jgill

Fool's gold.

You seem fascinated by this anomaly. It's a kind of summation result for series that don't converge in the mathematically acceptable manner. Here's a ...

Profound or not? Something or nothing? :roll: I appreciate you playing along with my bullshit. :smile:

Sorry, Bob. See if you can parallel what he did in a short paragraph. A clear example with less abstraction. Give a clear example of the principle of ...

When one tries to do analytic continuation of the Riemann Zeta function where it is not warranted this kind of nonsense results. What makes it useful ...

Tones-in-a-deep-freeze is more an expert in this area. I'm from the generation of naive set theory. Your use of infinite is a philosophical excursion ...

Finitism simply avoids infinity. There is no such thing as the "largest number" as far as I know. Here's where you are going (Wiki):

:lol:

The ultimate question of metaphysics is, "What is the ultimate question of metaphysics?" It all breaks down to computing the path integral of the symm...

Not at all. I just pop in now and then whenever math is mentioned and provide my perspective. Most in my profession are not in foundations. In the mos...

Infinities can appear at singularities. This is the notion of infinity as unboundedness and/or non-infinite but bizarre behavior at such points. What ...

Our friend, AS, inquired about an upper bound on numbers used in physics formulas. I assume both theoretical and practical. If strictly practical perh...

Nice :smile:

The dismal science. :cool:

"Highly disputed" within a certain, relatively small, subset of mathematicians. Dispute Over Infinity Divides Mathematicians Sorry to have gotten off ...

Renormalizations & Regularizations

Years ago a French mathematician I knew made the statement, "The one thing I cannot forgive is stupidity". I disagreed. A stupid move by an intelligen...

Renormalizations :roll:

Precisely. In ordinary math we have an identity (valid for all or most values) and conditional equation (valid for a select set of values). 2(x+1)=2x+...

It's simply a process that's unbounded. In math an actual infinite potential (I've never heard it called that - but I don't live in that mathematical ...

There's no significant dispute that I know of. Most of us not in foundations or set theory are not concerned with "actual" infinity. I assume what you...

Quite a few mathematicians don't go beyond "potential" infinity. We're not all like Buzz Lightyear.

Suppose there was an upper bound to the Lorentz factor, \gamma < M. Then the free variable v would also be bounded below c, which, in theory and thus ...

Calculations in physics. The Lorentz factor is unbounded.

Agent Smith is poking at us. He is much more intelligent than he seems.

Afraid I was gone by then. But reading about him I can see a connection with what Mihály made his life's work. Was there a common school of thought th...

:clap:

This thread seems a little ridiculous. Call then laws or rules or whatever. They work, and I suppose the question is whether they will always work.

Not really. He has split the GOP, and now I think I saw a poll indicating at least 50% of them are more or less anti-Trump. But it's a sad state of af...

I'm a little skeptical of a "science of mind". (Wiki) However, this thread has made me aware of a new kind of mathematics supporting cognitive science...

It's not surprising these are in the general area of cognitive sciences, a more or less scientific discipline that combines aspects of philosophy with...

Alexandre, an occasional poster on TPF, presented a paper that began with the encoding of every fact in the universe. That would be a big step towards...

Assume for a moment that science is a huge ocean liner moving slowly through a deep sea. Where do you see philosophy in this picture?

Curious what @Fooloso4 and @Manuel have to say. :chin:

From special relativity, the Lorentz factor is unbounded as v approaches c. \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}

There appears to be progress in the philosophy of mathematics, but I try to avoid it. :cool:

I'll get back to you after consulting my copy of Schaum's Outline of Quantum Mechanics.

No. Chaos theory is a mathematical subject in dynamical systems in which slight variations at the beginning of a specified time period produce chaotic...

Yes. J.P. Morgan analysts say there is the possibility of gas going up to $15 a gallon here in the US. Guess which party gets the most votes regardles...

That's a tough question. I think there are at least three forum members who post here who have doctoral degrees in philosophy (perhaps more), so one m...

Sure, just fix whatever large number you wish and round off to that number. But you might make a mess of computations that follow. In physics renormal...

Why is it I think you are not serious? :smile:

Your supposition may not be valid. But entertaining idea.

Just as mathematics is the language of the quantum world, it's probably the language of any sort of world beyond the Big Bang, or the ends of time, an...

As you are far more a philosopher than me, I cannot argue the issue. :cool:

The obvious one, quantum mechanics. Predictions are highly if not entirely mathematical, many stemming from Schrödinger's equation, given here in stri...

Imagine this comment coinciding with me misreading "drugs" as "dogs"? :chin: Serendipity

I would say that rather than explain nature, science develops models, mathematical or otherwise, that predict happenings in nature. Philosophy might a...

Here in Colorado the citizens voted to give up our individual votes for president (electors) to whomever wins the nation-wide majority. There are cond...

You are approaching my level of succinctness on this forum. But I stay a step ahead by not posting.