If numbers are infinite, and they can get infinitely smaller, then how is it possible that we can touch anything? Wouldn’t the distance between my foot and the floor, for example, just keep getting infinitely smaller?

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If numbers are infinite, and they can get infinitely smaller, then how is it possible that we can touch anything? Wouldn’t the distance between my foot and the floor, for example, just keep getting infinitely smaller?

In: Mathematics

8 Answers

Anonymous 0 Comments

In a mathematical sense…

What you are describing is when things get asymptomatically closer. Like, you cut the distance between them by half every second, they never actually touch.

When you put your foot down, they get closer in a linear way. Like, they get a centimeter closer every second. Eventually, they crash together and touch.

In a chemistry sense…

The electrons in your atoms repulse the electrons in the thing you are touching, so you really never completely touch something unless it chemically combines together.

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