This volume presents Wittgenstein's views on mathematics, which he
progressively elaborated during a lifetime's reflections on the
subject. Divided into three parts, it corresponds to the three
distinct phases in the development of Wittgenstein's philosophy of
mathematics. The first part is devoted to the "Tractatus" and
contains a systematic construction of the representation of
arithmetic in logical operations. The second part is concerned with
the so-called "intermediate phase" (1929-33), which is
characterized by strong verification and by a conception of the
relation between the particular and the general in mathematics
which forms the basis of Wittgenstein's later reflections on
rule-following. The final section deals with the writings on
mathematics in the decade 1934-44. The main themes of
Wittgenstein's later philosophy of mathematics are understood as
consequences of his considerations of rule-following.
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