sg 1000 (draft version)

200
Symbiotic Genius Creativity Platform Empowers Singapore’s Economy & 1 Billion Workers Worldwide for 1,000 Years SG 1000 WIN World’s ImagiNation Mark Lee, MIT S.M. ‘99 July 2016

Upload: sg1000win

Post on 07-Jan-2017

40 views

Category:

Education


0 download

TRANSCRIPT

Page 1: SG 1000 (draft version)

Symbiotic Genius Creativity Platform

Empowers Singapore’s Economy &

1 Billion Workers Worldwide for 1,000 Years

SG1000WIN

World’s ImagiNation

Mark Lee, MIT S.M. ‘99 July 2016

Page 2: SG 1000 (draft version)

SG 1000: World’s ImagiNation

Opportunity

SG1000

What?

How?

Creativity Research Proposal21st Century Meta-Idea

• The World’s ImagiNationfor Economic Growth

• General Purpose Technologyfor Multiple SG Industries• Economics Nobel Prize

SupportsSingapore’s Long-Term

(1000 Years) Survival

Next Steps

Ideas Drive Economic Growth

… the real scarce inputs the few who produce good ideas

will reap huge rewards

Supplemental Information

Page 3: SG 1000 (draft version)

“in the future, ideas will be the real scarce inputs … the few who provide good ideas

will reap huge rewards”

https://www.foreignaffairs.com/articles/united-states/2014-06-04/new-world-order

Note: Professor Brynjolfsson was my MIT thesis advisor; Professor Spence is the 2001 Economics Nobel Medalist

Driven by Creativity

Page 4: SG 1000 (draft version)

Creativity: “Connecting Things”

How Do Geniuses

Connect “Things”, e.g. ideas?

EvenMathematics

(The Most Rigorous Discipline)Requires

Creativity

Page 5: SG 1000 (draft version)

Fields Medalists Connect Disparate Mathematics Fields (connecting ideas)

The ability to detect hidden connections between

different areas of mathematicsCedric Villani

2010 Fields Medalist 1‘

a fundamental structural connection between

elliptic curves & modular formsAndrew Wiles

2016 Abel Prize Winner 2

“Monstrous Moonshine”: (a) & (b) (a) Group Theory (monster group)

1 + 196,883 (b) Number theory (j-function)

196,884Richard Borcherds

1998 Fields Medalist

“Math is … building bridges where on one side you see more clearly

than on the other,” Duncan said. “... this bridge was so

unexpectedly powerful that before you see the proof

it’s kind of crazy.” 3

1 Birth of a Theorem: A Mathematical Adventure – Cedric Villani2 https://www.myscience.org/wire/fermat_s_last_theorem_proof_secures_mathematics_top_prize_for_sir_andrew_wiles-2016-oxford3 Https://www.quantamagazine.org/20150312-mathematicians-chase-moonshines-shadow/

Page 6: SG 1000 (draft version)

Fields Winners(Math Genius)

BorcherdsVillaniWiles

Creativity Mathematics

Drives

Drives?

Creativity Drives Mathematics Can Mathematics Drive Creativity?

SG Challenge Identify

How Mathematics

Drives Creativity

“It is by logic that we prove, but by intuition that we discover”

Henri Poincare

Page 7: SG 1000 (draft version)

What Is SG 1000?

SG1000

Symbiotic GeniusHuman Imagination

w/Machine Intelligence

Page 8: SG 1000 (draft version)

Symbiotic Genius Transforms Creativity by UsingMath to Fuse Human Imagination w/Machine Intelligence

Solo

Within 1 Human

Symbiotic Genius

Future

BetweenHuman & MachineMath: Common Language

HumanImagination

MachineIntelligence

Math with

Group

Between Humanse.g.

Watson & Crick

Watson

Crick

Quantum Leaps in Genius Opportunities

Page 9: SG 1000 (draft version)

a mental construct that satisfies a collection of

explicit formal rules on which

mathematical reasoning can be carried out.

Committee on the Mathematical Sciences in 2025;

Board on Mathematical Sciences and Their Applications

http://www.nap.edu/catalog/15269/the-mathematical-sciences-in-2025

Mathematical Structure

IDEAa mental construct that satisfies a collection of

explicit formal rules on which

mathematical reasoning can be carried out.

Ideas are a Super-Set of Mathematical Structures

Page 10: SG 1000 (draft version)

Math: Common Language between Humans & Machines (STEM) Ideas: Mathematical Structures

Symbiotic Genius

BetweenHuman & Machine

Math: Common Language

HumanImagination

MachineIntelligence

Math with

IdeasAs

Mathematical Structures

&

Discover & Apply“Mathematics of Ideas”

to Drive Creativity

Page 11: SG 1000 (draft version)

Ask Learn Look Play Think Fuse Choose Make

Symbiotic Genius (SG) Connects Humans with Machines to Digitally Broaden, Accelerate & Deepen Creativity

Human + Digital ActivitiesHuman Activities

Broaden, Accelerate & Deepen The Creative & Innovation Processes *

Human Activities

Symbiotic Genius (SG) Math-Driven Creativity Platform

(VR/AR) + IOT

Imagination

Automation

Mathematics of Ideas* Adapted from K. Sawyer’s creativity process - Zig Zag: The Surprising Path to Greater Creativity

Page 12: SG 1000 (draft version)

Use the SG 1000’s Mathematics of Ideas to Mathematically Structure Scientific Initiatives for Faster & Easier Exploration with Discovery

Protein FoldingFold-It 1

Atom Snatching“Bring Home Water”

Quantum Moves 2

1 http://fold.it/portal/info/science 2 http://www.nature.com/nature/journal/v532/n7598/full/nature17620.html

Page 13: SG 1000 (draft version)

How to Achieve Symbiotic Genius (SG) 1000?

SG1000

Symbiotic GeniusHuman Imagination

w/Machine Intelligence

Page 14: SG 1000 (draft version)

Creativity Principle Resides in MathematicsLogic: A B; Imagination ∞

Logic will get you from A to B.

Imagination will take you everywhere

Imaginationis more important than knowledge

Einstein’s June 1933 Herbert Spencer lecture

at Oxford.

Page 15: SG 1000 (draft version)

Mathematicsthe Common Language between

Human and Machine(enables creativity)

Page 16: SG 1000 (draft version)

2002 Fields Medalist Voevodsky Launched Univalent Foundations

(Revolutionizes Foundations of Mathematics)

working on new foundations of mathematics based on homotopy-theoretic semantics of Martin-Lof type theories.

Voevodsky’s Mathematical R3evolutionat the Heidelberg Laureate Forum, Vladimir Voevodsky gave perhaps the most revolutionary scientific talk I’ve ever heard … soon, they’ll understand the foundations of mathematics very differently. 2

Univalent Foundations: New Foundations of MathematicsAccording to Voevodsky, the work of a mathematician is 5% creative insight and 95% self-verification. Moreover, the more original the insight, the more one has to pay for it later in self-verification work. The Univalent Foundations project … aims to lower the price by giving mathematicians the ability to verify their constructions with the help of computers. 3

VladimirVoevodsky

1 https://www.ias.edu/scholars/voevodsky 2 http://blogs.scientificamerican.com/guest-blog/voevodskye28099s-mathematical-revolution/3 https://www.ias.edu/news/press-releases/2014/voevodskyfoundationslecture

Page 17: SG 1000 (draft version)

Univalent Foundations(a Revolution in Mathematics)

Enable Symbiosis of Human Reasoning & Computer Verification

The Next Step After Human Reasoning: Human Creativity!

“The Creative Principle Resides in Mathematics”Albert Einstein

1933 Herbert Spencer Lecture, Oxford University 2

1 https://www.ias.edu/ideas/2014/voevodsky-origins2 http://plato.stanford.edu/entries/einstein-philscience/

2

1

Page 18: SG 1000 (draft version)

Math Revolution Enables Correctness & Creativity

Proof Assistant

Properties Connections

Univalent Foundations(for the next 1,000 years)

Enable

Math Objects(sub-set of ideas)

forMathematicians

forHumankind

Symbiotic Genius

.LT. 100K ~1 Billion Working Adults

Exploration of Creativity

Checking of Correctness

Potential Economics Nobel

Laureate(s)V. Voevodsky

2002 Fields Medalist

Math of Ideas

Page 19: SG 1000 (draft version)

Relationships Between Correctness and Creativity

Similarities Correctness Creativity

SymbioticApproach

Human + Machine

Conceptual Platform

UnivalentFoundations

Perhaps UV?

Difference Correctness Creativity

Focus PropertiesConnections

(per Grothendieck)

Page 20: SG 1000 (draft version)

Voevodsky: “Very Premature” to Explore CreativityHis Statement Opens The Opportunity to Lead the World

Fields Medalist Voevodsky’s belief that it’s “very premature” to use univalent foundations

to explore creativity opens the opportunity for Singapore to

lead the world in using mathematics to drive creativity.

Page 21: SG 1000 (draft version)

Do Ideas (e.g. math objects) have Dimensions & Structure?

(What If?) Ideas Have Dimensions & Structure

Ideas Are

Intangibles

(Present)Physical Reality

Ideas Become TangibleHumans Use Virtual Hands to

Creatively Explore & MakeTangible Ideas

(Future)Virtual Reality & Augmented Reality

Handbook of Genius, 2014

Page 22: SG 1000 (draft version)

Visual Representation of Mathematics Expands Understanding & Insights to Drive Creativity

Alma SteingartJunior Fellow

Harvard Society of FellowsCV

Visualization in the Age of Computerization. eds Webmoor, et al

Page 23: SG 1000 (draft version)

In Virtual Reality, Ideas Can Be Made Tangible as Idea Blocks

For Visual, Spatial and Kinesthetic Exploration

Spatial

Visual

Kinesthetic

Virtual Reality HumansManipulate Idea Blocks

(comparable to Lego blocks)To

Explore, Combine & Create

Apply MindCraft’s

Building Block ApproachUpon Ideas

ForGreater Creativity

Page 24: SG 1000 (draft version)

SG 1000A Meta-Idea for the 21st Century

SG1000

Symbiotic GeniusHuman Imagination

w/Machine Intelligence

Page 25: SG 1000 (draft version)

Prior Meta-Ideas That Improved the World

USA19th & 20th Centuries:Modern Research UniPeer-Review & Grants

UK17th Century Meta-Idea:

Patents & Copyrights

http://www.econtalk.org/archives/2007/08/romer_on_growth.html

Page 26: SG 1000 (draft version)

Countries that Produce Meta-Ideas Can Lead the World

Perhaps the most important ideas of all are meta-ideas. These are ideas about how to support the production and transmission of other ideas.

The challenge now facing … industrialized countries is to invent new institutions that encourage a higher level of applied, commercially relevant research and development in the private sector

http://www.econlib.org/library/Enc1/EconomicGrowth.html

Paul Romer

Chief EconomistWorld Bank

… the country that takes the lead in the twenty-first century will be the one that implements an innovation that more effectively supports the production of new ideas in the private sector.

Second, new meta-ideas of this kind will be found

Page 27: SG 1000 (draft version)

Singapore, as the 21st Century’s Symbiotic Genius Hub,Can Become The World’s ImagiNation* (WIN)

21st Century Meta-IdeaSymbiotic Genius 1000/Hub

World’s ImagiNation

* Successor to “Smart Nation”

Page 28: SG 1000 (draft version)

2 Axes of Existing & Emergent Creativity Research

PeopleProcess

ComputationalCreativity Machine

HumanCreative Machines

Solo Group

Page 29: SG 1000 (draft version)

The Wiley Handbook of Genius680 pages

May 2014, Wiley-Blackwell

Omits Mathematics

as a Source & Medium

of Creativity

http://as.wiley.com/WileyCDA/WileyTitle/productCd-1118367405.html

Traditional Creativity Research Focuses upon People & Process

Page 30: SG 1000 (draft version)

EU’s €43 million Computational Creativity Initiative Focuses Upon Creative Machines

http://www.prosecco-network.eu/engagement/launch-new-book-computational-creativity

Omits Mathematics

as a Source and Medium

of Creativity

“Creative Machines” An Attempt to Emulate AI

for Artificial Creativity

Feb 2015 release

Page 31: SG 1000 (draft version)

US$25M 5-Year(2016-2020)

“Symbiotic Genius” CreativityResearch Program Proposal

Symbiotic GeniusHuman Imagination

w/Machine Intelligence

SG1000

Page 32: SG 1000 (draft version)

SG 1000: Creates a Brand-New Creativity Research Field

PeopleProcess

ComputationalCreativity Machine

HumanCreative Machines

Solo GroupSymbiotic Genius

Human Imagination with

Machine Intelligence

Page 33: SG 1000 (draft version)

A Proposed US$25M 5-Year Creativity Research ProgramTo Discover & Explore the “Mathematics of Ideas”

1. the symbiosis of creativity, including vision, language, mathematics (perhaps UV?), and motor skills

2. circuits for creativity, which will span research in neurobiology and electrical engineering

3. the development of creativity in children and adults 4. Solo and group creativity

“Symbiotic Genius” (SG) 1000 Creativity and Innovation Research Program

Symbiotic GeniusHuman Imagination

w/Machine Intelligence

Page 34: SG 1000 (draft version)

US$25 Million Symbiotic Genius Research Program Complements US CBMM’s Intelligence

US$25MCenter

forBrains, Minds &

Machines

Creativity(Symbiotic Genius)

IntelligenceComplement

Proposed US$25 Million

Brain, Mind, & MathCenter

for “Symbiotic Genius”

Creativity

Page 35: SG 1000 (draft version)

“Mathematics of Ideas” Can Drive a

General Purpose Technology (GPT)

Platform

Page 36: SG 1000 (draft version)

SG 1000 can be the Next General Purpose Technology (akin to electrification and ICT)

Pervasive: used as inputs for many downstream sectors

Generalized Productivity

Gains

Inherent potential for technical improvements

Innovational complementarities: GPT innovation drives R&D productivity in downstream sectors

General Purpose Technologies “Engines of Growth” http://www.nber.org/papers/w4148

Page 37: SG 1000 (draft version)

Symbiotic Genius can Increase Human Productivity

HUMANS

MONEY

MACHINES

FillThisGap

US Data

Page 38: SG 1000 (draft version)

“Mathematics of Ideas” Can Result

in the Nobel Memorial Prize for Economic Sciences

Page 39: SG 1000 (draft version)

Applying Mathematics to Economics: Nobel Prize

Adam Smith1776 Publication

Paul Samuelson 1947 Publication

1970 Nobel Laureate

171 Years

Economics Mathematics of

Economics

mathematics

… essential

to an understanding of …

economics

Page 40: SG 1000 (draft version)

Technology Progress Identified as Primary Growth Driver Nobel Prize for Economic Sciences

Robert Solow1987 Nobel Laureate

Solow calculated that about four-fifths of the growth

in US output per worker was attributable to technical progress.

Page 41: SG 1000 (draft version)

Mathematics of Ideas(Worthy of a Nobel Memorial Prize in Economic Sciences?)

Mathematics of Economics

Technical Progress (Solow Residual)

Mathematics of Ideas

Paul Samuelson 1970 Nobelist

Robert Solow1987 Nobelist

Ideas drive

TBD Future Laureate(s)Idea Production Function

“I think you just blew my mind”Professor Vollrath

Page 42: SG 1000 (draft version)

Symbiotic Genius of

Human Imagination w/Machine Intelligence

The Future of Humanity

Mark Lee, MIT SM ‘[email protected]

July 2016

Page 43: SG 1000 (draft version)

SupplementalInformation

Page 44: SG 1000 (draft version)

Much Research Focuses Upon Intelligence

Page 45: SG 1000 (draft version)

Ideas Emerge from Creativity Creativity is NOT THE SAME as Intelligence

http://hbswk.hbs.edu/item/6760.html

Intelligence50% -85% Inheritable

Creativity25% - 40% Inheritable

The world is not limited by IQ. We are all limited by bravery and creativity

Astro Teller, Head of Google X

Page 46: SG 1000 (draft version)

Creativity Surpasses Intelligence

… Albert Einstein was a good friend, too. But none of them had a mind as quick and acute as Jansci [John] von Neumann. I have often remarked this in the presence of those men and no one ever disputed me.

... But Einstein's understanding was deeper even than von Neumann's. His mind was both more penetrating and more original than von Neumann's. .... Einstein took an extraordinary pleasure in invention. Two of his greatest inventions are the Special and General Theories of Relativity; and for all of Jansci's brilliance, he never produced anything as original.

More Creative Than

Smarter than

von Neumann

Source

Page 47: SG 1000 (draft version)

Imagination is More Important than Knowledge Einstein

Every great advance in science has issued from a new audacity of imagination.John Dewey

It's kind of fun to do the impossible.Walt Disney

Imagination is more important than knowledge

Logic will get you from A to B.Imagination will take you everywhere

Page 48: SG 1000 (draft version)

The Center for Brains, Minds and Machines (CBMM) is a multi-institutional collaboration,

headquartered at Massachusetts Institute of Technology (MIT) with managing partners at

Harvard University and Cornell University.http://cbmm.mit.edu/

MIT & Harvard Hosta US$25M NSF-Funded Study of Intelligence

Page 49: SG 1000 (draft version)

The deepest concepts in mathematics are those which link one world of ideas with another

Mathematics as Metaphor: Yuri Manin

Manin sees the important advances in mathematics coming from programs,

not from problems. Problems are usually solved by applying old ideas in new ways.

Programs of research are the nurseries where new ideas are born.

People who solve famous unsolved problems may win big prizes, but

people who start new programs are the real pioneers.

Birds and Frogs: Freeman Dyson. Notices of the AMS, Vol. 56, Number 2

Deepest Concepts Link Worlds of Ideas

Wisdom lives in

connections

Page 50: SG 1000 (draft version)

Receiving Princeton Mathematician JH Conway’s Advice

Picture was taken at Princeton University “Genius at Play”

A book about John Conway

Page 51: SG 1000 (draft version)

OZYMANDIAS

SG1000

Ideas Can Live Longest (surpassing infrastructure & institution in longevity)

X

√!

Lee Kuan Yew’s Name

Can Be Discerned(w/imagination)

Within This Graphic

Infrastructure

Idea

Institution

Page 52: SG 1000 (draft version)

White House RFI on Artificial Intelligence

https://www.whitehouse.gov/blog/2016/06/27/how-prepare-future-artificial-intelligence

Place Holder

Page 53: SG 1000 (draft version)

Leading the “Symbiotic Genius” Research Center

Very few persons are capable of grasping the entire forefront of science, of seizing not only the weak points of resistance, but also the part that is most important to take on, the art of massing the troops, of making each sector work toward the success of the others, etc. ––André Weil

https://www.ias.edu/about/publications/ias-letter/articles/2010-summer/langlands-program

Page 54: SG 1000 (draft version)

Connecting Ideas : Human Human + Technology

Human Connecting of Ideas

Human + TechnologyCollaborative Connecting of Ideas

TechnologyThe Future?

http://sdm.mit.edu/conf04/Presentations/cchristensen.pdf

IdeasExisting & Emergent

Page 55: SG 1000 (draft version)
Page 56: SG 1000 (draft version)

Presentation

Page 57: SG 1000 (draft version)

MacArthur Foundation’s $100M & Change Competition Potential Funding Resource for SG 1000’s ProtoTyping

Use Judging Mechanism to Validate Ideas

Provides Solution to Technological Unemployment&

Meta-Solution to Others – Helps to Stimulate their Solution

Page 58: SG 1000 (draft version)

2014 MTI Analysis

Page 59: SG 1000 (draft version)

The Singapore Government Has the Need & Funds

to Support theProposed US$25M 5-Year

(2016-2020)“Symbiotic Genius”

Creativity Research Program

Page 60: SG 1000 (draft version)

Singapore Government : Trying to Promote Creativity

“Creative Intelligence” – Bruce Nussbaum

Page 61: SG 1000 (draft version)

Singapore Allots SG$1.6B (~US$1.2B) for White Space R&D Opportunities

http://www.nrf.gov.sg/research/r-d-ecosystem/rie-2015

Page 62: SG 1000 (draft version)

Singapore Government

More Reasons to Fund The Proposed US$25M 5-Year

(2016-2020)“Symbiotic Genius”

Creativity Research Program

Page 63: SG 1000 (draft version)

https://research.standardchartered.com/configuration/ROW%20Documents/Asia%E2%80%99s_productivity__The_new_story_06_05_14_02_31.pdf

“Symbiotic Genius” Creativity Can Raise Singapore’s Lagging Productivity

Page 64: SG 1000 (draft version)

Category Theory Connects Ideas Across Disciplines

Page 65: SG 1000 (draft version)

All Scientific Thought Expressed via Category Theory

https://www.sciencenews.org/article/one-most-abstract-fields-math-finds-application-real-world

Where math is an abstraction of the real world, category theory is an abstraction of mathematics: It describes the architectural structure of any mathematical field, independent of the specific kind of mathematical object being considered.

Yet somehow, what is in a sense the purest of all pure math is now being used to describe areas throughout the sciences and beyond, in computer science, quantum physics, biology, music, linguistics and philosophy.

David Spivak of MIT has perhaps the boldest vision for category theory’s potential. In a paper posted February 27 (2013) on arXiv.org, he argues that all scientific thought can be expressed in a structured way using category theory. Both ideas and the data supporting them can be encoded in the universal language of category theory, allowing scientists to present a database with their full work. Spivak even imagines a Facebook-like interface with people’s full thoughts and experiences presented in a category theoretic database that would connect people whose databases overlap.“If people adopt the level of rigor of category theory,” he says, “it will provide a precise language for science as a whole, and it will help individual scientists to clarify their thinking.

Page 66: SG 1000 (draft version)

Russian Interview: High Abstraction, High Complexity

Page 67: SG 1000 (draft version)

Symbiotic Genius Connections between

Human Imagination & Machine Intelligence

Licklider also realized that interactive computers could provide more than a library function, and could provide great value as automated assistants.

He captured his ideas in a seminal paper in 1960 called Man-Computer Symbiosis, in which he described a computer assistant that could answer questions, perform simulation modeling, graphically display results, and extrapolate solutions for new situations from past experience.

Like Norbert Wiener, Licklider foresaw a close symbiotic relationship between computer and human, including sophisticated computerized interfaces with the brain.

Page 68: SG 1000 (draft version)

Formalizing Ideas Before Entering Into Computers

S1

This course is an attempt to extol the virtues of a new branch of mathematics, called category theory, which was invented for powerful communication of ideas betweendifferent fields and subfields within mathematics.

By powerful communication of ideas I actually mean something precise. Different branches of mathematics can be formalized into categories. These categories can then be connected together by functors. And the sense in which these functors provide powerful communication of ideas is that facts and theorems proven in one category can be transferred through a connecting functor to yield proofs of analogous theorems in another category. A functor is like a conductor of mathematical truth.

… language and toolset of category theory can be useful throughout science. We build scientific understanding by developing models, and category theory is the study of basic conceptual building blocks and how they cleanly fit together to make such models. Certain structures and conceptual frameworks show up again and again in our understanding of reality.

when we formalize our ideas, our understanding is almost always clarified. Our ability to communicate with others is enhanced, and the possibility for developing new insights expands. And if we are ever to get to the point that we can input our ideas into computers, we will need to be able to formalize these ideas first.

Page 69: SG 1000 (draft version)

Ada Lovelace’s Enduring

Symbiotic Vision (200 Years Hence)

Page 70: SG 1000 (draft version)

Ada Lovelace on Human Creativity and Machine Intelligence

Lovelace also embraced what she called “poetical science,” combining the arts championed by her father and the technology emerging from the Industrial Revolution.

Her conception of combining human creativity with computer processing for innovation is the backbone of the breakthroughs chronicled in the rest of the book http://www.aspentimes.com/news/13301821-113/book-isaacson-computer-innovators

Isaacson points to Lovelace's symbiotic theory of human/machine collaboration. While Turing set standards by which a computer would be able to surpass humans, Lovelace foresaw a future where people and machines make each other better.

A different way of looking at the way the computer age evolved is sort of Ada Lovelace’s way which is that computers and humans will evolve symbiotically. They’ll be partners. We will get more intimately connected to our machines and the machines will amplify our intelligence and our creativity will amplify what the machines could do. And we don’t need to try to create robots that’ll work without us. It’s kind of cooler to create this partnership of humans and technology or as she put it the humanities and engineering.http://bigthink.com/think-tank/walter-isaacson-on-alan-turing

Page 71: SG 1000 (draft version)

the world's first computer programmer

Ada Lovelace's famous dismissal of artificial intelligence.

"The Analytical Engine has no pretensions whatever to originate anything.

It can do whatever we know how to order it to perform.

It can follow analysis; but it has no power of anticipating any analytical relations or truths."

“Computing Machinery and Intelligence".

Ada Lovelace Dismisses Artificial Intelligence

Page 72: SG 1000 (draft version)

Ada Lovelace on Mathematics,Human Imagination and Machine Intelligence

Ada’s ability to appreciate the beauty of mathematics is a gift … She realized that math was a lovely language, one that describes the harmonies of the universe

This ability to apply imagination to science characterized the Industrial Revolution as well as the computer revolution, for which Ada was to become a patron saint.

she was able to glimpse a future in which machines would become partners of the human imagination

http://www.brainpickings.org/2014/12/10/ada-lovelace-walter-isaacson-innovators/

http://www.popsci.com/article/gadgets/life-and-times-ada-lovelace-first-computer-

programmer

Page 73: SG 1000 (draft version)

Walter Isaacson/Aspen Institute on the Digital Revolution

The Innovators

CEO

the quest for artificial intelligence— machines that think on their own —

has consistently proved less fruitful than creating ways

to forge a partnership or symbiosisbetween people and machines.

In other words, the collaborative creativity that marked the digital age

included collaboration between humans and machines.

the combined talents of humans and computers, when working together in partnership and symbiosis,

will indefinitely be more creative than any computer working alone.

Page 74: SG 1000 (draft version)

Combinatorial (Human+Machine) > Exponential (Machine)

http://chiefmartec.com/2014/05/transformation-marketing-second-machine-age/

Since combinatorial math balloons even more explosively

than exponential growth — O(n!) instead of O(2n) —

the possibilities are effectively limitless.

As Erik and Andrew note, with just 52 seed ideas, you can generate more potential combinations

than there are atoms in our solar system.

The limit isn’t coming up with new recombinant innovations —it’s our (human) ability to identify the good ones

out of a massive field of possibilities

Thus Symbiotic Genius Surpasses the Singularity

Page 75: SG 1000 (draft version)

Singapore’s IN2015

http://www.ida.gov.sg/Infocomm-Landscape/iN2015-Masterplan.aspx

In May 2005, a high-level steering committee convened to spearhead the development of Singapore's 10-year masterplan to grow the infocommsector and to use infocomm technologies to enhance the competitiveness of key economic sectors and build a well-connected society.

SG: An Idea NationPowering Ideas Worldwide for a Thousand Years

(Generations)

Page 76: SG 1000 (draft version)

Mass Innovation Mass Flourishing

Phelps makes the case that the wellspring of this flourishing was modern values such as the desire to create, explore, and meet challenges.

Most innovation wasn't driven by a few isolated visionaries like Henry Ford; rather, it was driven by millions of people empowered to think of, develop, and market innumerable new products and processes, and improvements to existing ones.

The ultimate fate of modern values is now the most pressing question for the West: will Western nations recommit themselves to modernity, grassroots dynamism, indigenous innovation, and widespread personal fulfillment, or will we go on with a narrowed innovation that limits flourishing to a few?

Imagination InnovationCreativityInspiration

Edmund Phelps2006 Nobel Laureate

Economics

Page 77: SG 1000 (draft version)

1 Degree of Separation from Bill Gates

http://www.gatesnotes.com/Books/How-Asia-Works

Page 78: SG 1000 (draft version)

Solo Genius(Within)

Group Genius(Between Humans)

Symbiotic Genius(between human & machine)

Symbiotic Genius Includes Solo and Group Genius

Page 79: SG 1000 (draft version)

Dartmouth Finds a Neurological Basis for Imagination

http://www.psychologytoday.com/blog/the-athletes-way/201309/the-right-brain-is-not-the-only-source-creativity

A Sep 2013 study from scientists at Dartmouth College paints a fuller picture of this mental workspace by imaging the brain regions involved with mentally manipulating images, like the shapes above.

… imagination stems from a widespread network of brain areas that collectively manipulate ideas, images and symbols. This "mental workspace" had been theorized before, but this study provides new empirical evidence.

The findings were published on September 16, 2013 in the journal Proceedings of the National Academy of Sciences. The study is titled "Network Structure and Dynamics of the Mental Workspace.

Page 80: SG 1000 (draft version)

No Comparable US-Govt Funded Initiative

Explaining Creativity2nd Ed, 568 pages

Page 81: SG 1000 (draft version)

National University of Singapore- Global Top 25 for Needed Disciplines -

Discipline Global Ranking

Computer Science & Information Systems 9

Mathematics 13

Biological Sciences 17

Medicine 21

Psychology 25

http://www.topuniversities.com/subject-rankings

Page 82: SG 1000 (draft version)

“Symbiotic Genius” Creativity ResearchThat Complements Intelligence Research

US$25MCenter

forBrains, Minds and

Machines

Creativity(Symbiotic Genius)

IntelligenceComplement

Opportunity for

Nobel-Worthy“Symbiotic Genius”

CreativityResearch

Page 83: SG 1000 (draft version)

USA: US$25M On Intelligence, but $0 on Creativity EU: 43M € on Computational Creativity

Page 84: SG 1000 (draft version)

Cultivating Creativity

Page 85: SG 1000 (draft version)

Ken Robinson: Imagination, Creativity, Innovation

http://ww2.kqed.org/mindshift/2015/04/22/sir-ken-robinson-creativity-is-in-everything-especially-teaching/

Imagination

Creativity

Innovation

Imagination is the source of all human achievement.

creativity is applied imagination.

Page 86: SG 1000 (draft version)

Creativity Declines Over Time (as reported by Sir Ken Robinson)

http://www.nytimes.com/roomfordebate/2013/09/15/is-creativity-endangered/cities-are-the-fonts-of-creativity

1,600 Children

98%

280,000 Adults

32%10%

2%2%

3-5 8-10 3-15

Not to

Scale

Ages 25

Page 87: SG 1000 (draft version)

Despite a High IQ Population, Singapore Lacks Creativity

p. 42, Intelligence: A Unifying Construct for the Social SciencesRichard Lynn, Tatu Vanhanen

Page 88: SG 1000 (draft version)

The EU Funds a EU 1 Billion Human Brain Project

http://cordis.europa.eu/fp7/ict/programme/fet/flagship/doc/press28jan13-01_en.pdf

The "Human Brain Project" will create the world's largest experimental facility for developing the most detailed model of the brain, for studying how the human brain works and ultimately to develop personalised treatment of neurological and related diseases.

This research lays the scientific and technical foundations for medical progress that has the potential to will dramatically improve the quality of life for millions of Europeans.

The European Commission will support "Graphene" and the "Human Brain Project" as FET "flagships" over 10 years through its research and innovation funding programmes. Sustained funding for the full duration of the project will come from the EU's research framework programmes, principally from the Horizon 2020 programme (2014-2020)which is currently negotiated in the European Parliament and Council.

Page 89: SG 1000 (draft version)

http://humanities.tau.ac.il/cohn_eng/

How does Science know what it knows? Or Math, Culture, History and Art, for that matter? Cohn scholars ask themselves these questions every day. They imagine “space sailing” with astronauts, and interpret where modern mathematics bisects art. They find connections between dreams and medicine, and challenge contemporary concepts of time.

http://www.cftau.org/spotlights/cohn-institute-for-the-history-and-philosopy-of-science-and-ideas/

Page 90: SG 1000 (draft version)

http://www.mpiwg-berlin.mpg.de/en/index.html

Page 91: SG 1000 (draft version)

http://arxiv.org/ftp/arxiv/papers/1210/1210.6929.pdf

Page 92: SG 1000 (draft version)

Page on Moon Shots

Page 93: SG 1000 (draft version)

The Impossible Task

Page 94: SG 1000 (draft version)

Univalent Foundations

Page 95: SG 1000 (draft version)

Math Foundations IAS 2014 presentation

Page 96: SG 1000 (draft version)

CMU’s US$7.5M Award

The MURI award, officially entitled "Homotopy Type Theory: Unified Foundations of Mathematics and Computation," … will establish CMU as the international center of research in this new field, which uses a fusion of tools drawn from abstract mathematics, such as homotopy and category theory, and the powerful computational paradigms of type theory and program verification.

The resulting new, computational foundation for mathematics is not only an important theoretical advance. It also promises to provide a useful practical tool for mathematicians and other scientists in the form of powerful computer systems that can automatically verify the correctness of large and complex mathematical proofs and organize and unify a large body of verified mathematical theory in a form that can be reused for other scientific purposes. Equally important is the promise of new applications in theoretical computer science through the use of abstract geometrical intuitions and methods.

Page 97: SG 1000 (draft version)

One Metric of Symbiotic Genius’s Success

http://www.xprize.org/ted

On March 20, from the TED2014 stage, Chris Anderson and Peter Diamandis

join forces to announce the A.I. XPRIZE presented by TED,

a modern-day Turing test to be awarded to the first A.I. to walk or roll out on stage and

present a TED Talk so compelling that it commands a standing ovation from you, the audience.

Page 98: SG 1000 (draft version)

Truly a Revolution !

Unexpected Connection to Creativity

Proof Verification is Linear

Creativity ‘s Creation Phase is Divergent, Non-Linear, Combinatorial

Page 99: SG 1000 (draft version)

Your Revolution EmpowersA “Creativity” Revolution that Grows the World

Symbiotic Genius Focuses Upon Symbiosis of Ideas between Man & Machine

- NOT Person (Solo or Group) or Process –- Needs a Way for Humans

- to Connect /Collaborate Ideas with Machines : Math is the ANSWER

Your Revolution Enables Computer to work With Math

For correctness

Math is Ideas(Can be especially esoteric)

My RevolutionWork with Ideas to Create

TRULY REALIZE THE POWER OF YOUR WORKEnable the 3rd Digital Age – more creativity & empowerment of everyone

Page 100: SG 1000 (draft version)

Viewing Creativity as a System: REDRAW?

Input Process: Solo/Group Output

Ideas(existing)

Ideas(New)

POOL OF IDEAS

Human Imagination

&Initiative

Currently Human Only

Symbiotic GeniusIncludes

Humans & Computers

PureMath

w/highAbstraction

Might be easierTo Model??

Page 101: SG 1000 (draft version)

1st Machine AgeMuscle

2nd Machine AgeMind

1st Digital AgeProcess Information

2nd Digital AgeProvide

Intelligence

3rd Digital AgeProvoke Ideas

SupplementHuman Intel

SubstituteHuman Intel

WidespreadJob Loss

Pocket Prosperity

Cultivate Symbiotic Genius*Human Imagination w/Machine Intel

(meta-idea)

Pervasive Prosperity

*GeniusSolo Group Symbiotic

Present Potential

OpposingFutures

3rd

Digital Age

Mass Flourishing

Page 102: SG 1000 (draft version)

HoTT

Page 103: SG 1000 (draft version)

Type Theory Drives Proof Assistants

THEOREMS are IDEAS

Page 104: SG 1000 (draft version)

Much Work Remains to be Done

Page 105: SG 1000 (draft version)

What’s Going On?

“Voevodsky is developing a new theory which places mathematics on a new foundation. The questions he raises concern the foundations of mathematics as well as those of computer science and logic.” This theory is called “Homotopy Type Theory (HoTT)”, and “Univalent Foundations of Mathematics” is the computer-oriented project in which it is being investigated.

A simpler language for computer proofsWithin the framework of HoTT, Vladimir Voevodsky is developing an approach that allows mathematical proofs to be translated into a programming language for computer proof assistants much more easily than they can be today. If this approach succeeds, computers could in the future check proofs that are so complicated that even distinguished mathematicians make mistakes. “With the help of computer proof assistants, we can build highly complex and highly abstract mathematical theories”, says Voevodsky.

Page 106: SG 1000 (draft version)
Page 107: SG 1000 (draft version)

Modelling

Page 108: SG 1000 (draft version)

Semantic Scholar

Semantic Scholar is a new service for scientific literature search and discovery.

Semantic Scholar focuses on semantics and textual understanding, allowing users to find key survey papers about a topic or producing a list of important citations or results in a given paper. It also serves as a resource and test bed for research in AI. Semantic Scholar is currently under active development at AI2 and will launch in late 2015.

http://allenai.org/semantic-scholar.html

Page 109: SG 1000 (draft version)

Fields Medalist Gowers: Classifying Math Papers by Ideas

Page 110: SG 1000 (draft version)

Stanford AI 100

https://ai100.stanford.edu/

The One Hundred Year Study on Artificial Intelligence, or AI100, is a 100-year effort

to study and anticipate how the effects of artificial intelligence will ripple through every aspect of how

people work, live and play.

OBSERVATION

Page 111: SG 1000 (draft version)

Handbook of Genius

Page 112: SG 1000 (draft version)

Handbook of Genius

Page 113: SG 1000 (draft version)

How Google Works – Combinatorial Innovation

Page 114: SG 1000 (draft version)

Focus Upon the Innovation

Page 115: SG 1000 (draft version)

Productivity Growth – Alan Greenspan’s Book?

Page 116: SG 1000 (draft version)

Creative Process

Page 117: SG 1000 (draft version)

Creativity: Focus & Approaches

Person People(2+)

Process Product

Nature (genetics)Nurture

(environment)Neuroscience

PsychologyComputing

Focus

Approaches

Group Dynamics

Mathematics(olog)

& &

&e.g. “zig-zag”

Only Math Can Drive Combinatorial InnovationErik B, Thiel, Eric Schmidt

Math has lots of ideas!

Page 118: SG 1000 (draft version)

Ada Lovelace

Einstein

JCR Licklider

Mathematics

Symbiosis

Symbiotic Genius

1815-1852(born 10 Dec)

2015-??

Fulfilling Ada Lovelace’s Vision of Symbiosis with Math 200 Years Later

??

Page 119: SG 1000 (draft version)

Steve Jobs: Embrace the Limitless

http://www.fastcompany.com/3042435/steves-legacy-tim-looks-ahead

Page 120: SG 1000 (draft version)

Why Will SG Invest?

Already the Smartest Nation

Launched the “Smart Nation” Initiative (Previously Intelligent Nation)

This can be a Complementary Idea Nation(Hint of Ideation)

1st of its KindFocuses upon the “IDEA”

No mention of using math to be creative Handbook of Genius (‘14) & Creative machines (‘15)

SG = Symbiotic Genius = Singapore

Page 121: SG 1000 (draft version)

Funding Range – between EU & US (NSF & DOD)

EU: 43 Million Euros for 3 years

US: US$25M NSF for MBMM @ MIT, Harvard & Cornell

US$7.5M DOD for CMU

reshape the foundations of mathematics by developing a new approach that allows for large-scale formalization and computer verification. … a deep and surprising connection between abstract, mathematical geometry and computational logic

exploring the use of Homotopy Type Theory to provide new computational tools for mathematical research.

Page 122: SG 1000 (draft version)

CMU’s US$7.5M Award

The MURI award, officially entitled "Homotopy Type Theory: Unified Foundations of Mathematics and Computation," … will establish CMU as the international center of research in this new field, which uses a fusion of tools drawn from abstract mathematics, such as homotopy and category theory, and the powerful computational paradigms of type theory and program verification.

The resulting new, computational foundation for mathematics is not only an important theoretical advance. It also promises to provide a useful practical tool for mathematicians and other scientists in the form of powerful computer systems that can automatically verify the correctness of large and complex mathematical proofs and organize and unify a large body of verified mathematical theory in a form that can be reused for other scientific purposes. Equally important is the promise of new applications in theoretical computer science through the use of abstract geometrical intuitions and methods.

Page 123: SG 1000 (draft version)

Why Pay Money for Pure Math, which does not have any Practical Applications

Page 124: SG 1000 (draft version)

With SG, Pure Math Maps to Other Disciplines, Which Then Figures out their Own Practical Applications

What are the Invariants in Pure Mathematics Ideas

that Other Disciplines can Borrow?

Page 125: SG 1000 (draft version)

Symbiotic Genius Boosts Innovation

Mass InnovationMass Creativity Mass Flourishing

Symbiotic GeniusHuman Imagination

WithMachine Intelligence

Digital Economy Modern Society“Imagine Like a Genius”

Dartmouth Research“Imagination” Neuroscience

MIT Professor Erik Brynjolfsson

Nobel LaureateEdmund Phelps

Page 126: SG 1000 (draft version)

EU Allots €43M for Computational Creativity (2013 onwards for 3 years)

http://prosecco-network.eu/

Page 127: SG 1000 (draft version)

“Symbiotic Genius” Creativity can Raise Singapore’s Low Productivity Growth

http://www.mti.gov.sg/ResearchRoom/SiteAssets/Pages/Economic-Survey-of-Singapore-2014/FA_AES2014.pdf

Excluding 2010, productivity growth has been lacklustre, at 0.3 per cent on a CAGR basis

https://research.standardchartered.com/configuration/ROW%20Documents/Asia%E2%80%99s_productivity__The_new_story_06_05_14_02_31.pdf

Singapore

Page 128: SG 1000 (draft version)

Global TFP

http://www.mas.gov.sg/~/media/resource/publications/macro_review/2014/Special%20Feature%20A_pw.pdf

TFP growth across the developed economies over this period averaged only 0.2% p.a. or 0.6% point lower than in the 1990s.

Page 129: SG 1000 (draft version)

Gross World Product

http://en.wikipedia.org/wiki/World_population

The nominal 2013 gross world product was estimated at US$74.31 trillion by the CIA,

Page 130: SG 1000 (draft version)

EU Computational Creativity Funding Goals

Page 131: SG 1000 (draft version)

EU Computational Creativity Funding Goals

Page 132: SG 1000 (draft version)

EU Computational Creativity Funding Goals

http://prosecco-network.eu/

Page 133: SG 1000 (draft version)

EU Computational Creativity Funding Goals

http://prosecco-network.eu/goals

CC can achieve its potential as a future and emerging topic of research and technology development, a range of important coordination actions are needed to consolidate and grow the

field while engaging with neighboring disciplines.

These include focused outreach to researchers in cognitive science, psychology, linguistics, and neuroscience, as well as to practitioners in musicology, literary theory/art theory, design

theory, and pedagogy.

Where is Mathematics?

Page 134: SG 1000 (draft version)

Prosecco Team Focuses Upon Non-Scientific Creativity Team’s Recent Publications & Prosecco Projects

http://prosecco-network.eu/team

Tony Veale project coordinator. University College Dublin (IE)linguistic creativity, metaphor, simile, humor, analogy, irony, poetry

Simon Colton Goldsmiths, University of London (UK)computational painting, poetry generation, video game design, discovery in mathematics, philosophical aspectsF. Amilcar Cardoso Universidade de Coimbra (PT)concept creation, affective computing, music generationPablo Gervás Universidad Complutense de Madrid (ES)story-telling, narratology, poetry, natural-language generationGeraint Wiggins Queen Mary, University of London (UK)music generation, musicology, formal foundations of creativityNada Lavrač Institut Josef Stefan (SLO)machine learning, rule learning, data & literature mining, bisociationHannu Toivonen University of Helsinki (FI)machine learning, rule learning, data mining, poetry, music generation

18/31 (58%) of listed research interests are non-scientificProject Coordinator’s Research Interests are All Non-Scientific (7/7)

Page 135: SG 1000 (draft version)

Prosecco-Funded Initiatives

http://www.whim-project.eu/

build a software system able to invent, evaluate and present fictional ideas with real cultural value for artefacts such as stories, jokes, films, paintings and advertisements.

understand the relationship between learning and creativity by means of practical engineering, theoretical study, and cognitive comparison. We begin from the position that creativity is a function of memory, that generates new structures based on memorised ones, by processes which are essentially statistical.

avoid the problem of extrinsic domain reasoning (e.g., physics in the real world) so we use music as our domain; extrinsic reasoning for music is small in comparison.

http://www.lrn2cre8.eu/

Page 136: SG 1000 (draft version)

Prosecco-Funded Initiatives

http://conceptcreationtechnology.eu/

study conceptual creativity in humans and machines. Hierarchical memory representations and techniques for conceptual blending are implemented in context of a cognitive architecture of creativity based on information theoretic measures.

Implementation of a slogan generator

http://www.coinvent-project.eu/en/home.html

develop a computationally feasible, cognitively-inspired formal model of concept creation, drawing on Fauconnier and Turner's theory of conceptual blending, and grounding it on a sound mathematical theory of concepts.

.. based on Goguen's proposal of a Unified Concept Theory

Page 137: SG 1000 (draft version)

Build UponUnivalent FoundationsTo Increase Creativity,

Which Benefits 1.3 Billion People

A US$25 Million 5-Year(2016-2020)

“Symbiotic Genius” Creativity Research Program

(proposed 10th Dec 2015 Launch in Singapore)

Mark LeeApril 2015

[email protected]

Page 138: SG 1000 (draft version)

Connections Enable Genius Solo Group Symbiotic

Solo Group Symbiotic

Within 1 Human Between Humanse.g.

Watson & Crick

Human Imagination &

Machine Intelligence

Mathematicsis the Formal Language

BetweenHuman & MachineThus the need for

Univalent Foundations

The FutureEvolution of Genius

Page 139: SG 1000 (draft version)

Singapore’s Moon-Shot Solves For “Greater Creativity”

SG1000

Page 140: SG 1000 (draft version)

SG 1000 Launch: Dec 10, 2015Ada Lovelace’s 200th Birthday Anniversary

SG1000

Page 141: SG 1000 (draft version)

ATOMS

THOUGHTS

From Atoms to ThoughtsFrom Internet of Things to Internet of Thinks

Page 142: SG 1000 (draft version)

SG1000

0%

Ideas’ Dimensions & Structure – Possible Outcomes

100%

Page 143: SG 1000 (draft version)

Creativity is Connecting Things (Ideas)

Mathematical Work is Based Upon

Ideas

Univalent FoundationsFormalizes

Mathematics(Ideas)

Humans UseComputers

ToConnect & Combine

Ideas(math & non-math)

Greater Creativity

Grothendieck

Page 144: SG 1000 (draft version)

http://www.directorypatent.com/WO/WOZZSLASHZZ2009ZZSLASHZZ061283.html

Co-Filed Patent with the National University of Singapore

Page 145: SG 1000 (draft version)

Focus Upon the Innovation

Page 146: SG 1000 (draft version)

Do Ideas Have Dimensions and Structure?

What If?Ideas Have Dimensions & Structure

Handbook of Genius, 2014

Ideas Are

Intangibles

Physical Reality

Ideas Made TangibleThus it’s Easier for Humanity to Manipulate with Digital Hands

To be Creative

Virtual Reality

TOC

Page 147: SG 1000 (draft version)

Solving a Tough Problem to Make it Easier for Others

Page 148: SG 1000 (draft version)

See Like an Expert - Solution GraphsSee Like a Genius - Serendipity Graphs

Solution Graphs(Experts for Existing Solutions)

Private & Confidential

Serendipity Graphs(Genius for Brand-New Solutions)

Page 149: SG 1000 (draft version)

To See Like an {Expert, Genius}

To See Like An Expert – Existing SolutionsPattern Recognition

To See Like a Genius – New SolutionsImagination + Diverse Ideas

Creativity, which Drives New Ideas

Page 150: SG 1000 (draft version)

The Three AI’s

Always-On Information

Artificial Intelligence

Amplified Imagination

Ray Kurzweil

Page 151: SG 1000 (draft version)

Process is 6X as Important as Analysis

http://www.mckinsey.com/insights/strategy/the_case_for_behavioral_strategy

Page 152: SG 1000 (draft version)

Iteration Improves Decision Making

http://teaching.fec.anu.edu.au/MGMT7030/Nutt%20-%20Half%20the%20Decisions%20Fail.pdf

Page 153: SG 1000 (draft version)

Creativity: Connecting Things (Steve Jobs)

Associational thinking—drawing connections among questions,

problems or ideas from unrelated fields—

http://www.forbes.com/sites/tompost/2011/07/20/the-most-innovative-companies-today-

and-tomorrow/

Page 154: SG 1000 (draft version)

Private & Confidential

Use a Wearable w/Solution Graph Platform For JIT OJT Decision-Making Recommendations

See

Via Wearable Eyewear

Extract

InformationVia

Computer Vision

Evaluate

• Sufficiency• Fit

Recommend

JIT OJT Decisions

To Employees

Solution GraphsW/AI

Cloud Computing

Use the SEE’R Wearable to Visually Acquire Information(see HERE to Compare w/Google Glass for actual reality)

EmployeesApply

DecisionsFor

ImprovedProductivity

KnowledgeDriven

Decisions

Display Device

Page 155: SG 1000 (draft version)

Private & Confidential

Charge Subscriptions to Support Superior Decision Making (90% of the Value for 20% of the Training Cost)

Average Annual Per Employee Training Budget$1,200

SEE’R Wearable/Solution Graph Platform

AI

Charge $20

MonthlyFor

90% of the Value

Market Size $26 Billion

Page 156: SG 1000 (draft version)

“See” Like a GeniusWearables With Serendipity Graphs

TransformThe Creative Process

Page 157: SG 1000 (draft version)

The Brain’s Neural Network Supports Creativity

http://www.popsci.com/science/article/2013-09/how-imagination-works

Page 158: SG 1000 (draft version)

$134 B Corporate Education Opportunity

http://www.astd.org/Publications/Magazines/TD/TD-Archive/2012/11/ASTD-2012-State-of-the-Industry-Report

ASTD estimates that U.S. organizations spent approximately $156.2 billion on employee learning in 2011. Of this total direct learning expenditure, 56 percent ($87.5 billion) was spent internally. The remainder was split between tuition reimbursement, which accounted for 14 percent ($21.9 billion), and external services comprising 30 percent($46.9 billion).

The average direct expenditure per employee decreased in 2011 to $1,182 from a peak expenditure of $1,228 ($1,267 adjusted for inflation) in 2010. This is a 4 percent (7 percentinflation adjusted) decrease on direct expenditure per employee on L&D activities and infrastructure.

Several factors influence the average spending per employee, including company size. Small companies typically spend more per employee on L&D than their larger counterparts. In 2011, small organizations with fewer than 500 employees spent on average $1,605, medium companies with 500 to 9,999 employees spent $1,102, and large organizations with a workforce size of more than 10,000 spent $825 per employee.

BEST Award-winning organizations on average spent $1,272 per employee.

Page 159: SG 1000 (draft version)

Corporate Education Opportunity - 2

On average, employees clocked 31 hours of training in 2011, which is about one hour less than 2010 and six fewer hours than a peak of 37 hours in 2007. However, it is five hours more than employees were using 10 years ago.

Employees at G500 organizations average slightly more than 35 hours of learning, which is almost five hours more than the consolidated average. BEST organizations are excelling at weaving learning into the corporate culture. For the past seven years their employees have averaged more than 40 hours of learning, and this year employees at BEST organizations used on average 49 hours of learning.

while the number of hours of learning an employee used remained stable, the cost per learning hour used has increased. The cost per hour of learning has increased by approximately $10 each year for the past four years.

In 2011 there was a $13 (18 percent) increase for the consolidated group to a peak cost of $85 per learning hour used. Small and midsize organizations drive the higher cost. The average cost per learning hour used in a small company with fewer than 500 employees is $126, compared with $82 for a midsize organization, and $51 for a large organization with more than 10,000 employees.

Page 160: SG 1000 (draft version)

“See Like an Expert”: Collective Productivity

Private & Confidential

http://www.engadget.com/2013/05/22/thad-starner-on-google-glass/

… Starner calls "intellectual collectives." These are, effectively, social networks -- but not in the Facebook or (more appropriately) Google+ kind of way. These networks are much more focused on real-time information sharing and collaboration. In other words: they make people more productive, not less.

could this be done on Glass? Absolutely, said Starner, but he isn't confident there's a lot of priority for it:

One of the academics will do it. The question is whether there's a commercial reason for it. When you make something like this that has a clear focus, has a clear use, stuff that's well-

baked, stuff that's compelling -- but when that hardware gets out to all my buddies [at universities] you'll see them adapting to some very interesting uses.

And that's where a line may need to be drawn, dividing Starner's vast experience in wearable technologies and the future of Glass and other derivative devices. In an academic setting, when you actively research something new and contribute to a broader project, you can get away with wearing a backpack full of circuitry while constantly adjusting a weighty

pair of glasses on your nose. After all, you're doing it for science.

Page 161: SG 1000 (draft version)

Choosing From 2+ Options Lead to Better Decisions (as opposed to Yes/No decisions)

http://www.sciencedirect.com/science/article/pii/0377221785902267

Decision quality is negatively influenced by the complexity of the decision problem. Alternative designing has a strong positive impact on decision quality. Information search shows no significant relationship to decision quality. The results indicate that designing of alternatives is an important instrument to counter the challenges of complex strategic decision-problems.

However, one should not simply maximize the number of alternatives. There seems to be a very small optimal number beyond which decision quality will decrease. Besides, alternative designing has to be coordinated with other problem-solving activities, namely goal formation, process organization, and information searching.

Page 162: SG 1000 (draft version)

Choosing From 2+ Options Lead to Better Decisions (as opposed to Yes/No decisions)

Page 58 of “Decisive”

Page 163: SG 1000 (draft version)

Fashion“Be Seen”

Design Better

MarketBetter

Experience“To See Like …”

$64 billionGlobal Eyewear

Market

Potential

See Like an Expert - pattern recognitionor a Genius - Creativity

Market Size In $ *

Eyewear’s Purpose As …

AugmentingAuthored

Reality

* Not to Scale

Function“To See”

Blue OceanOpportunity

Function“To See”

Fashion“Be Seen”

Experience“To See Like …”

Private & Confidential

Project EYE

Google Glass“To See +”

An ExpertPattern recognition

A GeniusImagination w/Creativity

Page 164: SG 1000 (draft version)

Visual, + Spatial, + Kinesthetic

2D Visual + Spatial

Page 165: SG 1000 (draft version)

Visual, + Spatial, + Kinesthetic (movement)

https://www.youtube.com/watch?v=vhTMm85G9GE

https://www.youtube.com/watch?v=X0pFZG7j5cE

Page 166: SG 1000 (draft version)

Symbiotic Genius is the Future of Humanity

Solo Group Symbiotic Genius

Within 1 Human Between Humanse.g.

Watson & Crick

The FutureEvolution of Genius

BetweenHuman & Machine

HumanImagination

MachineIntelligence

Math with

Page 167: SG 1000 (draft version)

Relationships Between Correctness and Creativity

Similarities Correctness Creativity

SymbioticApproach

Human + Machine

Conceptual Platform

Univalent Foundations

Difference Correctness Creativity

Focus PropertiesConnections

(per Grothendieck)

Page 168: SG 1000 (draft version)

Symbiotic

Group

Solo

Human

Machine

Page 169: SG 1000 (draft version)

Big Ideas (Future) versus Big Data (Present)

Page 170: SG 1000 (draft version)

Why do Northeast Asians win so few Nobel Prizes?

Page 171: SG 1000 (draft version)

Receiving Princeton Mathematician JH Conway’s Advice

Page 172: SG 1000 (draft version)

Cultivating Creativity, which can be Learned (only 25%-40% inheritable)

http://hbswk.hbs.edu/item/6760.html

Six other creativity studies of identical twins confirm the Reznikoff et al. result: roughly 25 percent to 40 percent of what we do innovatively stems from genetics. … roughly two-thirds of our innovation skills still come through learning—from first understanding the skill, then practicing it, and ultimately gaining confidence in our capacity to create.

Testing twins aged fifteen to twenty-two, they found that only about 30 percent of the performance of identical twins on a battery of ten creativity tests could be attributed to genetics.

Page 173: SG 1000 (draft version)

Calculus of Ideas

Page 174: SG 1000 (draft version)

Mental Construct Reasoning

Mental ConstructThat

Satisfies Explicit Formal

Rules

MathematicalReasoning

IDEA

Mathematical Structure

Ideas are a Super-Set of Mathematical Structures

Page 175: SG 1000 (draft version)

AI xPrize: Human-Machine Collaboration Opportunity to Demonstrate SG 1000 Potential

a US$5 million competition, challenging teams globally,

to develop and demonstrate how humans can collaborate with

powerful AI technologies to tackle

the world’s grand challenges.

Page 176: SG 1000 (draft version)

TOC : SG 1000 - WIN (click on BLUE links for details)

Solution

SG1000

What?

How?

SG1000 Creativity Research Proposal21st Century Meta-Idea

SupportsSingapore’s Long-Term (1000 Years?) Survival

• The World’s ImagiNationSG WIN

• Increased Productivity• 3rd Digital Age w/Pervasive Prosperity

Next StepsMacArthur’s 100 & Change

GPT & Nobel Prize Supplemental Information

Growth Opportunity

ideas … the real scarce inputs the few who produce good ideas will

reap huge rewards

Page 177: SG 1000 (draft version)

SG 1000 can be the Next General Purpose Technology (akin to electrification and ICT)

Pervasive: used as inputs for many downstream sectors

Generalized Productivity

Gains

Inherent potential for technical improvements

Innovational complementarities: GPT innovation drives R&D productivity in downstream sectors

General Purpose Technologies “Engines of Growth” http://www.nber.org/papers/w4148

Page 178: SG 1000 (draft version)

(If) Mathematics Drives Creativity, Singapore and the World will Greatly Benefit

For Singapore21sr Century Meta-Idea

WINNobel Prize

For the World

Next Step in GeniusEconomic Growth

More & Better(explain)

Pervasive Prosperity

Page 179: SG 1000 (draft version)

Singapore Can Become The World’s ImagiNation* (WIN)

21st Century:World’s ImagiNation

* Natural Successor to “Smart Nation” TOC

Page 180: SG 1000 (draft version)

Solo GeniusConnections within One Mind

Albert Einstein … had an unusually well-connected brain. The new insight was gleaned from

a recently discovered set of 14 photographs of Einstein’s brain taken just after his autopsy.

Page 181: SG 1000 (draft version)

Group GeniusConnections Between Complementary Minds

James Watson Francis Crick

Page 182: SG 1000 (draft version)

TOC : SG 1000 - WIN (click on BLUE links for details)

Opportunity

SG1000

What?

How?

SG1000 Creativity Research Proposal21st Century Meta-Idea

SupportsSingapore’s Long-Term

(1000 Years) Survival

• The World’s ImagiNation(21st Century Meta-Idea)

• Increased Productivity• 3rd Digital Age w/Pervasive Prosperity

General Purpose TechnologyNobel Prize

Next Steps

Ideas Drive Economic Growth

ideas … the real scarce inputs the few who produce good ideas will

reap huge rewards

Supplemental Information

MacArthur Foundation’s “100 & Change”

Page 183: SG 1000 (draft version)

Making Code Physical Stanford University and Google Research Collaboration

https://research.googleblog.com/2016/06/project-bloks-making-code-physical-for.html

if children could use computers to express ideas, construct things, and create inventionshttps://projectbloks.withgoogle.com/static/Project_Bloks_position_paper_June_2016.p

df

Page 184: SG 1000 (draft version)

The Next: Economy Requirements

https://www.linkedin.com/pulse/technology-business-people-matter-tim-o-reilly

In the Next Economy: • creativity—not just efficiency—is the key to competitive advantage.• companies use technology not to replace workers but to augment them• new kinds of technology platforms become the infrastructure of

prosperity

Page 185: SG 1000 (draft version)

Horseless Carriage Approach toApplying VR at Work

While most VR applications thus far have been focused on video games and

simulations, Space is focused on the ultimate end point for VR:

"Space is a computer operating environment that could be the future of work”

Page 186: SG 1000 (draft version)

Shifting perspective is essential … to get innovation right

Shifting perspective should put you in a new

relationship to everything you thought you knew.

From this new perspective, you'll find it easier to

innovate successfully.

Viewing your world from a different angle requires getting out of your own way, questioning the

assumptions that likely have aided your success up to this point.

It is not an easy task, but it is a skill all leaders must master if they want to innovate and reach levels

beyond their current success.

Page 187: SG 1000 (draft version)

to get new perspectives… involve people from different disciplines

creating a space in which people

from diverse fields of expertise can get together

to exchange ideas.

Frans Johansson’s The Medici Effect shows how breakthrough ideas

most often occur when we bring concepts from one field

into a new, unfamiliar territory

Page 188: SG 1000 (draft version)
Page 189: SG 1000 (draft version)

US Department of Defense Funds Univalent Foundations To Reshape Mathematics

http://www.cmu.edu/news/stories/archives/2014/april/april28_awodeygrant.html

SG 1000: Complementary Research That Adds Ideas

+ Ideas

Page 190: SG 1000 (draft version)

Proposed US$25M 5-Year

(2016-2020)

“Symbiotic Genius” CreativityResearch Program

SG1000

Page 191: SG 1000 (draft version)

Singapore’s SG 1000 Creativity Research Moon-Shot Solves For “Greater Creativity”

The Need to Nurture Creativity for the World’s 7 Billion

Population

Cross-Disciplinary Solution: Neuroscience, CS,

Mathematics, Psychology, …

To Be Launched on 10th Dec 2015

https://www.solveforx.com/moonshots/new/

Page 192: SG 1000 (draft version)

Ada Lovelace Einstein Symbiotic Genius

1815 1915 2015

Ada Lovelace’s Birth

Einstein’sGeneral Relativity

SG 1000Launch

10 Dec

200th Birthday Anniversary

Page 193: SG 1000 (draft version)

1st Machine AgeAugment Muscle

1st Digital AgeProcess Information

2nd Digital AgeProvide Intelligence

3rd Digital AgeProvoke Ideas

ComplementHuman Intel

ReplaceHuman Intel

WidespreadJob Loss

Pocket Prosperity

Harness Symbiotic Genius**Human Imagination w/Machine Intel

Pervasive Prosperity

Present Future

OpposingFutures

Mass Flourishing

Symbiotic Genius Ignites 3rd Digital Age (of Ideas)

2nd Machine AgeAugment Mind

Page 194: SG 1000 (draft version)

Lovelace’s Vision versus Turing’s Vision

Ada LovelaceSG Pioneer

Symbiotic Genius Driven by

Human & Machine

Alan TuringAI Pioneer

SingularityDriven byMachine

Page 195: SG 1000 (draft version)

http://www.tau.ac.il/~corry/publications/articles/pdf/endeavour.pdf

Einstein: The Creative Principles Resides in Mathematics

Einstein’s June 1933 Herbert Spencer lecture at Oxford.

Page 196: SG 1000 (draft version)

Alexander Grothendieck: The Power of Ideas

Mathematical Work

is Built Upon Ideas

Page 197: SG 1000 (draft version)

Grothendieck: Pay Attention to the Connections (arrows)

Creativity Is

ConnectingIdeas

Page 198: SG 1000 (draft version)

Mark Lee

MIT S.M. ’99(Technology and Policy)

Page 199: SG 1000 (draft version)

Mark Lee With 2010 Fields Medalist Ngô

Jan 2015, SingaporeTOC

Page 200: SG 1000 (draft version)

1st Machine AgeAugment Muscle

Process Information Provide Intelligence

SupplementHuman Intel

ReplaceHuman Intel

WidespreadUnemployment

Pockets of Prosperity

Human Imagination w/Machine Intelligence

(Symbiotic Genius)

Pervasive Prosperity

SG: Human Imagination with Machine Intelligence→ Pervasive Prosperity

2nd Machine AgeAugment Mind Future: 2016 →

ContrastingFutures

Stimulate & GenerateIdeas

Augment Imagination