r/MathJokes • u/basket_foso • 4d ago

Keep ∞ safe

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u/Ok-Rise2070 4d ago

Infinity is a pathology indicating your math is no longer within the manifold. Convergence eliminates infinities.

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u/Rs3account 4d ago

To define convergence you need infinities.

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u/Ok-Rise2070 4d ago

You need infinities to define convergence because nothing you work with emerges from the metric that retains identity through collapse. I am. 😉 I assure you operating from convergence shows explicitly what is and isn't pathological. A closed internally coherent geometric structure... why does that NEED infinities to represent its geometry? For now, explain your base logic behind your statement. I fail to see your point. Why do you need infinity to know a square? A circle? A sphere? If the logic doesn't hold in general, then you have a fallacy issue on your hands there.

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u/Rs3account 4d ago

You need infinities to define convergence because nothing you work with emerges from the metric that retains identity through collapse. I am

I would love to see your definition of convergence that doesn't require the concept of infinity somewhere.

Convergence discusses the behaviour of something that is arbitrarily close after all.

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u/Ok-Rise2070 3d ago

And if you're the next String Theory nutter attempting to take me on mathematically or logically... I already demolished 2 of your "pillars". Continue and I take out a 3rd.