17. (a) You have the following list of 400 sentences: Exactly 1 of the sentences

Question

17. (a) You have the following list of 400 sentences: Exactly 1 of the sentences on this list are false. Exactly 2 of the sentences on this list are false. Exactly 3 of the sentences on this list are false. Exactly 4 of the sentences on this list are false. Exactly 399 of the sentences on this list are false. Exactly 400 of the sentences on this list are false. Is this list a list of 400 propositions? You must carefully reason out your answers! (b) You have the following list of 400 sentences: At least 1 of the sentences on this list are false. At least 2 of the sentences on this list are false. At least 3 of the sentences on this list are false. At least 4 of the sentences on this list are false. At least 399 of the sentences on this list are false. nces on this list are false. Is this list a list of 400 propositions? You must carefully reason out your answers! (c) Answer part (b) if the list contains only the first 399 sentences, but not the 400-th one.

Explanation / Answer

Part a) yes, there are 400 propositions available in the given sentences...although there 400 prepositions are not exhaustive and we can add 1 more preposition to this i.e. None of the sentences on the list is false... Hence, there are 401 preposition available in total

Part b)  yes, there are 400 propositions available in the given sentences...although there 400 prepositions are not exhaustive and again we can add 1 more preposition to this i.e. None of the sentences on the list is false

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