Logicism Intuitionism And Formalism PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Logicism Intuitionism And Formalism PDF full book. Access full book title Logicism Intuitionism And Formalism.
Author | : Sten Lindström |
Publisher | : Springer Science & Business Media |
Total Pages | : 509 |
Release | : 2008-11-25 |
Genre | : Mathematics |
ISBN | : 1402089260 |
Download Logicism, Intuitionism, and Formalism Book in PDF, ePub and Kindle
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.
Author | : Stewart Shapiro |
Publisher | : OUP USA |
Total Pages | : 850 |
Release | : 2005-02-10 |
Genre | : Mathematics |
ISBN | : 0195148770 |
Download The Oxford Handbook of Philosophy of Mathematics and Logic Book in PDF, ePub and Kindle
Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Author | : Mark Colyvan |
Publisher | : Cambridge University Press |
Total Pages | : 199 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 0521826020 |
Download An Introduction to the Philosophy of Mathematics Book in PDF, ePub and Kindle
A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.
Author | : Joel David Hamkins |
Publisher | : MIT Press |
Total Pages | : 350 |
Release | : 2021-03-09 |
Genre | : Mathematics |
ISBN | : 0262542234 |
Download Lectures on the Philosophy of Mathematics Book in PDF, ePub and Kindle
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.
Author | : Craig Smorynski |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461386012 |
Download Self-Reference and Modal Logic Book in PDF, ePub and Kindle
It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert's proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with the meeting. For him, the relationship between formalism and intuitionism has been clarified: There need be no war between the intuitionist and the formalist. Once the formalist has successfully completed Hilbert's programme and shown "finitely" that the "idealised" mathematics objected to by Brouwer proves no new "meaningful" statements, even the intuitionist will fondly embrace the infinite. To this euphoric revelation, a shy young man cautions~ "According to the formalist conception one adjoins to the meaningful statements of mathematics transfinite (pseudo-')statements which in themselves have no meaning but only serve to make the system a well-rounded one just as in geometry one achieves a well rounded system by the introduction of points at infinity.
Author | : Øystein Linnebo |
Publisher | : Princeton University Press |
Total Pages | : 214 |
Release | : 2020-03-24 |
Genre | : Mathematics |
ISBN | : 069120229X |
Download Philosophy of Mathematics Book in PDF, ePub and Kindle
A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.
Author | : Borut Robič |
Publisher | : Springer |
Total Pages | : 341 |
Release | : 2015-09-14 |
Genre | : Computers |
ISBN | : 3662448084 |
Download The Foundations of Computability Theory Book in PDF, ePub and Kindle
This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.
Author | : Alfred North Whitehead |
Publisher | : |
Total Pages | : 688 |
Release | : 1910 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Principia Mathematica Book in PDF, ePub and Kindle
Author | : Jean Cavailles |
Publisher | : MIT Press |
Total Pages | : 143 |
Release | : 2021-04-27 |
Genre | : Philosophy |
ISBN | : 1913029417 |
Download On Logic and the Theory of Science Book in PDF, ePub and Kindle
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.
Author | : Stewart Shapiro |
Publisher | : OUP Oxford |
Total Pages | : 323 |
Release | : 2000-07-13 |
Genre | : Philosophy |
ISBN | : 0192893068 |
Download Thinking about Mathematics Book in PDF, ePub and Kindle
Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.