PREDICATE LOGIC

Which phrase that not indicates UNIVERSAL QUANTIFIER?

• For all

• For every

• For each

• For some

Which phrase that not indicates EXISTENTIAL QUANTIFIER?

• There exist

• There is a

• For each

• For some

"All" is a phrase that indicates

• Universal Quantifier

• Existential Quantifier

Symbol for EXISTENTIAL QUANTIFIER

• ∃

• ∀

• v

• ¬

Symbol for UNIVERSAL QUANTIFIER

• ∃

• ∀

• v

• ¬

"Every" is a phrase that indicates

• Universal Quantifier

• Existential Quantifier

"Some" is a phrase that indicates

• Universal Quantifier

• Existential Quantifier

"There exists" is a phrase that indicates

• Universal Quantifier

• Existential Quantifier

Let M(x) = x loves Mathematics,

where x consists of all students.

Translate ∀xM(x) into English sentence

• All students love Mathematics.

• Some students love Mathematics.

• There exists students love Mathematics.

• There is a student loves Mathematics.

Let M(x) = x loves Mathematics,

where x consists of all students.

Translate ∃x¬M(x) into English sentence

• There is a student who is does not love Mathematics.

• There is a student who is loves Mathematics.

• All students does not love Mathematics.

• All students love Mathematics.