Defining Infinity

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TedEdExplanation

As notation multiplying by "R" repeats it for infinity.

Amount of integers: 2(R(10)) Pick a number 0-9 and insert that, repeating forever.

Amount of decimals: 2(R(10)^2)

Amount of writable fractions: 2(R(10)^4) Pick 2 integers (numerator, denominator) and write them down. Of course, you can simplify. Also, there are decimals, so you have R(10)^2 numbers per num/dem. Then square to get your amount. The amount of simplified fractions is R(10)^4/R(9), because you divide by R(10)^4/R(9) for the amount of simplifications you can do.

So, technically, fractions seem to be the LARGEST infinity. We always multiply by 2 for negative numbers.

Back on more infinity later, this is all I can talk about right now.

there's too many. too many bagels.