Paraconsistent logic and Classical logic as comlpimentary
Posted: Tue Feb 26, 2019 5:02 pm
Every classical logician understands the three laws of thought.
Identity: (A == A) is True
LEM: (A OR not A) is True
LNC: (A AND not A) is False
P1: The laws of Classical logic are the universal laws of thought.
P2: IF we violate the law of identity THEN LNC will be violated also.
Proof that premise P2 is false follows: https://repl.it/repls/StrangeLiquidPolyhedron
Conclusion1. It is not always necessary to adhere to the law of Identity.
Conclusion 2. We can use Para-consistent logic to contradict Classical logic.
Conclusion 3. The classical laws of logic are not universal.
Identity: (A == A) is True
LEM: (A OR not A) is True
LNC: (A AND not A) is False
P1: The laws of Classical logic are the universal laws of thought.
P2: IF we violate the law of identity THEN LNC will be violated also.
Proof that premise P2 is false follows: https://repl.it/repls/StrangeLiquidPolyhedron
Conclusion1. It is not always necessary to adhere to the law of Identity.
Conclusion 2. We can use Para-consistent logic to contradict Classical logic.
Conclusion 3. The classical laws of logic are not universal.