……打书名能打上一整天，所以我先列这些最先从脑子里蹦出来的吧。亚里士多德《尼各马可伦理学》、大卫·查默斯《有意识的心灵：寻找基要理论》（The Conscious Mind: In Search of a Fundamental Theory）、戈特洛布·弗雷格《算术基础》（Die Grundlagen der Arithmetik）、托马斯·霍布斯《利维坦》、大卫·休谟《人类理解研究》、J.S. 密尔《论自由》、约翰·罗尔斯《正义论》、斯图尔特·夏皮罗《数学哲学：结构与本体》（Philosophy of Mathematics: Structure and Ontology）
…keep tying titles all day, so I'll stop with those that first popped into my head. Aristotle, Nicomachean Ethics David Chalmers, The Conscious Mind: In Search of a Fundamental Theory Gottlob Frege, Die Grundlagen der Arithmetik Thomas Hobbes, Leviathan David Hume, An Enquiry Concerning Human Understanding J.S. Mill, On Liberty John Rawls, A Theory of Justice Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology
我不太清楚英译本怎么样，但如果有人想了解现代数学哲学是如何起步的，以及从哲学角度可以对数学提出哪些疑问，弗雷格的《算术基础》（Die Grundlagen der Arithmetik）绝对是一部引人入胜的佳作。（https://en.m.wikipedia.org/wiki/The_Foundations_of_Arithmeti...）
I don't know the English translations, but Frege's "Die Grundlagen der Arithmetik" are a fascinating piece if one would like to know how modern philosophy of mathematics started and which questions one might ask about mathematics from a philosophical point of view. (https://en.m.wikipedia.org/wiki/The_Foundations_of_Arithmeti...)
……反身性陈述必然是自指的。加上否定则会导致“恶性”自指。“戈特洛布·弗雷格试图通过他的著作《算术基础（1884）》（Die Grundlagen der Arithmetik）和《算术的基本法则（1893, 1903）》（Grundgesetze der Arithmetik）为数学（集合论）奠定基础，完全抽象原则也是他的公理之一。但在 1902 年，伯特兰·罗素证明了他的系统是不自洽的。”参见第 10 节……
…reflective statements will necessarily be self-referential. The addition of negation leads to "vicious" self-reference. 'Gottlob Frege tried to give a foundation for mathematics (set theory) through his works “Die Grundlagen der Arithmetik (1884)” and “Grundgesetze der Arithmetik (1893,1903)”, the full abstraction principle was among his axioms. But in 1902 his system was shown to be inconsistent by Bertrand Russell.' See section 10 of…
……打书名能打上一整天，所以我先列这些最先从脑子里蹦出来的吧。亚里士多德《尼各马可伦理学》、大卫·查默斯《有意识的心灵：寻找基要理论》（The Conscious Mind: In Search of a Fundamental Theory）、戈特洛布·弗雷格《算术基础》（Die Grundlagen der Arithmetik）、托马斯·霍布斯《利维坦》、大卫·休谟《人类理解研究》、J.S. 密尔《论自由》、约翰·罗尔斯《正义论》、斯图尔特·夏皮罗《数学哲学：结构与本体》（Philosophy of Mathematics: Structure and Ontology）
…keep tying titles all day, so I'll stop with those that first popped into my head. Aristotle, Nicomachean Ethics David Chalmers, The Conscious Mind: In Search of a Fundamental Theory Gottlob Frege, Die Grundlagen der Arithmetik Thomas Hobbes, Leviathan David Hume, An Enquiry Concerning Human Understanding J.S. Mill, On Liberty John Rawls, A Theory of Justice Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology
我不太清楚英译本怎么样，但如果有人想了解现代数学哲学是如何起步的，以及从哲学角度可以对数学提出哪些疑问，弗雷格的《算术基础》（Die Grundlagen der Arithmetik）绝对是一部引人入胜的佳作。（https://en.m.wikipedia.org/wiki/The_Foundations_of_Arithmeti...）
I don't know the English translations, but Frege's "Die Grundlagen der Arithmetik" are a fascinating piece if one would like to know how modern philosophy of mathematics started and which questions one might ask about mathematics from a philosophical point of view. (https://en.m.wikipedia.org/wiki/The_Foundations_of_Arithmeti...)
……反身性陈述必然是自指的。加上否定则会导致“恶性”自指。“戈特洛布·弗雷格试图通过他的著作《算术基础（1884）》（Die Grundlagen der Arithmetik）和《算术的基本法则（1893, 1903）》（Grundgesetze der Arithmetik）为数学（集合论）奠定基础，完全抽象原则也是他的公理之一。但在 1902 年，伯特兰·罗素证明了他的系统是不自洽的。”参见第 10 节……
…reflective statements will necessarily be self-referential. The addition of negation leads to "vicious" self-reference. 'Gottlob Frege tried to give a foundation for mathematics (set theory) through his works “Die Grundlagen der Arithmetik (1884)” and “Grundgesetze der Arithmetik (1893,1903)”, the full abstraction principle was among his axioms. But in 1902 his system was shown to be inconsistent by Bertrand Russell.' See section 10 of…