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Mathematics > History and Overview

arXiv:2603.26524 (math)
[Submitted on 27 Mar 2026]

Title:Mathematical methods and human thought in the age of AI

Authors:Tanya Klowden, Terence Tao
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in the age of AI, by Tanya Klowden and 1 other authors
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    Abstract:Artificial intelligence (AI) is the name popularly given
    to a broad spectrum of computer tools designed to perform
    increasingly complex cognitive tasks, including many that used to
    solely be the province of humans. As these tools become
    exponentially sophisticated and pervasive, the justifications for
    their rapid development and integration into society are
    frequently called into question, particularly as they consume
    finite resources and pose existential risks to the livelihoods of
    those skilled individuals they appear to replace.
    In this paper, we consider the rapidly evolving impact of AI to
    the traditional questions of philosophy
    with an emphasis on its application in mathematics and on the
    broader real-world outcomes of its more general use. We assert
    that artificial intelligence is a natural evolution of human
    tools developed throughout history to facilitate the creation,
    organization, and dissemination of ideas, and argue that it is
    paramount that the development and application of AI remain
    fundamentally human-centered. With an eye toward innovating
    solutions to meet human needs, enhancing the human quality of
    life and expanding the capacity for human thought and
    understanding, we propose a pathway to integrating AI into our
    most challenging and intellectually rigorous fields to the
    benefit of all humankind.

          27 pages. This is an unabridged version of an article
Comments: solicited for the Blackwell Companion to the Philosophy of
          Mathematics
Subjects: History and Overview (math.HO)
MSC       01A67
classes:
Cite as:  arXiv:2603.26524 [math.HO]
          (or arXiv:2603.26524v1 [math.HO] for this version)
          https://doi.org/10.48550/arXiv.2603.26524
          Focus to learn more
          arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Terence C. Tao [view email]
[v1] Fri, 27 Mar 2026 15:38:05 UTC (43 KB)
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