I think the main thing that mathematical finitists get wrong is that numbers “actually” exist—let alone ought to be a certain way.
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Replying to @InertialObservr
As a finitist, I just prefer my theories stay within the realm of things hat can be explicitly exhibited. It's helpful that I can do lots of calculus in the context of this perspective tho, otherwise I wouldn't be wasting my time.
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Replying to @InertialObservr
Finitist that doesn't provide new pathways to old problems is a waste of time, but actually lots of beautiful math is possible without reals or limits. Obvs twitter is not the place to provide through evidence to this claim, but I intend to do it in the right medium.
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Replying to @Abraximus1729
the notion of infinity though in calculus is really nothing more than what finite approximations are tending towards?
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Replying to @InertialObservr
But we get exact answers for Tangents and integrals in the majority of cases. This suggests that there is an exact method to obtaining these results that doesn't rely on approximations. Lagrange showed it for Tangents in his 1797 work "theory of analytic functions".
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That’s an interesting point
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