Symbolization

Question 1

Given a, b

Answer 1

a -> b

Question 2

a provided b

Answer 2

b -> a

Question 3

a only if b

Answer 3

a ->b

Question 4

only if a, b

Answer 4

b->a

Question 5

although a, b

Answer 5

a and b

Question 6

a iff b

Answer 6

a b

Question 7

a unless b

Answer 7

a v b

Question 8

neither a nor b

Answer 8

~(a v b)

Question 9

No more than on (a, b, c) will d (no equality)

Answer 9

~(all possible combinations of two) \

Question 10

neither a nor b will c, except when b or a is d

Answer 10

(a won’t p or b is d) and (b won’t p or a is d)

Question 11

Exactly two among (a, b, c) will d (no equality)

Answer 11

(a and b) and ~c) or (a and c and not b) etc

Question 12

all and only a are b

Answer 12

a iff b

Question 13

a and b, who are c, are d only if e

Answer 13

for all a then if d then e and for all b then if d then e and for all a then c and for all b then c

Question 14

a and b who are c are d only if e

Answer 14

for all a who are c, then if d then e, and for b

Question 15

If any a does b, then no c does d unless a does d

Answer 15

if exists a and b, then non exists c and d or exists a and b