jgill

I consider the Butterfly effect as a kind of philosophy of time travel. In the movie The Sound of Thunder, a hapless time traveler in the age of dinos...

I think gravity is still a force, and mass curves spacetime. Its a little like mass increasing as velocity increases, a perspective replaced by increa...

Those aspects of analytic philosophy that intersect mathematics, like set theory, are certainly more than idle chatter. And philosophies of ethics and...

Hilbert space? Don't end up there. You'll be a sentient vector upon which linear operators prey, trying to leave the premises but caught there by comp...

It's so easy for practitioners of the subject: 2(x+5)\equiv 2x+10 Identity 2(x+5)=3 Conditional

I agree. There was developing an interesting discussion on the law of identity and (non-ordered) sets. Or so it seems, I just glanced at it.

Only if you skate much better than your peers. In the sport of climbing one must be truly outstanding and even then the money is not great. You might ...

I decided to determine if I had been a postmodernist mathematician, so I found an article on researchgate : The Proceedings of the 12th International ...

I should comment here. arXiv.org is a repository of mathematical research papers. Even then an author must be recommended by another author who has be...

Maybe it was aI=I. I don't recall. (In the recovery annex of the hospital recuperating from a broken leg at age 87) :sad:

Russell's Paradox and infinity arguments hold no interest for me. After going round and round with the author on First Causes, I suspect I would learn...

That's great. Some kids really liked it, even though their parents didn't. I only tried teaching it in a typical college algebra course using a book b...

I've just begun experimenting with AI systems, raising questions about factual issues that I have intimate knowledge of. I am appalled at the differen...

In fact, this was attempted in the New Math of the 1957- 1970s. It was a disaster. For a variety of reasons. I know, I was there in the classroom.

Thanks for your thoughtful and intelligent reply.

You have mentioned, for example, that the limit concept is flawed, although it works well most of the time. But I don't recall your argument beyond th...

This thread is like a causal chain. What would you say about its first cause(s)?

Good for you. I flamed out at "epimorphism". (i.e., the beginning). And I have actually worked with fixed points in Banach spaces and specifically the...

According to John Fernee QM is entirely deterministic (Schrödinger's Wave Equation). Cause and effect. It's in measurement that things seem non-tradit...

Point at Infinity :cool:

Thanks. Those little buggers are elusive. It might take a virtual device to detect their presence.

It seems that way to me, also. But I suspect AI is crawling along the alleyway waiting to slip through a cracked door. This could be a plus . . . or n...

Have any of these mathematical conveniences ever been detected?

Mathematicians, like myself, may get a little sloppy about using the word, infinity, at times. For example, for those of us in complex variable theory...

Analysis normally does not dwell on set theory. It's there in the background of foundations. And the limit concept arises from it, but when I use limi...

I have explored a topic in classical complex analysis over the years. It is not a popular topic and many of those initially interested have passed awa...

Here's how I see it for myself, transfinite math = Cardinals above the cardinality of the reals, or, treating infinities as objects. The only place th...

:lol:

Damn, I knew there was something special about you! :starstruck: A great many of us never go beyond using "unbounded". But we use the symbol for infin...

(I am one of his 35K math descendants) I think you have indicated that the limit concept is useful but doesn't tell the whole story. Now's the time to...

{{F}_{n}}(z)={{f}_{1}}\circ {{f}_{2}}\circ \cdots \circ {{f}_{n}}(z), F(z)=\underset{n\to \infty }{\mathop{\lim }}\,{{F}_{n}}(z)

It would help if he chose another VP this time around. Gavin Newsom, perhaps.

I tried dealing with 1. and 2. earlier, in mathematical analogues, but there was no interest. I could easily deal with 3. as well, but that takes the ...

You are correct. Coincidence is not proof. So true. The OPs lay out belief systems in one form or another, and sometimes they don't budge. Which I fin...

A lot has changed in the climbing world over the years. In 1985 I was in England and was taken to one of the first climbing gyms, in Manchester, by De...

Regarding men and women "competing" against each other, Lynn Hill succeeded in doing one of the world's greatest rock climbs when a number of men had ...

Thanks. I was curious if AI varied from nation to nation or was international in scope. I met John Long and John Bachar in the 1970s when they came to...

Good question. This thread has been a particularly vexing one and has to a large extent been a conversation, sometimes a bit heated, between two of TP...

To Infinity and Beyond! Hey, no problem. Start with a definition of "untrue".

Off to the races . . . :cool:

My mistake. It was 10, not 15. Don't know why I wrote that down. 5 in chin-up mode(palms facing body). I watched women come into their own in climbing...

My event was the 20' rope climb, which disappeared from competitive gymnastics in the USA during the 1960s. It had vanished from the Olympics during t...

Simon Biles on the uneven bars, or is she on two high bars? I say she could compete with men on the high bar. At the U of Chicago in 1959 I worked out...

Not sure this would pass the muster regarding Minkowski spacetime, which allows passage of time with no movement.

Of course it does. But up to 5,000 illegals/day is too many. Bring that number way, way down and perhaps re-institute a Trump executive order or two a...

Unfortunately, this thread is the definition of insanity.

Bass High School was an old brick building with dark halls. It stayed fairly cool in there. The dorms at Tech were like that too. My frat house was ho...

I've spoken with her and she is shocked to hear that people think she is grabbing her shotgun and joining a convoy to the Border. What the court rules...

Not being a philosopher what I am getting here includes the following: A causal chain is either finite or infinite. If it is finite it has a first cau...

:up: Something circular going on here. It's a feeling I have had for this entire thread.