Question

Which of these is a valid conclusion?

Answer 1

All carpenters make furniture.
Patrick is a carpenter.
Therefore Patrick does not make furniture.

All carpenters make furniture.
Patrick is not a carpenter.
Therefore Patrick makes furniture.

All carpenters make furniture.
Patrick makes furniture.
Therefore Patrick is a carpenter.

All carpenters make furniture.
Patrick does not make furniture.
Therefore Patrick is not a carpenter.

Answer 2

All carpenters make furniture. Patrick is not a carpenter. Therefore Patrick makes furniture.

Answer 3

how so?

Answer 4

i think its correct

Answer 5

how does that make sense?

Answer 6

the answer is
All carpenters make furniture.
Patrick does not make furniture.
Therefore Patrick is not a carpenter

Answer 7

i think that as well

Answer 8

the first two don't make sense at all. this is a problem of proposition logic.
let p be the statement : All carpenters make furniture.
let q be the statement : Patrick makes furniture.
in the 4th case, p is true, q is false. so p=>q is false. so negation of p=>q is true which is the statement that Patrick is not a carpenter.

Answer 9

thank u!