In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 24 Mrz., 20:57, fom <fomJ...@nyms.net> wrote: > > > > Please answer this question (the best way for our readers to > > > understand the difference between pot. and act. infinity): > > > What is the difference between the Binary Tree that constains only all > > > finite paths and the Binary Tree that contains in addition all > > > actually infinite paths? > > > > The first does not exist. > > Another interesting opinion. But why does it not exist?
Either the tree is not a binary one, or it will necessarily contain at least one infinite path
Here is the schematic for a binary tree with one and only one path of each positive finite length.
Note that it also and necessarily has an infinite path of 0 nodes.