English
Etymology
w:Greek language|GreekCategory:Greek derivations tetra, "four" + l�mma, "auxiliary proposition"
Noun
tetralemma (plural: tetralemmata or tetralemmas)
#A form of eastern logic, or logic propositions.
#*The tetralemma is a derivative of the laws of thought, with reference to any two terms or propositions, labeled A and B, and their opposites non-A and non-B. Four combinations of these four terms are conceivable, namely �A and B� (both), �non-A and non-B� (neither), �A and non-B� and �non-A and B� (one or the other only). According to Aristotelian logic, these four statements are incompatible with each other (only one of them can be true, because if two or more were affirmed then �A and non-A� or �B and non-B� or both would be true, and the latter implications are self-contradictory) and exhaustive (at least one of them must be true, since if they were all denied then �not A and not non-A� or �not B and not non-B� or both would be true, and the latter implications go against the excluded middle). 1
#*The tetralemma is comprised of four propositional formulations expressed positively or negatively.* Where x is any proposition and �x is its negation, a positive tetralemma takes the form of:
::x
::-x
::Both x and -x
::Neither x nor �x Notes on tetralemma
#*This scheme uses the form of the tetralemma (catuskoti) in indian logic as a basis and extrapolates it recursively. In the tetralemma "Everything is either true, or not true, or both true and not true, or neither true nor not true", there are four separate cases. I have combined the first two into one for formal reasons. (Note that Nagarjuna negates all four of them) Music Technology - 11k
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