Intro to Logic - Negation & Double Negation

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An explanation of the following rules in formal logic: Negation & Double Negation
  1. Jessica Katz
  2. Intro to Logic
  3. Formal Logic
  4. Philosophy
  5. Negation
  6. Double Negation
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Be thankful for another day and another opportunity to get better bless up!

mgangtv
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You can phrase a double negation in various ways ("I do not not eat pizza"; "It is not the case that I do not eat pizza"). Both of these are logically equivalent with the proposition "I eat pizza" (they have the same truth values). You are right that it is more succinct to say, "I eat pizza", but when doing logic we need to keep a double neg (ie, ~~P) distinct from a simple proposition (ie, P). That is partly because double negations are logically unique (have different roles) from simple props.

jessicakatz
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How do you phrase a double negation? Would the double negation of "I eat pizza" be " I do not not eat pizza"? or "It is not the case that I do not eat pizza"? If so, then wouldn't it be simpler for the double negation of "I do not eat pizza" to be " I do eat pizza"? I am confused.

DiminishedStudios
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Is there something wrong with this vid? At first it says 11 minutes, then it ends abruptly at 40 seconds.

Skipper
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am i the only one who hears the cat meow at 4:15?

xxhelloyou