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>mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to
by ineedasername 3y ago
>mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality
In the context of the Godel Incompleteness Theorem I have always found it difficult to reconcile mathematics w/ an objective reality. A mathematical system would simply be incapable of completely encompassing objective reality.
- mensetmanusman 3y agoWhat is the opposite of an objective reality?
- ineedasername 3y agoI don’t know, but an objective reality could exist without it being fully accessible to us or directly corresponding to our mathematical systems. I guess the opposite would be something like solipsism though.
- mensetmanusman 3y agoSolipsism assumes the objective reality of the self.
- ineedasername 3y agoThat would fit though, wouldn’t it? Objective reality == exists independently of the self. Solipsism == only the self is a given. At the very least it’s opposite-ish. And if not, then I simply don’t have a better answer, but it wasn’t my question to begin with.
- mensetmanusman 3y agoIt seems that it builds towards your questions though, and we would be better off if we could come to some agreement on objective reality. Although I understand it’s unlikely philosophers will ever agree on what reality is.
- cubefox 3y agoGödel was a platonist btw.