The statement issued by Ofcom today - saying that the investigation into phone-hacking lies properly in the hands of the police and the courts although they are monitoring the situation closely - suggests they are rather sitting on the fence on how they will apply the "fit and proper" requirement to this situation.
Aquinas' thesis is that lying, properly defined, is always to be excluded as to some extent wrong.
Two possibilities may occur: either is a vertex of, or lies properly on the unit interval joining the vertices of some edge.
A point whose complement has more than one continuum component is known as a weak cut point; so a point is a weak cut point if and only if it lies properly between two other points in the K-interpretation of betweenness.
(In the parlance of [22], if (c) lies properly between (a) and (b) in the Q-interpretation, (c)separates(a from(b).) The paper contains no proofs, but instead promises a more comprehensive treatment in a later work (which sadly has never appeared).
The two interpretations do agree in a locally connected (mathsf T _1) space; regardless of agreement, though, a point (cin X) is a cut point of (X) if and only if (c) lies properly between two other points in either the C- or the Q-interpretation.
Let (X) be a connected topological space, and define the ternary relation ([a,c,b]_C) to hold for (a,b,cin X) just in case either (cin {a,b}) or (a) and (b) lie in different components of (X{setminus }{c}.) This is the C-interpretation of betweenness in a connected topological space; a point of (X) is a cut point if and only if it lies properly between two other points in the C-interpretation.
It featured Baby Fark McGee-zax saying the line from the episode, "I ain't going to space jail!" The second features the two Intergalactic Police officers with the words, "You don't seem that excited about your first contact with alien life", and the third features Randy reciting his instructions to Stan about how to lie properly.
If the person who lied to you is a child (not an adult child), seek professional help if you don't know how to handle the lying properly.
