Complex Syllogisms
2 Kinds of syllogisms discussed in this chapter
polysyllogisms
aristotelian sorites
The validity of the polysyllogism is:
dependent upon the validity of all its parts
The process of providing the missing conclusions in a sorites
What is extrapolation?
May be simple or complex
What is an argument?
The Conditional, The disjunctive, The Conjunctive
What are three kinds of hypothetical syllogisms?
What are Chain arguments?
What is a sorite?
a Chain argument which connects the subject of the first premise with the predicate of the conclusion
Form of sorites
All A is B; All B is C; All C is D; All D is E; therefore, all A is E
Polysyllogisms, Sorites, Epcheirema, Dilemmas
What are four kinds of complex arguments?
Constructive and destructive
two valid moods of conditional syllogisms
A polysyllogism...
What is a syllogism that links together several syllogisms in such a way that the conclusion of one syllogism serves as a premise for the next one.
What are Aristotelian sorites and Goclenian sorites?
Only the premise which contains the minor term may be particular
What is Rule #1 for Sorites?
Modus Ponens
What is Affirmative mood?
What is the structure of a polysyllogism?
All A is B; All C is A; Therefore, all C is B; All D is C; therefore, all D is B
Aristotelian sorites
What is a series of Fourth or Indirect First Figure?
Only the premise which contains the major term may be negative.
What is Rule #2 for Sorites?
Modus Tollens
What is mood of denial?
The conclusions of each component.
What is implicit (not explicit or are unexpressed)