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Maybe you should begin by acknowledging the much that has already been done, since we are not reinventing the wheel. Relative to this, your question is not an open question as such, since the subject of category theory, usually described as the mathematics of mathematics, already exists. Firstly, I will make a point clear, that set theory is just a special ...


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While forcing does certainly have serious foundational consequences, I think this is a situation where bringing forcing into the picture makes things seem more mysterious and powerful than they actually are. Really there are two basic ways we can attach a modal logic to (roughly) a family of structures which are relevant to your OP; one yields a ...


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You can still praise God by stating "God is not limited by anything other than God" i may call "God is Almighty" but then don't be overwhelming by saying God unlimited can be impossible. This concept of "infinity" must be understood properly. On real life we can say infinite, unlimited as "Unreachable All at Once" It's ...


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There is no infinite, there is no "unlimited". There is only "not limited by something" Infinite asserts thing can exceed beyond itself without additional assertion from outside which is impossible. It's the way old philosophers trying to praise God is unwittingly trapped by impossibilities that injure the understanding of God's self. Any ...


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Are the axioms simpliciter well-ordered? Any finite or countable set can trivially be assigned a well-ordering. Simply list the elements of the set one by one, on integer-numbered lines, and the well-order is given by the number of each line. The axioms of ZFC are countable and so can trivially be assigned a well-ordering. https://en.wikipedia.org/wiki/...


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