Relevant logic's rejection of ex falso is therefore justified on either dialetheist or paraconsistent grounds, but VSP as the stated mechanism is neither necessary nor sufficient for either justification.
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necessary and sufficient conditions(in philosophical analysis)
A 'necessary' condition is something that must be true for something else to happen; a 'sufficient' condition is something that guarantees it will happen. This phrase describes what must be true (and what's enough) for a definition to apply.
relevant logic(Contrasted with classical monotonic logic where X ⊢ A implies X,Y ⊢ A for any Y)
A logical system that restricts premise combination so that all premises must bear some relevance to the conclusion; adding irrelevant material does not preserve entailment