Rewrite the following sorites in standard form, reducing the number of terms when necessary. Then supply the
Question:
Rewrite the following sorites in standard form, reducing the number of terms when necessary. Then supply the intermediate conclusions and test with Venn diagrams.
1. No B are C.
Some D are C.
All A are B.
Some D are not A.
2. No C are D.
All A are B.
Some C are not B.
Some D are not A.
3. No S are M.
All F are S.
Some M are H.
All E are F.
Some H are not E.
4. Some T are K.
No K are N.
Some C are Q.
All T are C.
Some Q are not N.
5. All B are C.
No C are D.
All E are A.
All A are B.
Some E are not D.
6. All M are non-P.
Some M are S.
All K are P.
Some non-K are not non-S.
7. All non-U are non-V.
No U are non-W.
All V are Y.
No X are W.
All Y are non-X.
8. All D are non-C.
All non-B are non-A.
Some E are D.
All B are C.
Some non-A are not non-E.
9. All non-L are non-K.
Some K are M.
All P are non-L.
No non-N are M.
No Q are non-P.
Some N are not Q.
10. All R are S.
No non-V are T.
No Q are non-R.
No non-Q are P.
All T are non-S.
All V are non-P.
Step by Step Answer:
A Concise Introduction to Logic
ISBN: 978-1305958098
13th edition
Authors: Patrick J. Hurley, Lori Watson