Logic Philosophy Of Mathematics And Their History

Logic Philosophy Of Mathematics And Their History 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 Logic Philosophy Of Mathematics And Their History book. This book definitely worth reading, it is an incredibly well-written.

Logic, Philosophy of Mathematics, and Their History

Erich H Reck
Logic Philosophy of Mathematics and Their History Book PDF

Author : Erich H Reck
Publisher : Unknown
Page : 326 pages
File Size : 53,5 Mb
Release : 2018-11-16
Category : Mathematics
ISBN : 1848902875

Get Book

Logic, Philosophy of Mathematics, and Their History by Erich H Reck Pdf

In a career that spans 60 years so far, W.W. Tait has made many highly influential contributions to logic, the philosophy of mathematics, and their history. The present collection of new essays - contributed by former students, colleagues, and friends - is a Festschrift, i.e., a celebration of his life and work. The essays address a variety of themes prominent in his work or related to it. The collection starts with an introduction in which Tait's contributions are sketched and put into context. The eleven essays that follow are arranged in three parts: Part I. Proof Theory and its History; Part II. Logic and Philosophy of Mathematics; and Part III. History of Logic and Philosophy of Mathematics. Each of the essays contributes substantially to one or several of these areas. The authors included are: Steve Awodey, Solomon Feferman, Michael Friedman, Warren Goldfarb, Geoffrey Hellman, William Howard, Stephen Menn, Rebecca Morris, Charles Parsons, Erich Reck, Thomas Ricketts, and Wilfried Sieg. The editor, Erich H. Reck is Professor of Philosophy at the University of California at Riverside.

Essays in the Philosophy and History of Logic and Mathematics

Roman Murawski
Essays in the Philosophy and History of Logic and Mathematics Book PDF

Author : Roman Murawski
Publisher : BRILL
Page : 327 pages
File Size : 55,9 Mb
Release : 2015-06-29
Category : Philosophy
ISBN : 9789042030916

Get Book

Essays in the Philosophy and History of Logic and Mathematics by Roman Murawski Pdf

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.

Mathematics, Logic, and their Philosophies

Mojtaba Mojtahedi,Shahid Rahman,Mohammad Saleh Zarepour
Mathematics Logic and their Philosophies Book PDF

Author : Mojtaba Mojtahedi,Shahid Rahman,Mohammad Saleh Zarepour
Publisher : Springer Nature
Page : 493 pages
File Size : 53,7 Mb
Release : 2021-02-09
Category : Philosophy
ISBN : 9783030536541

Get Book

Mathematics, Logic, and their Philosophies by Mojtaba Mojtahedi,Shahid Rahman,Mohammad Saleh Zarepour Pdf

This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

Roman Murawski
The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland Book PDF

Author : Roman Murawski
Publisher : Springer
Page : 228 pages
File Size : 48,7 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9783034808316

Get Book

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland by Roman Murawski Pdf

The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polish scientists will be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we consider in Chapter 1 some predecessors, in particular: Jan Śniadecki, Józef Maria Hoene-Wroński, Samuel Dickstein and Edward Stamm.

Perspectives on the History of Mathematical Logic

Thomas Drucker
Perspectives on the History of Mathematical Logic Book PDF

Author : Thomas Drucker
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 41,6 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780817647698

Get Book

Perspectives on the History of Mathematical Logic by Thomas Drucker Pdf

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.

Philosophical and Mathematical Logic

Harrie de Swart
Philosophical and Mathematical Logic Book PDF

Author : Harrie de Swart
Publisher : Springer
Page : 539 pages
File Size : 50,6 Mb
Release : 2018-11-28
Category : Philosophy
ISBN : 9783030032555

Get Book

Philosophical and Mathematical Logic by Harrie de Swart Pdf

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo

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

Stuart G. Shanker
Philosophy of Science Logic and Mathematics in the 20th Century Book PDF

Author : Stuart G. Shanker
Publisher : Taylor & Francis
Page : 508 pages
File Size : 43,9 Mb
Release : 2023-05-09
Category : Philosophy
ISBN : 9781000949698

Get Book

Philosophy of Science, Logic and Mathematics in the 20th Century by Stuart G. Shanker Pdf

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.

Philosophy of Mathematics

Thomas Bedürftig,Roman Murawski
Philosophy of Mathematics Book PDF

Author : Thomas Bedürftig,Roman Murawski
Publisher : Walter de Gruyter GmbH & Co KG
Page : 474 pages
File Size : 45,9 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783110470772

Get Book

Philosophy of Mathematics by Thomas Bedürftig,Roman Murawski Pdf

The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection

The Adventure of Reason

Paolo Mancosu
The Adventure of Reason Book PDF

Author : Paolo Mancosu
Publisher : OUP Oxford
Page : 632 pages
File Size : 47,7 Mb
Release : 2014-01-09
Category : Philosophy
ISBN : 9780191021992

Get Book

The Adventure of Reason by Paolo Mancosu Pdf

Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.

Mathematics and Mind

Alexander George
Mathematics and Mind Book PDF

Author : Alexander George
Publisher : Oxford University Press, USA
Page : 218 pages
File Size : 49,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9780195079296

Get Book

Mathematics and Mind by Alexander George Pdf

The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.

Leonhard Euler

Robert E. Bradley,Ed Sandifer
Leonhard Euler Book PDF

Author : Robert E. Bradley,Ed Sandifer
Publisher : Elsevier
Page : 542 pages
File Size : 52,6 Mb
Release : 2007-03-20
Category : Mathematics
ISBN : 0080471293

Get Book

Leonhard Euler by Robert E. Bradley,Ed Sandifer Pdf

The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Origins and Varieties of Logicism

Francesca Boccuni,Andrea Sereni
Origins and Varieties of Logicism Book PDF

Author : Francesca Boccuni,Andrea Sereni
Publisher : Taylor & Francis
Page : 419 pages
File Size : 40,7 Mb
Release : 2021-11-29
Category : Mathematics
ISBN : 9781000508116

Get Book

Origins and Varieties of Logicism by Francesca Boccuni,Andrea Sereni Pdf

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.

The Development of Modern Logic

Leila Haaparanta
The Development of Modern Logic Book PDF

Author : Leila Haaparanta
Publisher : Oxford University Press
Page : 1008 pages
File Size : 41,5 Mb
Release : 2009-06-18
Category : Philosophy
ISBN : 0199722722

Get Book

The Development of Modern Logic by Leila Haaparanta Pdf

This edited volume presents a comprehensive history of modern logic from the Middle Ages through the end of the twentieth century. In addition to a history of symbolic logic, the contributors also examine developments in the philosophy of logic and philosophical logic in modern times. The book begins with chapters on late medieval developments and logic and philosophy of logic from Humanism to Kant. The following chapters focus on the emergence of symbolic logic with special emphasis on the relations between logic and mathematics, on the one hand, and on logic and philosophy, on the other. This discussion is completed by a chapter on the themes of judgment and inference from 1837-1936. The volume contains a section on the development of mathematical logic from 1900-1935, followed by a section on main trends in mathematical logic after the 1930s. The volume goes on to discuss modal logic from Kant till the late twentieth century, and logic and semantics in the twentieth century; the philosophy of alternative logics; the philosophical aspects of inductive logic; the relations between logic and linguistics in the twentieth century; the relationship between logic and artificial intelligence; and ends with a presentation of the main schools of Indian logic. The Development of Modern Logic includes many prominent philosophers from around the world who work in the philosophy and history of mathematics and logic, who not only survey developments in a given period or area but also seek to make new contributions to contemporary research in the field. It is the first volume to discuss the field with this breadth of coverage and depth, and will appeal to scholars and students of logic and its philosophy.

Research in History and Philosophy of Mathematics

Maria Zack,Dirk Schlimm
Research in History and Philosophy of Mathematics Book PDF

Author : Maria Zack,Dirk Schlimm
Publisher : Springer Nature
Page : 180 pages
File Size : 43,8 Mb
Release : 2020-01-02
Category : Mathematics
ISBN : 9783030312985

Get Book

Research in History and Philosophy of Mathematics by Maria Zack,Dirk Schlimm Pdf

This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the seventeenth century to the modern era. The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a collection of topics about twentieth-century philosophy of mathematics, including Fred Sommers’s creation of Traditional Formal Logic and Alexander Grothendieck’s work as a starting point for discussing analogies between commutative algebra and algebraic geometry. Continuing the focus on the philosophy of mathematics, the next selections discuss the mathematization of biology and address the study of numerical cognition. The volume then moves to discussing various aspects of mathematics education, including Charles Davies’s early book on the teaching of mathematics and the use of Gaussian Lemniscates in the classroom. A collection of papers on the history of mathematics in the nineteenth century closes out the volume, presenting a discussion of Gauss’s “Allgemeine Theorie des Erdmagnetismus” and a comparison of the geometric works of Desargues and La Hire. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.

Russell's Unknown Logicism

S. Gandon
Russell s Unknown Logicism Book PDF

Author : S. Gandon
Publisher : Springer
Page : 263 pages
File Size : 47,7 Mb
Release : 2012-08-30
Category : Mathematics
ISBN : 9781137024657

Get Book

Russell's Unknown Logicism by S. Gandon Pdf

In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.