Changes

A term is 'taken universally', not only when it is the subject of a universal proposition, but when it is the predicate of a negative proposition. A term is 'taken particularly', when it is either the subject of a particular, or the predicate of an affirmative proposition.

A term is 'taken universally', not only when it is the subject of a universal proposition, but when it is the predicate of a negative proposition. A term is 'taken particularly', when it is either the subject of a particular, or the predicate of an affirmative proposition.

===the invention of the middle term===

===The discovery of the middle term===

The third part of the book contains rules, general and specific, for the invention of a middle term. The general rule is to consider both terms of the proposition to be proved; their definition, their properties, the things which may be affirmed or denied of them, and those of which they may be affirmed or denied. These thingsare the materials from which the middle term should be taken.

The third part of the book contains rules, general and specific, for finding a middle term. The general rule is to consider both terms of the proposition to be proved; their definition, their properties, the things which may be affirmed or denied of them, and those of which they may be affirmed or denied. These thingsare the materials from which the middle term should be taken.

 

The specific rules are to consider the quantity and quality of the conclusion, in order to determine in what mode and figure of syllogism the proof is to proceed. Then find a middle term which has that relation to the subject and predicate of the proposition to be proved, which the nature of the syllogism requires.  

===The resolution of syllogisms===

===The resolution of syllogisms===