chaos, fractal structures, and unknown boundaries

Chaos, Fractal Structures, and

Unknown Boundaries

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matt.might.net/articles/phd-school-in-pictures/

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You have a lot to learn!

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You don’t know what you don’t know

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Viable Systems

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Context derives meaning

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Each viable system is recurrent in nature, so it has a fractal structure

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Observations of viable systems

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It is not necessary to enter the black box to understand the nature of the function it performs.

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It is not necessary to enter the black box to calculate the variety that it potentially may generate

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In a recursive organizational structure any viable system contains, and is contained in, a viable system

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An example…

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V=IR

class DBC def self.hello puts "Hello DBC!" endend

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class DBC def self.hello puts "Hello DBC!" endend

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#include <ruby/ruby.h>

VALUE hello(VALUE self){ printf("Hello DBC!\n");}

void Init_hello(void){ VALUE klass = rb_define_class("DBC", rb_cObject); rb_define_singleton_method(klass, "hello", hello, 0);}

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#include <stdio.h>

int main(void){ printf("Hello DBC!\n"); return 0;}

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(gdb) disas mainDump of assembler code for function main:0x0000000100000ef0 <main+0>: push %rbp0x0000000100000ef1 <main+1>: mov %rsp,%rbp0x0000000100000ef4 <main+4>: sub $0x10,%rsp0x0000000100000ef8 <main+8>: lea 0x51(%rip),%rax 0x0000000100000eff <main+15>: mov %rax,%rdi0x0000000100000f02 <main+18>: callq 0x100000f24 <dyld_stub_puts>0x0000000100000f07 <main+23>: movl $0x0,-0x8(%rbp)0x0000000100000f0e <main+30>: mov -0x8(%rbp),%eax0x0000000100000f11 <main+33>: mov %eax,-0x4(%rbp)0x0000000100000f14 <main+36>: mov -0x4(%rbp),%eax0x0000000100000f17 <main+39>: add $0x10,%rsp0x0000000100000f1b <main+43>: pop %rbp0x0000000100000f1c <main+44>: retq

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$ xxd hello0000100: 5f5f 7374 7562 7300 0000 0000 0000 0000 __stubs.........00001a0: 5f5f 6373 7472 696e 6700 0000 0000 0000 __cstring.......00001f0: 5f5f 756e 7769 6e64 5f69 6e66 6f00 0000 __unwind_info...0000500: 0c00 0000 2f75 7372 2f6c 6962 2f64 796c ..../usr/lib/dyl0000580: 2f75 7372 2f6c 6962 2f6c 6962 5379 7374 /usr/lib/libSyst0000590: 656d 2e42 2e64 796c 6962 0000 0000 0000 em.B.dylib......0002000: 1122 0055 4252 0000 1140 6479 6c64 5f73 .".UBR...@dyld_s0002010: 7475 625f 6269 6e64 6572 0051 7228 9000 tub_binder.Qr(..0002020: 7238 1140 5f65 7869 7400 9000 7240 1140 r8.@_exit...r@.@0002030: 5f70 7574 7300 9000 0002 5f00 0c73 7461 _puts....._..sta0002040: 7274 004b 0004 5f00 276d 6169 6e00 504e rt.K.._.'main.PN0002050: 5841 7267 0055 656e 7669 726f 6e00 6700 XArg.Uenviron.g.0002060: 026d 685f 6578 6563 7574 655f 6865 6164 .mh_execute_head0002070: 6572 0047 5f70 726f 676e 616d 6500 6c02 er.G_progname.l.0002250: 2000 2f55 7365 7273 2f61 6172 6f6e 6265 ./Users/aaronbe0002260: 6472 612f 4465 736b 746f 702f 2f00 6865 dra/Desktop//.he0002270: 6c6c 6f2e 6300 2f76 6172 2f66 6f6c 6465 llo.c./var/folde0002280: 7273 2f70 382f 3363 6671 3768 6678 3779 rs/p8/3cfq7hfx7y0002290: 355f 3977 7134 6c66 366c 7936 746d 3030 5_9wq4lf6ly6tm0000022a0: 3030 6770 2f54 2f2f 6363 4f7a 6574 5777 00gp/T//ccOzetWw00022b0: 2e6f 005f 6d61 696e 002f 5573 6572 732f .o._main./Users/00022c0: 6161 726f 6e62 6564 7261 2f44 6573 6b74 aaronbedra/Deskt00022d0: 6f70 2f68 656c 6c6f 2e63 005f 7076 6172 op/hello.c._pvar00022e0: 7300 5f4e 5841 7267 6300 5f4e 5841 7267 s._NXArgc._NXArg00022f0: 7600 5f5f 5f70 726f 676e 616d 6500 5f5f v.___progname.__0002300: 6d68 5f65 7865 6375 7465 5f68 6561 6465 mh_execute_heade0002310: 7200 5f65 6e76 6972 6f6e 005f 6d61 696e r._environ._main0002320: 0073 7461 7274 005f 6578 6974 005f 7075 .start._exit._pu0002330: 7473 0064 796c 645f 7374 7562 5f62 696e ts.dyld_stub_bin0002340: 6465 7200 0000 0000 der.....

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$ xxd -b hello0002250: 00100000 00000000 00101111 01010101 01110011 01100101 ./Use0002256: 01110010 01110011 00101111 01100001 01100001 01110010 rs/aar000225c: 01101111 01101110 01100010 01100101 01100100 01110010 onbedr0002262: 01100001 00101111 01000100 01100101 01110011 01101011 a/Desk0002268: 01110100 01101111 01110000 00101111 00101111 00000000 top//.000226e: 01101000 01100101 01101100 01101100 01101111 00101110 hello.0002274: 01100011 00000000 00101111 01110110 01100001 01110010 c./var000227a: 00101111 01100110 01101111 01101100 01100100 01100101 /folde0002280: 01110010 01110011 00101111 01110000 00111000 00101111 rs/p8/0002286: 00110011 01100011 01100110 01110001 00110111 01101000 3cfq7h000228c: 01100110 01111000 00110111 01111001 00110101 01011111 fx7y5_0002292: 00111001 01110111 01110001 00110100 01101100 01100110 9wq4lf0002298: 00110110 01101100 01111001 00110110 01110100 01101101 6ly6tm000229e: 00110000 00110000 00110000 00110000 01100111 01110000 0000gp00022a4: 00101111 01010100 00101111 00101111 01100011 01100011 /T//cc00022aa: 01001111 01111010 01100101 01110100 01010111 01110111 OzetWw00022b0: 00101110 01101111 00000000 01011111 01101101 01100001 .o._ma00022b6: 01101001 01101110 00000000 00101111 01010101 01110011 in./Us00022bc: 01100101 01110010 01110011 00101111 01100001 01100001 ers/aa00022c2: 01110010 01101111 01101110 01100010 01100101 01100100 ronbed00022c8: 01110010 01100001 00101111 01000100 01100101 01110011 ra/Des00022ce: 01101011 01110100 01101111 01110000 00101111 01101000 ktop/h00022d4: 01100101 01101100 01101100 01101111 00101110 01100011 ello.c00022da: 00000000 01011111 01110000 01110110 01100001 01110010 ._pvar00022e0: 01110011 00000000 01011111 01001110 01011000 01000001 s._NXA00022e6: 01110010 01100111 01100011 00000000 01011111 01001110 rgc._N00022ec: 01011000 01000001 01110010 01100111 01110110 00000000 XArgv.00022fe: 01011111 01011111 01101101 01101000 01011111 01100101 __mh_e0002304: 01111000 01100101 01100011 01110101 01110100 01100101 xecute000230a: 01011111 01101000 01100101 01100001 01100100 01100101 _heade0002310: 01110010 00000000 01011111 01100101 01101110 01110110 r._env0002316: 01101001 01110010 01101111 01101110 00000000 01011111 iron._000231c: 01101101 01100001 01101001 01101110 00000000 01110011 main.s0002322: 01110100 01100001 01110010 01110100 00000000 01011111 tart._0002328: 01100101 01111000 01101001 01110100 00000000 01011111 exit._000232e: 01110000 01110101 01110100 01110011 00000000 01100100 puts.d0002334: 01111001 01101100 01100100 01011111 01110011 01110100 yld_st000233a: 01110101 01100010 01011111 01100010 01101001 01101110 ub_bin0002340: 01100100 01100101 01110010 00000000 00000000 00000000 der...

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V=IRThursday, July 25, 13

“If you wish to make an apple pie from scratch, you must first invent the universe.”

-- Carl Sagan

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class DBC def self.hello puts "Hello DBC!" endend

V=IR

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And that was just one small sliver of reality

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So choose your path(s)

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And understand that you can’t possibly learn

everything

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But remember that there’s nothing you

can’t do

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And there’s no such thing as magic

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