Lectures on the Philosophy of Mathematics
暫譯: 數學哲學講座
Hamkins, Joel David
- 出版商: Summit Valley Press
- 出版日期: 2021-03-09
- 售價: $1,810
- 貴賓價: 9.5 折 $1,720
- 語言: 英文
- 頁數: 352
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0262542234
- ISBN-13: 9780262542234
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商品描述
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.
商品描述(中文翻譯)
基於數學的數學哲學入門,並受到數學探究和實踐的驅動。
在這本書中,Joel David Hamkins 提供了一個基於數學的數學哲學入門,並受到數學探究和實踐的驅動。他有機地處理哲學問題,討論如柏拉圖主義、現實主義、邏輯主義、結構主義、形式主義、無窮大和直覺主義等主題,並將其置於數學的背景中。他根據數學主題組織本書——數字、嚴謹性、幾何、證明、可計算性、不完全性和集合論——這些主題不斷引發哲學思考。作者簡介
Joel David Hamkins is Professor of Logic at Oxford University and Sir Peter Strawson Fellow in Philosophy at University College, Oxford. The author of Proof and the Art of Mathematics (MIT Press), he is the creator of the popular blog Mathematics and Philosophy of the Infinite. He is a prominent contributor to MathOverflow, where he has posted more than 1,000 mathematical arguments.
作者簡介(中文翻譯)
喬爾·大衛·哈姆金斯(Joel David Hamkins)是牛津大學邏輯學教授,並且是牛津大學學院的彼得·斯特勞森爵士哲學研究員。他是《證明與數學的藝術》(Proof and the Art of Mathematics,麻省理工學院出版社)的作者,也是受歡迎的部落格《數學與無限的哲學》(Mathematics and Philosophy of the Infinite)的創建者。他是 MathOverflow 的重要貢獻者,已經發表了超過 1,000 篇數學論證。