Midterm 1 Flashcards
A proposition
“All S are P” becomes “No S are P”
Transformation A
Switch subject and predicate
Transformation B
Change the quality of proposition
E proposition
“No S are P” becomes “All S are P”
I proposition
“Some S are P” becomes “Some S are not P”
O proposition
“Some S are not P” becomes “some S are P”
Complement
An expression which denotes the class whose members consist of everything that falls outside the class denotes by the original term
Initial term- iguanas
Compliment- “non-iguanas” or “things that are not iguanas”
Transformation C
Replace 1 or more terms with their compliments
Transformation a example
Before- some Iguanas are not excellent singers
After- some excellent singers are not iguanas
Transformation B example
Before- some iguanas are not excellent singers
After- some iguanas are excellent singers
Transformation C example
Before- some iguanas are excellent singers
After (predicate only)- some iguanas are things that are not excellent singers
Operations types
Conversion
Obversion
Contraposition
Conversion and example
Transformations (A) only
Original: all macadamia nuts are items banned in the classroom
Converse: all items banned in the classroom are macadamia nuts
Obversion def and examples
Transformation: B and C (predicate only)
Original: All macadamia nuts are items banned in the classroom
B- no macadamia nuts are items banned in the classroom
C- no macadamia nuts are items permitted in the classroom
Obverse: No macadamia nuts are items permitted in the classroom
Contraposition def and example
Transformation: a and C (subject and predicate)
Original: all macadamia nuts are items banned in the classroom
A: all items banned in the classroom are macadamia nuts
C: All items permitted in the classroom are things that are not macadamia nuts
Contrapositive: all items permitted in the classroom are things that are not macadamia nuts
Equivalences
Proposition- A
Proposition- A: All S are P
Obverse (equivalent)
Converse (not equivalent)
Contrapositive (equivalent)
Equivalences
proposition E
Proposition- E: No S are P
Obverse (equivalent)
Converse (equivalent)
Contrapositive (not equivalent)
Equivalence
Proposition I
Proposition- I: some S are P
Obverse (equivalent)
Converse (equivalent)
Contrapositive (not equivalent)
Equivalences
Proposition O
Proposition- O: some S are not P
Obverse (equivalent)
Converse (not equivalent)
Contrapositive (equivalent)
Obverse equivalent for which proposition
A/E/I/O
Converse equivalent for
E/I
Converse not equivalent for
A/O
Contrapositive equivalent for
A/O
Contrapositive not equivalent for
E/I