Points of singularity, whether in the physical world or mathematics, allow bizarre behavior in their neighborhoods. I dabble in the complex plane wher...
Busy day for the moderators. I'm not chasing after anything with philosophy; I'm simply watching it flow past like a murky stream. The days of the cla...
Certainly not. I would be happy to vote for Joe Manchin for president should he be the democratic nominee in 2024. I seem to recall that Tocqueville m...
This concept from dynamical systems is sometimes assumed to exist in many if not all circumstances. In fact, the opposite can occur: disturbances in o...
Of the categories listed the anti-vaxxers should be dealt with by a federal mandate requiring most receive the shots. Climate change mitigation can be...
What's the problem? Thinking? Is that a burden? The OP poses a question, not a problem. One answers a question and solves a problem. Is this really th...
(Wikipedia) This is what it was when I took the course in the late 1950s. By the 1970s this attitude had begun to change. Now, atmospheric science enc...
It's entertaining to see efforts to shoe-horn Tegmark into the mix of classical philosophers and philosophical theory. But I think the gentleman is in...
I'm probably the only (ex) meteorologist on TPF and I wish I could provide an answer, not to the ongoing arguments about deleterious effects of humani...
Here's something I've looked into on numerous occasions that bears some resemblance to this topic. Instead of dealing with 0 to 1 or 1 to 0, this is a...
Why? This leads nowhere, nor does it prove anything. It does, however, resemble something I looked into a few months ago concerning convergence of inf...
Here's a good intro to the subject: Nonstandard Analysis I shudder when I say this, but there might be something to this idea. Just a feeling, since t...
Infinitesimals are the subject of modern non-standard analysis, and were one of Leibniz's playthings. Occasionally a calculus course is taught from th...
I consider String Theory to be metaphysics. And Leibniz's infinitesimals. But I'm probably in error. The Metaphysics Research Lab at Stanford delves i...
If you are not familiar with a certain area of mathematics it would make little sense. Has to do with the convergence of infinite compositions of para...
I suppose physical space might. I'm not saying it does. But infinitesimals are rarely used as such in math that is not non-standard analysis. However,...
Highly debatable. Unless you understand the math you don't understand the theory. Do you? If so, you are ahead of me. I've puzzled over the legitimacy...
At a very grass roots level, his assertion that all mathematical structures exist in some physical way is a real stretch. I have no luck envisioning a...
I know the discussion doesn't need an actual mathematician chirping in, but I will nevertheless. Inventiveness in the subject has gone far beyond this...
I think QM has pushed physics to circumnavigate speculating about a conscious observer and stick to the math, which seems highly predictive. Unfortuna...
There are approximately 400,000,000 guns in the USA, more than one per human. And most of those guns were well-made and very durable - designed to las...
I didn't know Possible Worlds was a philosophical concept going back to Leibniz ("Best of all possible worlds"). I see how alternative histories would...
I suspect you mean in all possible worlds we can imagine. Otherwise, how could one possibly know this? How can one describe a "possible world"? Click ...
Well, you just roll around on the floor, missy! :razz: I was at university with this fellow:Mihaly C., and he went on to elaborate on the experience, ...
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