Remove Accessibility Remove Algebra Remove Equality Remove Natural Sciences
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

But beginning a little more than a century ago there emerged the idea that one could build mathematics purely from formal axioms, without necessarily any reference to what is accessible to sensory experience. and at t steps gives a total number of rules equal to: &#10005. So how about logic, or, more specifically Boolean algebra ?

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How Inevitable Is the Concept of Numbers?

Stephen Wolfram

No doubt there’ll at least be some “natural-science-like” characterizations of what’s going on. The same is true of axioms for areas of abstract algebra like group theory—as well as basic Euclidean geometry (at least for integers). Will there still be “human-level descriptions” that involve numbers?