jgill

What is "proof telling"? Proof description? An actual proof written out? Compared with "story telling"? A traditional proof (pencil on paper) may be c...

A number representing the square root of the square of the number of apples plus sixteen

The square root of the square of the number of apples plus sixteen. An amazing breakthrough in marketing!

The word "congruence" has at least two meanings in mathematics, but I've never come across a sub-discipline called "congruent mathematics". Do theorem...

Yes indeed. Me too. :chin:

What is "congruent mathematics"? Just curious. Good point. I think of all the theorems I have conjectured and proven, each requiring intricate maneuve...

Well done :up:

B-T is not easy for a non-mathematician, although the Wiki article does a good job. I encountered non-measurable sets over a half century ago, and hap...

Nonsense :roll: Probably best, then, to avoid topics like this one.

Here's an example of a (weakly) emergent object called Infinite Brooch. https://upload.wikimedia.org/wikipedia/commons/2/2f/Infinite_Brooch.jpg The in...

This thread has become a little weird. But so are parts of physics. And math. :worry:

I'm not sure that knowing thyself is even possible, but what is more important is to know thy limitations. I was a rock climber for over half a centur...

The best hope of parapsychologists is to mathematically model ectoplasm, then run tests to see if the math is appropriate. But ectoplasm may have gone...

Occasionally, in engineering and mathematics one discovers what seems to be a solution in search of a problem. I'm guilty of this. But this is mundane...

Agreed. Schadenfreude arises out of some aspect of envy. My daughter, a New Yorker, recently related to me a true case of SF: Some families who bought...

Wrong Hobbes. :roll:

He's my favorite philosopher! Hobbes the philosopher

Consider each term of the form, 1/n , a momentary vibration. Count both directions , 1/n and -1/n . As you add up the moments the sums tend to plus an...

Returning to the philosophical mundane, here is an appropriate passage on Nagel from Wikipedia: I agree. :smile:

Wrong. Think of starting the harmonic series in both directions, then later popping into existence. At that point in time the series is still progress...

Not quite. There is an extremely small probability the die will end up balanced on an edge. Or that as you toss the die a meteor will crash into your ...

Have another glass of wine, my friend. :roll:

Here's a shape of time: Lorentz Factor

There are schools here and there that teach calculus using infinitesimals, but by far most use the epsilon-delta approach. https://matheducators.stack...

I've mentioned this before, but I was at the U of Chicago in the late 1950s and was surprised to learn that the physics department had entirely separa...

It may seem odd, but one reason I switched undergrad major from physics to math was the relative clarity of definitions in the latter compared with th...

I'm humbled by your perceptive reply. :roll:

It's called academic momentum.

IMO it's a philosophical mistake to attempt to separate time from space. Sure, it can be done more or less mathematically, even having it move backwar...

It can and it does, quite successfully, even as it expands beyond light speed. It would seem that to apply the sort of everyday reasoning to which we ...

I've always thought his comment on existence and thought trivial. On the other hand his brilliance is apparent with the discovery of analytic geometry...

Nicely put.

Precious bodily fluids are not to be trifled with. But getting back to the OP, one should read up on some arcane subject before making an approach. Th...

An entertaining philosophical topic. What would Kant think? :chin:

In humans there is the consciousness of recognizing a problem and recognizing a path to a solution of that problem and proceeding along that path, and...

"I'm still mulling over "solving a question." One answers a question. One solves a problem. :roll:

I'm still mulling over "solving a question." Another example of philosophical babble IMO. :roll:

Let's see some citations. I don't remember academia as being like that, but it has been a while ago that I was on a faculty.

I'm not sure TPF is a good place to undertake article publications or even postings. There must be other sites more suitable for posting efforts that ...

Hard to argue against.

Math PhDs 2017-18 in USA: 1,960 ... 29% women.

There are vaccines being developed in the MRL to protect against this very affliction. :cool:

Will be = must ? Too deep for me.

Praise the Lord for that distinction. :wink:

Maybe this is somehow connected to your question. Maybe not.

But there is some lovely mathematics that relates to this arena of exsanguination. Particle spin associated with the delightful correspondence between...

Here is a question and answer from Quora Digest that was in today's link for me. Not a lot is said about the amount of time involved, but it may be sh...

:up: It seems simple to me. Just consider that time and place in history. Stand fast for Christ and His teachings. But these days, how much of a Chris...

Click on my icon. Your "summary of all mathematics" caught my attention! :roll:

Great! You must be a fellow mathematician. :cool: