Hello Caleb,
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Also, presuppositions can be proved, unlike axioms.
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It almost seems oxymoronic to speak of a "proven" presupposition. A presupposition is a "pre" -supposition. Of course, you may be using the term in a different sense than I am. I think of presuppositions as something assumed by which other things are proved, and itself is not proved. One can present arguments for and against certain presuppositions. As to whether or not this constitutes a proof depends on how broadly you are using the term 'proof'. However, if you use it in a broad sense, then one can easily apply this to an argument justifying a certain axiom.
What do you think?
Brian