On 10/26/2018 1:03 PM, Philip Thrift wrote:
On Friday, October 26, 2018 at 2:33:13 PM UTC-5, Tomas Pales wrote:
On Friday, October 26, 2018 at 8:06:03 PM UTC+2, Bruno Marchal wrote:
OK. But it seemed to me you said that is better not to make
unnecessary assumption.
My only ontological assumption is that existence is logical
consistency. This assumption gives rise to the set-theoretic
multiverse, and I don't mean just ZF or ZFC but all consistent
versions of pure set theory. You add assumptions that restrict
this set-theoretic multiverse to arithmetic.
"Logical consistency" is likely not needed for existence.
https://plato.stanford.edu/entries/dialetheism/
Logical consistency is a relation between sentences. It's not about
existence. The sentences might be about the existence of something, but
that's different. Or the sentences may have variables quantified by
existential quantifiers, but that's different too. To say logical
consistency is needed for existence would be a category error.
Brent
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