There is a sense in which infinity is the most finite concept, that it turns more than a trillion unfathomably large numbers into one tiny easy-to-digest idea... like a thought-terminating cliche of >

Love it.

And the opposite is true of zero. It turns nothing into something.

Infinity is not a number . (oblig. Numberphile)

Clearly you've never listened to mathematicians talk about infinities. Things get weird when you try to develop concepts around the inconceivably large and small. If infinity is a thought terminating cliche from your perspective, my suggestion would be to change your perspective.