Author : Eric Thomas Updike
Publisher :
Page : 80 pages
File Size : 40,4 MB
Release : 2002
Category :
ISBN :
Logicism Revised
Eric Thomas Updike
[PDF] Logicism Revised eBook
Logicism Revised Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Logicism Revised book. This book definitely worth reading, it is an incredibly well-written.
Logicism Renewed
Paul C. Gilmore
Author : Paul C. Gilmore
Publisher : Cambridge University Press
Page : 250 pages
File Size : 31,38 MB
Release : 2017-03-30
Category : Mathematics
ISBN : 1108676936
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.
Logicism, Intuitionism, and Formalism
Sten Lindström
Author : Sten Lindström
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 31,33 MB
Release : 2008-11-25
Category : Mathematics
ISBN : 1402089260
This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
ELEMENTARY LOGIC REV ED P
W. V. QUINE
Author : W. V. QUINE
Publisher : Harvard University Press
Page : 144 pages
File Size : 48,79 MB
Release : 2009-06-30
Category : Philosophy
ISBN : 0674042492
Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.
Logicism and Its Philosophical Legacy
William Demopoulos
Author : William Demopoulos
Publisher : Cambridge University Press
Page : 285 pages
File Size : 13,73 MB
Release : 2013-01-03
Category : Mathematics
ISBN : 1107029805
These essays apply the core conceptual innovation underlying Frege's theory of number to the general analysis of theoretical knowledge.
Mathematical Logic, Revised Edition
Willard QUINE
Author : Willard QUINE
Publisher : Harvard University Press
Page : 359 pages
File Size : 21,61 MB
Release : 2009-06-30
Category : Philosophy
ISBN : 0674042468
W. V. Quine's systematic development of mathematical logic has been widely praised for the new material presented and for the clarity of its exposition. This revised edition, in which the minor inconsistencies observed since its first publication have been eliminated, will be welcomed by all students and teachers in mathematics and philosophy who are seriously concerned with modern logic. Max Black, in Mind, has said of this book, "It will serve the purpose of inculcating, by precept and example, standards of clarity and precision which are, even in formal logic, more often pursued than achieved."
The Theory of Gambling and Statistical Logic
Richard A. Epstein
Author : Richard A. Epstein
Publisher : Gulf Professional Publishing
Page : 476 pages
File Size : 25,81 MB
Release : 1995
Category : Business & Economics
ISBN : 9780122407611
Covering all aspects of gambling, The Theory of Gambling and Statistical Logic is mathematically sophisticated, but can be read for what it says about the games and strategies, skipping the technicalities. The material is fascinating and detailed, and the analysis is masterful.
Set Theory and Its Logic, Revised Edition
Willard Van O QUINE
Author : Willard Van O QUINE
Publisher : Harvard University Press
Page : 381 pages
File Size : 45,80 MB
Release : 2009-06-30
Category : Philosophy
ISBN : 0674042425
This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.
The Metaphysics of Logic
Penelope Rush
Author : Penelope Rush
Publisher : Cambridge University Press
Page : 279 pages
File Size : 26,86 MB
Release : 2014-10-16
Category : Mathematics
ISBN : 1107039649
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Origins and Varieties of Logicism
Francesca Boccuni
Author : Francesca Boccuni
Publisher : Taylor & Francis
Page : 419 pages
File Size : 10,98 MB
Release : 2021-11-29
Category : Mathematics
ISBN : 1000508110
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.