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21 Cards in this Set

  • Front
  • Back

The Enthymeme

A syllogism missing one of the propositions

Sorites

a series of syllogisms without conclusions
Progressive


Regressive

Progressive Sorites

First premise contains the subject


(Rule: only first premise may be particular, only last negative)

Regressive Sorites

Last premise contains the predicate


(Rule: only first premise may be negative, only last particular)

The Epicheirema

a syllogism with a causal premise (a "double syllogism")


Every Doctor is smart because they study hard.


Lenny is a Doctor


Therefore, Lenny is smart

Compound Syllogisms

Conditional


Disjunctive
Conjunctive

Conditional Syllogisms

the first proposition contains an "if...then" statement

Disjunctive syllogism

the first preposition contains an "either...or" syllogism

Conjunctive Syllogisms

the first proposition contains two contradictories

Expository Syllogisms

have a singular middle term

p, q, r, s

propositions

sideways 'U'

implies

~

not

. :

therefore

v

or as in, "either...or"

& or (dot)

and

triple line thing

if and only if

Purely Hypothetical Syllogism

contains only sideways 'U'

Valid conditional syllogism

Affirming the Antecedent (AA)


Denying the Consequent (DC)

Invalid Conditional Syllogisms

Affirming the Consequent (AC)


Denying the Antecedent (DA)