jgill

Each day recently arXiv.org has received about 200 research papers in math. Many of these are "uncoupled from empirical experience", yet thousands of ...

These are very rigid statements that are beliefs, not facts. You should indicate as such. Should a philosopher state their beliefs as facts?

In a sense. An appeal to the authority of consensus.

In my case the true meaning is a dual observation: giving one piece of information when viewing from one perspective, and another when viewing from th...

Your conclusion does not logically follow. I have a mathematical expression that can be interpreted two distinct ways, each of which is valid and "cor...

Were (are) you an aeronautical engineer or Naval person? I know little of rotation theory, but the gimbal lock problem can occur in one of these schem...

(Cambridge English Dictionary) How could you!!!!! :worry:

Well, that's an interesting approach to mathematics. I'm always curious about how laymen interpret the subject. :cool:

You refer repeatedly to "sets". Care to expand on that ?

The fact they may explain it using slightly different words does not imply they interpret a theorem differently. Even if they do there is a specific i...

Way too vague. Weight, size, shape, etc. involve different mathematical expressions. Although fundamental particles have properties, spin, momentum, e...

This thing needs to go to the Lounge.

Not sure where set theory comes into play here. Quaternions are more algebraic and geometric. But I will admit the part of calculus I least enjoyed te...

Not true. I may open a math paper on a topic with which I am unfamiliar and guess at what it is about, but this in no way opens the theorems therein i...

It's interesting you have come upon a well-kept secret within the mathematics community. I, myself, have witnessed such rants at the top echelons of t...

Not so. This "theory" is composed of a number of specific theorems not open to individual interpretation. But the "meaning" of this theory certainly i...

Necessary to allow the goodness to pour forth. :cool:

Which perhaps you might have clarified in your OP. Since this is more a religious discussion I'll bow out.

Lots of non-linear material out there. That's where the study of differential equations gets interesting. So much more.

I'm not so sure. Does a theory of infinite compositions of complex functions exist? Why yes, it does exist. I should know. Lots of other examples.

Welcome to the forum, junior :cool: It needs more youngsters like you! The union of the sets {a,b,c} and {d,e} is the set {a,b,c,d,e} which is "greate...

Could be. I'm only commenting on parts of his gigantic book I've read. Mostly it is what you would expect of a mathematical physicist: lots of physics...

I have Penrose's book (2004) and have read portions over the last few years. The subtitle is "A Complete Guide to the Laws of the Universe" , and I do...

We seem to be looking at a common notion from different perspectives. I assume you are a CS person (?). First of all a student in a math class is more...

I think you may have misinterpreted the Wikipedia article: There is no "pausing" and "restarting", only a reference to subsequences leading toward a l...

Within mathematics proofs are the product of reasoning. However, in physics a mathematical process may show effectiveness without a reasoned proof. Fe...

I find 3. particularly appealing. What might be the first step along this path?

Hmm :chin: What nonsense.

Thanks. That's enough.

Apart from Cantor's speculations I never came across this idea. It can't be applied to sets so it sits out there in an unattainable splendor, ignored ...

His instructions for the Art of Dreaming worked the first time I tried it. So simple.

I learned my skill from Castaneda's The Art of Dreaming, a succinct source though interwoven with Mexican Indian folklore. There is a wide spectrum of...

:up:

And that is not "thinking"? Like mathematics, in modern philosophy it might be difficult to come up with truly original ideas.

Fractals are generated by simply iterating certain complex functions. They are not "infinite spaces" but images on computer screens. The iteration pro...

dx may be arbitrary, but dy depends on dx and is not arbitrary. That's where the observed function comes into play. Maybe you are talking about someth...

Yes. It's a remarkable experience. The imagery of normal reality is a compromise between what is incoming through the senses and internal processing. ...

Not bad. :chin:

As a young climber Crowley had a wicked sense of humor. I've wondered from time to time if he made his career as the creator of Thelema with tongue in...

I'm willing to concede that my colleagues and I have produced mathematical contributions that are worthless, but calling classical mathematics "junk l...

On a curved surface. Straight lines otherwise. We're talking 3D, not 4D space-time.

The thread goes well beyond recognized perspectives into imaginative realms.

Take another sip, my friend, then off to bed. :yawn:

I'm familiar only with Bergson and his debate with Einstein. The amateur, Peter Lynds, brought this into modern times with his controversial article a...

I'm curious if academic philosophers get seriously involved with issues like What's the big mystery about time? ?

The word "exhaustive" has a meaning here that most mathematicians would ignore. "f(x)=2x for all x that are positive integers" pretty much says it all...

I rather like the idea of philosophy of a topic one is unaware of. So what would be step one?

:rofl: You've been watching Another Life on Netflix, right?

Don't stop now! :gasp:

The charm of TPF :roll: