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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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invalid
It's actually valid.
valid

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Other answers:

oh
TYPO lol if p then q not q therefore not p THIS is the valid one, sorry
Modus Tollens*
thanks Guys :)
yep
okay, first, we start with p --> q and ~q right?
yeah
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.
yeah
So p is false or q is true. At least one of these must be true, right?
But you also have the assumption q is false (You do not need a coat)
yep
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)
ty Zug <3
anytime

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