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The square root of negative one is a good example.

I am currently looking at a finite plastic ruler. Finite is not good, oh my god we are all DOOMED! Better have a cup of tea then.

Infinity is not a number.

What number, or concept, or non-integer are they referring to in the text book definition?

If they knew the answer, don't you think they would have put it in the definition?

Numbers are always finite, real, imaginary, integer, non-integer.

I'm also curious: do you think there are a finite quantity of numbers on the number line?

What number, or concept, or non-integer are they referring to in the text book definition?Infinity, what else?

I guess that means that you can't say |1|>∞>0, since "greater than" and "less than" don't apply to non-numbers.

Mathematics a number greater than any assignable quantity or countable number (symbol ∞).

What was so hard about that?

I'm a very humble and patient person,

Apparently, the hard bit was understanding the definition.

I understand where the definition came from.

Yes, it came from Google.I said you didn't understand the definition. I didn't say you didn't understand where it was from.The rest of your posts prove my point.

Yes, it came from Google.

seeing the patterns in that infinity.

Where's our best lab? Here on Earth or in space to see the stars with more apparent clarity?