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商品描述
This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.
商品描述(中文翻譯)
這本數學哲學的導論專注於當代在哲學中一個重要且核心的領域的辯論。讀者將踏上一段迷人且有趣的旅程,探索一些引人入勝的數學和哲學領域,包括數學中的現實主義/反現實主義辯論、數學解釋、數學的界限、數學符號的重要性、不一致的數學以及數學的應用。每一章都有若干討論問題和推薦的進一步閱讀資料,涵蓋當代文獻和較早的來源。對數學的背景假設非常少,所有遇到的數學內容都會清楚地介紹並用各種例子進行解釋。這本書適合用作數學哲學的本科課程,並且更廣泛地適合任何對哲學和數學感興趣的人。