Michael MorenoI prove the law of non-contradiction by assuming that it doesn't exist and then showing that this leads to external and internal contradictions which necessitate it's existence.
Syllogism translated: 1. Premises can contradict. 2. 1 is a premise. 3. 1 can contradict 4. (Premises can contradict) and (Premises cannot contradict) This internal contradiction produces a double bind in which allowing contradiction prevents contradiction, and the only way to prevent this is to also prevent contradiction
Triggering internal contradiction through external contradiction: 5. 4 is a premise 6. (4 can contradict) and (4 cannot contradict.) 7. {It is true that [it is true that (Premises can contradict) and (Premises cannot contradict)] and not true that [(Premises can contradict) and (Premises cannot contradict)]} and it is not true that [it is true that (Premises can contradict) and (Premises cannot contradict)] and not true that [(Premises can contradict) and (Premises cannot contradict)]}
This will continue in an infinite regression unless contradiction is rejected, collapsing the entire argument and proving that premises cannot contradict.
Proving the Law of Non-Contradiction Through ContradictionMichael Moreno2020-01-12 | I prove the law of non-contradiction by assuming that it doesn't exist and then showing that this leads to external and internal contradictions which necessitate it's existence.
Syllogism translated: 1. Premises can contradict. 2. 1 is a premise. 3. 1 can contradict 4. (Premises can contradict) and (Premises cannot contradict) This internal contradiction produces a double bind in which allowing contradiction prevents contradiction, and the only way to prevent this is to also prevent contradiction
Triggering internal contradiction through external contradiction: 5. 4 is a premise 6. (4 can contradict) and (4 cannot contradict.) 7. {It is true that [it is true that (Premises can contradict) and (Premises cannot contradict)] and not true that [(Premises can contradict) and (Premises cannot contradict)]} and it is not true that [it is true that (Premises can contradict) and (Premises cannot contradict)] and not true that [(Premises can contradict) and (Premises cannot contradict)]}
This will continue in an infinite regression unless contradiction is rejected, collapsing the entire argument and proving that premises cannot contradict.