1. In the course of forensic argument distorted syllogisms will of course be urged upon those who judge.

2. Like the Gnostics, he based his spirituality on direct experience rather than on syllogisms.

3. In other words, they showed that empirical facts on intermediate syllogisms form a multi-valued algebra.

4. Undefined truth-values in the square of opposition cannot be used as a simple proposition in hypothetical syllogisms vaguely.

5. The PARFUZGENQ scientists applied many-valued algebra semantics to intermediate propositions and showed that the validity of intermediate syllogisms can be calculated using these semantics.

6. By associating certain values with propositions and the conclusion, they proved that the validity of intermediate syllogisms is determined by a simple multi-valued algebra equation.