This is the Realm of Simply Beautiful Art - 2018-01-09

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9:17 AM

@user21820 @amWhy I have just received the nice answer badge. I cannot tell you how depressing it is that this is my most popular site answer:

https://math.stackexchange.com/questions/2548192/defining-ei-theta/2548197#2548197

2 hours later…

10:47 AM

@DavidReed Why are you depressed? This site is annoying to experts for two main reasons: (1) They feel quite paralyzed whenever seeing a crank post or a conceptually wrong answer that has lots of upvotes; (2) They feel like questions and answers that they put significant effort into are hardly appreciated while some that they didn't are upvoted highly. Is that why you're depressed?

11:44 AM

@user21820 Actually visually you can see I put a lot of effort into it, because its important and really the best way of going about finding a definition for the complex exponential since it shows its the ONLY way to define it and not A way to define it.

Its depressing because its a boring and well circulated result

My other big hit is equally boring... :

8

A: What is the significance of deciding the convention of $1 \text{ radian} = 180 \text{ degrees}$ over $\pi$?

The big restriction is the differentiation formulas for $cos(x)$ ans $sin(x)$ only hold when $x$ is measured in radians. The definition of the radian is as follows : 1 radian is defined to be the angle that subtends an arc of length 1 on the unit circle. Using similarity of circles, you get the e...

I answered one of your earliest questions on this site that was unanswered. At least I provided a partial answer I suppose

2 hours later…

1:32 PM

@DavidReed Thanks for your answer, but it was so long ago that I have forgotten the proof of the primitive element theorem, and so I can't evaluate your answer very well now.

2:03 PM

@DavidReed Check out my most popular (most highly upvoted answers) on this site have been! It can be depressing, largely due to the articulation given by @user21820!

@DavidReed And thanks again for making me read the comments again, whence I realized I misread the MO post, making my comments 3 years ago invalid. I'm going to post a CW answer stating what is given on the MO thread.

Hello, @user21820! We seem to be missing each other, in real time, lately!

@amWhy Yes. Different time zones conspire, as usual, to separate the world. Divide-and-conquer strategy, they call it.

@DavidReed: For reference, here's my summary post:

0

A: When is $F(x+y) = F(x,y)$ for field $F$?

This is essentially the comment by KCd, answering my conjecture affirmatively if $\text{char}(F)=0$. As stated in this MathOverflow post, citing Isaac's paper, we have: If $\text{char}(F)=0$ and $[F(x,y):F] = [F(x):F]·[F(y):F]$ then $F(x+y) = F(x,y)$. In particular this implies but is st...

I can easily verify the counter-example and the implication, but definitely cannot verify the rest...

2:51 PM

@user21820 He clearly got it by playing around with the primitive element theorem, that is the "usual theorem" he refers to in the opening paragraph (of the actual article)

@user21820 It probably doesn't help matters that for about the past 6-8 weeks, I've been sleeping in a bit longer. Partly due to this semesters teaching schedule, and partly because it's so dark at 5, 6, 7 am (compared to summer sun-rises at 5 a.m. So I'm probably missing more interaction with you lately.

@user21820 still refers to the roots of the minimal polynomials, and has the expression $a_i -a = b-b_j$

@Mithrandir \o/

In any event my answer is pretty awful, I more gave it for people other than you based on the title of your post because finding a primitive element is a frequent homework problem

@amWhy Do you teach introductory real analysis?

Not this semester. This semester I'm teaching a 400-level undergrad course in Abstract Algebra, and a graduate course in logic (required of all first year grad students, though it basically seeks to develop a very good handle of upperlevel undergrad/intro to grad level logic. You'd be surprised how poorly a grasp many incoming math-grad students have on logic!!

3:03 PM

Math professors as well actually

Many don't bother with it

Apart from teaching duties, I'll be working with Alison Wylie from U. Washington to flesh out, and begin writing, on a book regarding the existence, or lack thereof, of a feminist philosophy of math. (Extensive work has been done in this respect, re the philosophy of science; but little work in philosophy of math. It will deal not only with traditional philosophy of math (which it certainly overlaps), but also an epistemological angle of math

You most certainly HAVE to include Emmy Noether

@DavidReed Emmy who? :D Of course!

So long, @user21820... I'll leave you alone for awhile.

Actually I don't think I have any idea of what the phrase "feminist philosophy of math" would mean. She gained a lot of traction and respect in a time where the notion of a female academic would have been scoffed at. I still intend to go through "Noether's Theorem", for which Einstein called her the most important female mathematician in history :). Having to go through lagrangian mechanics is the only reason I keep putting it off.

So what would a feminist philosophy of math entail?

@user170039 would likely love to discuss this with you

@amWhy I see. Well feel free to ping me anytime anyway!

3:12 PM

Come to think of it, I'm not certain I even know what the term "feminism" means.

@user21820 I get it. But would it have been asking too much to add six or seven characters to acknowledge my welcoming greeting? I'm sorry if something I said or did in the last month upset you. I know you're busy, but you seem to find a lot of time to engage still, on the sight.

@amWhy I was joking. Obviously, I need to add a smiley to every joke I make next time I'm not wearing the just jesting hat. =)

I think your sex may still be polishing that term. For instance, a significant percentage of self-identified feminists view pornography as female exploitation, others as female empowerment

@amWhy Was away just now.

I second this, his icon was faded

@amWhy Do you believe that math is created or discovered?

@user21820 If you haven't gone through the representation theory of at least finite groups I would recommend it, not only in terms of being able to understand the paper, but the development is fun, quite genius, and frequently quite practical

3:22 PM

@DavidReed I think we both discover math, in the world and in the heavens, or at least the world and the heavens, as mind-boggling and awe inspiring as they me, motivates to better understand it, and it inspires us to create it, so I think it's kind of a chicken-egg question. But there have been and still are social/religious/political factors throughout history that have shaped what has been recognized, promoted, celebrated, and credit due not always even acknowledged...

Will be away again for a long while, so see you all again next time!

That was my answer when asked as well, albeit it was a little less aesthetic

... It's similar to my position in epistemology: What counts as truth?, as "knowledge", as "the canon"? I think math, like science, like any serious study that "human beings pursue, with all their biases and privileges (or lack there of), pursue, could be so much more furthered if there were more voices, more stories, more participants in the practice of mathematics.

@user21820 Take care... I was writing... when you posted last. Cheers, dear jester!

4:16 PM

@amWhy What ideas are inherent in the notion of a "feminist philosophy of math"

@XanderHenderson Good morning sir. How are you?

Xander Henderson

@DavidReed Alive.

Which is mildly surprising, after this morning's commute

f'ing Californians who don't know how to drive in the rain... :(

lol

what city in cali do you live in?

Xander Henderson

Also, in a good news / bad news kind of moment, my roof is leaking, but at least it is leaking into the bathtub

I live in Highland CA

and work in Riverside

is that close to LA?

Xander Henderson

it is in the "Inland Empire", which is to the east of LA

it is about an hour to LA, which I suppose is close

4:20 PM

not in LA traffic :)

Xander Henderson

no

not in LA traffic; ain't no way Imma deal with that

I was going to suggest we might grab lunch at some point, would have to meet halfway.

Xander Henderson

where are you?

santa monica

Xander Henderson

Lovely.

I'm a fan of Santa Monica

4:23 PM

Yah its nice. I'm like 5 blocks from the school there as well which makes early morning traffic easy

Xander Henderson

Nifty

sry I'm eating and multitasking. I'm actually catching a flight there 3 hrs to move into my new apt. Change in ownership at the last one resulted in my pig no longer being welcome :(

Xander Henderson

A flight to move into a new apartment?

that is confusing...

OH COFFEE IS READY!

2 hours later…

6:15 PM

@XanderHenderson My stuff from my last apartment is in storage in LA. I'm currently in Dallas and hopping on a plane to LAX where I'm scheduled to meet the movers tommorow:)

Xander Henderson

Ah ha!

That makes sense

3 hours later…

9:22 PM

@DavidReed I know it is only because of your kind heart that you seem to feel "bad" for Michael Hardy. But throughout all the time here during which he points out all his suffering, there's another story to tell. He thrives to envision himself as a martyr on a mission to spread the gospel of mathematics, lalalalalalala. We've all heard it, time and again, and I was sympathetic, in the beginning, too. But over all these years, he brings his "suffering" on himself.

I'll say no more about MH, @David, unless you want to discuss something in the future.

@amWhy I simply tried to de-escalate the conflict, impress upon him how his initial approach dictated your response, and defend you simultaneously. It's not so much an emphatic thing. I'm stuck on a plane and trying to maintain my zen :)

I like to think it worked, as he seems to realize now and is possibly working towards an apology:

@amWhy : "My first reaction is to think that those voting to close it are dishonest and malicious." I didn't post that without a lot of provocation, much of it earlier than today's events. Specifically, I know the close queue is designed in a way that effectively if implicitly encourages carelessness and I know that its frequent users are frequently careless.

@DavidReed That's perfectly fine. I just saw him replying to you and speaking of all the time he's spent on MSE, and all he sees himself as having suffered ..... etc, and I wanted you to know that I understand your empathy et

@amWhy Frame control 101: Pace then steer :)

https://en.wikipedia.org/wiki/Framing_(social_sciences)

...et al., but also letting you know that the one thing Michael Hardy needs most is attention, appreciation. But he's insatiable in that respect.

@DavidReed Believe it or not, as an undergrad, for my psych major, I wrote a thesis on the framing effect!

@amWhy That's exciting, you are quite the academic.

My first exposure to it was when studying seduction science. It's widely used in teaching interpersonal interaction these days, even in a business context.

9:36 PM

@DavidReed I triple majored ... hehehe, I loved everything, but had to settle with three majors

@DavidReed I wish mathematicians were open more to the social sciences. Many seem to forget that math is done by mathematicians, learners, students, engineers, etc. who all happen to be human beings working in some sort of culture, with social dynamics, etc.

Me as well (in terms of loving everything) I think I have spent nearly 20k on roughly 200 txtbooks from just about every subject one could imagine. When it came to knowledge I was "insatiable"

@DavidReed You sure sound like me, alright!

I think at this point I have learned more out of school then in school.

So math/philosophy/psych?

9:59 PM

@DavidReed Yes... with other interests too!

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Jan '189

$Mathematics$ This is the Realm of Simply Beautiful…

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