In psychotherapy, paradoxical intention is the deliberate practice of a neurotic habit or thought, undertaken to identify and remove it. The concept was termed by Dr. Viktor Frankl, the founder of Logotherapy, who advocated for its use by patients experiencing severe forms of anxiety disorders. Used as a counseling technique in which the counselor intensifies the client's emotional state in order to help the client understand the irrationality of the emotional reaction. It is also thought to derive its powerful effectiveness, not from understanding anything, as understanding often lacks the power...

In finite geometry, the Fano plane (after Gino Fano) is the finite projective plane of order 2, having the smallest possible number of points and lines, 7 each, with 3 points on every line and 3 lines through every point. The standard notation for this plane, as a member of a family of projective spaces, is PG(2,2) where PG stands for "Projective Geometry", the first parameter is the geometric dimension and the second parameter is the order. == Homogeneous coordinates == The Fano plane can be constructed via linear algebra as the projective plane over the finite field with two elements. One can...