Peter Baumann

There are many ordinary propositions we think we know. Almost every ordinary proposition entails some "lottery proposition" which we think we do not know but to which we assign a high probability of being true (for instance: “I will never be a multi-millionaire” entails “I will not win this lottery”). How is this possible - given that some closure principle is true? This problem, also known as “the Lottery puzzle”, has recently provoked a lot of discussion. In this paper I discuss one of the most promising answers to the problem: Stewart Cohen’s contextualist solution which is based on ideas about the salience of chances of error. After presenting some objections to it I sketch an alternative solution which is still contextualist in spirit.

The well known Monty Hall-problem has a clear solution if one deals with a long enough series of individual games. However, the situation is different if one switches to probabilities in a single case. This paper presents an argument for Monty Hall situations with two players (not just one, as is usual). It leads to a quite general conclusion: One cannot apply probabilistic considerations (for or against any of the strategies) to isolated single cases. If one does that, one cannot but violate a very plausible non-arbitrariness condition and is led into a Moore-paradoxical incoherence. Even though arguments for switching are correct as applied to series of games, they don’t say anything useful about what rationality demands in a single case.

In this paper I respond to P.D. Magnus’ critique of an earlier paper of mine on Thomas Reid’s theory of common sense. In the earlier paper (The Scottish Pragmatist? The Dilemma of Common Sense and the Pragmatist Way Out, Reid Studies 2, 1999, 47-57) I argued that Reid faces a dilemma between dogmatism and scepticism but that there are also hints in his work towards a pragmatist way out of the problem. P.D. Magnus, in a response to this paper (Reid’s Dilemma and the Uses of Pragmatism, Journal of Scottish Philosophy 2, 2004, 69-72), criticizes me for misidentifying the kind of pragmatism one can find in Reid. In this paper I defend my interpretation of Reid and spell the relevant kind of pragmatism out in more detail.

There is a very plausible principle of the transitivity of justifying reasons. It says that if "p" is better justified than "q" (all things considered) and "q" better than "r", then "p" is better justified than "r" (all things considered). There is a corresponding principle of rational theory choice. Call one theory "a better theory than" another theory if all criteria of theory choice considered (explanatory power, simplicity, empirical adequacy, etc.), the first theory meets the criteria better than the second theory. The corresponding transitivity principle says that if theory A is a better theory than theory B and if theory B is a better theory than theory C, then A is a better theory than theory C. I argue against this principle. It turns out that whenever there are 2 or more relevant and independent criteria of theory evaluation, and whenever at least of one the criteria is "non-linear" in a certain sense, there may be violations of transitivity which do not violate any standards of rationality (of theory choice). This shows, again, that theory choice cannot be seen as merely the application of given rules of rational theory choice.

Epistemological contextualism ‐ the claim that the truth‐value of knowledge‐attributions can vary with the context of the attributor ‐ has recently faced a whole series of objections. The most serious one, however, has not been discussed much so far: the factivity objection. In this paper, I explain what the objection is and present three different versions of the objection. I then show that there is a good way out for the contextualist. However, in order to solve the problem the contextualist has to accept a relationalist version of contextualism.

This paper discusses two versions of reliabilism: modal and probabilistic reliabilism. Modal reliabilism faces the problem of the missing closeness metric for possible worlds while probalistic reliabilism faces the problem of the relevant reference class. Despite the severity of these problems, reliabilism is still very plausible (also for independent reasons). I propose to stick with reliabilism, propose a contextualist (or, alternatively, harmlessly relativist) solution to the above problems and suggest that probabilistic reliabilism has the advantage over modal reliabilism.

This paper argues against common views that at least in many cases Robert Nozick is not forced to deny common closure principles. More importantly, Nozick does not – despite first (and second) appearances and despite his own words – deny closure. On the contrary, he is defending a more sophisticated and complex principle of closure. This principle does remarkably well though it is not without problems. It is surprising how rarely Nozick’s principle of closure has been discussed. He should be seen not so much as a denier of closure than as someone who’s proposing an alternative, more complex principle of closure.

The idea of a social contract has played a major role in modern political philosophy but not in modern epistemology, -- not even in more recent "social theories of knowledge". The idea of an epistemic contract, however, is very interesting and deserves more attention. In this paper, I discuss arguments to the effect that we cannot do without epistemic contracts. I come to the conclusion that these arguments are not convincing. If one wants to make use of contractarian arguments in epistemology, one better looks for different arguments.

Most contextualists agree that contexts differ with respect to relevant epistemic standards. In this paper, I discuss the idea that the difference between more modest and stricter standards should be explained in terms of the closeness or remoteness of relevant possible worlds. I argue that there are serious problems with this version of contextualism. In the second part of the paper, I argue for another form of contextualism that has little to do with standards and a lot with the well-known problem of the reference class. This paper also illustrates the fact that contextualism comes in many varieties.

In his recent book Moral Skepticisms Walter Sinnott-Armstrong argues in great detail for contrastivism with respect to justified moral belief and moral knowledge. I raise three questions concerning this view. First, how would Sinnott-Armstrong account for constraints on admissible contrast classes? Secondly, how would he deal with notorious problems concerning relevant reference classes? Finally, how can he account for basic features of moral agency? It turns out that the last problem is the most serious one for his account.