The Synthetic a Priori
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Logically atomic sentences and the philosophy of logical atomism
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This raises the question – are there sentences that are the ultimately logically atomic sentences? Could we decompose every sentence by some logical process so as to eventually be led down to logically simplest atomic sentences? Bertrand Russell thought this was possible, and he argued in The Philosophy of Logical Atomism that all sentences could be decomposed into their logically atomic constituents. For our purposes it will suffice merely to be aware that sentences can be decomposed into grammatically atomic sentences.
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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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