Peter Baumann

One of the most recent trends in epistemology is contrastivism. It can be characterized as the thesis that knowledge is a ternary relation between a subject, a proposition known and a contrast proposition. According to contrastivism, knowledge attributions have the form “S knows that p, rather than q”. In this paper I raise several problems for contrastivism: it lacks plausibility for many cases of knowledge, is too relaxed concerning the third relatum, and overlooks a further relativity of the knowledge relation.

In a recent paper, Hájek presents the following alleged paradox. You are certain that a cable guy will visit you tomorrow between 8 a.m. and 4 p.m. but you have no further information about when. And you agree to a bet on whether he will come in the morning interval. At first you have no reason to prefer one possibility rather than the other. But you then realise that if you bet on the morning interval, there will certainly be a future time at which you will assign higher probability to an afternoon arrival than a morning one. You are also sure that nothing similar will happen if you bet on an afternoon arrival, so it appears that you ought to do so

Current epistemological orthodoxy has it that knowledge is incompatible with luck. More precisely: Knowledge is incompatible with epistemic luck. This is often treated as a truism which is not even in need of argumentative support. In this paper, I argue that there is lucky knowledge. In the first part, I use an intuitive and not very developed notion of luck to show that there are cases of knowledge which are “lucky” in that sense. In the second part, I look at philosophical conceptions of luck and come to the conclusion that knowledge can be lucky in those senses, too. I also turns out that a probabilistic notion of luck can help us see in what ways a particular piece of knowledge or belief can be lucky or not lucky.

One of the most interesting accounts of knowledge which have been recently proposed is the safety account of knowledge. According to it, one only knows that p if one's true belief that p could not have easily been false: S believes that p ==> p (where "==>" stands for the subjunctive conditional). This paper presents a counter-example and discusses attempts to fix the problem. It turns out that there is a deeper underlying problem which does not allow for a solution that would help the safety theorist. It is not the case that knowledge is safe.

Epistemic contrastivism is the view that knowledge is a ternary relation between a person, a proposition and a set of contrast propositions. This view is in tension with widely shared accounts of practical reasoning: be it the claim that knowledge of the premises is necessary for acceptable practical reasoning based on them or sufficient for the acceptability of the use of the premises in practical reasoning, or be it the claim that there is a looser connection between knowledge and practical reasoning. Given plausible assumptions, epistemic contrastivism implies that we should cut all links between knowledge and practical reasoning. However, the denial of any such link requires additional and independent arguments; if such arguments are lacking, then all the worse for epistemic contrastivism.

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.