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The second of five planned volumes, this book collects Wittgenstein’s unabridged writings on mathematics and logic composed between 1939 and 1941.

In 1956, a significant but abridged portion of Ludwig Wittgenstein’s 1937–1944 writings for a continuation of what became Philosophical Investigations was published as Remarks on the Foundations of Mathematics. Now, in these five German-English facing-page volumes, the writings of Remarks on Mathematics and Logic are presented in full as Wittgenstein wrote them: in chronological order, without editorial omissions, selections, or rearrangements.

Volume III contains materials from 1939 to 1941, including previously unpublished—one manuscript and four manuscript parts—and one manuscript from which selections were made for previous abridgements. 

The topics covered in this volume include surveyability and perspicuity in mathematics; Cantor and Gödel; Russellian logicism; geometrical cogency of proofs; consensus as part of the phenomenon of our calculating; rule-following and unwinding; consistency proofs; calculation as invention rather than discovery; superstitious fear of contradictions; why mathematicians cannot philosophize about mathematics; mathematical propositions are overdetermined; the idea of a mathematical reality; the connection between the sense of a mathematical proposition and its use; positioning a proposition in a system; an unproved mathematical proposition as the expression of a problem; the role of mathematical propositions in descriptions (of reality).

This edition will be the authoritative source for Wittgenstein’s writings in their original context.

The first of five planned volumes, this book collects Wittgenstein’s unabridged writings on mathematics and logic composed between 1941 and 1943.

In 1956, a significant but abridged portion of Ludwig Wittgenstein’s 1937–1944 writings for a continuation of what became Philosophical Investigations was published as Remarks on the Foundations of Mathematics. Now, in the five German-English facing pages volumes of Remarks on Mathematics and Logic, these writings are presented in full as Wittgenstein wrote them: in chronological order, without editorial omissions, selections, or rearrangements.

Volume IV contains materials from 1941 to 1943, including one previously unpublished manuscript and three manuscripts from which selections were made for the previous abridgment. The topics covered in this volume include the philosophy of mathematics, mathematical foundationalism, surveyability in mathematics, language-games and proof-networks, Gödelian undecidability, pictures in mathematics, Cantorian diagonal proofs, applied mathematics without pure mathematics, and mathematics and chess, among others.

This German-English facing pages edition presents Wittgenstein’s writings in their original context—as Wittgenstein wrote them, in chronological order, and without editorial omissions, selections, or rearrangements.

In 1931 Ludwig Wittgenstein wrote his famous Remarks on Frazer’s “Golden Bough,” published posthumously in 1967. At that time, anthropology and philosophy were in close contact—continental thinkers drew heavily on anthropology’s theoretical terms, like mana, taboo, and potlatch, in order to help them explore the limits of human belief and imagination. Now the book receives its first translation by an anthropologist, in the hope that it can kick-start a new era of interdisciplinary fertilization.

Wittgenstein’s remarks on ritual, magic, religion, belief, ceremony, and Frazer’s own logical presuppositions are as lucid and thought-provoking now as they were in Wittgenstein’s day. Anthropologists find themselves asking many of the same questions as Wittgenstein—and in a reflection of that, this volume is fleshed out with a series of engagements with Wittgenstein’s ideas by some of the world’s leading anthropologists, including Veena Das, David Graeber, Wendy James, Heonik Kwon, Michael Lambek, Michael Puett, and Carlo Severi.