Certain articles I read did not specify if they pertained to math or physical reality, therefore I presume both. Just because you can't see it or imagine it doesn't mean it can't exist, therefore I'm within my rights to demand an article specifying it can't exist in physical reality (along with some proof).wtf wrote: ↑Tue Apr 10, 2018 6:59 pmWhy yes Phil, I did check Wikipedia's article on Cantor. There I found:Philosophy Explorer wrote: ↑Sun Apr 08, 2018 1:17 am
Wrong on both counts.Actual solid objects are made up of points, but the size of the object has no relationship to the size of the set of the points within the object. Who are these people who think this? Mathematicians such as Cantor for one. Have you checked Wikipedia?
Cantor's philosophy on the nature of numbers led him to affirm a belief in the freedom of mathematics to posit and prove concepts apart from the realm of physical phenomena, as expressions within an internal reality.
Again: ... concepts apart from the realm of physical phenomena ...
If you know of any specific work of Cantor's in which he claims that mathematical points have anything to do with the physical universe, please feel free to supply that citation.
To the contrary, as Arising_uk repeatedly notes, dimensionless points are purely mathematical abstractions. In physics, nothing smaller than the Plank length can be sensibly spoken about or measured. Physicists build particle colliders to look for quarks, bosons, neutrinos, and the like. But there has never in the history of physics ever been a grant proposal or research program to find dimensionless points. That's because there are no dimensionless points in the physical world. Dimensionless points are mathematical abstractions. Dimensionless points are useful for doing physics but they are not themselves physical.
I'll add that I'm disappointed but not surprised that you never replied to my post in which I debunked your erroneous notions regarding the cardinality of the real numbers. You seem to read snippets of text on Wikipedia, extrapolate false conclusions, and then close your mind to reason.
PhilX