[FOM] Fictionalism About Mathematics
panu.raatikainen at helsinki.fi
Tue Mar 13 05:11:14 EDT 2012
Lainaus "Harry Deutsch" <hdeutsch at ilstu.edu>:
> This comment is the essential point. If mathematics is a fictional
> story, what (who) determines what is true in the story? In fiction
> the author is the absolute authority, but that does not, of course,
> seem true of mathematics.
The Pythagoreans could not simply stipulate that all measures are
ratios of natural numbers, as firmly as they thought that is the case.
The discovery of the irrationality of the square root of two
demonstrated that this is just false.
(Not that I believe that sophisticated fictionalism could not deal
with this case)
Ph.D., University Lecturer
Docent in Theoretical Philosophy
Department of Philosophy, History, Culture and Art Studies
P.O. Box 24 (Unioninkatu 38 A)
FIN-00014 University of Helsinki
E-mail: panu.raatikainen at helsinki.fi
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