Philosophy of Science, Logic and Mathematics in the 20th Century

Philosophy of Science, Logic and Mathematics in the 20th Century
Author: Stuart G. Shanker
Publisher: Taylor & Francis
Total Pages: 508
Release: 2023-05-09
Genre: Philosophy
ISBN: 1000949699

The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.

Routledge History of Philosophy Volume IX

Routledge History of Philosophy Volume IX
Author: S. G. Shanker
Publisher: Routledge
Total Pages: 500
Release: 2003-09-02
Genre: Philosophy
ISBN: 1134393377

Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on the mechanist/vitalist debates. The volume also contains a helpful chronology to the major scientific and philosophical events in the twentieth century. It also provides an extensive glossary of technical terms in the notes on major figures in these fields.

On Logic and the Theory of Science

On Logic and the Theory of Science
Author: Jean Cavailles
Publisher: MIT Press
Total Pages: 143
Release: 2021-04-27
Genre: Philosophy
ISBN: 1913029417

A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Essays in the Philosophy and History of Logic and Mathematics

Essays in the Philosophy and History of Logic and Mathematics
Author: Roman Murawski
Publisher: BRILL
Total Pages: 327
Release: 2015-06-29
Genre: Philosophy
ISBN: 9042030917

The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.

Philosophy of Mathematics in the Twentieth Century

Philosophy of Mathematics in the Twentieth Century
Author: Charles Parsons
Publisher: Harvard University Press
Total Pages: 365
Release: 2014-03-10
Genre: Philosophy
ISBN: 0674419499

In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.

Routledge History of Philosophy

Routledge History of Philosophy
Author: G. H. R. Parkinson
Publisher:
Total Pages: 0
Release: 1999-02
Genre: Philosophy
ISBN: 9780415447966

A complete 10 volume set of the Routledge History of Philosophy, which has established itself as the most comprehensive chronological survey of the history of western philosophy available.

The Logic in Philosophy of Science

The Logic in Philosophy of Science
Author: Hans Halvorson
Publisher: Cambridge University Press
Total Pages: 305
Release: 2019-07-11
Genre: Philosophy
ISBN: 1107110998

Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.

Logic, Epistemology, and the Unity of Science

Logic, Epistemology, and the Unity of Science
Author: Shahid Rahman
Publisher: Springer Science & Business Media
Total Pages: 618
Release: 2009-03-15
Genre: Philosophy
ISBN: 1402028083

The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.

From Mathematics to Philosophy (Routledge Revivals)

From Mathematics to Philosophy (Routledge Revivals)
Author: Hao Wang
Publisher: Routledge
Total Pages: 445
Release: 2016-06-10
Genre: Philosophy
ISBN: 1134884338

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.