Ruth Weintraub

It seems obvious that our beliefs are logically imperfect in two ways: they are neither deductively closed nor logically consistent. But this common-sense truism has been judged erroneous by some philosophers in the light of various arguments. In defence of common sense I consider and rebut interpretative arguments for logical perfection and show that the assumption espoused by common sense is theoretically superior, and capable - unlike its rival - of accounting for the informativeness of mathematics. Finally, I suggest that common sense opens the way to genuine disputes about the correct logic.

Fallibilism is an attractive epistemological position, avoiding the Scylla of rationalism, and the Charybdis of scepticism. Acknowledging, on the one hand, human imperfection, yet claiming that science and rational inquiry are possible. Fallibilism is a thesis, but equally importantly – an epistemological recommendation. that we should never be absolutely sure of anything. My aim in this paper is to drive a wedge between the thesis and the recommendation. The (eminently plausible) doctrine, I shall argue, cannot be used to ground the epistemological prescription for caution.

Suppose Jones pulls the trigger at t1, releasing a bullet which hits Smith, who dies, as a result of the wound, at t2. If we suppose the killing lasts for as long as it takes Jones to pull the trigger, we implausibly accept that the killing is over before Smith dies. If we say, instead, that the killing is over only when Smith is dead, we must suppose - equally implausibly - that Jones can still be killing Smith when he (Jones) is already otherwise engaged or even dead. I aim both to explain our intuitions and correct them.