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date: 30 July 2021

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.

Keywords: analytic movements, empiricism, radical empiricism, logical empiricism, logical positivism, Mill

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