jgill

It Kant be.

Looks like you've defined a fixed point of some function. But I doubt that is what you mean?

Pleasant observation. :chin:

Having had many experiences in the Art of Dreaming years ago, I recall the first thing I thought of when I was first successful was, "Now I understand...

After watching Biden as president it's a reverse Sophie's choice I fear. We'll keep that in mind.

It's unfortunate this kind of language is used for this purpose. Heisenberg and Bohr cautioned against thinking of this as a physical process or havin...

You think the national GOP is bad, look at the Texas version: When I was a kid in Texas I would wear my cowboy hat and shoot my cap pistol while singi...

Not exactly a stunt, but close: The Bogdanoff Affair

I seem to have missed this thread when it ran seven months ago. Kenosha Kid gave some good answers to questions about recursive vs iterative. I usuall...

:up: I despise policies set forth on the far right as I despise those set forth on the far left. Where is the middle these days? I'm dropping a party ...

My advisor said that regarding mathematics a half century ago. Didn't buy it.

History of Interest Rates in America

I love the poem, but beyond that is the fact that Khayyam is an academic ancestor of mine, having written about mathematical continued fractions - a t...

:up:

:roll: "The Rubaiyat" by Omar Khayyam (Fitzgerald translation I think)

Journals are overflowing, so the possibilities of mistakes and intentional deceptions is fairly high. In math it's impossible to keep up with new subj...

Two comments that really prove nothing: 1. I took over a 5.25% mortgage when I bought a house in 1972 and the going rates were 8% - 9%. I was told "Yo...

I don't see the other possible cause: The federal government printing and giving away too much money.

An infinitesimal monad attempts to gain substance by adding itself to a number . . . . but fails 5+m=5 :cry:

The wedding of two monads: m+m=m

Born into the prevailing religion. But over two millennia ago it offered a kinder, gentler God than the brutal gods of the time. Also, it garnered sup...

I find this quote from wiki to be interesting:

This is all physics and a discussion between two people. It's admirable, but why not on the lounge?

The Less-is-more effect is a positive outcome of heuristics, which itself is a small part of the very large cognitive bias spectrum. Math people use h...

I'll speak to mathematics publications. First, open access journals are no more legitimate than the several large academic posting sites, including Ar...

When I taught complex variables, a senior level mathematics course, I would resort to heuristics in order to encourage understanding of principles and...

On the other hand, confirmation bias distorts news all the time and is a threat to democracy.

I speculate my specialty (infinite compositions of complex functions) is a solution awaiting a problem. :cool:

That's what grad schools are for. Although there are some spectacular examples of this from undergraduates and drop-outs, it doesn't happen that often...

What of history, particularly that of democracy? How does our government work? What of the sciences? I don't see that the two areas you describe are n...

In all my years as a mathematician, however, I must confess that I have never worked in applied mathematics. Like most in my profession, I explored an...

You mean there are those who do take it seriously? :snicker:

It's interesting that the expression, metamathematics , coined by Hilbert a century ago, is much easier to describe than the more archaic metaphysics....

Perhaps you could summarize this idea of Sartre's briefly.

The word metaphysics should be eliminated from discussions of science. It is archaic, like a lady two hundred years ago suffering from the vapors afte...

In science,metaphysics is an archaic word replaced by speculation in science.

At first glance one might conclude that the masters of generations long past did it all due to the ongoing discussions about those philosophers. On th...

Dynamical systems (causal) can be so complicated that stochastic-correlational is the only way to work with them. Pretty much all it takes are functio...

Wolfram (creator of Mathematica) attempted to convince the scientific community that cellular automata were at the heart of virtually everything physi...

As a mathematician who never gave much thought to Platonic ideals, my rather superficial view is that these ideals do not exist in any sort of physica...

You and me both. The math I explore has strong visual components, but not from nature. Patterns in the complex plane mostly. Look at my icon.

:up:

I'm surprised your PhD program didn't have this as a requirement. But, like math, there are many paths to follow.

So much confusion about Quantum theory occurs because those who are not physicists try to take mathematical descriptions (they probably do not underst...

Sorry, but I think such speculations are ridiculous.

We learn by observing nature. Then we take those observations and extract their essences.

Interesting observations. My ex-wife's father, a friend of Wigners, was an architect and intellectual in Hungarian society. He had no use for organize...

Bat Masterson and others with their tales of the Wild West. Every generation having veterans of a previous war. ???

Welcome back, quantum mysticism. "Collapse of the wave function!" carries us away from Earthly distractions into the cirque of the gods where ectoplas...

It's a mystery to me. All I know is we mathematicians observe physical phenomena and extract and abstract patterns.