Five Reasons Not to Be a Non-Transitivist

1) It offers absolutely no benefits over paraconsistent approaches except for nominally validating modus ponens

2) Higher-order vagueness is way less intuitive with three-valued logic than with modal operators. There’s a lot less flexibility in what rules you can make it follow

3) The principle of tolerance fails given the existence of a sorites sequence (it also succeeds, but still)

4) It probably counts itself as borderline true (and therefore tolerantly false)

5) It prevents a unified treatment of the nonfactual. Metaethics can’t be solved by using a nonclassical logic, but there are ways of extending classical theories to accommodate morality

 

 

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