jgill

Give me a few moments. See the Gabriel's thread.

"The Unreasonable Effectiveness of Mathematics in the Natural Sciences" My former and late father-in-law's good friend Eugene Wigner raised this quest...

That's what happens when multiplying a+bi by i. I play in the complex plane all the time, and I have always visualized figures and imagery and motion....

Please return to metaphysics. The real deal is a challenge.

I'll let you know if it happens. :roll:

The only group that interests me is SU(2). :chin:

One of my inventions (probably! You can't tell in mathematics.) :smile:

See, I learned something from your post! Thanks, norm. What would you say the meaning is? Just curious. :cool:

Bet you haven't seen this: \begin{align}& ArcTan(z)=\underset{k=1}{\overset{\infty }{\mathop L}}\,\frac{2z}{1+\sqrt{1+\tfrac{1}{{{4}^{k}}}{{z}^{2}}}},...

I've seen this play out in the sport of rock climbing. Sometimes those afflicted follow through. Becoming obsessed with physical performance and not c...

Weird stuff, IMHO. Low priority in the world of mathematics.

Depends on that person. Is it a good text? Does the prof profit from its sale to his students? Is the prof fair? Not an easy yes or no here. But carry...

What makes me uneasy is using a concept like topological equivalence and then discussing slopes and derivatives, which, as you know, do not carry over...

Questionable analogy. In academia one person may have responsibilities in all three, in fact usually does. Not so in government.

Old age is not for everyone. And you never know what's going to go wrong for you or right for you in life. At age 84, my only advice is keep an open m...

I know what you mean here, but reading it makes me uneasy.

That would be the empty set, Ryan. We were all math majors and the course was taught in the math department. :smile: With a certain aplomb. I admire h...

It's unfortunate the word "foundations" is used in mathematics. Foundational set theory (that intersects with philosophy significantly) and all that r...

The north pole of the Riemann sphere. But carry on.

Unfortunately, there are math teachers who criticize a student who solves a problem in a novel way.

Before I retired twenty years ago there were discussions in the math department about race and subject matter. We agreed that whenever a topic came up...

Not so, my friend. Norm is mathematically authentic, as are you and fdrake, and I will probably learn something from his posts, as I have from the two...

What's your background, Norm? Another math proof on the forum? If so, welcome. :smile:

Connected with the ideas of "complex" and "complicated" in proofs is the word "elementary", which, when used by a mathematician, usually does not sign...

I'm more or less continuously involved in light, unimportant research these days. As an example, I've defined a variation of linear fractional transfo...

It's true, math is a social activity, but I bet a lot of it exists without a preponderance of mathematicians even being aware of it, much less agreein...

It's not. Seems like common sense.

Good question. I think there is confusion regarding complex in a technical sense and complicated in a more general sense. I know of no "scale" describ...

I have no use for category theory, but it does attempt to generalize areas of math that have similarities. I fear your knowledge of mathematics is so ...

Category Theory

There is no such value. Might it be 100? Or 1000?. y=1/x, x>1 has a greatest lower bound, 0, which it never reaches. Your attempts at the philosophy o...

Try this one: https://www.reddit.com/r/PhilosophyofMath/

Of course, Stack Exchange in mathematics is sort of a forum, and the participants include very knowledgeable professionals, although not so many mathe...

The question of whether mathematics is created or discovered has been around for a very long time. This, perhaps, is not precisely what you are asking...

Yes. I've developed the elementary theory of infinite compositions of complex functions in the complex plane - a subject of very, very low importance ...

No argument from me.

And that is precisely what the Nobel Prize mathematician/physicist, Penrose, tosses at us. His is philosophical speculation by a revered scientist - n...

You may have a point, but I am unconvinced. You would have to demonstrate this philosophical prowess in examples in the modern world, not olden times.

He brought to light a fallibility in the subject, but it's not a concern in much of mathematics. However, in the future it may turn out to be very imp...

"Weak emergence" is a technical term and does not mean "weakly" emergent. It implies the equivalent of a computer program producing an unexpected and ...

Progress in science requires lots of speculation by scientists, and some of this could be called philosophy. But to stipulate that philosophers untrai...

Here is one of my examples of weak emergence. What is the "relationship"? https://upload.wikimedia.org/wikipedia/commons/4/4e/Reproductive_universe.jp...

Human thought and ingenuity is paramount in creative mathematics. There is no way to determine this in advance. Lots of "aha!" moments. :cool:

Math 631 (Algebraic Geometry) (U of Mich): "Intended Level: Graduate students past the alpha algebra (593/594) courses. Students should either already...

From the link above: "So, I don't think anyone has addressed the question posed in the title; but, is complexity in mathematics in your opinion determ...

Whereas one can describe the collection of points in 3-space comprising GH with the zeros of P\left( x,y,z \right)={{z}^{2}}{{x}^{2}}+{{y}^{2}}{{x}^{2...

I'm glad to see you've left mathematics behind for the moment. :cool:

Nonsense. This has nothing to do with algebraic geometry. G's Horn is elementary calculus. :roll: You guys should just let this go and get back to epi...

Suppose r=1/n and h=n^2. Then V -> pi. You are not describing Gabriel's Horn. This is mysterious. One should make pronouncements about topics familiar...

Possibilities in theoretical physics should be left to theoretical physicists, some of whom can be considered philosophers.