Liste des Groupes | Revenir à math |
WM <wolfgang.mueckenheim@tha.de> wrote:
Points either are or are not. The points that are include one point next to zero.All unit fractions are points with uncounably many points between eachYes, OK.
pair.
Hence all must be visible including the point next to zero, but theyThere is no point next to zero.
are not.
Of course, the core is dark.A shrinking infinite set which remains infinite has an infinite core.Again, no. There is no such thing as a "core", here. Each of these sets
has an infinitude of elements. No element is in all of these sets.Try to think better. A function of sets which are losing some elementsThat is untrue. For any element which you assert is in the "core", I
but remain infinite, have the same infinite core.
can give one of these sets which does not contain that element.
TheThe infinite sets contain what? No natural numbers? Natural numbers dancing around, sometimes being in a set, sometimes not? An empty intersection requires that the infinite sets have different elements.
"core" is thus empty.
Shrinking sets which remain infinite have not lost all elements.That argument is absolutely definite, a logical necessity. If youIt wasn't an argument, it was a bare statement, devoid of any supporting
cannot understand it, ....
argument.
I understand it full well, and I understand that it'sImpossible. You don't understand that all sets are infinite and cannot have lost all elements.
mistaken.
Les messages affichés proviennent d'usenet.