1. Violinists who play well are accomplished musicians. There are some violinists in the orchestra. Therefore, some...
Question:
1. Violinists who play well are accomplished musicians. There are some violinists in the orchestra. Therefore, some musicians are accomplished. (V, P, A, M, O)
2. Pianists and harpsichordists are meticulous. Alfred Brendel is a pianist. Therefore, everyone is meticulous. (P, H, M)
3. If there are any oboists, there are some bassoonists. If there are any clarinetists, there are some flutists. Amelia is both an oboist and a clarinetist. Therefore, some bassoonists are flutists. (O, B, C, F)
4. All timpanists are haughty. If some timpanists are haughty, then some percussionists are overbearing. Therefore, all timpanists are overbearing. (T, H, P, O)
5. All cellists and violinists are members of the string section. Some violinists are not cellists. Also, some cellists are not violinists. Therefore, everyone is a member of the string section. (C, V, M)
Translate the following arguments into symbolic form. Then use either the counterexample method or the finite universe method to prove that each is invalid.
Step by Step Answer:
A Concise Introduction to Logic
ISBN: 978-1305958098
13th edition
Authors: Patrick J. Hurley, Lori Watson