Science Memes

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A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.

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I just cited myself. (mander.xyz)

submitted 6 months ago by [email protected] to c/[email protected]

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[–] [email protected] 8 points 6 months ago* (last edited 6 months ago) (4 children)

0.(9)=0.(3)*3=1/3*3=1

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[–] [email protected] 6 points 6 months ago (5 children)

Mathematics is built on axioms that have nothing to do with numbers yet. That means that things like decimal numbers need definitions. And in the definition of decimals is literally included that if you have only nines at a certain point behind the dot, it is the same as increasing the decimal in front of the first nine by one.

[–] [email protected] 9 points 6 months ago* (last edited 6 months ago) (1 children)

That's not how it's defined. 0.99.. is the limit of a sequence and it is precisely 1. 0.99.. is the summation of infinite number of numbers and we don't know how to do that if it isn't defined. (0.9 + 0.09 + 0.009...) It is defined by the limit of the partial sums, 0.9, 0.99, 0.999... The limit of this sequence is 1. Sorry if this came out rude. It is more of a general comment.