jgill

:up: :clap:

In uneasy times many look towards an authoritarian figure, in marked contrast to our current president, who is widely seen as only a figurehead, perha...

https://mediaproxy.snopes.com/width/1200/height/900/https://media.snopes.com/2013/06/macarthur.jpg I'm not complaining. If this guy can puff away, so ...

Wonder when Invicta's period of suspension will be over?

Sorry. Just being frivolous! :smile:

I had a similar experience on another forum. I made a comment about how wonderfully women had progressed in a certain sport, given an opportunity to d...

Sure it does. The doughnut hole is something you eat and it is in 1:1 correspondence with the emptiness left by creating the hole in a chunk of cake. ...

I'm tempted to say, Nothing I can think of. But I won't. How about an element of the empty set? :cool:

Wrong. I and others have studied infinite regress in detail, as infinite compositions or iterations. What is "the natural number" ?

This seems to be an assumption on your part. Please elaborate. Welcome to the forum. :smile:

Or something out of nothing? This is a legitimate philosophical issue. :chin:

Fixed. :cool: I've left out details to give an outline.

Here's an explanation of this process converging to the Golden Ratio. Leaving out the details, we begin with the cf = 1+\frac{1}{1+\frac{1}{1+\frac{1}...

Huh?

A little knowledge (from Wikipedia) can be a dangerous thing. :roll:

Not quite unpredictable, as the first 100 trillion digits in its expansion are now known. Why on Earth someone would make that their life's work is be...

I applaud your perspicacity. There are mathematical ways of avoiding circles, but not now, I think. :chin:

It's the language supporting Mathematica, Wolfram's pride and joy. I dabbled with it for a bit in dong math, but found it seemed to be too high level ...

Wiki puts SB in the category of number theory. Perhaps it's analytic number theory since limits appear. Apart from the simple continued fraction expan...

SB is a fairly deep mathematical subject, as seen here.

As we get older time seems to pass more rapidly. At the age of ten one hour seemed like an eternity. Is it possible the "rate" at which time passes ac...

What I was referring to is seen in the Minkowski metric of spacetime, in which the time term is in fact a distance term c^2\left(t_1 - t_2\right)^2 - ...

In the metrics of spacetime, should time be entirely independent of spacial change?

If the universe is the mathematical universe of Tegmark, then perhaps it is a giant dynamical system that goes its merry way starting from a set of in...

I tested the Bing AI in the following way: I have a low-priority mathematics page on Wikipedia, so I asked Bing what is known of this particular subje...

I know. But his quest for the smallest particle of space is no more absurd than Tegmark's mathematical universe IMHO. :cool:

Maybe they could run as a geriatric team. But which one is Gandolf?

I don't see what the problem is here. You can say what you want, when you want. But asking mathematicians to go along with your ideas of synatax and g...

:up: I worked in the analytic theory of continued fractions years ago, and one of my forebearers was Omar Khayyam, the Persian poet and mathematician ...

I had thought Newsom would have a good chance, but news out of CA has not been good lately.

Pi is the ratio of circumference to diameter of a circle. The Golden Ratio can be defined as the ratio of a particular line segment to another - you c...

2024: Banana Republican Donald Trump vs Senility Candidate Joe Biden. :roll:

I would like to see some statistics to this effect. That would not be my guess. Ageism is still considered fair game, while other forms of discriminat...

This is a numerical approximation to a geometric concept, like 3.14159... approximates another ratio, pi. Since these expansions are non-ending they d...

The Tree gives rational approximations to the GR. There is no infinite digit RL. How would you use infinite decimal digits to define the GR? You can c...

Any alternative to subscribe without going through PayPal? Got hacked in an account years ago. I get scam claims through their site frequently.

No. Better stay away from mathematics for your "true under any circumstances" example.

A poetic and well written OP. :chin:

There is a subtlety here that GPT4 fails to address. But that's better than the other GPT.

Reasoning is a problem, as seen in the question,"If 5 machines produce 5 products in 5 minutes, how long will it take 100 machines to produce 100 prod...

My late aunt used to say about my grandfather, "It took him a long time to find his niche". Certainly, biologically, we are here to reproduce. We are ...

:up:

Yes, he did. And that is too bad. You get a scientist on the forum who "have at it" an argument using science in panpsychic realms and he's banned.

I had the opposite advice in my one (senior level) course back in 1958: Read commentaries first, then primary sources. I had tried to understand a par...

George W. Bush when asked who was his favorite philosopher answered, "Jesus Christ". Then, I thought, How ridiculous. Now, not so much.

Is it possible some philosophers when writing run out of ideas, but continue writing? :chin:

Does that mean that a great many if not most threads on TPF should be removed? It's already been decided that definitions here need not be exact - or,...

Quite possibly. I don't know. Sometimes it may seem to take forever to get to a point of understanding a complicated idea or general area of study. Wh...

Brilliant OP. I would expect nothing less. :clap:

You mention one possibility. Yes. And the sheer breadth and size of the subject is overwhelming, almost impossible to keep up with, having over 25,000...