Diversity Reading List

We investigate the truth conditions of knowledge ascriptions for the case of mathematical knowledge. The availability of a formalizable mathematical proof appears to be a natural criterion:

(*) X knows that p is true iff X has available a formalizable proof of p.

Yet, formalizability plays no major role in actual mathematical practice. We present results of an empirical study, which suggest that certain readings of (*) are not necessarily employed by mathematicians when ascribing knowledge. Further, we argue that the concept of mathematical knowledge underlying the actual use of “to know” in mathematical practice is compatible with certain philosophical intuitions, but seems to differ from philosophical knowledge conceptions underlying (*).

Are there ever good epistemic reasons to neglect base rates? Assuming an empiricist modal epistemology, I argue that we face an interesting tension between some very plausible epistemic norms: a norm requiring us to proportion our beliefs to the evidence may facilitate knowledge of the actual world, whilst inhibiting our acquisition of modal knowledge—knowledge of how things could be, but are not. The potential for this tension in our epistemic norms is a significant result in its own right. It can also rationalize certain forms of demographic base-rate neglect.

Introduction: In his book, Freedom of the Individual, Stuart Hampshire argues as follows. In human beings (as opposed to things) power a function of will and will is a function of desire. Some desires are "thought-dependent" in that they depend on statable beliefs which, if they altered,- would alter the desires, and so such desires cannot be defined by purely behavioural criteria, since the subject’s conception of what he wants is constitutive of the wanting. We do not discover our thought-dependent desires inductively, by observation, we formulate them in the light of our beliefs. We have the experience of being convinced by evidence and of changing our beliefs and so willing differently, and there seems to be no set of sufficient conditions outside our thinking which could explain this situation equally well. [...] I wish to make an entry into Professor Hampshire’s argument at the point where he dismisses the doctrine of the transcendent will.

Abstract: The complaints which I wish to make are concerned primarily with prose, not with poetry, and primarily with novels, not with drama; and they are brief, simplified, abstract, and possibly insular. They are not to be construed as implying any precise picture of "the function of the writer." It is the function of the writer to write the best book he knows how to write. These remarks have to do with the background to present-day literature, in Liberal democracies in general and Welfare States in particular, in a sense in which this must be the concern of any serious critic.