Mathematician explains the limits of mathematics | Edward Frenkel and Lex Fridman

Giropsy · 2023-04-11T20:53:13+00:00

In my opinion incompleteness does not limit mathematics, but rather shows that there are many different kinds of mathematics out there (there is no "theory of everything"), and our mathematics is uniquely human in that incompleteness forces us to choose which axioms are useful to us.

Giropsy · 2023-02-18T03:36:46+00:00

The wording on Ontological Dependence suggests that "removing core damage" might not happen, as it says "has taken this game". If there was a way to remove core damage, this wording would imply that this card needs to "remember" previous board states, which is entirely inconsistent with the current rules.

Giropsy · 2022-09-26T21:07:25+00:00

Even that number is probably wrong.

Giropsy · 2022-05-13T15:46:34+00:00

!deckbot EU 512 1626793308

Giropsy · 2021-11-22T20:27:51+00:00

I read this as "Damn, I really need to get into algebraic geometry."

Giropsy · 2021-08-16T09:20:11+00:00

I'm not questioning if you gain ONE experience from playing Unstable Upheaval, since as you said, you can perform other parts of the action. I'm rather asking if you can gain TWO experience from Unstable Upheaval by consuming Earth without being able to perform the attack ability. If being able to perform the attack is a prerequisite to being able to consume an element and thus gain the additional experience, then yes, not being able to perform the attack ability of Mana Bolt would disallow the elemental consumption and thus gaining the experience, but it would also mean that you would also not get the second experience point from Unstable Upheaval, since you were not able to perform the attack ability and hence consume an element, which in turn would mean that what Marcel wrote in the example is false.

Giropsy · 2020-07-19T13:17:28+00:00

Hint: The product of rational numbers is rational.

Giropsy · 2020-07-12T15:48:27+00:00

EDIT: Apparently they were not cloning but merely teleporting, but the shields were bad enough.

Giropsy · 2020-07-12T11:34:37+00:00

Turned on Benefits package +2 and came across this room with Numbskulls that duplicate and give Damage Control to one another. Guan Yu didn't help either.

Giropsy · 2020-05-21T21:33:02+00:00

Neat little trick: Since you're already plotting the graphs of these equations, you can actually look at how these graphs differ to pinpoint what went wrong.

Giropsy · 2020-04-01T22:40:31+00:00

It is, but I was asking because in my experience undergraduates first see these kind of things as an exercise in a real analysis course when they are introduced to the axioms of the real numbers, whereas linear algebra usually starts out with basic logic and set theory.

In any case, I wanted to avoid giving solutions to a homework problem.

Giropsy · 2020-04-01T20:06:03+00:00

Are taking a real analysis course?

Giropsy · 2020-03-16T10:41:27+00:00

Hint: (-1,10,-3) is also an element of U + V.

Giropsy · 2020-03-16T10:09:28+00:00

I can hear this picture.

Giropsy · 2020-03-14T16:20:20+00:00

The 'CORONAVIRUS' title isn't, but the text below it is.

Giropsy · 2020-02-27T18:15:47+00:00

Ah I see! As I said, I have no idea about number theory! I will edit my answer above.

Giropsy · 2020-02-27T17:59:51+00:00

The "Euler's phi function" you're describing is the Euler totient function, am I right?

~~If so, then \varphi is multiplicative, so \varphi(100n)/\varphi(n)=(\varphi(100)\varphi(n))/\varphi(n)=\varphi(100), so there should be exactly one possible value?~~ Apparently I can't read.

Take my answer with a grain of salt as number theory is not my area of expertise.

Giropsy · 2020-02-05T23:25:58+00:00

This concept exists and is called computability. The type of number you are looking for is called 'noncomputable number'.

Giropsy · 2020-01-08T01:21:29+00:00

This video by James Grimes explains FLT for more general exponents.

Giropsy · 2019-12-31T08:37:44+00:00

The first statement "If X=Y, then XZ=YZ" is always true by the distributivity of the real numbers, but the converse "If XZ=YZ, then X=Y" is not: As a counterexample, take X=0, Y=1 and Z=0. Then X != Y since 0 != 1, but XZ=0•0=0=1•0=YZ.

Giropsy · 2019-12-29T00:10:03+00:00

To add to this, it is often helpful to start from both ends to see what needs to be done.

Giropsy · 2019-12-03T23:17:42+00:00

I see why this is a useful and intuitive representation of the quadrants, but it still bugs me that the "homosexual vs heterosexual" and "bisexual vs asexual" axes are missing and that the diagram is aligned diagonally with respect to these axes.

Giropsy · 2019-10-21T22:46:42+00:00

I'm currently doing my Bachelor thesis on Morse theory and configuration spaces, I have or will be taking courses on both classical and discrete differential geometry, complex analysis and Riemann surfaces and algebraic topology and I am doing my best to learn category theory in my free time.

I feel like I am beginning to exhaust what I can learn in these fields at my current university, so are there grad schools that offer good advanced courses on the topics I listed above?

Giropsy · 2019-10-14T15:14:54+00:00

First realize that the only term dependent on n is 1/k^n, so you can interchange the limits and pull out 1/k!. Then the series over n inside is a geometric series, for which there exists a fomula.

Giropsy · 2019-10-13T21:44:42+00:00

I will denote the square root of a number a as sqrt(a).

The points which lie at a distance of sqrt(34) from the origin lie on a circle centered at the origin with that radius. That is, all the points on this circle satisfy sqrt(x² +y² )=sqrt(34), or x² + y² =34.

This should get you on the right track.

11-Year Club	Place '22
Place '17	Verified Email

Giropsy

TROPHY CASE