List any one example of tautology. Represent the following sentences into predicate logic. Not all employees are loyal All students having good attitude are lovable.

Question

List any one example of tautology. Represent the following sentences into predicate logic.  Not all employees are loyal All students having good attitude are lovable.

prajwal khanal · Accepted Answer

One example of a tautology is 'Either it will rain tomorrow, or it will not rain tomorrow.' This statement is a tautology because it is always true, regardless of whether it actually rains tomorrow or not. To represent the given sentences in predicate logic: Not all employees are loyal Let E(x) represent 'x is an employee' and L(x) represent 'x is loyal'. Then the given sentence can be represented in predicate logic as: ¬(∀x E(x) → L(x)) This can be read as 'It is not true that for all x, if x is an employee, then x is loyal.' All students having good attitude are lovable Let S(x) represent 'x is a student', G(x) represent 'x has a good attitude', and L(x) represent 'x is lovable'. Then the given sentence can be represented in predicate logic as: ∀x (S(x) ∧ G(x)) → L(x) This can be read as 'For all x, if x is a student and x has a good attitude, then x is lovable.'

List any one example of tautology. Represent the following sentences into predicate logic.

Not all employees are loyal

All students having good attitude are lovable.

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List any one example of tautology. Represent the following sentences into predicate logic. Not all employees are loyal All students having good attitude are lovable.

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List any one example of tautology. Represent the following sentences into predicate logic.

Not all employees are loyal

All students having good attitude are lovable.