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Tagged with foundationalism axiom
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Does set-theoretic pluralism, about axiom systems, inevitably become an invitation to non-axiomatic systems of set theory?
Per Hamkins[[11][12]] (see also his [22]), if no individual axiom is too sacred to be denied in some possible world,Q and so if no collection of such axioms is so sacred either, yet then:
The ...
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Basic truths as self-justified or parajustified
Some foundationalists maintain that basic truths are self-justifying, which means they are allowing, in some exceptional cases at least, a form of circular reasoning; petitio principii or begging the ...
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What are the most rational basic beliefs?
I understand that this question might be difficult or even unresolved. But within a foundationalist view of knowledge, has anyone proposed a set of basic beliefs that seem to be the most rational for ...