jgill

You probably need to qualify this. Take the circle x^2+y^2=1 in the standard Euclidean plane and lengthen the scale on the x-axis, so that the circle ...

I see occasionally on this forum discussions that might go on for pages about subjects that are actually practices and not merely ideas. When that is ...

I think I made that post when the thread was on the main page. More appropriate here.

Then it should appear in a different forum.

Thanks for the clarification.

:roll:

I'm a retired mathematician with little knowledge of philosophy, so I mostly read posts. The writing on this forum is at times excellent, and the idea...

In my 8+ decades I have seen and experienced much, and that accumulated history perhaps gives me a different if not better perspective on current even...

How intriguing . . . please explain.

Probably. But take for example the element of the power set of N: {2,6,7}. This could be interpreted as guest(2)->room(6), guest(6)->room(7),guest(7)-...

Wiki, Sartre's The Look: "The mere possible presence of another person causes one to look at oneself as an object and see one's world as it appears to...

A highly colored painting turned to pure white leaves nothing but an empty canvas.

The power set of the naturals.

One long, continuous paragraph might be a little much to process, whereas ten second parts separated by pauses allowing the listener to digest a seque...

It might reveal more about what you were saying during that 59 seconds. Just a thought.

On an uncrowded roadway I might turn the driving over to "George", who is a part of me. Sometimes George takes over when I back out of the garage and ...

and nothing's got plenty of me!!!! :party:

Riemann sphere

This certainly seems to be true of areas of math concerned with sets and/or foundations, and probably valid in other areas of modern, abstract mathema...

It is a victim of the momentum of time itself. Whatever that is! I suppose if time has a kind of mass, then the expression is not completely bonkers. ...

This certainly gives Planck time a new spin in my thinking. I've assumed it had more mundane characteristics in terms of light traveling a tiny distan...

And how do we attribute existence to the moment in time at which that color exists? Does time flow in a continuum of instants? Or does it exist only i...

The possibility that certain constants in those laws might vary a bit in space and time does not mean physical principles are endangered. There remain...

Thanks. Wish I knew more about modern physics. I took a year of physics in college 65 years ago and of course used some of the elementary ideas in cal...

Maybe a reference would help.

In the late 1940s Joe Brown and his companions initiated the British era of working class climbers, and those I met in the 1980s and 90s who were livi...

Leisure: "opportunity afforded by free time to do something." If one is on welfare, with no job, this might apply. I have observed this in young Briti...

Many aspects of the universe are orderly. We invented math to model these features. Why does this orderliness exist? Good question. :chin:

At either end of the social spectrum there is a leisure class. :smirk:

Stanislaw Lem at one time suggested what he called an "ergodic theory of history" in which some events have such historical momentum that even elimina...

How do you define "the end"? :chin:

It might help if members gave their real names, as on Quora. It's cowardly to be nasty when hiding behind a cardboard avatar. And yes, I know there ar...

:cool:

The Egyptians had a simple formula for the design of a pyramid: Imagine the height to be the radius of a circle, then form the square base to have the...

I've read the article - well, more or less - it's 26 pages long and repetitive and I skimmed over some sections. The principle thesis seems to be that...

Thirty years ago a colleague at the University of St Andrews and I created something similar as a means of communicating new information about certain...

Have you discussed this in another thread? If not, perhaps you could begin one on the subject.

Careful of that Phi function. It's a doozy to compute! Welcome. :cool:

Oh dear. No leeway for us really old guys? Frank and I are both 83. :worry:

(Comment posting is malfunctioning)

I was referring to my previous post: The meetings and conferences I attended were in English and I never noticed a problem with languages. I was refer...

Wiki: "In mathematical contexts, duality has numerous meanings although it is "a very pervasive and important concept in (modern) mathematics" and "an...

In math, as I have mentioned, there can be ambiguity regarding a word. Once it's placed in context such ambiguities may disappear.

Practices like Zen allow one to understand that one's "I" is an artifice. And the experiences of the Art of Dreaming (Castaneda) allow one to experien...

What I meant was that in this context each of the points {A, B, C, D} in the unit square X corresponds in a one-to-one manner with a point in , and we...

Where do victims of violence or accidents fit into this scheme? An instantaneous death would mean no natural afterlife? You probably address this in y...

Esperanto? Compounding this situation is that even in a discipline there may be differing definitions of a single word. For instance, in math, varieti...

When you say "eventually get to" I take that to mean in a finite number of steps. The sequence S(n)=1-1/n does not eventually get to 1, but gets prett...

OK. Once one goes into transfinite set theory, Zermelo's Well-Ordering theorem (used in the Hahn-Banach theorem, e.g.) , etc., one can presumably do l...

Step by step? An algorithm? If so, then you are generating all the real numbers and counting them as you do so. Perhaps you refer to an uncountable al...