Semantic Analysis,as a method of the great movement known as the "linguistic turn" in the 20th century history of philosophy,not only gave rise to the birth of the philosophy of science,but also is the direc...Semantic Analysis,as a method of the great movement known as the "linguistic turn" in the 20th century history of philosophy,not only gave rise to the birth of the philosophy of science,but also is the direct source of the real philosophy of mathematics in the early 20th century.Frege’s philosophy of mathematics and semantic thought in his "The Foundations of Arithmetic"(1884)is very important.This paper tries to investigate how Frege used his semantic strategy to explore the ontological and epistemological questions about arithmetic.Finally,it point out the philosophical significance of semantic anal.展开更多
In recent 50 years,the debate between mathematical realism and anti-realism has been dominating the mainstream development in the contemporary philosophy of mathematics. Penelope Maddy proposed a naturalistic set theo...In recent 50 years,the debate between mathematical realism and anti-realism has been dominating the mainstream development in the contemporary philosophy of mathematics. Penelope Maddy proposed a naturalistic set theoretic realism in 1990. This project brings the philosophy of mathematics a new research idea,that is,philosophy should attach importance to mathematical practice. This article will critically analyze Maddy’s naturalistic set theoretic realism on the basis of research paradigm background belief. By analyzing Maddy’s strategy,this article will try to make the task of the philosophy of mathematics clearer and put forward some necessary conditions needed by a reasonable research paradigm for the philosophy of mathematics.展开更多
The fundamental aim of philosophy of mathematics is to make a reasonable interpretation of the nature of mathematics. Facing all kinds of interpretative approaches to the problems of mathematical knowledge in the cont...The fundamental aim of philosophy of mathematics is to make a reasonable interpretation of the nature of mathematics. Facing all kinds of interpretative approaches to the problems of mathematical knowledge in the contemporary philosophy of mathematics and controversies resulted, what basic point and analytical strategy will the philosophy of mathematics adopt to make comprehensive and valid interpretation of mathematics? The paper tries to analyze the nature of mathematical knowledge in terms of four parts, namely, the development of the contemporary philosophy of mathematics and the choice of mathematical context, contextualization of mathematical knowledge, features of mathematical context and the significance of contextual analysis in philosophy of mathematics. By these concrete interpretations, the paper provides a novel method, namely, contextual analysis, which will become one of the interpretative approaches in the future contemporary philosophy of mathematics.展开更多
文摘Semantic Analysis,as a method of the great movement known as the "linguistic turn" in the 20th century history of philosophy,not only gave rise to the birth of the philosophy of science,but also is the direct source of the real philosophy of mathematics in the early 20th century.Frege’s philosophy of mathematics and semantic thought in his "The Foundations of Arithmetic"(1884)is very important.This paper tries to investigate how Frege used his semantic strategy to explore the ontological and epistemological questions about arithmetic.Finally,it point out the philosophical significance of semantic anal.
文摘In recent 50 years,the debate between mathematical realism and anti-realism has been dominating the mainstream development in the contemporary philosophy of mathematics. Penelope Maddy proposed a naturalistic set theoretic realism in 1990. This project brings the philosophy of mathematics a new research idea,that is,philosophy should attach importance to mathematical practice. This article will critically analyze Maddy’s naturalistic set theoretic realism on the basis of research paradigm background belief. By analyzing Maddy’s strategy,this article will try to make the task of the philosophy of mathematics clearer and put forward some necessary conditions needed by a reasonable research paradigm for the philosophy of mathematics.
文摘The fundamental aim of philosophy of mathematics is to make a reasonable interpretation of the nature of mathematics. Facing all kinds of interpretative approaches to the problems of mathematical knowledge in the contemporary philosophy of mathematics and controversies resulted, what basic point and analytical strategy will the philosophy of mathematics adopt to make comprehensive and valid interpretation of mathematics? The paper tries to analyze the nature of mathematical knowledge in terms of four parts, namely, the development of the contemporary philosophy of mathematics and the choice of mathematical context, contextualization of mathematical knowledge, features of mathematical context and the significance of contextual analysis in philosophy of mathematics. By these concrete interpretations, the paper provides a novel method, namely, contextual analysis, which will become one of the interpretative approaches in the future contemporary philosophy of mathematics.
