jgill

Farmer's work begins before the rising sun and ends after the last vestiges of sunset. The only security they have comes from their own efforts, while...

In my case, my father being a university professor of course presented a professional path that appealed, and when I took up climbing those free summe...

Finally, at the age of 88, with some medical problems,I have begun to understand this conjecture. But, at a younger age, like many if not most of my p...

OK, kids, let's head to the liquor store! And let's permit consensual sex for girls at that age. Oh. and let's bring back the draft, this time for 16 ...

To what extent does an an individual's recollection of an existential turning point in their lives support or negate this pronouncement? I became what...

In mathematics one's imagination leads to new concepts or ways to prove existing conjectures. Then the application of logic finishes the job.

There have been only two instances in my life in which I spent time studying philosophy: As a senior in college (1958) I took an upper level class in ...

I suspect what you mean is "good philosophical thinker". Otherwise you have scientists, engineers, mathematicians,. . . . .

I was on a superb climbing forum (supertopo) for several years until it shut down. Topics like Zen and consciousness along with climbing discussions. ...

Lib = 12 9 2 = 1100 1001 10 :nerd:

It means my politics cannot be described in zeros and ones. Big deal. :nerd:

It would just take spacetime closer and closer to alpha without ever reaching the point of completion. The component of time would shrink, but not col...

Which sparked my interest since I am or was a mathematician. I can model the far future in an imaginative way by considering the passage of spacetime ...

AI with too much makeup.

What a shame.

Not necessarily. My old Democratic party (I registered in 1958) is sick unto death. I hope it recovers.

Thanks. I see I have neglected to reply to the one in question. :yikes:

How does one find the replies he/she made in these PM conversations? All I can find are the incoming messages.

Speculation in the sciences and mathematics has become the fashionable version of philosophy and those who explore those realms of thought, the modern...

Dear Vera, Rest in Peace. A sad time.

(Robert Sokolowski - The Phenomenology of the Human Person) Nicely said. We watch and learn.

IMO logic arose from observing the relationships between physical entities. Cause and effect and so on. But I admit to being very shallow on the origi...

Actually, the Stoney scale is roughly 1/10 the duration of the Planck scale in time measurements. These are simply units of measurements, not ultimate...

As a math prof I would give them a short written quiz. Or, I would discuss the topic with them, one on one, and discover how well they understood it. ...

It's how we are raised. As a child my family moved from city to city every two to three years, so I became conditioned to leave the past behind. One p...

Jan, hello and welcome. The need or exploitation of details depends upon the topic. Discussions of the classical notions of "being" may veer off into ...

Just nit picking, but "reliable description" implies conscious observers. If no observers then reliable description is meaningless.

I'll get around to watching these. I assume Wolfram is still promoting his ideas about Cellular Automata as a foundation for science and math. I bough...

Thanks for bringing to my attention. But I must admit, going on 89, that having turned off the sound I fell asleep part way through. It seems like it'...

Symmetry (function)

23 steps out, 23 steps back.

Comes from {{e}^{i\theta }}=\cos (\theta )+i\sin (\theta ) and {{e}^{z}}=1+\tfrac{z}{1!}+\tfrac{{{z}^{2}}}{2!}+\cdots Is a poetic way of relating the ...

In mathematics, metric spaces are sets of points and a measure of distance between them: d(x,y) such that d(x,y)=d(y,x), symmetry. In the real world, ...

The "length" of any number on R is zero. Numbers are positions on the real line, designated as points, none of which have any "length". (To see if you...

Category theory. Beyond my grasp and interest. Nevertheless, what is an "infinite steaming interaction"? Regarding question 2, consider two horizontal...

I've made the comment on several occasions that the Schrödinger equation, in its simplest form, is a concept from elementary calculus: the instantaneo...

I like your poetic style, but unless you describe this inner progression in at least minimal detail and elaborate on "complicated odyssey" the reader ...

An experiment I read of some time back involved a person reacting to a warning signal without actually being conscious of it. If you are reading a boo...

Sounds like the Peace Corps here in the USA.

In mathematics, a theory has substance when it is deemed important or significant in some way by a community of scholars.

Do you mean blocking the ability to see both sides of an issue? Give some examples please. I don't read lengthy essays.

Not if they speculate within the normal scope of science. But, if they conjecture that action at a distance has religious connotations, or that the un...

How exciting. Be sure and post its image on TPF. :cool:

Good point. Years ago I published a mathematical result that, more or less in this context and under certain conditions, could be interpreted showing ...

I wonder how many original thoughts have been posted on this forum? Fifty years ago my math advisor said, "You might think you have an original though...

I believe the "American Dream" is more along the lines of starting life with little and making a financial success and/or gaining recognition later on...

"x goes to positive infinity" simply means "positive x increases without bound". No need for the word "infinity". Simply shorthand. But, set theory is...

Or the limit concept.

Take the rationals in and form the union with the irrationals in and you get a continuum. They are complementary in the complete interval - which itse...

How does this enter into a discussion of these Zeno type paradoxes? Define the momentum of a point as it progresses to zero. Does the tortoise have mo...