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He said that fact-checkers brought their own sets of thoughts and beliefs to their work, and that the campaign stands behind its ads.
Thus sets of thoughts of a concrete deity are concrete.
The differences that Frege insists on over and over again between the sets of sentences (AX) and the different sets of thoughts (AXG, AXR etc).
For the same reason, two sets of thoughts that are structurally similar in the sense that they can be expressed, under different interpretations, by the same set of sentences, can differ with respect to Frege-consistency.
Because consistency as Hilbert understands it applies to the "scaffolding" of concepts and relations defined by AX when its geometric terms are taken as place-holders, the consistency he has in mind holds (to put it in terms of thoughts) of AXG iff it holds of AXR, since both sets of thoughts are instantiations of the same "scaffolding".
The more-substantial criticism flows naturally from this terminological critique: Frege takes it that once one disentangles Hilbert's terminology, it becomes clear that he is simply not talking about the axioms of geometry at all, since the sets of thoughts he actually deals with are the misleadingly-expressed thoughts about e.g. real numbers.
Similar(53)
Miller has produced several sets of thought-provoking science images.
Jennifer Raff has a nice set of thoughts and links.
The sociologists gave the first set of thoughts.
One set of thoughts on this topic is here.
That gave defenders an extra set of thoughts to process on each play.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com