书名: Mathematics As a Science of Patterns
作者: Michael D. Resnik (Author)
出版社: Oxford University Press, USA (March 16, 2000)
语言: English
ISBN-10: 0198250142
ISBN-13: 978-0198250142
电子书格式:HTML
Book Description
This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist.
Review
"For over twenty years, Michael D. Resnik has been crafting a philosophical view of mathematics: one remarkably sensitive to the opposing tensions that make philosophizing in this domain so difficult....The resulting book is perfect for classroom use: it's extremely clear, and Resnik ensures that even the novice is with him at every stage." -- Journal of Symbolic Logic
"Resnik has presented an admirably clear discussion of the main issues and arguments that define the philosophy of mathematics. His excellent exposition of the issues and his exploration of new solutions constitute an important advance in the discussion." -- History & Philosophy of Logic
`It is no criticism to say that a philosophical book leaves questions unanswered -- they all do. What matters is that an author should answer the questions he set out to address, and raise new ones of sufficient interest to sustain further debate. In this, Resnik has succeeded admirably.' -- International Studies in the Philosophy of Science
`With great clarity and thoroughness, Michael D. Resnik, in Mathematics as a Science of Patterns, and Stewart Shapiro, in Philosophy of Mathematics, both articulate versions of an attractive programme for those who take ontology as primary.' -- Philip Kitcher, Times Literary Supplement
About the Author
Michael D. Resnik is University Distinguished Professor of Philosophy at the University of North Carolina, Chapel Hill.
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作者: Michael D. Resnik (Author)
出版社: Oxford University Press, USA (March 16, 2000)
语言: English
ISBN-10: 0198250142
ISBN-13: 978-0198250142
电子书格式:HTML
Book Description
This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist.
Review
"For over twenty years, Michael D. Resnik has been crafting a philosophical view of mathematics: one remarkably sensitive to the opposing tensions that make philosophizing in this domain so difficult....The resulting book is perfect for classroom use: it's extremely clear, and Resnik ensures that even the novice is with him at every stage." -- Journal of Symbolic Logic
"Resnik has presented an admirably clear discussion of the main issues and arguments that define the philosophy of mathematics. His excellent exposition of the issues and his exploration of new solutions constitute an important advance in the discussion." -- History & Philosophy of Logic
`It is no criticism to say that a philosophical book leaves questions unanswered -- they all do. What matters is that an author should answer the questions he set out to address, and raise new ones of sufficient interest to sustain further debate. In this, Resnik has succeeded admirably.' -- International Studies in the Philosophy of Science
`With great clarity and thoroughness, Michael D. Resnik, in Mathematics as a Science of Patterns, and Stewart Shapiro, in Philosophy of Mathematics, both articulate versions of an attractive programme for those who take ontology as primary.' -- Philip Kitcher, Times Literary Supplement
About the Author
Michael D. Resnik is University Distinguished Professor of Philosophy at the University of North Carolina, Chapel Hill.
[thread=24947]论坛相关讨论主题[/thread]