AlephZero and Mathematical Experience

Fuente: arXiv
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Bibliographic Details
Main Author: DeDeo, Simon
Format: Preprint
Published: 2023
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author DeDeo, Simon
author_facet DeDeo, Simon
contents This essay explores the impact of automated proof construction on three key areas of mathematical cognition: on how we judge the role one piece of mathematics plays in another, on how we make mistakes in reasoning about mathematical objects, and on how we understand what our theorems are truly about. It concludes by speculating on a new form of mathematical experience that these methods could make possible: ``glitching'', a game-like search for uncanny consequences of our definitions.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05599
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle AlephZero and Mathematical Experience
DeDeo, Simon
History and Overview
This essay explores the impact of automated proof construction on three key areas of mathematical cognition: on how we judge the role one piece of mathematics plays in another, on how we make mistakes in reasoning about mathematical objects, and on how we understand what our theorems are truly about. It concludes by speculating on a new form of mathematical experience that these methods could make possible: ``glitching'', a game-like search for uncanny consequences of our definitions.
title AlephZero and Mathematical Experience
topic History and Overview
url https://arxiv.org/abs/2307.05599