I need the entire worksheet completed, it is for a homework assignment. There has been a tutor already that has completed this work on studypool but the work is done poorly and is also wrong. I need this to be done correctly as it is a homework assignment. I am having trouble completeing it and need it for tomorrow by 11.
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PHIL111 940 ASSIGNMENT #4 (Units 8-9)
[total =10 marks + 3 marks extra credit!]
1. Construct proofs for the following, without using C.P. or I.P. (= Unit 8) [1
a. S = ~ (D Ú C), (S . (T ? W)), ~ (~ Y ? W), ~ B = ~ (C Ú T)
/ ~ (B Ú Y)
b. (A . F) ? (C Ú G), ~ (C Ú (F . G)), F = ~ (X . Y), ~ (X Ú ~ W)
/ ~ (A Ú X)
c. Q = ~ (A Ú B), P ? ~ (Q Ú ~ T), ~ (S ? ~ W), (Q ? X) ? ~ (S . W)
/ ~ (P Ú B) . ~ (X v A)
d. (W Ú T) ? ~ A, ~ (X ? S), ~ (T Ú S) ? ~ X, C ? (P . S),
(D ? (C . E)) = X / ~ ((C v D) Ú (A v S))
2. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9) [1
a. A ? (B Ú C), C = (E . F), ~ (F Ú B) / ~ A
b. A ? ~ (X . Y), B = (D Ú ~ F), ~ (D Ú W), F = ~ Y / (A . B) ? ~ X
c. ~ A ? (E ? (B Ú C)), S = ~ (D Ú C), T ? (S . ~ B), ~ A Ú C
/ T ? ~ (D Ú E)
d. (~ C . (F Ú E)) Ú (C . ~ (F Ú E)), F ? ~ B, (A ? ~ C) = ~ (X ? E)
/ B ? C
3. Construct proofs for the following theorems (= Unit 9) [1 mark each].
a. (~ (p . q) = (s Ú r)) ? (~ (p ? ~ s) ? ~ q)
b. p = (p . (q Ú ~ q))
c. ((p ? q) . (q ? r)) Ú (r ? p)
d. ((p Ú q) ? (r . ~ s)) ? (s ? ((t . w) ? ~ p))
4. Symbolise and construct proof for the following argument, providing
the dictionary for each (fully-written) simple sentence. No abbreviations
for simple sentences will be accepted! [1 mark].
If the cat is ill, either she was fighting or ate too many mice. She was
fighting only if she was attacked, and she was attacked only if either
the large Siamese or the small Beagle was out. The large Siamese
was out only if it was sunny, and the small Beagle was out only if it
was warm. It was neither warm nor sunny, but the cat is ill. Therefore,
she ate too many mice.
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