Symbolising

Question 1

Examples of conjunctions (A&B)

Answer 1

But 
Yet 
Although/ though/ even though 
Moreover
Further more
However
Whereas

Question 2

Negations ~A

Answer 2

~(A&B) =/ (~A&~B)

~(A&B) = (~Av~B)

Question 3

Neither A nor B

Answer 3

~(AvB)

= (~A&~B)

Question 4

Even if

Answer 4

Presupposes the consequent is true

Question 5

If

Answer 5

Presupposes the consequent is false

Question 6

Only if

Answer 6

Not A if not B = if not B then not A
= ~B –> ~ A
= A –> B

Question 7

P if and only if A

Answer 7

P A

Question 8

Unless 1

Answer 8

A unless B
= A if not B
= ~B–>A

Question 9

Unless 2

Answer 9

Unless A, B
If not A then B
= ~A–>B

Question 10

Conditionals

Answer 10

‘If’ introduces antecedent
‘Then’ introduces consequent
‘Provided that’ and ‘in case’ and ‘on the condition that’ = if

Question 11

Necessary conditions

Answer 11

A is necessary for B Or A if B

If not A then not B = ~A–> ~B

= B –> A

Question 12

Sufficient conditions

Answer 12

A is sufficient for B ( A only if B)
= A –> B

A is not sufficient for B = it is not true that if A then B
= ~(A–>B)
= A & ~B

Question 13

If A then B otherwise C

Answer 13

If A then B, if not A then C

= (A–>B) & (~A–>C)

Question 14

A unless B in which case C

Answer 14

If not B then A and if B then C

= (~B–>A) & (B–>C)

Question 15

Since

Answer 15

Implies & and –> claiming to be true

Since I lost my phone I wasn’t talking to my wife on it
L= lost my phone
W= I was talking to my wife on it

L & (L–>~W)

Question 16

~ (AvB) = ?

Answer 16

~(AvB) = (~A&~B)

Question 17

~(A–>B) =?

Answer 17

A&~B

Question 18

But
Yet
Although
Moreover
Furthermore
However
Whereas

Answer 18

Examples of conjunctions (A&B)