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> Axioms don’t somehow superseded Mathematics. This is a mistaken understanding. Axioms define the logic of Mathematics. E: I guess I may have misinterpreted.
by lcnPylGDnU4H9OF 4y ago
> Axioms don’t somehow superseded Mathematics.
This is a mistaken understanding. Axioms define the logic of Mathematics.
E: I guess I may have misinterpreted. I mixed up “supersede” with “precede” in my head. I mean to say axioms are a precursor to logic systems. The axiom has to be agreed upon before any truthful statements can be made.
- Retric 4y agoNo, axioms are part of any truthful mathematical statements. If A, B, C … then Y is a self contained true statement. You can’t simply say Y alone is true because without A, B, C, … it’s not true. People tend to assume A, B, C etc when they say things like 1 + 1 = 2 but that’s just a quark of language. Words like him or they work because people can work out the specifics from context.
- lcnPylGDnU4H9OF 4y ago> If A, B, C ... then Y is a self contained true statement. This phrasing helps me to see your point; gives me something to think about. Thanks for your patience in explaining! I enjoyed the conversation.