jgill

Indeed. My late ex-father-in-law, a Hungarian aristocrat - exchanged letters with Wigner, and he translated a few of these for me. I don't find it sur...

Mathematics is a very social endeavor. We explore, discover or create the subject, then place our results on paper, then digitalize and submit for oth...

Are you saying divisibility cannot be "divided up" and/or sets displaying "evenness" cannot be divided up? For example, the set of even numbers can be...

Good luck. Beware of serious babble on this thread. :roll:

Perhaps 1 is necessary, but not sufficient for 2. Just babble from my perspective.

Of course, "whole math" is not "based" on natural numbers. But they did come first. It was a start, like a path of a thousand miles, one step at a tim...

Well said. Starting with the natural numbers, which are ways to distinguish objects and converse about quantities, mathematics has grown to virtually ...

Would you elaborate, please?

Action at a distance might be momentary separations of time from spacetime. If space only exists all things are connected instantly.

When the government gives money directly to citizens for a particular purpose that money may seem like an invitation to celebrate in various ways rath...

Yeltsin groomed Putin for his political ascension. Then resigned. No accident.

I find it interesting that the PSR and P of Causality seem to overlap regarding mathematical causality chains. Clearly sufficient reason and sufficien...

Under certain conditions, time separates from spacetime. Or not.

Potential is the intersection of space and time. Or perhaps a synonym of an instant in time. Just rambling.

Were the phenomena nefarious it would not have the blinking colored lights similar to aircraft. Unless they are meant to be seen and the magnitude of ...

You mean all the science fiction books are real stories? Or merely exist in the authors' minds.

As an ex prof I never thought about it, and I don't recall hearing the expression, but I suppose it could be appropriate.

I asked ChatGPT a question about an obscure mathematical topic, specifically how I might proceed to explore a particular aspect. It gave me an accurat...

I've mentioned this before, but it has relevance here. There was a PhD mathematics student who investigated a class of functions for his original rese...

Please do. Would some aspects of thought or ideas fall into this category? Spacetime?

:up: Sometimes a little poetry succeeds where pages of prose do not.

As a former prof I never gave much thought to a definition. But this is OK.

A conversation is between two entities. I don't see how you separate from Chat with what you have presented. But when I clicked on the link I saw how ...

Overly simplistic IMO. Although mathematical proofs are applications of logic.

Is that entire commentary the product of ChatGPT or some sort of blending of what the AI said and what you propose? Poetic, but a tad nonsensical.

H. Mearns Antigonish (couldn't resist) :cool:

:up:

Interesting. My experiences back in the 1970s were that my lucid dream self was more aware than my normal self. I felt myself pure will. The first ins...

I retired as a math prof 24 years ago, so practices may have changed. No one in the department used the internet as a substitute for a required text, ...

I agree. My adventures with the Art of Dreaming were across the spectrum from elemental lucidity to a strong reality, an awareness, more pronounced an...

Math and philosophy overlap. I asked the AI a question about a math topic that is somewhat unique, the question being how would it suggest I move ahea...

The AofD experiences I had 40 or so years ago were astounding in several ways, the most pronounced being a wakening into a world more vivid and "real"...

Thank you for your accounts of personal experiences. I will comment on each over the next day or so. You are the closest to my mystical adventures. Af...

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Personal experiences relating to philosophical/mystical subjects. Not ramblings about dead philosophers. (My apologies to TPF members) :gasp:

I practiced meditative exercises 60 years ago, thanks to Alan Watts and others and the "Zen Boom", along with existentialism. Then later followed Cast...

Personal narratives and philosophical speculations thereof. Don't write about Zen unless you are or have been a practitioner, e.g. (In general, don't ...

Well written details of personal experiences rather than philosophical ramblings should have priority.

:up:

Back to the OP momentarily, I think a spectrum of reality is a better approach then degrees of reality, the latter implying a sort of ranking. Eastern...

No offense. Sorry if I mistook a serious OP for a bit of humor. :chin:

Hmmm . . . so the common triangle is a non-degenerate triangle. I doubt I ever used the expression, "degenerate". But I see it's popular on Wikipedia....

True enough. But I wonder if some of the oddities coming out of quantum theory might lie in that nebulous zone between the two extremes. My thoughts r...

A professor is not a teacher? I assume you mean pre-college instructor. Sorry, but this thread is a joke. Have a chuckle and move on.

I recommend a length requirement, say one page. And how do you deal with AI? Perhaps open it up to AI with each participant asking for a short essay o...

We need a metric space whose points are things that are real. Then a distance function for pairs of points. But first, one needs to decide what "real"...

Thanks. Another new word for me.

I'll go one step further. A deeper question is whether the spectrum of reality is continuous. As Einstein inferred, the moon exists - and our imaginat...

It's mathematics without the math. :roll:

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