Symbolize the following sentences of English, saying what atomic sentences your letters stand for. Write out these sentences so that they are grammatically complete, and also explicit (replace words like ‘they’ and ‘it’ with the phrases which they stand for in the context). Be sure that your simple sentences do not contain any connective-words, and that you do not use two sentence-letters for what is essentially the same English sentence. Use the suggested sentence-letters where given, and use no connectives other than ‘~’, ‘&’ and ‘∨’.
1. Van Gogh’s pictures are the world’s most valuable, yet they are not the most profound. (Use ‘E’, ‘P’)
3. Van Gogh’s pictures are neither the world’s most valuable nor the most profound.
5. Neither digital computers nor neural networks can simulate every aspect of human intelligence, though each can simulate some. (D, N, E, O)
12. It never rains but it pours. (R, P) [Hint: (12) is a saying to the effect that troubles don’t come just in ones and twos but in large numbers.]