English
- إرجاع مجاني بسهولة
- أفضل عروض
المواصفات
| الناشر | Oxford University Press |
| رقم الكتاب المعياري الدولي 13 | 9780195139303 |
| رقم الكتاب المعياري الدولي 10 | 0195139305 |
| اللغة | الإنجليزية |
| العنوان الفرعي للكتاب | Structure and Ontology |
| وصف الكتاب | Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. |
| المراجعة التحريرية | Extremely interesting and deserves the attention of anyone with a serious interest in the field ... a careful study of the book will be enormously rewarding to anyone with some prior exposure to the field. (Philosophia Mathematica) |
| عن المؤلف | Stewart Shapiro is Professor of Philosophy at Ohio State University at Newark and the University of St. Andrews, Scotland. |
| تاريخ النشر | 1-Jan-1997 |
| عدد الصفحات | 296 |
Philosophy Of Mathematics Paperback paperback english - 1-Jan-1997
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