Wittgenstein On Mathematical Philosophy

As an important field of philosophy, Mathematical philosophy closely connects the philosophy and mathematics. It actively promotes the research and development of the philosophy and mathematics. The philosophy of mathematics is one of the roots of Wittgenstein’s later philosophy. The reason we can not bypass the Wittgenstein’s Mathematical philosophy is that he not only left a large number of comments on the mathematics but also he put mathematics as the key factor to form philosophical point to develop the transformation process for Wittgenstein. Therefore, the discussion about Wittgenstein on mathematical proof will have a certain significance to mathematics and philosophy.The essay considers Wittgenstein’s mathematical philosophy as a separate topic. Firstly it comes the ideological origins of Wittgenstein’s mathematical philosophy, and defines the Wittgenstein’s understanding about nature, tasks, and object of mathematical philosophy.Secondly, the thesis depicts the Similarities and differences on mathematical philosophy between mathematicians and Wittgenstein. Then on the analogy of mathematical proof and images, patterns and experiments, it highlights the basic features of mathematical proof and distinguishs the types of mathematical proof.After that, it compares the Mathematical philosophy between Wittgenstein and other schools of philosophy and affirms the merits of Wittgenstein’s Mathematical philosophy. Finally, discusses the significance of Wittgenstein’s mathematical proof.