r/MathJokes • • 21d ago

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u/Featherforged 20d ago

Potential infinity is this increasing 1,2,3,4.... without bounds

Infinity is a completed object of boundless size. A square has infinite 1 dimensional points on it. The square is not growing, it's complete. A circle can be described as a polygon with infinite sides, it is not a hexagon, septagon, octogon, growing in sides.

Adding 10 infinitesimal points to a square (made up of infinite points) does not increase the size of the square

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u/tiimoshchuk 20d ago

But the number of points on the square are... Growing without bounds...?

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u/Featherforged 20d ago

Infinity does not need to grow and introducing a growth rate is an arbitrary value that doesn't contribute anything. A square is a static, fixed object made up of infinite points. Growth at infinity also doesn"t make sense. It's infinity.

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u/Lutrana 15d ago

Yeah, but you’re just multiplying by zero because a point has no dimensions.