5
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Is Intuition Indispensable in Mathematics?
You may be confusing the concepts of Intuitionism and metalanguage. It is the latter that - implicitly or explicitly - underpins all work in mathematics and of course especially in logic. The ...
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4
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Is Intuition Indispensable in Mathematics?
No. Nearly all mathematicIANS rely on intuition, however; despite the stereotype of the pure mathematician being entirely dissociated from reality, nearly all "realized mathematics" is ...
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2
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Is Intuition Indispensable in Mathematics?
If we're using something like one of the normal(?) variants of an indispensability argument via ontological commitment-mongering, wouldn't the form of the reasoning look something like:
Our best ...
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2
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Is Intuition Indispensable in Mathematics?
You ask:
Is Intuitionism Indispensable in Mathematics?
No. Mathematics existed and functioned very well before Brouwer introduced intuitionism in mathematics (SEP) and Dummett went after classical ...
- 31.5k
2
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Can Balaguer’s argument we don’t, and couldn’t, have any good argument for Platonism or ficitonalism in math extend to realism/antirealism in general?
I see no issue in extending Herr Balaguer's argument beyond mathematics, to other/the whole ontological domain(s). His condition for existence is clear-cut: For x to exist, it has to be consistent (x ...
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