jgill

OK, thanks. Another concept I was unfamiliar with! :smile:

Is this what you are talking about? : https://www.encyclopediaofmath.org/index.php/Density_of_a_set

Take a line segment of length one, then the circumference of the circle is also one: 1=pi*D means the diameter is irrational. :smile: Or not??

It also figures into Quantum theory by way of Feynman diagrams.

Sorry for the intrusion. Just checking a link and now can't get rid of it! See my new thread. :sad:

Here is a possibility for VP that Biden once mentioned: https://en.wikipedia.org/wiki/Stacey_Abrams

Would that imply time is also "smooth?" Or space/time?

Oh no, no, no . . . anything but that! :scream: There's always the danger of abuse. :gasp:

Once again I attempt to get the conversation about time moving in a slightly different direction: Wiki: "With an incomplete theory of quantum gravity,...

Not really. We are quite tolerant, and chuckle as we do when a cute puppy barks. :smile: The controversy among mathematicians whether math is discover...

I am 83, and from my perspective both Biden and Sanders are too old for the presidency. The Democratic choice for vice president is far more important...

If you say so. :roll:

The forum exists. I have my doubts about philosophy. :chin:

Here's a thought. These arguments about the nature of time go on interminably without clarification, repeated over and over. Why not try a different a...

Here is Peter Lynds' paper in which he postulates that there are no instants of time. This was published in Foundations of Physics and generated heate...

Novel notion, Z! How would you describe 50% of infinity? :chin:

Having spent an entire math career not concerned with these things, I now find there is literally no escape: https://en.wikipedia.org/wiki/Reverse_mat...

Who is comparing? Please show how the two compare. How do they contradict each other? https://www.encyclopediaofmath.org/index.php/Density_of_a_set#De...

Topological space. Let's say particle alpha is under consideration. We measure time in seconds. Page 1, present time. Page 2 , 1 second from now. Page...

Say each piece of information is a string of alphabet symbols. Since the length of these strings is unbounded, so is the amount of information. We're ...

Wow! So there are an infinite number of pixels in each photo. You're correct. Guess I don't get it. There are a finite number of existing English word...

Of course. The entire process is faulty. The assumption that every aspect of the universe can be so pixeled assumes his conclusion.

Please cite a legitimate reference. Is this claim related to the observation that time seems to pass more rapidly as we grow older? A psychological ph...

Faulty hypothesis. :yawn:

Wiki: "The Eleatics maintained that the true explanation of things lies in the conception of a universal unity of being. According to their doctrine, ...

Yes, it's difficult to square what appears as a very dynamic universe with block structure. All the mathematics I dabble in involves patterns of movem...

It's not that bad. Really. :roll:

Here's where you need someone who has experienced this kind of enlightenment. I engaged in Zen practice for a short time a lifetime ago, but did not r...

For some reason this thread is not coming up on the forum page for me.

How about it, Dan? Get your degree? :smile:

This should put an end to the issue. But it won't. :roll:

I suggest someone who is a proponent of "more leisure time" try starting a GoFundMe account. This might provide a "peoples'" perspective on the idea. ...

And how they will not vote next November, to show their frustration.

I'd suggest Zen Buddhism, but it's more a practice than a philosophy.

https://matadornetwork.com/life/10-reasons-moving-alabama-right-now/ :razz:

The cost of housing may be going up in many areas that have been reasonable in the past. I live in a nice middle class prairie community south of Colo...

Good point. The only trait I share with R. Feynman is the process of learning a difficult concept by looking at examples. There are many mathematician...

The conversation has drifted into ergodic theory rather than entropy. :roll:

That article does go on and on. I burned out after a short spell. Fifty years ago I was formulating my dissertation and was stuck at a difficult point...

A countable or uncountable number of universes? Would there be a difference? :chin:

Assuming equal probability, the finite number of states simply means that the fewer the states the higher probability one re-occurs over a lengthy ser...

By "intelligent design" one seems to imply some sort of entity that "causes" that phenomenon. But what if the design appears to be a product of intell...

Yes, I'm not sure what further if any conditions would be placed on that experiment. Combinatoric calculations in probability. Here is a comment from ...

Too broad, IMO. This is a result that requires a function that takes points in the space under consideration back into that space. However, with regar...

As a (secular) retired mathematician, I think it prudent to keep an open mind on the subject of a non-religious notion of "intelligent design". Max Te...

"Finding the Scorpion submarine: On May 22 1968 the US navy lost one of its submarines and wanted to find the wreckage, but the intelligence it had wa...

We're exactly the same age, Frank. :smile: I suspect that the Trump Effect will subside, and I don't fear the man and his policies, but who can tell w...

Yes, the Zermelo well-ordering theorem comes into play (I took a year of FA fifty years ago), but is not required if the underlying normed linear spac...

You have admirable patience. Thank goodness run-of-the-mill mathematics avoids all this. :cool:

Sorry, Frank. I meant the generic "you". Well, I've not come across your opinions of welfare and UBI before. Interesting to say the least. You should ...