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If we take very seriously the common view that Aristotle claims that every immediate premise of a demonstration expresses something about an existing entity, then one may well wonder how the principles of demonstration, axioms and posits, can be premises of demonstrations.
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That is premises of (k' not subset ) premises of k (i.e. growth of k is non-monotonic).
That proposal is premised on suspicion of the immigrant.
Christianity is premised on the fact of the incarnation.
"They were premised on false promises of a quick payoff.
It is premised on a dearth of self-respect.
Festival culture itself is premised on unbridled freedom of expression.
The children of a node are the premises of the rule being applied at that node.
Which, don't forget, is supposed to be the premise of this whole thing.
And I was like, "Man, I think that might be the premise of the album".
What are the premises of some of the games described in the article?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com