5min chapter

COMPLEXITY cover image

David Wolpert & Farita Tasnim on The Thermodynamics of Communication

COMPLEXITY

CHAPTER

The Language of Mathematics Is a Finite Set of Strings of Symbols

All language, including mathematics, is a finite set of finite length strings of symbols. Many people revel in the fact that we can use these to construct mathematics and arguably even artistic constructions which have abilities like self-reference. I react against it to that same fact that everything is finite strings of finite symbol sets very, very differently at how astonishingly narrow it is. If A is true, if it's also true that A implies B, then B follows, modus ponens. That is assumed to be the case in mathematics, 100% probability always and every time that the laws of math have no randomness in them,. but well, just perhaps they actually do.

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