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Tagged with foundationalism philosophy-of-mathematics
4
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How many variations on graph-theoretic/related parameters indicate alternatives to foundationalism/coherentism/infinitism?
The set theory I'm trying to work in right now is geared towards applying an "axiom of multifoundation" whose local maximum representation is:
The interpretation of the elementhood glyphs ...
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Alternatives to Axiomatic Method
In his article The Pernicious Influence of Mathematics upon Philosophy (see Chapter 12 of this book) Rota says (my emphasis),
The axiomatic method of mathematics is one of the great achievements
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user13627
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Are "being 1" and "being 2" basic concepts of our mind?
Everytime a mathematician uses the concept of function or relation he is dealing with the concept of "being 2": he's relating one object to another.
Everytime we use a logical conjuction we are ...
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Is illogical = not logical?
I think law of excluded middle makes sense to mean that a statement should be either logical or illogical but in this case I don't assume "not logical" = "illogical" since the author didn't say "...
