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This paper is concerned with formal solutions to the lottery paradox on which high probability defeasibly warrants acceptance. It considers some recently proposed solutions of this type and presents an argument showing that these solu are trivial in that they boil down to the claim that perfect probability is sufficient for rational acceptability. The argument is then generalized, showing that a broad class of similar solutions faces the same problem.

In [1], D. W. Hart and C. Mcginn considered two logics A1 and A2. These logics embody part of a tradition about a priori knowledge and necessity. They proved that A2 is a conservative extension of a well-known modal logic S5 but left the problem whether A1 is a conservative extension of S4 open. In this note, we shall show that A1 is not a conservative extension of S4 but of S5, and also correct an inadequate proof.

The acquisition of expertise in formal problem solving has been assumed to involve either a shift from backwards to forwards inference, or a shift from unguided to guided forwards inference. In a longitudinal study, the acquisition of formal problem-solving expertise was investigated. Participants were tested as novices before undertaking controlled practice in the problem domain which involved transformation rule problems , and were finally tested as experts. The direction of inference in problem solutions was found to be inadequate to describe the strategic differences between novices and experts. Therefore, a new solution coding system was applied, based on atomic components of problem solution. Analysis of novice and expert solutions revealed no systematic strategy in the novice stage solutions were confused and contained unproductive steps and backtracking. Several strategies were found in the expert solutions, but they did not agree with previously reported results. It was therefore proposed that the acquisition of expertise does not involve a change from one specific solution strategy to another, but rather the development of an efficient strategy, which can differ between participants.

Philosophers concerned with procreative ethics have long been puzzled by Parfit’s Non-Identity Problem (NIP). Various solutions have been proposed, but I argue that we have not solved the problem on its own narrow person-affecting terms, i.e., in terms of the identified individuals affected by procreative decisions and acts, especially future children. Thus, the core problem remains unsolved. This is a nagging concern for all who hold the common intuition that actions that harm no one are permissible. I argue against Harmon’s and Woodward’s direct, narrow person-affecting solutions, and in favor of a new solution to the NIP. My solution, or, rather, dissolution, is based on the argument that merely possible people, i.e., hypothetical people who could possibly, but will not actually, exist, are morally irrelevant. I show that the NIP only arises when we concern ourselves with merely possible people. Once we are careful to restrict our concerns to only those that do or will exist, the NIP is dissolved.

It is now more than 50 years that the Goodman paradox has been discussed, and many different solutions have been proposed. But so far no agreement has been reached about which is the correct solution to the paradox. In this paper, I present the naturalistic solutions to the paradox that were proposed in Quine (1969, 1974), Quine and Ullian (1970/1978), and Stemmer (1971). At the same time, I introduce a number of modifications and improvements that are needed for overcoming shortcomings of the solutions. The discussion of this improved version suggests that the Goodman paradox actually embodies three different problems; yet, one of them is not Goodman’s but Hume’s problem. The discussion also suggests that the naturalistic approach is probably the best for basing on it a theory of confirmation. Finally, I analyze one of Hume’s insights that seems to have been largely ignored. This insight shows a surprising similarity to a central feature of the naturalistic solutions.

This paper is concerned with formal solutions to the lottery paradox on which high probability defeasibly warrants acceptance. It considers some recently proposed solutions of this type and presents an argument showing that these solutions are trivial in that they boil down to the claim that perfect probability is sufficient for rational acceptability. The argument is then generalized, showing that a broad class of similar solutions faces the same problem. An argument against some formal solutions to the lottery paradox The argument generalized Some variations Adding modalities Anticipated objections.

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Stewart Cohen has recently presented solutions to two forms of what he calls "The Problem of Easy Knowledge" ("Basic Knowledge and the Problem of Easy Knowledge," Philosophy and Phenomenological Research, LXV, 2, September 2002, pp. 309-329). I offer alternative solutions. Like Cohen's, my solutions allow for basic knowledge. Unlike his, they do not require that we distinguish between animal and reflective knowledge, restrict the applicability of closure under known entailments, or deny the ability of basic knowledge to combine with self-knowledge to provide inductive evidential support. My solution to the closure version of the problem covers a variation on the problem that is immune to Cohen's approach. My response to the bootstrapping version presents reasons to question whether the problem case, as Cohen presents it, is even possible, and, assuming it is, my solution avoids a false implication of Cohen's own. The key to my solutions for both versions is the distinction between an inference's transferring epistemic support, on the one hand, and its not begging the question against skeptics, on the other.

Consider a cat on a mat. On the one hand, there seem to be just one cat, but on the other there seem to be many things with as good a claim to being a cat, and there seems to be nothing in the vicinity with a better claim. Hence, the problem of the many. In his ‘Many, but Almost One,’ David Lewis offered two solutions. According to the first, only one of the many is indeed a cat, although it is indeterminate exactly which one. According to the second, the many are all cats, but they are almost identical to each other, and hence they are almost one. For Lewis, the two solutions do not compete with each other but are mutually complementary, as each can assist the other. This paper has two aims: first to argue against the first of these two solutions, and then to defend the second as a self-standing solution from Lewis’s considerations to the contrary. In both parts I will assume the certainly plausible but also controversial view on the nature of vagueness, having it that vagueness is a kind of semantic indecision—of which Lewis himself is one of the main defenders.

Co-location is compatible with the doctrine of microphysical supervenience. Microphysical supervenience involves intrinsic qualitative properties that supervene on microphysical structures. Two different objects, such as Socrates and the lump of tissue of which he is constituted, can be co-located objects that supervene on different sets of properties. Some of the properties are shared, but others, such as the human-determining properties or the lump-determining properties, supervene only on one object or the other. Therefore, properties at the same location can be arranged so as to constitute more than one object at the same time.