- Series Information
- The Oxford Handbook of Philosophy of Mathematics and Logic
- Notes on the Contributors
- Philosophy of Mathematics and Its Logic: Introduction
- A Priority and Application: Philosophy of Mathematics in the Modern Period
- Later Empiricism and Logical Positivism
- Wittgenstein on Philosophy of Logic and Mathematics
- The Logicism of Frege, Dedekind, and Russell
- Logicism in the Twenty‐first Century
- Logicism Reconsidered
- Intuitionism and Philosophy
- Intuitionism in Mathematics
- Intuitionism Reconsidered
- Quine and the Web of Belief
- Three Forms of Naturalism
- Naturalism Reconsidered
- Nominalism Reconsidered
- Structuralism Reconsidered
- Mathematics—Application and Applicability
- Logical Consequence, Proof Theory, and Model Theory
- Logical Consequence From a Constructivist View
- Relevance in Reasoning
- No Requirement of Relevance
- Higher‐order Logic
- Higher‐order Logic Reconsidered
Abstract and Keywords
The empiricist approaches to mathematics discussed in this article belong to an era of philosophy which we can begin to see as a whole. It stretches from Kant's Critiques of the 1780s to the twentieth-century analytic movements which ended, broadly speaking, in the 1950s—in and largely as a result of the work of Quine. Seeing this period historically is by no means saying that its ideas are dead; it just helps in understanding the ideas. That applies to the two versions of empiricism that were most prominent in this late modern period: the radical empiricism of Mill and the “logical” empiricism associated with the Vienna Circle positivism of the late 1920s and early 1930s. Mill and the logical positivists shared the empiricist doctrine that no informative proposition is a priori.
John Skorupski is Professor of Moral Philosophy at the University of St Andrews. Among his publications are John Stuart Mill (1989), English‐Language Philosophy, 1750–1945 (1993), and Ethical Explorations (1999).
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