jgill

"Conventions" ? Can you be more specific? Although the physical sciences have influenced quite a bit of mathematics, the intervention in the artistic ...

Is intention necessary? What of my images? Have you looked? You seem well versed in art matters. Please comment.

What meaning? I agree with the , "know art when . . . " statement. Maybe that tells us art is only "definable" by one's subconscious? I'm not sure abo...

Thanks for replying, but by gaining control I would inevitably reduce the complexity of the imagery; I've tried, but with poor results. The subconscio...

To expand the discussion a bit, I have written many math programs over the years in connection with my interest in infinite compositions of complex fu...

Just a comment from a personal perspective in an academic environment: for years before Fermat's Last Theorem was validated, math departments would re...

It's a minor issue in the big picture, but, having served in the military years ago, I would prefer a CIC who has had some military experience. I like...

Thanks for the link! I keep learning things on this forum. :cool:

Lots of wiggle room in that "something." "Pure mind art" is good! :cool:

Category theory maybe. :smirk:

You are referring to something other than mathematical chaos theory, which is not bunk IMO.

I would extend that to include the artist's subconscious as well.

Certainly some sort of goals, but not necessarily physical ends. To a large extent it's curiosity about "what comes next?"

Whew! Thought you were coming after me. I'm a retired mathematician who hasn't kept up with the highly abstract areas in a number of years. So I learn...

I write math notes now as a hobby. Here's a couple :cool: https://www.researchgate.net/publication/319057086_A_Primer_on_the_Elementary_Theory_of_Infi...

Where does measure theory (surely not taught in high school) intersect any of this? I've used it in various integration processes, the most interestin...

This must be a significant difference between what you do and what a research mathematician does. Recently I've proven theorems related to composition...

What you have said about proving mathematical theorems may be the way computers see the process, but most theorems are not proven by computer programs...

Thanks for saving me the effort of looking it up. That one sentence is enough for me. :brow:

Maybe so. :roll:

It depends upon what you mean by "short." Or "normal." In the area I'm most familiar with theorem proofs vary from a few lines to a number of pages in...

Perhaps there is a little confusion about the symbols {{0}^{+}},{{0}^{-}} They usually refer to approaching zero from the right (through positive numb...

I have conjectured and proven lots of theorems - some quite challenging - that do not require computations beyond basic inequalities and a little arit...

Just when I think I've seen the most :scream: math ideas presented on this forum, I am pleasantly surprised :smile: (fishfry: how did you post that gr...

Huh? :roll: Really?? all?

One way to define "constructive physics" is simply to say, "it uses constructive mathematics". But definitions of the latter sometimes arise principal...

I'm aware of that. But I wonder if string theory might be considered a metaphysical subject amongst philosophers who are not necessarily scientists/ma...

Forty years ago I decided to attempt Castaneda's Art of Dreaming. Amazingly, his instructions (Don Juan) worked the first time and I "awoke" in what s...

Ha :smile: Just curious if a physicist might jump in here. I don't think there are simple answers. But I wonder about string theory or similar conject...

The metaphysics in these topics is all over the place - and that's suitable for this forum. Is String Theory metaphysics? Or any other far-out "theory...

Was it Cantor who said the rational numbers are like the stars in the night sky and the irrationals are like the darkness in the background? Perhaps t...

The replacement of a theory due to counterexample (original theory wrong), vs the replacement of a theory due to the development of a better, more enc...

I'm one who hasn't. Complex analysis here. And you? :cool:

OK. Now that I see the thread is theological I understand. Carry on! :cool:

At one time it was reasoned that a bolt of lightning was due to an action by Zeus. It might appear then that "reason" is not necessarily the test of t...

I never said I knew nothing about the practice. In fact, I do. I do not practice it now, however. As for importance, serious devotees reach a mental s...

Like Zelig? :smirk:

Not true. For example, I just posted a research note in which I gave what is primarily a geometric (visual) argument that the iteration of a linear fr...

Is reason axiomatic? How do you think it develops or arises in the human mind? Can it change as a culture changes? I don't practice Zen. Look it up on...

:cool:

I would guess not, but I am not certain. Zen has quite a bit to say about no-thingness.

Hence, a thought you hold true must always be reflected in nature. Metaphysical actuality.

I live at one mile elevation on the prairie. Lots of room up here. But the surfing sucks.

Why are you certain of this? Because that's the way the world works now?

Define "valid operation." You should have been around to make your current argument about 1700BC when the Sumerians were calculating the square root o...

I don't understand your definition re: metaphysics. What are things? We seem to be in a downward spiral here. On the other hand, for a little clarity:...

"Metaphysics is a branch of philosophy, within which "actual" has a technical meaning that distinguishes it" Speak to metaphysics, please. Define "act...

x=x Leibniz: "It is what it is." Clinton: "It depends on your definition of 'is'." :chin:

So, combining "metaphysical" with "actual" means someone is thinking a metaphysical thought? Or does the expression imply an interaction with physical...