The old computer science observation: "Garbage in = garbage out" But I realize I am guilty of judging philosophical arguments from the perspective of ...
Apathy is a lack of interest, whereas being overly patient demonstrates a lack or suspension of judgement regarding an anticipated action or outcome. ...
Wiki: "An Achilles' heel or Achilles heel is a weakness in spite of overall strength, which can lead to downfall. While the mythological origin refers...
To measure the degree of patience is subjective, although at extremes there might be consensus. Most would consider it "overpatient" to wait for a rep...
The key word is "viewing." Zeno's condition doesn't actually stop the arrow, it observes the arrow at an instant. But the idea I advanced is not origi...
From a mathematician's perspective, many, if not most, philosophical issues lack closure and are endlessly debated - sometimes with very fuzzy definit...
From Einstein's Autobiographical Notes, a thought experiment he had at age 16: "...a paradox upon which I had already hit at the age of sixteen: If I ...
Sorry, guys. My point is that an assumption of nominalism in physical nature is not required if one speculates about nominalism of numbers and other m...
I don't wish to belabor the point, and, to keep it elementary and overly simplistic, avoiding the unpacking, the example {{F}_{n}}(z)=f\left( {{F}_{n-...
From Physics StackExchange: Reversibility in Physics " The point is that you can't focus on the particle alone and have reversibility. If you focus on...
Explain what you mean by "which is, in a technical sense, reversible". Please provide a reference. "In mathematics, a dynamical system is time-reversi...
From Wiki: "In mathematics, a dynamical system is time-reversible if the forward evolution is one-to-one" (most of the functions I've used fail to be ...
From: https://royalsocietypublishing.org/doi/full/10.1098/rsta.2015.0161 "This fact leads to a paradox if one ponders the reversibility and predictabi...
In fact, one of the protocols of math is never read mathematics without a paper and pencil nearby. And an anecdote I've mentioned before: The maid of ...
I'm not clear about this. I've always assumed (and I could be very mistaken) that "time reversibility" is just a quirk arising when describing a physi...
There is a vast universe of mathematics that has existence as potential. All the logical derivations that lie in wait to be discovered, accompanied by...
Certainly mathematics is a social enterprise. And what constitutes a proof is a kind of consensus among those who practice mathematics. However, when ...
https://math.stackexchange.com/questions/1052299/what-is-a-simple-example-of-an-unprovable-statement Some mathematicians love this sort of thing. Not ...
Of course. But who knows what lies beyond mathematical horizons? Certainly in my modest experience mathematical research strongly favors determinism, ...
Wouldn't be too sure of that. Speculative notions like the multiple universe theory might have a bearing. If it were possible to somehow influence the...
Not quite, but close. The sequence actually converges uniformly to the hypotenuse, but arc length is not necessarily preserved under uniform convergen...
That doesn't seem so paradoxical to me. Is there another, perhaps more mathematical, paradox buried in this optical illusion? Cabbage farmer It's call...
Not being a philosopher I interpret this as instinctive (fight or flee), and thoughtful (typical low-pressured problem solving). Am I missing a subtle...
Sorry to interrupt your discussion, but even though I am a retired math prof I continue to learn about mathematics results by following some of these ...
Can you give a reference to this claim, something beyond an Eastern religious doctrine? In my opinion, as humans we reach our potential not by avoidin...
Mathematics and physics are interwoven, but basically they are separate disciplines. Normally in physics when existing math seems inadequate physicist...
Mathematical research problems are frequently resolved by diligent thought for a period of time, then relaxing the mind and going about one's daily ro...
I know very little about game theory other than Nash's work involved attracting fixed points (which I've dabbled with), but I'll be interested in what...
Wrong paradox, Tim. The wiggly curve converges uniformly to the line segment while its length tends to infinity. Sorry I don't have the image. Back to...
As individual steps shrink in size, the inside corner point - the part of the step furthest from the imaginary limiting line if that line is visualize...
I tend to look at this through the lens of approximation theory which at times breaks down a process defined over an interval, to minute steps. Rieman...
If you were to cite any degree of magnification, I could find an n such that the approximating figures would appear to be the curve in question. :nerd...
"Seems to more and more approximate . . . " The key to dissolving the apparent paradox is to calculate the error in approximation for each tiny right ...
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