4. Gödel 1 st Incompleteness Theorem
• Ultimate Theorem
• Why everything evolves
• Why Everything is
subject to change
• Why things gets more
complex over time
5. Gödel 1 st Incompleteness Theorem
Any … theory (*) cannot
be both consistent
and!complete. For
any!consistent… formal
theory (*), there is an …
statement that is true,!but
not provable in the theory
7. Gödel 1 st Incompleteness Theorem
Nobody CAN BE TOLD WHAT THE MATRIX IS…
8. SMALL BROTHER: Turing Halting Problem
Given a description of a
computer program, its
impossible to write a
program to decide whether
the program finishes
running or continues to run
forever
9. Sketch Proof
Let say Halt(software,data) exits. Returns True or
False
What about G(s) = If Halt(s, s) then LoopForever
else Stop
Think what happens if you try to compute
G(G).
• If Halt(G,G) halts then it loops.
• If Halt(G,G) say it loops it will halt.
10. Cantor
Diagonal Proof
Related
Proof related to Subcase
Recursion
Proof based on
12. You Can Not Formalize The
• Anything known K: always can build recursion G(K)
that is “bigger”
• A^n + b^n != c^n : halt or not?
• You never know enough (bad)
• There is always room to know/invent more (good)
15. Marketplace:
Sets of Formal Rules
1. Put software in the cardboard box
2. Bundle browser with OS
3. Cut oxygen supply to competitors
4. …
1923. Profits!
17. New G
• Put software in the box • Create search engine
• … • Sell all words for bids
• Profits! • Profits!
18. There is always another G
• Put software in the box • Create friends graph
• Sell words for bids • …
• Profits! • Profits!
• Put game in the box • Give away free game
• … • Ask for money
• Profits! • Profits!
19. Gödel Statements
• Profitable yet un-provable by old rules
• Include G New Theory New G’s
• Infinite number of G’s
• No formal discovery system
20. Startups
• Success: find at least one G
• Compete in old system: #epicFail
• Many fails: no sure way to a new G
• Quick experiments, fast pivots
38. M&A Aspects
• x100 vs x4
• Mature: teams (cheap) or rev stream
• Startups: G search
• Big: profitable ops
39. Summary
• Startup jumps on G-events
• Big wins: sequential G.
• Can’t discover by method
• Impact & time : scale free graph
• M&A: Decide between G and g+1
41. Must Read
• Fooled by Randomness, Black Swan, • Tipping Point
• On Intelligence, Incompletness • The Blind Watchmaker
• Guns, Germs & Steel, Collapse • The God Dellusion
• The Red Queen • Genome
• Poor Charlie Almanac Ubiquity • Elegant Universe
• Evolution of Cooperation • The Trouble with Physics
• Nexus • The Road to Reality
• Social Atom • Freakonomics
• The Wisdom of the Crowds
43. Myths
• Russian Engineers are best in the world?
– Not anymore
• Russian entrepreneurs are most tenacious?
– Good luck flogging dead horses for years
• Russian entrepreneurs are most scrappy?
– If scrappy long enough to notice its not working
– If G exploding and you are scrappy you are an idiot
44. Default Rule
When in doubt, use rule #1:
If its feels natural its probably
wrong
