Remove Algebra Remove Equality Remove Math Remove Natural Sciences
article thumbnail

The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

How Math Relates to Humans. And if we’re going to make a “general theory of mathematics” a first step is to do something like we’d typically do in natural science, and try to “drill down” to find a uniform underlying model—or at least representation—for all of them. So how about logic, or, more specifically Boolean algebra ?

article thumbnail

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? But there is a subtlety here.