138 books match the query 'Logic' and 5 start with r

cover of Ramus, Method, and the Decay of Dialogue: From the Art of Discourse to the Art of Reason

Ramus, Method, and the Decay of Dialogue

From the Art of Discourse to the Art of Reason

Walter J. Ong, S.J.

University of Chicago Press, 2004

Renaissance logician, philosopher, humanist, and teacher, Peter Ramus (1515-72) is best known for his attack on Aristotelian logic, his radical pedagogical theories, and his new interpretation for the canon of rhetoric. His work, published in Latin and translated into many languages, has influenced the study of Renaissance literature, rhetoric, education, logic, and—more recently—media studies.

Considered the most important work of Walter Ong's career, Ramus, Method, and the Decay of Dialogue is an elegant review of the history of Ramist scholarship and Ramus's quarrels with Aristotle. A key influence on Marshall McLuhan, with whom Ong enjoys the status of honorary guru among technophiles, this challenging study remains the most detailed account of Ramus's method ever published. Out of print for more than a decade, this book—with a new foreword by Adrian Johns—is a canonical text for enthusiasts of media, Renaissance literature, and intellectual history.
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cover of Remarks on Mathematics and Logic: Volume III, 1939–1941

Remarks on Mathematics and Logic

Volume III, 1939–1941

Ludwig Wittgenstein

University of Chicago Press, 0

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Volume III contains materials from 1939 to 1941, including previously unpublished—one manuscript and four manuscript parts—and one manuscript from which selections were made for previous abridgements.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

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cover of Remarks on Mathematics and Logic: Volume IV, 1941–1943

Remarks on Mathematics and Logic

Volume IV, 1941–1943

Ludwig Wittgenstein

University of Chicago Press, 0

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.
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cover of Rubens in Repeat: The Logic of the Copy in Colonial Latin America

Rubens in Repeat

The Logic of the Copy in Colonial Latin America

Aaron M. Hyman

J. Paul Getty Trust, The, 2021

Winner of the Latin American Studies Association's 2022 Best Book in Colonial Latin American Studies.

This book examines the reception in Latin America of prints designed by the Flemish artist Peter Paul Rubens, showing how colonial artists used such designs to create all manner of artworks and, in the process, forged new frameworks for artistic creativity.

Peter Paul Rubens (1577–1640) never crossed the Atlantic himself, but his impact in colonial Latin America was profound. Prints made after the Flemish artist’s designs were routinely sent from Europe to the Spanish Americas, where artists used them to make all manner of objects.

Rubens in Repeat is the first comprehensive study of this transatlantic phenomenon, despite broad recognition that it was one of the most important forces to shape the artistic landscapes of the region. Copying, particularly in colonial contexts, has traditionally held negative implications that have discouraged its serious exploration. Yet analyzing the interpretation of printed sources and recontextualizing the resulting works within period discourse and their original spaces of display allow a new critical reassessment of this broad category of art produced in colonial Latin America—art that has all too easily been dismissed as derivative and thus unworthy of sustained interest and investigation. This book takes a new approach to the paradigms of artistic authorship that emerged alongside these complex creative responses, focusing on the viceroyalties of New Spain and Peru in the seventeenth and eighteenth centuries. It argues that the use of European prints was an essential component of the very framework in which colonial artists forged ideas about what it meant to be a creator.

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cover of Russell's Metaphysical Logic

Russell's Metaphysical Logic

Bernard Linsky

CSLI, 1999

This study reconciles distinct aspects of Russell's thought long thought to be incompatible, the metaphysics of universals and facts from Russell's Logical Atomism period and the philosophical justification of the ramified theory of types in the Introduction to Principia Mathematica. This account, which interprets Russell as being a realist about both universals and propositional functions, while distinguishing the two, provides a defense of some problematic features of the logic of PM including the Axiom of Reducibility and the Vicious Circle Principle. Russell's seemingly ambivalent attitude towards propositions and functions is explained by interpreting both with a broadened notion of logical construction. Contrary to other recent interpretations, this account follows Alonzo Church's technical formulation of the ramified theory of types and interprets the quantifiers as objectual, ranging over functions as entities, while being consistent with the 'multiple relation' theory of judgment.
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