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We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the...
“Spinoza and the Philosophy of Science:Mathematics,Motion,and Being”
Spinoza Motion Mechanics Philosophy of Science Mathematics
2016/5/31
This chapter argues that the standard conception of Spinoza as a fellow-travelling mechanical philosopher and proto-scientific naturalist is misleading. It argues, first, that Spinoza’s account of the...
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...