Arguments + Invalid/Valid/Sound

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Published on ● Video Link: https://www.youtube.com/watch?v=HdNor42KcTw



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Today we talked about what an argument is, and the three types of arguments: invalid, valid but not sound (which I call "valid" for short) and valid and sound (which I call "sound" for short).


Definitions:
An "invalid" argument is one where the logic doesn't work. It doesn't matter if the premises are true or not.


For example if I said:
Premise 1: A horse has four legs
Premise 2: A chair has four legs
Conclusion: A horse is a chair


This would be invalid. Even though both premises are maybe true, it doesn't matter, since the logic doesn't hold. Just because two things share a property doesn't mean that they are in the same group. For example, an apple is red and a bullseye on a target is red, but an apple is not a bullseye (most of the time).


A "valid" but not sound argument has the logic work, but one or more premises be false. For example:


Premise 1: Diet Coke is a soft drink containing sugar
Premise 2: Soft drinks containing sugar are probably not good for your health
Conclusion: Diet Coke is probably not good for you health


A "sound" argument is one in which the logic works and also the premises are true.


Premise 1: All humans are mammals.
Premise 2: A lizard is not a mammal.
Conclusion: Humans are not lizards







Tags:
csci 1
logic
invalid
valid
sound
arguments