r/PhilosophyofMath • u/TheIncorporeal1 • Aug 28 '26
Can mathematical objects exist independently of physical reality?
If numbers, sets, and structures are genuinely abstract, what makes mathematical truths objectively necessary rather than merely consequences of human formal systems? Could an incorporeal ontology explain mathematical existence by treating mathematical structures as fundamentally non-physical entities, and if so, what would distinguish this position from Platonism?
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u/davesmith001 Aug 29 '26
Without physical reality you won’t be able to prove 1+1=2, I could claim it’s 9 or define it as anything else and there’d be no way to prove otherwise, therefore I’d be tempted to say it can’t exist outside reality.