Question

Symbolize the following sentences of English, saying what atomic your letters stand for. Write out these...

Symbolize the following sentences of English, saying what atomic your letters stand for. Write out these sentences so that they are grammatically complete, and also explicit(replace wods 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 not the world's most valuable, but they are the most profound.

2. Van Gogh's pictures aren't both world's most valuable and the most profound.

3. Smith, Brown and Robinson are politicians, yet all three of them are honest. (6 letters)

4. Smith, Brown and Robinson are persuasive, though non of them is honest.

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Answer #1

1. ~V & P.
V =Van Gogh's pictures are the world's most valuable.
P= Van Gogh's pictures are the world's most profound.


2. ~V & ~P.

V =Van Gogh's pictures are the world's most valuable.
P= Van Gogh's pictures are the world's most profound.


3. (S & B & R) & (M & R & O)

S = Smith is a politician.

B = Brown is a politician.

R = Robinson is a politician.

M = Smith is honest.

R = Brown is honest.

O = Robinson is honest.

4. (S & B & R) & (~M & ~R & ~O)

S = Smith is persuasive.

B = Brown is persuasive.

R = Robinson is persuasive.

M = Smith is honest.

R = Brown is honest.

O = Robinson is honest.

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