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Response to Belot's "Whose Devil? Which Details?"
Explanation Asymptotics Intertheoretic Relations
2008/4/22
I respond to Belot's argument and defend the view that sometimes "fundamental" are explanatorily inadequate and need to be supplemented with certain aspects of less fundamental "theories emeritus."
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A brief explanation of the heuristic value of paradoxes as well as a critique of Mr. Lynds's argument by reductio ad absurdam.
PHILOSOPHICAL AND PUBLIC CONTROVERSY - A RESPONSE TO PAUL ERNEST
PHILOSOPHICAL PUBLIC CONTROVERSY
2008/4/8
Paul Ernest seems to be correct in drawing attention to an important political and social controversy concerning mathematics education, but not in describing the part that the philosophy of mathematic...
Professor Zheng raises some interesting and important issues about the nature of the philosophy of mathematics and the philosophy of mathematics education. In response, I argue below in favour of a br...
RESPONSE TO PAUL'S COMMENTS ON THE PRINCIPLE OF ECONOMY IN THE LEARNING AND TEACHING OF MATHS
LEARNING TEACHING
2008/4/8
He [sic] [the 'ideal mathematician'] can think of no condemnation more damning than to say of a student, "He doesn't even know what a proof is." Yet he is able to give no coherent explanation of what ...
One of the fascinating things about seeing other people discuss ideas I have worked on, is the way individuals stress some aspects and ignore others. It provides a useful reminder of Proust's remark, ...
Rafael Nunez kindly forwarded George Lakoff's Commentary on Dehaene to me (and others), and it raises deep and interesting issues to which I cannot resist responding. So I don't get your attention und...