so sexy

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something so sexy needs to be marked as NSFW

technically yes, but the proof would usually show that this works by constructing the bijection of [0,1] and (0,1) and then you’d say the cardinalities are the same by the Schröder-Berstein theorem, because the proof of the latter is likely not something you want to demonstrate every day

even if that’s not how you can write it, one gets the same issue in yours subtracting infinity from both sides

it’s actually Vulcan

ah, but don’t forget to prove that the cardinality of [0,1] is that same as that of (0,1) on the way!

no, there aren’t enough integers to map onto the interval (0,1).

probably the most famous proof for this is Cantor’s diagonalisation argument. though as it usually shows how the cardinality of the naturals is small than this interval, you’ll also need to prove that the cardinality of the integers is the same as that of the naturals too (which is usually seen when you go about constructing the set of integers to begin with)

actually you can for each real number you can exhaustively map a uninque number from the interval (0,1) onto it. (there are many such examples, you can find one way by playing around with the function tanx)

this means these two sets are of the same size by the mathematical definition of cardinality :)

j’imagine qu’on peut militer en faveur de la reconnaissance du concept, avec l’intention que ça change comment on conçoit nos politiques

I’m not sure what source other than the bible you propose to answer a question on Christain doctrine?

and that’s why you can see that once the person has gone to school they protest (in the next panel)

you then can see in the panel after they protest that they become the parent, telling their child to go to school. presumably because they forgot what they learned at school (or because they think school is the best way for children to learn about these things - which seems a little less likely)

I like my potatoes raw thank you very much

every dollar you raise, the fewer customers you get. the point is that you should want to raise the price whenever the relative drop in customers is less than the relative increase in price to maximise profits (where marginal cost is marginal benefit :) )