Are All Infinities The Same Size?

ToraToraTora | 11:41 Sun 09th Jul 2023 | Science

23 Answers

There are an infinite number of numbers between 1 and 2. There are an infinite number of numbers, thus the latter is bigger than the former. This is just my example but don'y take my word for it...........
https://www.scientificamerican.com/article/strange-but-true-infinity-comes-in-different-sizes/

Thought Experiment Time.......

Long Number With Special Property

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ClareTG0ld

Best Answer

To show that there are more real numbers between, say, 1 and 2 than there are whole numbers between 1 and infinity, you can try the following exercise: 1. List all the whole numbers (obviously this is impossible, but the point is that you could, in principle, list them: 1, 2, 3... and so on). 2. For each whole number you've listed, pick a real number between 1 and 2...

20:20 Sun 09th Jul 2023

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ToraToraTora

Question Author

some mind blowing stuff, BA to CTG, thanks.

astrobestpandit

The cardinalities of various infinite sets can vary, with some being larger than others.

bobbinwales

...and therefore some are smaller than others. So whats the smallest infinite set??

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