First-Order Logic in Predicate Logic

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Which type of logic is considered more expressive than propositional logic?

Predicate logic

Why is the assertion 'x > 1' not a proposition in itself?

It requires the value of x to be defined

What distinguishes first-order logic from propositional logic in terms of what it assumes about the world?

Objects, relations, and properties

In first-order logic, what are 'brother-of', 'bigger-than', and 'part-of' examples of?

<p>Relations between objects</p> Signup and view all the answers

Why can't the argument 'All men are mortal. Socrates is a man. Then Socrates is mortal' be expressed in propositional logic?

<p>It involves quantifiers like 'all' and 'is a'</p> Signup and view all the answers

Which of the following is an example of a constant symbol in First-Order Logic?

<p>2</p> Signup and view all the answers

What does the universal quantifier '∀' represent in First-Order Logic?

<p>For all</p> Signup and view all the answers

How is the statement 'Everyone at WU is smart' represented in First-Order Logic using quantifiers?

<p>∀x At(x, WU) ⇒ Smart(x)</p> Signup and view all the answers

In First-Order Logic, what does the existential quantifier '∃' indicate?

<p>Exists for some objects</p> Signup and view all the answers

How can the statement 'Siblinghood is a symmetric relationship' be represented using nested quantifiers in First-Order Logic?

<p>∀x,y Sibling(x,y) ⇔ Sibling(y,x)</p> Signup and view all the answers

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