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There are an infinite amount of numbers between 0 and 1 meaning that it is impossible to reach the number 1 since you would have to cross infinity to reach it. amirite?

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That depends on what you mean by "reaching 1".

If you try to count all real numbers between 0 and 1, then yeah, you're never going to end.

If you keep summing a constant amount to zero, then you're going to reach it eventually.

Wrong.....count on your fingers or toes.

Um doesn't 1 come after 0 what smilie

Nope... this is another paradox akin to Zeno's paradox of Achilles and the tortoise.

An infinite number of infinitesimal intervals can add up to a finite interval. It's done in integral calculus all the time.

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