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Understanding science: what we cannot know
Understanding science: what we cannot know

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5 The infinitely small

So far, you’ve looked at the infinitely big. You’ve seen that, while it initially seems counter-intuitive, it can be tamed with methodical proofs. The infinitely small is a different beast though. It’s not ‘nothing’ and it’s not ‘something’. It can have a position, but it cannot have any size. The infinitely small is akin to the coordinates on a graph or map, which have locations but no width (as they would then be in another point’s location).

This is a graph with an x,y coordinate axis.
Figure 8 Coordinates on a graph