jgill

Intuition, instinct, imagination, et al. I suspect ingenuity on the part of the program creator. After that a computer does what a computer does. Here...

Make that zero dimensional.

What happens at the altitude of the jet stream is highly influential on surface winds. There are wave patterns at that level, so that, for instance, a...

It's the theorem that's discovered/created first. Then the search for a proof. Math is not just challenging others to solve a stated problem, although...

Good luck on bringing him onboard. I gather it's been difficult to get professionals to participate in the forum. But if he has a lot of spare time he...

I've been scanning and reading Bell's book that you kindly linked. Although I've been a math person for many years I've been concerned only with certa...

I'm not sure how the technical definition of a fractal applies here. Explain what you mean, please.

He asks whether actual time and actual space can be divided according to the math of ZP.

Zeno's paradox when seen from the perspective of pure mathematics is easily dealt with using the limit concept, but giving it an anthropomorphic twist...

I assume you meant "notion" instead of "motion". Did you? Do you have any idea of what you are talking about? Just curious. :chin:

Quite a soap opera. Can't wait for the next episode. :lol:

This may be a little high powered. The differential I-form is f'(x)dx and it is common practice when teaching elementary calculus or even advanced cal...

There is no problem. Mathematical analysis took care of that years ago. Only a few philosophers remain addicted to it. But this is a philosophy forum,...

Jon, thanks for the link to Bell's work. My area was analysis, so I will enjoy reading it. :cool:

It is a lot more satisfying to do this than to argue indirectly, IMO. I have told this little story before, but it bears repeating: There was a PhD ma...

Thanks. I would need a greater knowledge of philosophical theory to really understand. :smile:

Please clarify this.

I had my weekly chat with an old colleague (math prof) living in a retirement home today and brought the subject of instantaneous velocity up. He has ...

Not all contemporary math. In complex analysis one may move to the Riemann sphere and take the north pole as infinity, but I stick to the complex plan...

This is absurd, but then you do see things from an unusual vantage point, inaccessible to many.

I agree in theory. But making the information available doesn't necessarily mean all can or will absorb it. Nature magazine in the 1800s published bre...

Thanks. Wasn't aware of that. Kind of anti-set theory regarding natural numbers.

What's the square root of the real number -4?

A car going at constant speed passes point A at stopwatch time=0, then passes point B, one mile further at stopwatch time=one minute. You ask, "What w...

College algebra is considered under the broad umbrella of "general education" courses. Does the general public get that already? You have a mistaken n...

You've got to be kidding. Think about this statement for, say, five seconds. :roll:

:cool:

It's those damn wave functions! They just seem to be everywhere (at least on this forum). No one mentions path integrals in QT. We can imagine waves, ...

If you decide not to terminate early, you can carve wooden ducks in old age. Oops, that's artistic. Maybe not. Don't overthink it.

Not similar, my friend. Your analogy, not mine. General education for the general public would require testing, and by independent agencies? Sounds ve...

You know, you sound very authoritative in all this, but I don't have the knowledge to engage you, and I don't know if you actually know what you are t...

And this pastor would be . . . . . . . . a philosopher?

Maybe in sociology, but in mathematics this is ridiculous. A professor who is a leading expert in a particular area writes a text - mostly his own dis...

Thanks for the information. From my perspective the project sounds dreadful, but for coming generations it may become standard. It's given me a moment...

I just brought it up as a topic. fishfry is of course correct. :smile: This is indeed a puzzle.

You take a snapshot of a moving car. You look at the photo and ask, "How fast was it going?"

Professionals, yes. Non-professionals (forum participants, for example) a lot weaker. What's a "theorem prover"? Computer program? A tutor?

If I had more interest in this subject I might do just that. It may be unprecedented but the word "qualia" dampens my enthusiasm. Good luck, though.

I'm thankful for that. :roll:

Time for you to develop a new axiomatic system, then, that leads to "Truth". Agreed.

A reference in this regard would be nice. I know very little about the quantum world.

I pretty much agree with everything you have said. I don't see anything novel in what you have written, but you have explained it well. Having worked ...

:up:

Sorry. Can't follow what you are trying to say.

Yes. Goes back a hundred years if my memory serves. Sometimes it's very easy. For example, here is a linear fractional transformation written in terms...

Not a decimal person myself. But equations do not determine reality.

The arrow may be momentarily stationary, but it has momentum.

Look up Shota Kojima and infinite compositions. A lot of stuff out there on fractals and simple iteration, but composing different functions endlessly...

This notation was suggested by a Japanese mathematician. I was starting to use something else, but switched to his.

Here's what's going on, with a simple example: \begin{align}& {{g}_{2}}\circ {{g}_{1}}(z)={{g}_{2}}\left( {{g}_{1}}(z) \right) \\ & {{g}_{1}}(z)=2z+1,...