Which of the following arguments are valid down the argument symbolically. (a) I eat chocolate if I am depressed. I am not depressed. Therefore I am not eating chocolate. (b) I eat chocolate only if I am depressed. I am not depressed. There- fore I am not eating chocolate. (c) If a movie is not worth seeing, then it was not made in England. A movie is worth seeing only if critic Ivor Smallbrain reviews it. The movie Cat on a Hot Tin Proof was not reviewed by Ivor Smallbrain. Therefore Cat on a Hot Tin Proof was not made in England.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following arguments are valid? For the valid ones, write
down the argument symbolically.
(a) I eat chocolate if I am depressed. I am not depressed. Therefore I
am not eating chocolate.
(b) I eat chocolate only if I am depressed. I am not depressed. There-
fore I am not eating chocolate.
(c) If a movie is not worth seeing, then it was not made in England. A
movie is worth seeing only if critic Ivor Smallbrain reviews it. The
movie Cat on a Hot Tin Proof was not reviewed by Ivor Smallbrain.
Therefore Cat on a Hot Tin Proof was not made in England.
Transcribed Image Text:Which of the following arguments are valid? For the valid ones, write down the argument symbolically. (a) I eat chocolate if I am depressed. I am not depressed. Therefore I am not eating chocolate. (b) I eat chocolate only if I am depressed. I am not depressed. There- fore I am not eating chocolate. (c) If a movie is not worth seeing, then it was not made in England. A movie is worth seeing only if critic Ivor Smallbrain reviews it. The movie Cat on a Hot Tin Proof was not reviewed by Ivor Smallbrain. Therefore Cat on a Hot Tin Proof was not made in England.
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