Work
The Foundations of Arithmetic
Overview
The Foundations of Arithmetic (German: Die Grundlagen der Arithmetik) is a book by Gottlob Frege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist and materialist theories of number and develops his own platonist theory of numbers. The Grundlagen also helped to motivate Frege's later works in logicism.
The book was also seminal in the philosophy of language. Michael Dummett traces the linguistic turn to Frege's Grundlagen and his context principle.
The book was not well received and was not read widely when it was published. It did, however, draw the attentions of Bertrand Russell and Ludwig Wittgenstein, who were both heavily influenced by Frege's philosophy. An English translation was published (Oxford, 1950) by J. L. Austin, with a second edition in 1960.
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Philosophers who discussed The Foundations of Arithmetic
Related ideas
- Empiricism
- Philosophy
- Immanuel Kant
- Idealism
- John Stuart Mill
- Analytic philosophy
- Julius Caesar
- Truth value
- Foundations of mathematics
- Ludwig Wittgenstein
- Linguistic turn
- Materialism
- Anti-psychologism
- Number
- Ontology
- Linguistics
- J. L. Austin
- Principia Mathematica
- Psychologism
- Set theory
- Michael Dummett
- Arithmetic
- Hume's principle
- Parallel postulate
Place in the tradition
Part of Analytic philosophy.
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