Lessons 23-26 Flashcards
valid syllogism
a syllogism in which the conclusion is necessarily true given that the premises are true
depends ONLY on the form, NOT the truth of the statements
sound syllogism
a syllogism which is valid AND has true premises
2 ways to test the validity of syllogisms
- counter-example
- rules
counter-example
another syllogism with DIFFERENT TERMS but the SAME FORM as the original,
with obviously TRUE PREMISES and a FALSE CONCLUSION, which proves the
original syllogism to be invalid
distributed term
term that, within a statement, refers to ALL MEMBERS of its class/category
distrubuted terms in A, E, I, & O statements
the subjects of universal statements and the predicates of negative statements are
distributed
5 rules for valid syllogisms
- Middle term must be distr. in at least 1 premise
- Any term distr.in concl.must be distr.in itspremise
- Cannot have 2 negative premises
- Cannot have neg. prem. with aff. concl
5.Cannot have 2 aff. prem. with neg. concl.
5 corresponding fallacies for syllogism rules
- Fallacy of Undistributed Middle
- Fallacy of an Illicit Major/Minor
- Fallacy of 2 negative
premises - Fallacy of neg. premise & aff. Conclusion
- Fallacy of 2 aff. premises and neg. conclusion