Let the universe of discourse be the sort of French words. Let P(x) be the sente

Question

Let the universe of discourse be the sort of French words. Let P(x) be the sentence "Bob does not know x." Let Q be the sentence (Forall x)P(x) and let R be the sentence (x)P(x). Suppose Marie says -Bob does not know a word of French and Jacques replies -Which word?" Which of the two sentences Q and R do you think Marie meant by what she said and which of these sentences did Jacques think she meant? Comment briefly on what this example illustrates about how everyday language compares with the language of logic, with respect to precise expression of meaning.

Explanation / Answer

Marie refers to the sentence Q i.e she means to say that Bob doesn't know a single word in French which means he doesnt know any of the French word . Jacques thought she refers ro statement R that Bob doesnt know one word of French. . With this example we can clearly understand the difference between for all and there exists. Q statement refers for all i.e. Bob doesnt know French at all and R statement refers there exists a word in French which Bob doesnt know

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