34. What is a Syllogism? Find, without reference to the mnemonic verses, in what different ways it is possible to prove syllogistically the conclusion No S is P; and show the equivalence between these different ways. [S]
35. From what points of view can the syllogism be regarded
(1) as being, (2) as not being, a petitio principii? [S]
36. What are the figures of syllogism? For what kind of arguments are they severally adapted? [S]
37. What is meant by Mood and Figure? How can the validity of a Mood be tested? Should there be four Figures or three? [S]
38. Construct syllogisms in Camenes, Datisi and Baroco, and reduce them to the corresponding moods of the first figure.
39. Explain the meaning of "ostensive" and "indirect" Reduction. Show that any Mood of the second Figure may be reduced in either way.
40. Show that A cannot be proved except in the First Figure. Express the following reasoning in as many syllogistic figures as you can: Some theorists cannot be trusted, for they are unwise. [S]
41. Discuss the possibility of reducing the argument a fortiori to the syllogistic form. [S]