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3 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Stoics avoided universals by paraphrasing 'Man is...' as 'If something is a man, then it is...' [Stoic school, by Long]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
The contradictory of a contradictory is an affirmation [Stoic school, by Diog. Laertius]