jgill

Usually this expression is used in reference to spacetime and depends on a certain metric. Objects, however, become distorted by gravity and speed. Le...

What is a philosopher? One who contributes something new and of publishable quality to the realm of philosophy. Thus professional philosophers control...

I suppose some are prone to this level of existential anguish. Others find that one creates one's own meaningful life. One that will satisfy human des...

So you don't have to look it up, from Wikipedia: As a retired mathematician, my profession is defined a bit more specifically, citing "using extensive...

Random vs logical? or random vs determined? Randomness is a logical concept. And logical is a human concept.

You bet. :cool: As an abbreviation for certain statements. For example \sum\limits_{k=1}^{\infty }{{{s}_{k}}}<\infty

Not since I retired 22 years ago. :cry:

:up:

Go back and click on that second math note about extending the diagonal paradox. It occurs there. As far as something physical I don't know.

Depends on the context. You are driving with a passenger in a safe manner and a car runs a stop sign and hits you, killing your passenger. You have do...

One physicist to another, eh? The peanut gallery awaits eagerly. :chin:

Wave on the unit interval compresses to a line infinitely long.

Yes

I was asked to relate a bit of QP to (elementary) math, and the Schrodinger equation in a simple version resembles a fundamental relationship in eleme...

Wave from circle or, another interpretation F(t)=t+iCos\left( \left( \frac{{\hat{H}}}{h} \right)t \right) Just some rough analogies between elementary...

Assuming there is such a thing.

(Power set) Embedded in the rationals embedded in the reals. Not so much going bigger above than counting more points between natural numbers. But you...

When a recursive process gets you closer and closer to an answer the more you apply it, and this process goes on step by step with no ending stipulate...

The things that appear on oscilloscopes, old fashioned stuff. In math a simple wave is a time-dependent vector field defined, say, on the complex plan...

Waveforms certainly exist in electronics, but in Quantum theory they may be in abstract spaces where collapse of wavefunctions occur. What is actually...

Agent Smith is a lot brighter than he seems at times. Humor him. :roll:

Yes, there are thoughts. I think therefore I thought. :cool:

You are the one who says there is no physical infinity. Prove your statement. :roll:

Speculation presented as fact. A no no for philosophers. This is kind of a non-issue with most mathematicians. If you are a set theorist you probably ...

Which sounds more abstract, even mystical, than most of mathematics. Are things really that bizarre in the quantum realm, or is a dramatic paradigm sh...

You might consider rethinking your analogies. :roll:

I would alter this slightly by saying the correct relations among them come into existence when the concepts do. Then these are sought out.

I would say a zdp is both real and ideal, but not physically real. As for vps, they are excitations of the underlying quantum fields, so perhaps zdps ...

The arrow fields are vector fields with arrows showing direction and magnitude when a point is moved by application of the underlying function. When t...

I love these Einsteinian thought experiments ! :nerd:

:cool: (you can see this happening in the first note I linked) :wink:

Nice imagery isn't it? That's the fairly simple geometric and projective aspects of MTs. The analytic aspect Is what I do. For example.

Motion without time. You're on a roll!

I don't think the human brain is capable of "understanding" time. There are endless arguments about beginnings or eternities but its like a dog trying...

Here's a link to the short note. This is a technical subject and probably not appropriate for TPF. If there are other questions it's best if they come...

Nice presentation on traditional bifurcations via DEs. Not relevant to the situation I describe which is a process of growing a second (and repelling)...

It's really a sort of unique but trivial way of progressing from F=r to defining a new fixed point, b. Bifurcation is usually meant to "split" one fix...

OK. You do see the difference between {5,2,4} and (5,2,4) or <5,2,4> don't you? In the latter two position is inferred.

OK, take the set {5,2,4} and generate a vector space since this set can be defined as a vector.

Your comments give me pause to consider the use of the expression "intentional ambiguity" may be inappropriate for what I had in mind. The statements ...

These are vectors as I know them. I guess I don't understand what exactly you are talking about. That could be me. But if you point out your descripti...

differentiable manifolds

Your perspective of "set theory" is not the normal math perspective. If it works for you, fine. OK. Not a topic I have an opinion about.

If one expects two pieces of information simultaneously, yes. But with a slight passage of time one perceives cube#1, then a moment later cube#2. Two ...

The sequence <2,7,9> can be seen as a vector. The set {2,7,9} cannot, since the positions of the elements is arbitrary. Not my experience at all. Afte...

Do you mean differentiable manifolds? A cylinder created by moving a circle through space is not curved? A sphere in 3-D is not composed of points?

Complementary, not contradictory.

It's still a matter of consensus to determine whether the proof is valid. Yes, in some abstract realm a proof is valid or not according to logical pri...

Mathematics is what a consensus of mathematicians says it is. That's the "authority".

Why do you keep bringing up the word correct? The only thing correct is one gets two pieces of information from one image, like my mathematical exampl...