I think that the appearance of truths depends on the modalities of sense and sense-making that are available. Sanity can only either be a subjective illusion or a meta-subjective sense of congruence with that which is meta-subjective.
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Truth is a feature of thinking, but thinking is not a feature of truth.
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Not really Phil. There are several systems of constructive maths that are not platonistic. Per - Martin Löf's or Brouwer's intuitionisms, for starters.
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How is the view of mathematical "truth" changed by the set-theoretic multiverse (https://arxiv.org/abs/1108.4223 ), via http://jdh.hamkins.org (Professor of Logic, Oxford University)?
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What's wrong with the 'realm of Platonism'? You don't have to agree that all maths is in the Platonic realm. It's perfectly reasonable to see some maths as discovered, and other maths as constructed - with quite a bit both constructed and discovered; like a shell sculpture.
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Mathematics are measurements, measurements are thread's not the tapestry.pic.twitter.com/7RYxgNJB8X
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It depends on how the term “truth” is being defined. If the definition is equivalent to “objective” truth, then it is always a false assertion. The only use of the term “truth” with any scientific or philosophical validity is when it is used to describe movement towards ... 1/
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2/2 ... objective reality. As in heading “true North”.
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We need to make some distinctions here. Logic is true by definition. Math? Arithmetic and geometry have an inextricably intuitive dimension. Kant was right about that much, he just shouldn't have limited geometrical intuitions to Euclidean space.
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I am a mathematical Platonist, as it happens. But still have a lot of trouble understanding how values could possibly be objective!
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