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The Meaning And Philosophy Of Numbers
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Book Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principia Mathematica by : Alfred North Whitehead
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Meaning and Philosophy of Numbers by : Leonard Bosman
Download or read book The Meaning and Philosophy of Numbers written by Leonard Bosman and published by . This book was released on 1974 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new release of the original 1932 edition.
Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Book Synopsis Philosophy of Arithmetic by : Edmund Husserl
Download or read book Philosophy of Arithmetic written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.
Book Synopsis The Philosophy of Numbers by : L. Dow Balliett
Download or read book The Philosophy of Numbers written by L. Dow Balliett and published by Literary Licensing, LLC. This book was released on 2014-03 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1917 Edition.
Book Synopsis Somewhere Between the One and the Zero-- : the Philosophy of Number by : Kevin P. Cerveny
Download or read book Somewhere Between the One and the Zero-- : the Philosophy of Number written by Kevin P. Cerveny and published by Trafford Publishing. This book was released on 2004 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Somewhere Between the One and the Zero is a book about the philosophy of numbers. The book is dedicated to exploring the meaning found in numbers and the evidence that they provide for the existence of the "infinite." A detailed look into "what" it is that makes up infinity is pursued with the hope that a focused study will help to demystify what is most often a misrepresented concept. The purpose of this venture is to better understand our place in the universe. The hope of the book is for all to understand the infinite value of all things. The messages that are displayed out in number provide all of the evidence required to permit both purpose and hope to be achieved.
Book Synopsis The Social Life of Numbers by : Gary Urton
Download or read book The Social Life of Numbers written by Gary Urton and published by University of Texas Press. This book was released on 1997-11 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unraveling all the mysteries of the khipu—the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies—will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes. Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.
Book Synopsis Phenomenology, Logic, and the Philosophy of Mathematics by : Richard L. Tieszen
Download or read book Phenomenology, Logic, and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Book Synopsis Knowledge and the Philosophy of Number by : Keith Hossack
Download or read book Knowledge and the Philosophy of Number written by Keith Hossack and published by Bloomsbury Publishing. This book was released on 2020-02-20 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions? This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers. In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity. Given Euclid's axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality.
Book Synopsis Meaning and Philosophy of Numbers by : Leonard Bosman
Download or read book Meaning and Philosophy of Numbers written by Leonard Bosman and published by Ibis Western Mystery Tradition. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: London: Rider & Co., 1932.
Book Synopsis Number and Numbers by : Alain Badiou
Download or read book Number and Numbers written by Alain Badiou and published by John Wiley & Sons. This book was released on 2018-05-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The political regime of global capitalism reduces the world to an endless network of numbers within numbers, but how many of us really understand what numbers are? Without such an understanding, how can we challenge the regime of number? In Number and Numbers Alain Badiou offers an philosophically penetrating account with a powerful political subtext of the attempts that have been made over the last century to define the special status of number. Badiou argues that number cannot be defined by the multiform calculative uses to which numbers are put, nor is it exhausted by the various species described by number theory. Drawing on the mathematical theory of surreal numbers, he develops a unified theory of Number as a particular form of being, an infinite expanse to which our access remains limited. This understanding of Number as being harbours important philosophical truths about the structure of the world in which we live. In Badiou's view, only by rigorously thinking through Number can philosophy offer us some hope of breaking through the dense and apparently impenetrable capitalist fabric of numerical relations. For this will finally allow us to point to that which cannot be numbered: the possibility of an event that would deliver us from our unthinking subordination of number.
Book Synopsis The Philosophy of Numbers by : Dow L. Balliett
Download or read book The Philosophy of Numbers written by Dow L. Balliett and published by Health Research Books. This book was released on 1996-09 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1908 Contents: Your First Birth; Eventful Births; If We Have Individual Colors, When & How Did We First Receive Them?; Use of Birth Vibrations; Meaning of Colors as Disclosed Through Vibration of Numbers as Taught by Pythagoras; Exercises; Reading.
Book Synopsis Wittgenstein's Philosophy of Mathematics by : Juliet Floyd
Download or read book Wittgenstein's Philosophy of Mathematics written by Juliet Floyd and published by Cambridge University Press. This book was released on 2021-08-12 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Book Synopsis Introducing Philosophy of Mathematics by : Michele Friend
Download or read book Introducing Philosophy of Mathematics written by Michele Friend and published by Routledge. This book was released on 2014-12-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
Book Synopsis Mathematics: A Concise History and Philosophy by : W.S. Anglin
Download or read book Mathematics: A Concise History and Philosophy written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
Book Synopsis Semantics and the Ontology of Number by : Eric Snyder
Download or read book Semantics and the Ontology of Number written by Eric Snyder and published by Cambridge University Press. This book was released on 2021-05-20 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the meanings of number expressions, and what can they tell us about questions of central importance to the philosophy of mathematics, specifically 'Do numbers exist?' This Element attempts to shed light on this question by outlining a recent debate between substantivalists and adjectivalists regarding the semantic function of number words in numerical statements. After highlighting their motivations and challenges, I develop a comprehensive polymorphic semantics for number expressions. I argue that accounting for the numerous meanings and how they are related leads to a strengthened argument for realism, one which renders familiar forms of nominalism highly implausible.