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Author : Hilary Putnam
Publisher : Cambridge University Press
Page : 380 pages
File Size : 50,5 Mb
Release : 1979-04-30
Category : Mathematics
ISBN : 0521295505
This volume deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry.
Author : Hilary Putnam
Publisher : CUP Archive
Page : 362 pages
File Size : 52,8 Mb
Release : 1975-11
Category : Philosophy
ISBN : 0521206650
Author : Hilary Putnam
Publisher : Cambridge University Press
Page : 382 pages
File Size : 51,6 Mb
Release : 2012-05-11
Category : Philosophy
ISBN : 9781139241663
Author : Russell Marcus,Mark McEvoy
Publisher : Bloomsbury Publishing
Page : 896 pages
File Size : 55,9 Mb
Release : 2016-02-11
Category : Philosophy
ISBN : 9781472529480
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Author : Victoria S. Harrison
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Religion
ISBN : 9789401008723
The Apologetic Value of Human Holiness begins by providing the first comprehensive account of the model of human holiness developed by the leading theologian Hans Urs von Balthasar. In so doing, the book also provides the first detailed explication of his Christocentric philosophical anthropology. Part 2 argues that von Balthasar anticipates some key developments in late twentieth-century Anglo-American analytical philosophy, and that certain of these developments - in particular, the `internal realism' of Hilary Putnam - provide powerful support for von Balthasar's theological philosophy. The final part elucidates von Balthasar's core intuition that human holiness is of immense apologetic value for religious faith, and concludes with a new, `internalist' theory of religious pluralism. The Apologetic Value of Human Holiness will be seen as an important and original contribution to both Philosophy of Religion and Theology, and is likely to prove essential reading in upper-level undergraduate and postgraduate courses in both subjects.
Author : Jerrold J. Katz
Publisher : MIT Press
Page : 268 pages
File Size : 40,9 Mb
Release : 1997-12-08
Category : Philosophy
ISBN : 0262263297
Jerrold Katz develops a new philosophical position integrating realism and rationalism. In Realistic Rationalism, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research.
Author : Ian Hacking
Publisher : Cambridge University Press
Page : 307 pages
File Size : 55,5 Mb
Release : 2014-01-30
Category : Mathematics
ISBN : 9781107050174
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
Author : Paul Benacerraf,Hilary Putnam
Publisher : Cambridge University Press
Page : 604 pages
File Size : 44,6 Mb
Release : 1984-01-27
Category : Science
ISBN : 9781107268135
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Author : Thomas Bedürftig,Roman Murawski
Publisher : Walter de Gruyter GmbH & Co KG
Page : 474 pages
File Size : 50,6 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783110468335
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
Author : Roberto Mangabeira Unger
Publisher : Verso Books
Page : 377 pages
File Size : 47,9 Mb
Release : 2020-05-05
Category : Social Science
ISBN : 9781789609813
Social Theory: Its Situation and Its Task is an introduction both to Unger's ideas and to the major debates of contemporary social, political and economic thought. Unger shows how the failures of social science and the criticism of such ambitious, deterministic theories as Marxism offer materials for an alternative practice of social understanding. This alternative severs, once and for all, the link between the explanation of social arrangements and the vindication of their necessity. Unger argues that the disappointment of so many liberal and socialist hopes coexists with unforeseen opportunities to advance progressive commitments. To seize such opportunities, however, we must rethink many of our basic beliefs about society about what it is and what it can become. Social Theory: Its Situation and Its Task shows that what at first seems a circumstance of intellectual and political paralysis turns out to be rich in unrecognized transformative possibility.
Author : David J. Stump
Publisher : Routledge
Page : 194 pages
File Size : 40,6 Mb
Release : 2015-05-15
Category : Philosophy
ISBN : 9781317495383
In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science. Stump emphasizes the unique epistemological status of the constitutive elements of scientific theories, constitutive elements being the necessary preconditions that must be assumed in order to conduct a particular scientific inquiry. These constitutive elements, such as logic, mathematics, and even some fundamental laws of nature, were once taken to be a priori knowledge but can change, thus leading to a dynamic or relative a priori. Stump critically examines developments in thinking about constitutive elements in science as a priori knowledge, from Kant’s fixed and absolute a priori to Quine’s holistic empiricism. By examining the relationship between conceptual change and the epistemological status of constitutive elements in science, Stump puts forward an argument that scientific revolutions can be explained and relativism can be avoided without resorting to universals or absolutes.
Author : Charles Parsons
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,8 Mb
Release : 2007-12-24
Category : Science
ISBN : 1139467271
Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.
Author : H. W. Wyld
Publisher : CRC Press
Page : 296 pages
File Size : 51,9 Mb
Release : 2018-03-14
Category : Science
ISBN : 9780429978647
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Author : David B. Teplow
Publisher : Cambridge University Press
Page : 415 pages
File Size : 53,8 Mb
Release : 2023-08-31
Category : Science
ISBN : 9781009445276
This book is a novel synthesis of the philosophy and practice of science, covering its diverse theoretical, metaphysical, logical, philosophical, and practical elements. The process of science is generally taught in its empirical form: what science is, how it works, what it has achieved, and what it might achieve in the future. What is often absent is how to think deeply about science and how to apply its lessons in the pursuit of truth, in other words, knowing how to know. In this volume, David Teplow presents illustrative examples of science practice, history and philosophy of science, and sociological aspects of the scientific community, to address commonalities among these disciplines. In doing so, he challenges cherished beliefs and suggests to students, philosophers, and practicing scientists new, epistemically superior, ways of thinking about and doing science.
Author : James Roy Newman
Publisher : Courier Corporation
Page : 788 pages
File Size : 44,7 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 0486411532
Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).