commonsense wrote: ↑Sun Feb 09, 2025 8:32 pm
Knowledge is justified true belief. Proof is a form of justification. Without proof, an alternate form of justification might be able to verify JTB, if such a method were to exist. Hypothetically, such a form of justification could exist unrecognized by humans. Do you know of such a form of justification? One can presume that your AIs do not.
I for one can only conclude that hypothetically it may be possible to know something is true without proof.
Somewhat agree.
Godelian is too dogmatic in insisting 'proof' is confined only to Mathematics. This is immature and not wise.
Yes, 'proof' in general usage means justification.
But 'justification' has to be conditioned upon a specific human-based Framework and System [FS].
If a claim meets all the conditions of the FS, then it is 100% true [JTB] as qualified to the FS or lesser degree of truth is it meets less of the conditions.
For example, Pluto is not a planet but 100% true as a dwarf planet because the IAU said so, in accordance to its conditions.
All domains of knowledge [JTB] has it own specific conditions, e.g. Science, mathematics economics, history, legal, linguistic, politics, finance, art, sports, etc. Each sub with the fields will have their sub-FS.
If a claim meets all the conditions of the specific FS, then it is proven to be 100% true as
qualified to that specified FS, but it cannot be 100% true upon other FS.
Based on a rational rating methodology, the scientific FS [at is best] is the most credible and objective, thus taken as the Gold Standard all other FS are compared against.
So 'proof' i.e. FS-proof is a form of justification with varying degrees of credibility and objectivity.
Godelian is too dogmatic in insisting 'proof' is confined only to Mathematics. This is immature and not wise.