The Synthetic a Priori
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Empiricist philosophies of mathematics - the empiricism of J.S. Mill
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In Kantian terms this is the view that mathematics is synthetic a posteriori. This is the view that mathematical truths are hypotheses, laws and generalizations of science. Diagrammatically, this is equivalent to the following ... The blank space would be filled by other dictionary definitions and statements such as "a bachelor is an unmarried man". This philosophy was advocated by J. S. Mill, but is not generally popular among philosophers currently.
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Contents of
The Synthetic a Priori
1 Empiricism, Platonism, Innate Ideas and the A Priori
2 Analytic a priori
3 Kant and the synthetic a priori
4 Compound (molecular) and atomic sentences
5 Logically atomic sentences and the philosophy of logical atomism
6 Complex sentences and attitudes
7 Subject and predicate, individual and property
8 Synthetic and analytic, definitions offered by Kant
9 A priori and a posteriori
10 The synthetic a priori in Kant - the Critique of Pure Reason
11 Kant, The Critique of Pure Reason, the self and transcendental apperception
12 Empiricist philosophies of mathematics - conventionalism (formalism)
13 Empiricist philosophies of mathematics - the empiricism of J.S. Mill
14 Hybrid empiricist philosophies of mathematics
15 Empiricist philosophies of mathematics - Wittgenstein and non-cognitivism
16 A.J. Ayer and conventionalism - his reply to Kant
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