The Second Machine Turn: From Checking Proofs to Creating Concepts
- URL: http://arxiv.org/abs/2507.10179v2
- Date: Fri, 01 Aug 2025 16:59:10 GMT
- Title: The Second Machine Turn: From Checking Proofs to Creating Concepts
- Authors: Asvin G,
- Abstract summary: We discuss the current state of the art, obstacles and potential solutions as well as a preliminary attempt at mathematizing the creation of concepts itself.<n>The paper ends with an assessment of how these capabilities could reshape mathematics and human-machine collaboration.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We identify a second machine turn in the process of mathematical discovery: after automating proof-checking, AI is now poised to automate the *creation* of mathematical concepts themselves. We discuss the current state of the art, obstacles and potential solutions as well as a preliminary attempt at mathematizing the creation of concepts itself. The paper ends with an assessment of how these capabilities could reshape mathematics and human-machine collaboration, and a few different futures we might find ourselves in.
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