Our math tells us that if you keep adding up all the positive numbers you get a negative.This proves that our math is clearly wrong and can't be trusted, doesn't it?
No. It means you are either shitposting or don't understand the = sign here isn't the = sign you are taught in playschool.
>>16938361>our>>16938362>= doesn't actually mean = goy
>>16938365> jam, pool, letter, bat, flysomething having a different meaning depending on context, that never happens right?
>>16938369>something having a different meaning depending on context, that never happens right?That's right chud, 2+2=5
>>16938362it is though
> 1 + 2 + 3 + 4 + 5 + 6... = -1/12The plus sign in that equation does not mean standard addition. It's a more obscure summation.
>>16938361> ... =Any equation you see with those symbols side by site only exists to troll your intuition. An infinite sequence can approach or approximate a rational number but it can't be exactly equal unless you have a different meaning of "equal" than I do.
>>16938504I feel like your meaning of "equal" may be at odds with your meaning of "infinite." What are they?
It absolutely does not.What you have seen is likely some kind of action where infinitely many items were sorted differently. this equation does not hold.A series can be reordered it converges. This one does not.The group axioms of addition only say can reorder finely many elements. Anything else, you need to prove the equality first.
>>16938361depends on the kind of math we are talking aboutI'm not too kind with manipulating infinities like its a numberalthough it seems to work in some fields
>>16938361please stop with the antisemitism
>>16938361>Our math tells usNah, regular math tells us an infinite sum of positive whole numbers:>can't be finite>can't be negative>can't be fractionAnything else is jewish physics seeing how far they can bend the definitions while keeping a straight face.
mfw I have never heard of the riemann rearrangement theorem
>>16938711Wait ignore this I'm an idiot its not that its just doing algebra wrong lmfaoBeen too long since I had to mess with series like this desu
>>16938361Show your work
>>16938949https://www.youtube.com/watch?v=w-I6XTVZXww
Reminder that Ramanujeet wrote that he was "dilating" when he came up with this shit.
>>16939027lol at the guy quoting a textbook which clearly shows that the summation of all integers approaches negative 1/12th as n approaches infinityThis could not illustrate the difference in definitions better in my opinion. They are just simply not understanding something about mathematics. “The sum of every integer equaling -1/12th” is not the same thing as “as n approaches infinity, the summation of all n approaches -1/12th”.Simple as, learn what makes those distinction.
>>16939428Neither of those things equals -1/12 tho
>>16939458The second one it’s a non-sequitur to introduce an equals sign with strict transitivity.For the first, THAT is the fucking point, moron.
>>16938361*sigh*https://www.youtube.com/watch?v=beakj767uG4
>>16939477Maybe I'm still too dumb to get your point. Neither the limit as n goes to infinity nor the completed sum equal anything but infinity
>>16939492The completed sum definitely goes to infinity. The other value as “n approaches infinity” is what they are contending would “approach -1/12th” unless of course you’re saying it would approach infinity in which case I would agree with you but it looks like you’re starting to understand their argument
>>16939499this
>>16938361Yes OP, in a sense you're not even wrong. There are many cases like this, a lot of bullshit you will run into like this. And you are very right in your reaction against them, to question them, and even outright reject them for the bullshit they are.Just make sure you also apply that attitude toward your own math as much as you apply it to others, and you will make a fine mathematician.
Also, asking if some schizobabble equation that doesn't even mean anything "breaks math" is like asking, "If I tell a lie in English, does that mean the English language no longer functions in its capacity to transmit information properly?"No.Next thread please.
>>16939499To approach something you need to be moving toward it. The nth partial sum is always farther away from -1/12 than the n-1th. Both ways of talking about just sound flawed to me
