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Determine if the argument is valid or invalid. Give a reason to justify answer.
If it is cold, then you need a coat.
You do not need a coat.
∴ It is not cold.
 one year ago
 one year ago
Determine if the argument is valid or invalid. Give a reason to justify answer. If it is cold, then you need a coat. You do not need a coat. ∴ It is not cold.
 one year ago
 one year ago

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zugzwangBest ResponseYou've already chosen the best response.3
TYPO lol if p then q not q therefore not p THIS is the valid one, sorry
 one year ago

zugzwangBest ResponseYou've already chosen the best response.3
okay, first, we start with p > q and ~q right?
 one year ago

zugzwangBest ResponseYou've already chosen the best response.3
Well, what does it mean if p implies q? It means either p is false, or q is true, right? Because if p is not false, or p is true, it automatically implies q is true.
 one year ago

zugzwangBest ResponseYou've already chosen the best response.3
So p is false or q is true. At least one of these must be true, right?
 one year ago

zugzwangBest ResponseYou've already chosen the best response.3
But you also have the assumption q is false (You do not need a coat)
 one year ago

zugzwangBest ResponseYou've already chosen the best response.3
p is false OR q is true. At lease one of these statements is true, and it's NOT the second statement, because we assumed q is false. Then it must be the case that the first statement is true (p is false) or (It is not cold)
 one year ago
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