Deductive arguments symbols, definitions and truths

Question 1

Atomic proposition

Answer 1

simple sentence (can’t be broken down into simpler propositions) e.g. cats are rude

Question 2

Complex proposition

Answer 2

2+ atomic propositions e.g. I am going to Bali (1) even though it is hot (2)

Question 3

Propositional connectives

Answer 3

Join atomic propositions

Question 4

Not. Symbol: ~

Answer 4

Negation

Question 5

And (can also be represented by “although”). Symbol: &

Answer 5

Conjunction

Question 6

Or. Symbol: V

Answer 6

DIsjunction

Question 7

If… then… Symbol: ↩️ (horseshoe)

Answer 7

Conditional

Question 8

If and only if. Symbol: (three lines on top of each other)

Answer 8

Biconditional

Question 9

Negation is true when

Answer 9

its constituent proposition (the negand) is false

Question 10

Conjunction is true when

Answer 10

both of its conjuncts are true and false otherwise.

Question 11

Disjunction (inclusive) is true when

Answer 11

at least one of its disjuncts are true

Question 12

Conditional is false when

Answer 12

it has true antecedent (first atomic proposition) and a false consequent (second atomic proposition). True otherwise.
e.g. if there are three people in this room, then there is one person in this room.

Question 13

Biconditional is true when

Answer 13

antecedent (first atomic proposition) and consequent (second atomic proposition) have the same truth value i.e. both true or both false. False otherwise.

Question 14

If there is a full stop and then a new sentence this should be represented shorthand by a…

Answer 14

Comma