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That is an assumption. We do not currently know of any process by which we might explain these axioms; but: 1. We may still glean insight by reflecting on the
by moonchild 5y ago
That is an assumption. We do not currently know of any process by which we might explain these axioms; but:
1. We may still glean insight by reflecting on them, and
2. There may be unknown processes by which we can explain these axioms
- deltaonefour 5y ago1. All axioms are assumptions. 2. You mean Logic? The foundation which axioms and theorems themselves rely on? Logic is like a recursive axiom. We assume logic is true (aka an axiom) then, logic allows us to create axioms themselves and build theorems off the axiom. The thing with logic is that it's almost a thought driven endeavor. We don't need to observe the world to go deeper. But we can't. The buck ends here. To answer the question "why?" we have to go deeper, but there's nothing left.