jgill

Curious. I never came across "witness" in math before this thread. Mostly Foundations I suppose. But, loosely, it seems to be a sort of example. Norma...

True. But BingAI lists the internet sources, so you can go directly to them for verification. Though some might be shaky, as any search might show. Wh...

Well, the chatty robot can do a lot of the searching for you and provide a quick answer.

That's a stretch. :cool: But I like his conciseness.

6.5 If a question can be put at all, then it can also be answered. Incompleteness in mathematics puts a kink in this. Is "this and that" provable? Wil...

Come on. Spit it out. :smile: :up: The problem, as I see it, is that then a revolutionary idea is drowned in a sea of words. Being a math guy and not ...

I like that. I was a rock climber. I love those symbols. They are an integral part of exploring an obscure path of conceptualization and discovery. It...

I confess. In my own research I have never cared, being more concerned with the difficult trivia that goes on outside the hallowed halls of Foundation...

Good to see you back, Tones. :up:

No, only help society if one feels the urge. Otherwise, follow the Hippocratic Oath: First, do no harm.

Yes. Most of us are content with knowing a consistent system is incomplete. And most of us never encounter this situation.

Oh dear. But I still purr. Confusing. Disregard.

So, even though I am not a cat I can still be certain that I am? Just not absolutely certain. The two of you are breaking new philosophical ground her...

My suggestion is you study the elementary theory of sets in order to use the notation accurately. Then compose your ideas accordingly.

Are you playing the game,labyrinthine logic? The wave function is already a logical expression, subject to interpretation. This is all very mysterious...

Snap But nicely said. Perhaps puddles are aliens in disguise. Clever little buggers.

Mama say what? :yawn:

Very clear. When there is no observer at a site then none of the derived features of the site brought into play by a human mind exist.

Don't feel badly. I was a professor of mathematics for many years and never encountered a theorem in my area of study that was not provable in PA. Mos...

What does it feel like to be energy? Running the hundred meter dash.

Lots of research on Time Perception already exists. Even I have written a playful Elementary note on the subject.

I just came across one of Victor Toth's commentaries on Quora regarding Bell's results. It's the clearest I've ever read.

That's how I see it also. When a researcher flexes their imagination and comes up with a new definition or concept, there immediately comes into exist...

It might seem that way to someone who hasn't worked in the subject. But mathematicians are very imaginative people. What they have done goes far beyon...

I'm guessing most of my colleagues in the profession would agree with this. A mathematical universe is inexplicable conjecture. But I am tempted by th...

To what extent can academic philosophy evolve, and at what pace? PhD programs have as a primary purpose the launching of academic (or possibly other) ...

Perhaps. Quantum theory is still searching for a way to understand what's happening down there. Other sciences, I'm not so sure. Intra-actions . . . w...

Me too. But I don't see a resolution on the horizon. :chin:

With which I agree. Welcome back from your vacation. :cool:

Space and time seem joined, and it's not clear that there is a way to separate time out and experience its passage without changes in spatial events. ...

You are saying you can't imagine any sort of alternate world in which the logic we enjoy would not exist. How do you know this is a universal limitati...

If you are speaking of "worlds" in our universe, or in some parallel universe, worlds we can reckon with, then probably yes. If you are speaking of wo...

I don't know how to define "closed" in this context, but I agree. With over 26,000 Wikipedia pages, and counting, mathematics continues to expand its ...

The Minkowski spacetime metric seems to allow a change in the time component when space components are fixed. Or maybe not. I'm not a physicist.

={t:0<=t<=1} and (0,1)={t:0<t<1} A dimensionless point, not a pencil dot on a map. Or an infinitesimal in non-standard analysis. An object of the mind...

Even pure mathematics might open unexpected doorways into reality.

Would you say an interval of time is real? Consider the intervals or (0,1). Each requires end points, one includes its end points and the other does n...

Yesterday, I do swear I saw a post that wasn't there It wasn't there again today I wish I wish it'd stay away

When we construct a building we lay plans, then follow through physically. So those plans underlie a physical project and provide a "framework", which...

The notion of "points in time" is rarely debated in science and math to the best of my knowledge. Do dimensionless points exist? This is more a philos...

The kart before the horse. What is mathematics, first? I've been a mathematician for over a half century and can not give a clear definition. There ar...

Don't be so critical. I've used "points in time" frequently in complex dynamical systems. And in complex analysis, a contour in the complex plane, z(t...

Like a near fast-as-light spaceship. :roll:

Yes. That's my story, too.

:roll:

:cool: Nice. The interplay is certainly interesting.

That's nicely done. I suppose my point is that QM is all sophisticated mathematics and equally sophisticated experimental processes. :up:

:yawn:

Here's a quick look at ground zero in quantum studies by Mark John Fernee for Quora: For math, one starts with calculus, then real and complex analysi...

You would think. But anything to take the public focus off our senile president. I used to trust most government agencies, but I withhold judgement no...