Math 2.0

Mathematical logic and foundations Philosophical questions and foundational programs Concept

Formalism

Summary

Formalism is the view that mathematics is about formal systems: strings of symbols and the rules that transform them. On this view, a theorem is a string derived from the axioms by the rules. It need not describe any abstract objects. David Hilbert is the name most linked with formalism, through Hilbert's program. It is one of the classical answers in the foundations of mathematics.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Formalism_(philosophy_of_mathematics)
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Changed2 November 2026

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