Lakatos Mathematics Philosophy Research

Lakatos is a famous contemporary western mathematical philosophers and philosophers of science,he is a skeptic,in his view,the basic theories of mathematics are gone,his philosophy of mathematics research is based on an infinite regression argument.Mathematics basic research and logic positivism decline failure caused the third mathematical crisis,his proposed empiricism and the experience of scientific methodology for the study of the philosophy of mathematics has opened up a new road,at the same time also reflects the rise of empiricism and issuing false doctrine.Summary of this paper tries to lakatos' s core idea of philosophy of mathematics thought and the popper,leibniz mathematical philosophers to discuss a strategy for the demonstration,finally to lakatos' s philosophy of mathematics thought are reviewed briefly.Specifically,first of all,analyzed the theory basis of lakatos mathematics philosophy: the outbreak of the third mathematical crisis and philosophy of mathematics basic theory research of empirical turn to as a mathematical basis;The disintegration of logic positivism and popper's falsificationism theory in philosophy of mathematics as a philosophical foundation.Second mainly in clear lakatos mathematics philosophy context: lakatos quasi empiricism is the core content of the mathematics philosophy,the concrete including the experience system,development mode,no evidence of the existence of three aspects;Lakatos' s theory of infinite,concrete including mathematics philosophy is material to divide the properties of the collection of mathematics overall concept,limitless,limitless fiction concept from three aspects;Lakatos' s theory of time,pull the cato stone of leibniz time theory of refute formed his own theory of time;Lakatos methodology,including traditional standards of mathematical rigor,proof analysis,mathematics research programme set up three aspects;Finally to lakatos' s philosophy of mathematics thought,carried on the brief review to the rationality and limitation of comprehensive analysis,reveals its influence on the development of the thought of mathematics and its revolutionary role of methodology,philosophical reflection on the mathematical foundation;Discuss about the limitations of lakatos thought to fitting the one-sidedness of the limitations of empiricism and methodology.