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@3RU7AL
- If you can't prove Proposition #1 is true, then it leaves open the possibility that Proposition #2 is true. It doesn't mean Proposition#2 IS true, but rather COULD BE true - Likewise, if you can't prove Proposition #2 is true, then it leave open the possibility that Proposition #1 is true. It doesn't mean Proposition #1 IS true, but rather could be true
All alligators are crocodiles, but not all crocodiles are alligators.**
You are mis-understanding my illustrations of the Law of Non-Contradiction. Your alligators vs crocodiles statement are not necessarily contradicting propositions. The law of non-contradiction states two contradicting propositions can not both be true at the same time in the same sense.
Proposition 1 - X is an alligator
Proposition 2 - X is not an alligator
Both 1 and 2 can't be true at the same time in the same sense
Proposition 1 - X is a crocodile
Proposition 2 - X is not a crocodile
Both 1 and 2 can't be true at the same time in the same sense
Proposition 1 - All alligators are crocodiles
Proposition 2 - all alligators are not crocodiles
Both 1 and 2 can't be true at the same time in the same sense
Proposition 1 - X is True
Proposition 2 - X is Not True
Both 1 and 2 can't be true at the same time and in the same sense.
