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9649 | Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR] |
Full Idea: The three views one could adopt concerning axioms are that they are self-evident truths, or that they are arbitrary stipulations, or that they are fallible attempts to describe how things are. | |
From: James Robert Brown (Philosophy of Mathematics [1999], Ch.10) | |
A reaction: Presumably modern platonists like the third version, with others choosing the second, and hardly anyone now having the confidence to embrace the first. |