Lecture 2.2 Syllogistic Theory
Prior Analytics
-table of being (categories) and syllogistic
Categories the terms are treated atomical when predicated. The
ultimate subject is the primary substance
E and O are not part of analysis
Syllogistic: no primary substance; “hyparchein” rather than”kategoreisthai”.
abstraction in letters ABC.
indifferent to the has/is distinction
white is said of some man; male is said of some man are treated identically in syllogistic.
But the quantification suggest a logic of class inclusion
-but examples of terms, e.g. “good, state, wisdom” or “white, horse, swan” do not suggest any commitment to individuation. And Aristotle uses the term
Venn diagram.
assertions: affirmation and denials (true/false)
terms: major, middle, minor
syllogism: deduction, demonstration
premise: demonstrative, dialectical
universal, particular, [indefinite]; affirmative negative
A: all B is A (AaB)
E: no B is A (AeB)
I: some B is A (AiB)
O: some B is not A (AoB)
Square of Opposition
A contrary E
subaltern x subaltern
I subcontrary O
Conversion Rules for A,E,I
A to I; E to E; I to I
Valid Syllogisms:
1. Barbara, Celarent, Darii, Ferio
2. Cesare, Camestres, Festino, Baroco
3. Darapti, Felapton, Disamis, Datisi, Bocardo, Ferison