Turing's Little Spark Game
Chapter 1

The mirror of the mind

Chapter 2

The limits of the machine

Chapter 3

The leap to transputation

Chapter 4

The foundation of reality

Ch 2 · The limits of the machine
007skaty

007skaty Kurt Gödel and the fundamental limits of mathematics

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Gödel and the ultimate logical roadblock

007skaty Systems complex enough for basic arithmetic always contain true statements that cannot be proven, revealing the ultimate roadblock of pure logic.

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007skaty
Quiz

In what year did Kurt Gödel publish his famous Incompleteness Theorems?

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Quiz

What is the core takeaway of Gödel's Incompleteness Theorems?

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Fun Fact

Unsolvable math: Kurt Gödel was close friends with Albert Einstein, and the two walked together daily at Princeton discussing physics, logic, and the universe.

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Turing and the endless loop problem

007skaty The halting problem exposes the boundary between mechanical computation and conscious thought.

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Quiz

What abstract computational model did Alan Turing design to define the mathematical limits of all computers?

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Quiz

What is the name of the famous computer science problem that Alan Turing proved was unsolvable in 1936?

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Gossip

Would you trust a conscious AI with your secrets?

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Turing's Little Spark
BETA

007skaty Connect Turing's logic circuits to discover how simple rules spark conscious thought.

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007skaty
Quiz

What is the name of the physical limit in computing where processing speed is bottlenecked by data moving between memory and CPU?

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007skaty
Quiz

Why can sequential computers never hold a perfect, live model of their own entire state?

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007skaty Gödel's Incompleteness Theorem

Can't prove it all, can't prove it all, every system hits a wall.

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007skaty
Quiz

In 2025, which theorist published a formal proof arguing that sentience requires non-computational processing?

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Quiz

What is the term for a system that contains a complete, consistent, and non-lossy model of its own entire active state?

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