math and human behavior pre-may seminar march 7, 2011
TRANSCRIPT
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Math and Human Math and Human BehaviorBehavior
Pre-May SeminarPre-May Seminar
March 7, 2011March 7, 2011
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Axioms of Human BehaviorAxioms of Human Behavior
All are created equalAll are created equal
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Axioms of Human BehaviorAxioms of Human Behavior
All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from
sensessenses
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Axioms of Human BehaviorAxioms of Human Behavior
All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from
sensessenses Behavior determined by enjoyment Behavior determined by enjoyment
of pleasure, avoidance of painof pleasure, avoidance of pain
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Axioms of Human BehaviorAxioms of Human Behavior
All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from
sensessenses Behavior determined by enjoyment Behavior determined by enjoyment
of pleasure, avoidance of painof pleasure, avoidance of pain Human nature shaped by culture & Human nature shaped by culture &
environmentenvironment
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Axioms of Human BehaviorAxioms of Human Behavior
All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from
sensessenses Behavior determined by enjoyment Behavior determined by enjoyment
of pleasure, avoidance of painof pleasure, avoidance of pain Human nature shaped by culture & Human nature shaped by culture &
environmentenvironment All act according to self interestAll act according to self interest
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
Luckless in Luckless in romanceromance
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
Luckless in Luckless in romanceromance
Anti church/state Anti church/state alliancealliance
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
Luckless in Luckless in romanceromance
Anti church/state Anti church/state alliancealliance
Anti monarchyAnti monarchy
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
Luckless in Luckless in romanceromance
Anti church/state Anti church/state alliancealliance
Anti monarchyAnti monarchy Anti packed juriesAnti packed juries
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying A “codifying animal”animal”
Luckless in Luckless in romanceromance
Anti church/state Anti church/state alliancealliance
Anti monarchyAnti monarchy Anti packed juriesAnti packed juries
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)
A “codifying animal”A “codifying animal” Luckless in romanceLuckless in romance Anti church/state Anti church/state
alliancealliance Anti monarchyAnti monarchy Anti packed juriesAnti packed juries Maximize pleasure, Maximize pleasure,
minimize painminimize pain
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Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832) Moral CalculusMoral Calculus Cost-Benefit AnalysisCost-Benefit Analysis Democracy and Universal SuffrageDemocracy and Universal Suffrage UtilitarianismUtilitarianism
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John Locke (1632-1704)John Locke (1632-1704) Tabula RasaTabula Rasa RightsRights Social ContractSocial Contract Limited Limited
GovernmentGovernment
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Declaration of Declaration of IndependenceIndependence
When in the Course of human events, it When in the Course of human events, it becomes necessary for one people to becomes necessary for one people to dissolve the political bands which have dissolve the political bands which have connected them with another, and to connected them with another, and to assume among the powers of the earth, the assume among the powers of the earth, the separate and equal station to which the separate and equal station to which the Laws of Nature and of Nature's God entitle Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of them, a decent respect to the opinions of mankind requires that they should declare mankind requires that they should declare the causes which impel them to the the causes which impel them to the separation.separation.
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Declaration of Declaration of IndependenceIndependence
We hold these truths to be self-evident, that all We hold these truths to be self-evident, that all men are created equal, that they are endowed men are created equal, that they are endowed by their Creator with certain unalienable rights,by their Creator with certain unalienable rights,
that among these are Life, Liberty and the that among these are Life, Liberty and the pursuit of Happiness. That to secure these pursuit of Happiness. That to secure these rights, Governments are instituted among Men, rights, Governments are instituted among Men, deriving their just powers from the consent of deriving their just powers from the consent of the governed, That whenever any Form of the governed, That whenever any Form of Government becomes destructive of these ends, Government becomes destructive of these ends, it is the right of the people to alter or abolish it, it is the right of the people to alter or abolish it, and to institute new Government.and to institute new Government.
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Thomas Malthus (1766-Thomas Malthus (1766-1834)1834)
Rates of Growth:Rates of Growth:
Population vs. ProductionPopulation vs. Production
Geometric vs. ArithmeticGeometric vs. Arithmetic
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David Ricardo (1772-1823)David Ricardo (1772-1823)
Supply and DemandSupply and Demand
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Raymond Pearl (1879-1940)Raymond Pearl (1879-1940)and Lowell Reed (1886-and Lowell Reed (1886-
1966)1966)
RediscoverRediscovery of y of Logistic Logistic GrowthGrowth
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John Graunt (1620-1674) John Graunt (1620-1674) and William Petty (1623-and William Petty (1623-
1687)1687)
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Lambert Adolphe Jacques Lambert Adolphe Jacques Quetelet (1796 –1874) Quetelet (1796 –1874)
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Vilfredo Pareto (1848-1923)Vilfredo Pareto (1848-1923)
Pareto PrinciplePareto Principle Power LawsPower Laws
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Vilfredo Pareto (1848-1923)Vilfredo Pareto (1848-1923)
Pareto PrinciplePareto Principle Power LawsPower LawsDistribution of World GDP, 1989Distribution of World GDP, 1989
Quintile of population Income
Richest 20% 82.70%
Second 20% 11.75%
Third 20% 2.30%
Fourth 20% 1.85%
Poorest 20% 1.40%
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Francis Galton (1822-1911)Francis Galton (1822-1911)