jgill

I have never thought of boundaries of spacetime. Since both space and time are in essence metaphysical concepts through which we nevertheless function...

What is f=(x,y)? A function is a certain kind of collection of ordered pairs. I suspect you are tacking on a vertical line segment to link the two end...

Gee, thanks. If things weren't complicated enough already with the pseudo-miracle of entanglement. ( f(x)=0 if x<1 and f(x)=1 if x>=1 is already defin...

I like to think JFK, had he been president in 1964 would have taken a more thoughtful and nuanced approach to the Gulf of Tonkin incidents. I suspect ...

Good point. Can one will ones' self into a belief? Possibly in politics.

I was tempted to say anything running over ten pages. But then I recalled Wile's proof of Fermat's last theorem.

I have popcorn ceilings, too. Never think about it. Big deal. I try to always have a math project I can explore - one that no one else has worked on. ...

Nice cats. I am a retired mathematician and my learning style has always required examples. If I try to understand a math concept I need to see it in ...

Dennett is nonsense here, IMO. What is needed is a member of this forum who has multiple personality disorder to speak up. Or possibly this condition ...

Now, that's a nice thought experiment. There would be no concept of time, and aging requires the existence of time it seems to me. This takes one back...

Time doesn't exist for a freely moving photon. But when they are slowed down to a snail's pace time catches up.

Look at what has happened in Argentina where a populist Libertarian arose out of nowhere to take the presidency. True, they had 143% inflation last mo...

A lot will depend upon Trump calming his rhetoric and presenting himself as the more energetic and middle of the road candidate. Stranger things have ...

Start writing a book, young man.

:up:

Logically, he would go directly diagonally across the field. Being tired he decides not to exercise his free will as to another path. I don't get it.

Please don't assume mathematicians are like this in general. Among then you will find musicians and artists. We are not bean counters. :cool:

The Republicans of the Blue state of Colorado had a Centennial Celebration Dinner and did a poll on presidential candidates. Trump won in a landslide....

I dabble with "paths" or contours all the time in complex analysis and find this statement valid but vapid. On a computer screen a path is just a sequ...

Thanks for the 1935 commentary. Husserl and I share an ancestral connection: Karl Weierstrass. Husserl was temporally close the great mathematician, w...

When and where would that be?

Good point. Moving from Newtonian to quantum physics we are forced to replace the tool of ordinary language and analogies arising therefrom to "unders...

I'm not advocating, only saying that IF a two-state solution is sought the journey starts with how children in the areas affected are taught. Young pe...

Oh, have children both inside and outside of Israel been taught a Two State Solution is best?

Tell that to These people.

As a retired mathematician, a "mathematical philosopher" resonates more as someone indulging in mathematical foundations - a topic at the heart of the...

My goodness, those are delightful ! :smile:

I think you may be correct. Many might assume democracy has broken down and a Glorious Leader is the answer.

Point scored for philosophy. :up:

Very nice. I especially like the sense of motion in the water.

Let's pretend the next presidential election has a financial criminal running against what many perceive to be a somewhat demented nitwit and his poli...

The philosophy is being done by the scientists, and some would call it speculation. Philosophical ideas seem to require ream after ream of supporting ...

But "Inch Worm" is cute.

Unless he gets a majority of votes nationwide. Then CO will, by legislative decree, add their support. Don't count The Donald out. In an election in w...

Many thousands of years ago beer was the most popular beverage in Egypt, with pyramid workers getting paid their wages in beer. It was safer to drink ...

Well, in math a singularity is roughly where a function goes haywire, but your interpretation is interesting. (Pure mathematics I have dabbled with su...

Ditto for the thread IMO. There has been a failure for something to have arisen out of nothing.

The last bit of southern pride I recall before leaving the area for good was "GO BAMA !" But when Charlayne Hunter Gault moved into a dorm room at the...

Sorry, I have neither the time nor interest to delve into this. I think number theory may be full of stuff like this, but I never even took a course i...

Yesterday, upon my chair I saw nothing that wasn't there It wasn't there again today I wish that nothing would go away! Were I to sit upon my chair Wo...

That one expression I presented shows it all. The dots are multiplication. When you write out abcabc, like 869869, what you are really expressing is ,...

??

Are you referring to Squaring the circle? Are you sure about your opening statement? Computer programs can actually do this to any preassigned degree ...

Transfinite numbers Don't get lost in the labyrinth.

I was just tossing it out to get your opinion. Sorry for the confusion.

If someone were to say, "Well, empty space has nothing in it", I would say, "But it is inundated with various fields".

I was offering support for your position. I'm old but not that senile. :roll: However, I think you make an empty mountain out of a philosophical moleh...

What about the interior of the empty set? Non-syntactically speaking. But physically, there are fields everywhere inundating empty space. Simplified? ...

My first vote for president was JFK. I have never seen a presidential election like the upcoming one. The potential candidates are like Looney Tune ch...

\frac{{{10}^{3}}\left( a\cdot {{10}^{2}}+b\cdot 10+c \right)+\left( a\cdot {{10}^{2}}+b\cdot 10+c \right)}{1001}=abc