2min chapter

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#96 Prof. PEDRO DOMINGOS - There are no infinities, utility functions, neurosymbolic

Machine Learning Street Talk (MLST)

CHAPTER

Is There a Meaningful Difference Between Propositional Logic and First Order Logic?

As far as anything that you're going to run on the computer, there truly is no distinction at this theoretical level between a Turing machine and a finite automata. But for many purposes, I am better off having an RNN than having, you know, a transformer. So if there's no such thing as infinity, first order logic is reducible to propositional logic,. That does not mean that it's useless because it can represent a lot of things exponentially more compactly than proposition logic. In fact, mathematically, infinity is not a number. Infinity is just a shorthand for something so large that it doesn't matter how large it is.

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