/sci/ - Science & Math

>>15309757
>Could a "perfect circle" even be possible in the World of Forms? All circles depend on π, an irrational, transcendental number - it has potentially infinite digits and to suggest that infinity could be actual anywhere just sounds insane. "Perfect circle" suggests "actually infinite pi", because a perfect circle is formed on the basis of perfect information, which includes "actually infinite pi". "Actually infinite pi" doesn't appear possible even in the World of Forms. Therefore "Perfect" circle also doesn't appear possible in the World of Forms.

>>Huh? Aren't forms literally perfect by definition?
>They should be. However we say that pi is an irrational yet transcendental number. That "irrationality" even subsists in the World of Forms goes against the Platonic spirit. Pi just appears to be the madman that just won't stop ranting and this is true in all possible worlds.

>To say "actually infinite pi is in the world of Forms" suggests there is such a thing as a perfectly rambling madman in a realm where there should be perfection. That makes the meaning of perfection meaningless.

Aristotle is a necessary prerequisite for Descartes, Galileo, Kepler, Newton and Leibniz and Kant (alongside other German idealists) is a necessary prerequisite for Einstein and quantum mechanics. There would be none of the modern scientists without the metaphysics of the old philosophers (and they would be mere number crunchers), because the modern scientists depend on the old philosophers' concepts to theorise about the world.

Could a "perfect circle" even be possible in the World of Forms? All circles depend on π, an irrational, transcendental number - it has potentially infinite digits and to suggest that infinity could be actual anywhere just sounds insane. "Perfect circle" suggests "actually infinite pi", because a perfect circle is formed on the basis of perfect information, which includes "actually infinite pi". "Actually infinite pi" doesn't appear possible even in the World of Forms. Therefore "Perfect" circle also doesn't appear possible in the World of Forms.