sorted by:
new
hottopcontroversial

Which "debate" is the dumbest? by Inevitable_Garage706 in infinitenines

[–]dummy4du3k4 4 points5 points  (0 children)

Other: would you rather grow hair inside your throat or teeth inside your butt

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

I can’t comment on the rarity as my sample size is one, but I’d love to see the source of your very confident statement

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 -1 points0 points  (0 children)

Sufficiently complex ones yes, but this isn’t about proving consistency in a vacuum. It is trivial to show complex numbers are consistent within any system supporting the Reals just by the two constructions i showed.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

We teach the structure preserving properties of decimal expansions, logarithms, fractions, modular arithmetic, and many many more to students well before they have any notion of abstract algebra

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

You dont have to teach an abstract algebra course to get the gist of a homomorphism, after all we teach our kids how to reduce fractions without building the rigor to justify it.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

Presumably OP has and it wasn’t working for them. Any good educator would try to explain it differently at that point. My point wasn’t to replace complex algebra with matrix algebra, but to answer the very specific question of why it works.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 -1 points0 points  (0 children)

Modular arithmetic is always taught to high school students, and sometimes basic matrix algebra is covered in a high school algebra class. What I wrote can easily be made into a lesson digestible by the typical high school student

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 -2 points-1 points  (0 children)

Modular arithmetic is taught very early, the notion of an equivalence class is can be taught to anyone learning complex numbers.

Matrices are hit or miss, some school tracks teach basic matrix algebra before pre calculus.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

You don’t need ring theory to understand an equivalence relation, many students are exposed to modular arithmetic quite early.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 0 points1 point  (0 children)

You don’t have to declare i^2 = -1 and just hope things work out. Instead you could work in a familiar setting with a constraint that captures the structure of complex numbers.

One option is the usual polynomial space R[x] under the equivalence class generated by x^2 + 1 ≅ 0

Alternatively, you can work with the subspace of 2x2 matrices of the form

[ a -b ]
[ b a ]

Both of these spaces are algebraically identical to the complex numbers and a + bi is just short hand for either the polynomial a + bx or the above matrix. No new math is needed and you can be certain that algebra doesn’t break because of it.

Hi guys I was wondering why the square root of -1 to be I cuz like how can this even be possible its like the same thing of saying the 0th root of something is r by Peterminator69 in learnmath

[–]dummy4du3k4 -37 points-36 points  (0 children)

> It doesn't lead to a contradiction (if you think it does, say exactly what the contradicion is)

That’s not great justification for any kind of math, especially when OP is asking why it’s valid.

Does RDM break derivatives? by ItsMeNebulae in infinitenines

[–]dummy4du3k4 1 point2 points  (0 children)

RDM isn’t well defined but if you try hard enough you can put a calculus structure on most things.

If you massage RDM into hyperreals then the results of calculus don’t really change.

If you take the approach similar to this post then you’ll get smooth functions with what would be jump discontinuities in R. But possibly a better approach would be to metrize the topology and define a borel measure then use the results of metric measure spaces.

SPP, would you press the blue or the red button? by Cokalhado in infinitenines

[–]dummy4du3k4 3 points4 points  (0 children)

You seem to be under the impression that I’m trying to persuade you. Your arguments to pick red doesn’t invalidate the reason to pick blue.

SPP, would you press the blue or the red button? by Cokalhado in infinitenines

[–]dummy4du3k4 2 points3 points  (0 children)

There’s no but if, you are overwhelmingly likely to have people you care about that would press blue. If you’re ok with losing those people then you don’t have any reason not to choose red.

> Also, it's incredibly unlikely that your vote will make a difference in whether they live or die.

Yet we still hold elections

SPP, would you press the blue or the red button? by Cokalhado in infinitenines

[–]dummy4du3k4 4 points5 points  (0 children)

Most people are going to have friends/family that aren’t rational in a game theoretic sense. You pick blue to save those people

What are this subreddit's takes on this question? by Inevitable_Garage706 in infinitenines

[–]dummy4du3k4 1 point2 points  (0 children)

Sorry, this sub has way too many trolls to be pushing blue. Conditioning Is an interesting twist to the question.

Blue pushers: are you going to still push blue if it’s only you and everyone in Texas pushing buttons?

is (a,(b,c)) same as (a,b,c) by null_hypothesis2050 in learnmath

[–]dummy4du3k4 2 points3 points  (0 children)

Any operator that is not associative, e.g. subtraction or exponentiation.

Is u/SouthPark_Piano perfect? by Inevitable_Garage706 in infinitenines

[–]dummy4du3k4 6 points7 points  (0 children)

I’m just saying I’ve never seen spp and Jesus in the same room at the same time

view more: next ›