jgill

Would this thread be considered good physics or bad physics? I can't tell because its a foreign language for me. :chin:

Math maker here. Where the hell is my tax refund!! :confused:

Since I last checked 137 math papers have been uploaded to ArXiv. The rate of research in math is staggering, as are the number of specialized topics....

No. Limits don't usually arise in the elementary aspects of the discipline. But boundedness certainly exists for figures like circles and ellipses. Ho...

Analysis at arXiv runs about 25% of the papers in math in May. Foundations 2.13%. Surprisingly, topology runs only 3%. Algebra and its offshoots looks...

It's natural that on a philosophy forum discussions of mathematics will mostly lie within the intersection of philosophy and math. I've mentioned in t...

It's notation for an infinite composition like . . . g3(g2(g1(z))). Ultimately the result comes from the structure of functional equations.

That probably beats my expansion (for z=1): ArcTan(z)=\underset{k=1}{\overset{\infty }{\mathop L}}\,\frac{2z}{1+\sqrt{1+\tfrac{1}{{{4}^{k}}}{{z}^{2}}}...

You two are going at it, hot an heavy. I'll steal away.

I think you are being too literal. I am working on a conjecture right now, as I have on others on and off for fifty years, with a sort of pleasing fer...

You are expecting too much of us. We are mere mortals, and few of us commit ourselves to this challenging task.

No no no. It's what you feel, not what you know. You are thinking like a logician. :gasp:

Au contraire, he was right!

In my naivete I once thought of a set as a collection of things called elements. Then I learned the error of my ways. Now I try to avoid thinking of t...

I had a colleague, a fellow math prof, who was a devout Catholic. I once asked him what he thought it was that we do as mathematicians. He said, "We a...

That sounds exciting! Sorry I missed it. :lol:

Hmmm. Live and learn. :chin:

I don't mess with infinities. Others here do.

Whoa! That is quite an assumption. :scream:

Common practice is pretty rigorous once you accept the axioms.

For your next trick, do one of an earl. :cool:

How do you feel your campaign is doing? Has it been worth the struggle? Have there been casualties? Are you holding up? :chin:

In a way this describes this thread. :roll:

That's what I might do. The metaphysics could be fun, though. :cool:

What of the air inside the garage, inhabiting its space and therefore part of the garage? You open the garage door and the air dissipates as it flows ...

MU knows so little of mathematics and yet is so confident. It's almost an admirable trait . . . but not quite.

The garage defines the space within it, that space is not part of the garage. The garage door is part of the garage, the cement floor is part of the g...

As has been noted, there are various ways of opening the doors of perception that, once experienced, render philosophy inconsequential. My initial exp...

If you become a subscriber ($/month) you can upload images. Otherwise to link them it seems you need a source that is secure.

And they should know better! :gasp: (The good and bad threads should be combined under the rubric, Physics Jabber.)

Most practicing mathematicians at one time or another spend a short period contemplating this question. Then they move on and do mathematics. My thoug...

You have developed a personal philosophy based on LL. Congratulations.

No. I have implied the order of the sequence. It's not arbitrary. A more mathematical format would be (a,b,c,d,e). This omission may have confused you...

Bingo! Really? "The square of the wave function, ?^2, however, does have physical significance: the probability of finding the particle described by a...

I was unaware of that, thanks. It was Gauss who coined the phrase I quoted and he is a mathematical deity! :cool: He also claimed number theory to be ...

From the Stanford entry: "One way to distinguish between science and religion is the claim that science concerns the natural world, whereas religion c...

Why would another prime decomposition, P2, arise if not for a computer implementing this layer logic? Thus, avoid disturbing results by ignoring layer...

The sequence a,b,c,d,e is a sequence of five letters. e is letter five. Like a leaf in a stream, floating quietly in sluggish waters, but skimming pas...

Good troll thread, eh doctor? :cool:

Possibly because simple ideas like "and" and "or" are defined as type, whereas set theory is not so bizarre. Maybe not.

There are unique coordinates? I take it you mean two objects don't occupy the same space at the same time. What does "one of a kind" have to do with c...

To say nothing of the nature of the waves, ocean waves vs probability waves - all the same stuff apparently. The more esoteric ones travel through the...

Actually, it's a refreshing departure from the babbling brook. :cool:

I've always considered this nonsense. But his mathematical ideas had great merit. :cool:

At first glance I might think, How absurd. But these days there are lots of things in highly abstract mathematics that are beyond my pale, so maybe th...

So, a particle of time has speed, which is defined by the particle of time? Time, like space, simply is. How we perceive time can vary dramatically, h...

There's too much here for a professional physicist to deal with. No wonder they have left the premises. :sad:

Well, I gather you've had your three cups of coffee, Tim! Thanks for explicating what should be axiomatic on a philosophy forum. :cool:

Ignore them. Yes, this is easy to say, but could be difficult to do. It depends on how attenuated the community is regarding ethnic issues. Remember, ...

Suggestion: Put a click link to the paper on researchgate to facilitate reading it. Use the little handcuffs above the message space.