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2000 HSS/PSA Program 1 - History of Science Society

2000 HSS/PSA Program 1 - History of Science Society

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<strong>PSA</strong> Abstracts<br />

sets <strong>of</strong> data by appealing to the specific processes used to generate those data<br />

sets. I then consider a variation on the Ravens Paradox that seems to resist any<br />

principled Bayesian resolution, and draw out some implications <strong>of</strong> this result<br />

for the prospects <strong>of</strong> Bayesianism as a general philosophy <strong>of</strong> science.<br />

Henry␣ E. Kyburg Jr. University <strong>of</strong> Rochester and The Institute for Human<br />

and Machine Intelligence<br />

The Dutch Book Argument and Rational Belief<br />

The Dutch Book Argument is the argument that if one’s degrees <strong>of</strong> belief fail<br />

to satisfy the probability axioms, then a clever bookie can propose a set <strong>of</strong><br />

bets that one will find acceptable, but which entail a sure loss. It has been used<br />

to support the claim that rational degrees <strong>of</strong> belief must be probabilities. It is<br />

argued here that the acceptability <strong>of</strong> a set <strong>of</strong> bets may be quite different from<br />

the acceptability <strong>of</strong> a single bet, that if this difficulty is corrected by demanding<br />

that the agent be willing to accept any combination <strong>of</strong> bets that he is willing to<br />

accept singly, then the sanctions supporting that demand undermine the cogency<br />

<strong>of</strong> the argument, that the requirement that “degrees” <strong>of</strong> belief be measured by<br />

real numbers between 0 and 1 is epistemologically unreasonable, and that<br />

even if the Dutch Book Argument is applied to intervals <strong>of</strong> belief, and the<br />

necessary sanctions taken account <strong>of</strong>, the conclusion will concern posted odds<br />

only (rather than belief), and will require that these not be probabilities. What<br />

we can conclude (with additional premises) is that rational belief should<br />

conform to probability (in a sense to be specified), and that decisions should<br />

be governed by expectations. This is a far weaker conclusion than that the<br />

Dutch Book Argument is ordinarily taken to support.<br />

P<br />

S<br />

A<br />

Marc Lange University <strong>of</strong> Washington<br />

The Apparent Superiority <strong>of</strong> Prediction To Accommodation as a Side Effect:<br />

A Reply to Maher<br />

Maher (1988, 1990, 1993) has <strong>of</strong>fered a lovely example to motivate the intuition<br />

that a successful prediction has a kind <strong>of</strong> confirmatory significance that an<br />

accommodation lacks. This paper scrutinizes Maher’s example. It argues that<br />

once the example is tweaked, the intuitive difference between prediction and<br />

accommodation disappears. This suggests that the apparent superiority <strong>of</strong><br />

prediction to accommodation is actually a side effect <strong>of</strong> an important difference<br />

between our judgements <strong>of</strong> the hypotheses that tend to arise in each case.<br />

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