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Strange phenomena drive a lot of otherwise surprising features of systematic theories, phenomena that buck the usual cases and demand an explanation that goes beyond the obvious norm. This is so not only in philosophy but in all cases of systematic truth-seeking theorizing, from science to theology. For present purposes, let truth-theoretic paradoxes (e.g., liars, etc.) be our paradigm of strange phenomena. In the face of such phenomena many have advanced an account according to which logic is nonclassical. Against such accounts W.V.O. Quine [36] famously argued from a principle of conservatism (viz., minimal mutilation of current theory) and the premise that classical logic is the status quo to the conclusion that, because nonclassical logic appears to reduce (or at least not increase) explanatory power of many true theories (e.g., maths, physics, more), one should reject nonclassical-logic responses to strange phenomena. All of this (and more) is familiar. Also familiar is that Quine’s argument, despite the valuable pragmatist methodology that drives it, is often seen to plainly fail as an argument against nonclassical-logic accounts of strange phenomena. Perhaps the biggest reason for the failure, setting aside his unfortunate charge of ‘changing the subject’, is that Quine’s argument precludes nonclassical logic from the get-go – the central premise claiming both that classical logic is the ‘status quo’ and that conservatism in our methodology requires us to maintain the status quo (short of some resoundingly loud recalcitrant data that leaves no other option but to dive to the deeper depths of subclassical or otherwise nonclassical logic). In short, Quine’s argument simply doesn’t touch target nonclassical accounts since it locks them outside from the start. Can one do better by way of the Quinean argument? Timothy Williamson

On Williamson's new Quinean argument against nonclassical logic