Tradition

Finitism

Overview

Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as existing.

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

Philosophers who discussed Finitism

• Gottlob Frege

Related ideas

• Finite set
• Georg Cantor
• Infinite set
• Zermelo–Fraenkel set theory
• Kurt Gödel
• L. E. J. Brouwer
• Ludwig Wittgenstein
• Transfinite number
• Mathematical object
• Natural number
• Peano axioms
• Set theory
• Aristotle
• Completeness (logic)
• Actual and potential infinity
• Quantifier (logic)
• Russell's paradox
• Philosophy of mathematics
• Naive set theory
• Hilbert's program
• Cardinal number
• Consistency
• David Hilbert
• Harvey Friedman (mathematician)

Place in the tradition

Part of Analytic philosophy.

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