Why Is There Philosophy of Mathematics At All?


Book Description

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.




Philosophy of Mathematics


Book Description

The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.







Dictionary of Untranslatables


Book Description

Characters in some languages, particularly Hebrew and Arabic, may not display properly due to device limitations. Transliterations of terms appear before the representations in foreign characters. This is an encyclopedic dictionary of close to 400 important philosophical, literary, and political terms and concepts that defy easy—or any—translation from one language and culture to another. Drawn from more than a dozen languages, terms such as Dasein (German), pravda (Russian), saudade (Portuguese), and stato (Italian) are thoroughly examined in all their cross-linguistic and cross-cultural complexities. Spanning the classical, medieval, early modern, modern, and contemporary periods, these are terms that influence thinking across the humanities. The entries, written by more than 150 distinguished scholars, describe the origins and meanings of each term, the history and context of its usage, its translations into other languages, and its use in notable texts. The dictionary also includes essays on the special characteristics of particular languages--English, French, German, Greek, Italian, Portuguese, Russian, and Spanish. Originally published in French, this one-of-a-kind reference work is now available in English for the first time, with new contributions from Judith Butler, Daniel Heller-Roazen, Ben Kafka, Kevin McLaughlin, Kenneth Reinhard, Stella Sandford, Gayatri Chakravorty Spivak, Jane Tylus, Anthony Vidler, Susan Wolfson, Robert J. C. Young, and many more.The result is an invaluable reference for students, scholars, and general readers interested in the multilingual lives of some of our most influential words and ideas. Covers close to 400 important philosophical, literary, and political terms that defy easy translation between languages and cultures Includes terms from more than a dozen languages Entries written by more than 150 distinguished thinkers Available in English for the first time, with new contributions by Judith Butler, Daniel Heller-Roazen, Ben Kafka, Kevin McLaughlin, Kenneth Reinhard, Stella Sandford, Gayatri Chakravorty Spivak, Jane Tylus, Anthony Vidler, Susan Wolfson, Robert J. C. Young, and many more Contains extensive cross-references and bibliographies An invaluable resource for students and scholars across the humanities




Why Is There Philosophy of Mathematics At All?


Book Description

Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.