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Volume IV contains materials from 1941 to 1943, including one previously unpublished manuscript and three manuscripts from which selections were made for the previous abridgment.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.

Ludwig Wittgenstein (1889–1951) was one of the most influential philosophers of the twentieth century. He was born in Vienna, but studied and practiced philosophy in Great Britain. He was a professor of philosophy at the University of Cambridge from 1939 until 1947. He worked in—and transformed—the fields of logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. Victor Rodych is professor of philosophy at the University of Lethbridge. He is coauthor of Introduction to Logic, 15th Edition. Yvonne Lampert is head of philosophy at the Ministry of Schools and Vocational Education in Hamburg. Harry Tomany holds a PhD in philosophy from the University of Reading.