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Justifying Definitions in Mathematics—Going Beyond Lakatos
definitions in mathematics justification of definitions Lakatos mathematical reasoning
2009/4/27
This paper addresses the actual practice of justifying definitions in mathematics. First, I introduce the main account of this issue, namely Lakatos's proof-generated definitions. Based on a case stud...
Popper, Kuhn, Lakatos, and Aim-Oriented Empiricism
Scientific rationality Popper Kuhn Lakatos
2008/4/22
In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere, is a kind of synthesis of the views of Popper, Kuhn and Lakatos...
It is now almost 20 years since his untimely death robbed the world of the man who was potentially the most important living philosopher of mathematics, Imre Lakatos. Although his main work was carrie...
In this paper I argue that aim-oriented empiricism (AOE),
a conception of natural science that I have defended at some
length elsewhere, is a kind of synthesis of the views of
Popper, Kuhn and Laka...
What Lakatos Could Teach the Mathematical Physicist
Jaffe-Quinn debate theoretical mathematics Imre Lakatos's philosophy of mathematics
2008/4/30
In their 1993 article "'Theoretical Mathematics': Toward a Cultural Synthesis of Mathematics and Theoretical Physics" published in the Bulletin of the American Mathematical Society, the eminent mathem...
Popper, Kuhn, Lakatos, and Aim-Oriented Empiricism
Scientific rationality Popper Kuhn Lakatos methodology scientific progress falsificationism empiricism metaphysics philosophy of physics research programmes
2011/9/7
In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere, is a kind of synthesis of the views of Popper, Kuhn and Lakatos...
What Lakatos Could Teach the Mathematical Physicist
Jaffe-Quinn debate theoretical mathematics Imre Lakatos's philosophy of mathematics rigor in mathematics and mathematical physics
2011/9/8
In their 1993 article "'Theoretical Mathematics': Toward a Cultural Synthesis of Mathematics and Theoretical Physics" published in the Bulletin of the American Mathematical Society, the eminent mathem...