Write well-formed formulae of following statements(i) Person respe

Question

Write well-formed formulae of following statements

(i) Person respected by every other person is a king.

(ii) Some, who are intelligent, can’t read.

16 Sep 2022

Answer :

Word Count : 1098

To write well-formed formulae of the statement "Person respected by every other person is a king," we first need to define the necessary terms and logical symbols.

Let us define the following:

Let "P(x)" be the predicate that person x is respected by every other person.
Let "K(x)" be the predicate that person x is a king.

Using these definitions, we can now express the statement "Person respected by every other person is a king" using the logical symbols of first-order logic:

∀x(P(x) → K(x))

This formula can be read as: "For all x, if x is respected by every other person, then x is a king."

In words, this formula expresses the idea that any person who is respected by every other person must be a king. This is a commonly used form of definition in philosophy, where we define a concept by specifying the necessary and sufficient conditions for something to fall under that concept.

To further clarify the meaning of this formula, we can break it down into its constituent parts. The "∀x" symbol indicates that the ___ _______ _____ ____ _____ ____ ____ _________ _______ __________ _________ _____.
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