English connectives Symbolised

Question 1

J or S (but not both)

Answer 1

(J ∨ S) ~(J ∧ S)

Question 2

Neither A nor B

Answer 2

~(A ∧ B)

Question 3

‘if’ always introduces …?

Answer 3

the antecedent

Question 4

‘then’ always introduces …?

Answer 4

the consequent

Question 5

J even if S

Answer 5

J → S

so the same as ‘J if S’, but ‘even if’ pragmatically presupposes S

whereas ‘if’ pragmatically presupposes ~S

Question 6

Jay loves only Kay

can also be said as…?

Answer 6

he does not love anyone except Kay

Question 7

Exactly one of the following happened:

David won or
Victoria won

can be written as… ?

Answer 7

(D ∧ ¬V ) ∨ (V ∧ ¬D)

Question 8

Exactly one of the following happened:

David won or
Victoria won or it was a tie.

can be written as… ?

Answer 8

(((D ∧ ¬V) ∧ ¬T ) ∨ ((V ∧ ¬D) ∧ ¬T ) ∨ ((T ∧ ¬D) ∧ ¬V ))