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Pi is just an example, but I'm sure any irrational number would bring up the same idea. Any thoughts on this?

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Pi is just an example, but I'm sure any irrational number would bring up the same idea. Any thoughts on this?

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HallsofIvy

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Well, 3.141592653 is certainly longer than 3.1415, but 3.1415 isn't pi, so no, it isIf you were to imagine a line segment of length pi, I would guess it would have to be finite. But since pi is an irrational number, it has infinitely many decimals so can't you just keep sort of zooming in on the end of the segment so that it sort of keeps on getting longer indefinitely?

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Huh, are people aware that physical lines and geometric lines are two different things?exactly[tex]\pi[/tex]. The same applies for any irrational number.

Lines and line segments are abstract ideas. They're not what you draw on a piece of paper, nor are they anything that we see. To say that a physical line segment has irrational length is completely meaningless, as it is to say that a physical segment has some precise length.

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