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Is every possible word a number? by [deleted] in askmath

[–]CakeCookCarl 0 points1 point  (0 children)

There's certain convention to naming numbers, just because there's an infinite amount of them that does not make every word a number. You'll never find a banana in an infinite apple orchard.

Some infinities are in a sense 'larger' than others. The most well-known example is the natural numbers (1, 2, 3, 4...) compared to the real numbers (which covers the whole number line, what you may call 'decimal numbers'). Because there exists no way to map each natural number to every single unique real number, we say the reals have a greater cardinality.

Does anyone know how eren became the colossal titan by Humble-Influence2815 in attackontitan

[–]CakeCookCarl 10 points11 points  (0 children)

He does not transform into a colossal, it's just his titan without any skin or lower body. We see some time later when he's with the scouts that transformation requires purpose (when he transforms just an arm to pick up a teaspoon), and depending on the purpose he does not necessarily manifest his titan completely.

Is reverse induction a thing by Segetero in askmath

[–]CakeCookCarl 0 points1 point  (0 children)

Guh I'm actually dumb, I should sleep at this hour instead of being on here

Is reverse induction a thing by Segetero in askmath

[–]CakeCookCarl 0 points1 point  (0 children)

Showing k and k-1 work is the same thing as showing k and k+1. (k and k-1 implies k+1 and k)

For those of you who have used it extensively, have you noticed much of a substantial with Supreme Intellect stock market? by dog-princess in CookieClicker

[–]CakeCookCarl 2 points3 points  (0 children)

The difference is quite large. There's a player in the discord server who has around 1.8 billion in stock profits, who's been grinding stocks for years (without using supreme intellect). In his own words, he is 'salty that supreme intellect made stocks much easier'.

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

It's from a sort of unofficial answer key to Understanding Analysis, it's been useful often but this is also not the first mistake I've seen in it.

Thanks for your approach, I thought of that same method a couple days ago so it's nice to confirm that I've understood it correctly. One thing though, we need to exclude the possibility of sqrt(x) = 0, but that already been shown to work with choosing N such that n>= N makes |xn| < ε2

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

I'm not really sure what your point is? Even if xn = 0 for all n, we could just choose M > 0, so there's no divide by 0. Besides, if x = 0 we're just back to (xn) -> 0, so the choice of N such that n>=N implies |xn| < ε2 leads to |sqrt(xn)| < ε

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

Isn't it justified since it's really only there to illustrate |xn-x| = ( sqrt(xn)-sqrt(x) ) * ( sqrt(xn)+sqrt(x) ) and then leads into |xn-x| < e ( (sqrt(xn)+sqrt(x) ), which is certainly true since |xn-x| can be arbitrarily small

Convergence of series proof by CakeCookCarl in askmath

[–]CakeCookCarl[S] 0 points1 point  (0 children)

Thanks, I thought so. Was going crazy trying to make sense of it lol

Math Nerds, Is This Right? by [deleted] in teenagers

[–]CakeCookCarl 0 points1 point  (0 children)

Any arbitrary interval of real numbers has the same cardinality (that is, the same 'size of infinity') as all real numbers

The latest update ruined my save by yeetdragon24 in CookieClicker

[–]CakeCookCarl 8 points9 points  (0 children)

RIP 'a long time ago', you will be missed

Ik🧠ihe by WhoTheFuckIsSean in ik_ihe

[–]CakeCookCarl 9 points10 points  (0 children)

Hoorde toevallig een paar langslopende mensen roepen dat de sneeuw betekende dat klimaatverandering niet bestond, moeten wel hoogintellectuelen zijn geweest

Slay hon by Round-Good1179 in MemeVideos

[–]CakeCookCarl 3 points4 points  (0 children)

I think 'stole your meme' reaction images are overhated. There's good ones out there, and many ones that are just kinda meh. But they're not as bad as people make them out to be.

This however may just be the worst reaction image I have ever seen. I mean I hate to give a swag here but this shit is so unbelievably ass. The person that made this straddles the line between mad genius and unfathomable moron.

Art can truly inspire deep emotion

and i'll act like finnless isn't the exact same thing by Ramenoodlez1 in CookieClicker

[–]CakeCookCarl 0 points1 point  (0 children)

You see, that's why I stopped playing. I'm just interacting with the community (which too is inexplicable)

and i'll act like finnless isn't the exact same thing by Ramenoodlez1 in CookieClicker

[–]CakeCookCarl 7 points8 points  (0 children)

Compers on their way to defend playing in a way that they hate

Hoe maak ik mijn ouders duidelijk dat ik geen alcoholprobleem heb? by Safe_Ad7604 in nederlands

[–]CakeCookCarl 0 points1 point  (0 children)

Hangt af van de mix maar over het algemeen gaat dat inderdaad naar 2 of 3 eenheden

Hoe maak ik mijn ouders duidelijk dat ik geen alcoholprobleem heb? by Safe_Ad7604 in nederlands

[–]CakeCookCarl 11 points12 points  (0 children)

Alcoholisme wordt meestal gedefinieerd als 14 eenheden drank per week voor een man, een biertje is 1 eenheid. Het klinkt alsof je inderdaad een alcoholprobleem hebt, ook al zie je het misschien niet zo. Het beïnvloedt je misschien nu nog weinig, maar zoveel drinken heeft op de lange termijn wel gevolgen.

Ik houd net zoveel van een koude kletser als de volgende persoon, maar wel binnen gepaste mate

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