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The Liar paradox is often informally described in terms of someone uttering the sentence: I am lying right now. If we equate lying with merely uttering a falsehood, then this is (roughly speaking) equivalent to a somewhat more formal, more precise version of the paradox that arises by considering a sentence like: "This sentence is false".
The post Lying, belief, and paradox appeared first on OUPblog.
By: Alex Guyver,
on 4/5/2015
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The collection of infinite Yabloesque sequences that contain both infinitely many Y-all sentence and infinitely many Y-exists sentences, however, is a much larger collection. It is what is called continuum-sized, and a collection of this size is not only infinite, but strictly larger than any countably infinite collection. Thus, although the simplest cases of Yabloesque sequence – the Yablo Paradox itself and its Dual – are paradoxical, the vast majority of mixed Yabloesque sequences are not!
The post Mixed Yablo Paradoxes appeared first on OUPblog.