The problem of easy knowledge arises for theories that have what I call a “basic knowledge structure”. S has basic knowledge of P just in case S knows P prior to knowing that the cognitive source of S's knowing P is reliable.1 Our knowledge has a basic knowledge structure (BKS) just in case we have basic knowledge and we come to know our faculties are reliable on the basis of our basic knowledge. The problem I raised in “Basic Knowledge and (...) the Problem of Easy Knowledge”2 (BKEK) is that once we allow for basic knowledge, we can come to know our faculties are reliable in ways that intuitively are too easy. This raises a serious doubt about whether we had the basic knowledge in the first place. In “Easy Knowledge”, Peter Markie argues that BKS theories do not face any problem concerning easy knowledge.3 I argued that the problem arises in two forms, and Markie takes issue with both. I will argue that Markie's defense of BKS theories fails. (shrink)

Merging of opinions results underwrite Bayesian rejoinders to complaints about the subjective nature of personal probability. Such results establish that sufficiently similar priors achieve consensus in the long run when fed the same increasing stream of evidence. Initial subjectivity, the line goes, is of mere transient significance, giving way to intersubjective agreement eventually. Here, we establish a merging result for sets of probability measures that are updated by Jeffrey conditioning. This generalizes a number of different merging results in the literature. (...) We also show that such sets converge to a shared, maximally informed opinion. Convergence to a maximally informed opinion is a (weak) Jeffrey conditioning analogue of Bayesian “convergence to the truth” for conditional probabilities. Finally, we demonstrate the philosophical significance of our study by detailing applications to the topics of dynamic coherence, imprecise probabilities, and probabilistic opinion pooling. (shrink)

The purpose of this article is to delimit what can and cannot be claimed on behalf of second-order logic. The starting point is some of the discussions surrounding my Foundations without Foundationalism: A Case for Secondorder Logic.

This paper defends the view that standards, which are typically social in nature, play a role in determining whether a subject has knowledge. While the argument focuses on standards that pertain to reasoning, I also consider whether there are similar standards for memory and perception.Ultimately, I argue that the standards are context sensitive and, as such, we must view attributions of knowledge as indexical. I exploit similarities between this view and a version of the relevant alternatives reply to skepticism in (...) order to defend this reply against the objection that it is ad hoc. (shrink)

This paper compares two kinds of epistemic principles---an underdetermination principle and a deductive closure principle. It argues that each principle provides the basis for an independently motivated skeptical argument. It examines the logical relations between the premises of the two kinds of skeptical argument and concludes that the deductive closure argument cannot be refuted without refuting the underdetermination argument. The underdetermination argument, however, can be refuted without refuting the deductive closure argument. In this respect, the deductive closure argument is the (...) stronger of the two. (shrink)

Just about every theorist holds that vague terms are context-sensitive to some extent. What counts as ?tall?, ?rich?, and ?bald? depends on the ambient comparison class, paradigm cases, and/or the like. To take a stock example, a given person might be tall with respect to European entrepreneurs and downright short with respect to professional basketball players. It is also generally agreed that vagueness remains even after comparison class, paradigm cases, etc. are fixed, and so this context sensitivity does not solve (...) the problems with vague terms. In this paper, I briefly sketch the main features of my broadly contextualist account of vagueness, that of the late Ruth Manor, and that of Agustín Rayo, showing how the three accounts relate to, and reinforce, each other, noting a seeming difference. A key item used to articulate my own view is David Lewis's notion of conversational score. This is used to track which borderline cases have been called in the course of a conversation. Manor alludes to Lewis's notion of accommodation, a key aspect of the kinematics of conversation, and Rayo invokes Stalnaker's notion of common ground. I'll show how the conversational score could be employed to develop and extend their views, showing how vague terms, as they construe them, are (or can be) deployed in conversation, consistent with both the underlying indeterminacy of the terms and normal communicative goals. To help develop all three views further, I invoke Craige Roberts's notion of Retrievability, a tool developed to show how definites, such as definite descriptions, singular pronouns, and proper names, are deployed in conversation, in a Lewis-style scorekeeping framework. This, I think, is exactly the right way to understand conversations in what Manor calls non-sorities situations and, to invoke my own view, in sorites situations as well. (shrink)

In a recent paper, John Fischer develops a new argument against the Principle of Alternative Possibilities (PAP) based on a deterministic scenario. Fischer uses this result (i) to rebut the Dilemma Defense - a well-known incompatibilist response to Frankfurt-type counterexamples to PAP; and (ii) to maintain that: If causal determinism rules out moral responsibility, it is not just in virtue of eliminating alternative possibilities. In this article, we argue that Fischer's new argument against PAP fails, thus leaving points (i) and (...) (ii) unsupported. (shrink)

There is an interesting logical/semantic issue with some mathematical languages and theories. In the language of (pure) complex analysis, the two square roots of i’ manage to pick out a unique object? This is perhaps the most prominent example of the phenomenon, but there are some others. The issue is related to matters concerning the use of definite descriptions and singular pronouns, such as donkey anaphora and the problem of indistinguishable participants. Taking a cue from some work in linguistics and (...) the philosophy of language, I suggest that i functions like a parameter in natural deduction systems. This may require some rethinking of the role of singular terms, at least in mathematical languages. (shrink)

Some version of the will theory and the interest theory of rights attempt to provide a precise and normatively neutral definition of a right that would be useful in substantive normative debates and that corresponds reasonably well with usage in our political and legal culture. But there is an irresolvable tension in this project. Consistent application of a definition of a right cannot plausible track ordinary usage without invoking underlying normative propositions about the justifications for granting rights. Thus, definitional approaches (...) to rights are too demanding to serve either the descriptive purpose of providing a neutral vocabulary or the normative purpose of usefully discussing the rights we ought to have. For descriptive purposes, it would be better to retreat, if necessary, to the Hohfeldian idea that a right is nothing more than the correlate of a duty; for normative purposes, it would be better to address directly the political justification for characterizing a particular legal as creating a right. (shrink)

Would Aquinas hold the view that a patient in a persistent vegetative state (PVS) is something other than a human being? Some recent interpreters have argued for this position. I contend that this reading is grounded in a false symmetry between the three stages of Aquinas’s embryology and the (alleged) three-stage process of death. Instead, I show that there are textual grounds for rejecting the view that the absence of higher brain activity in a patient would lead Aquinas to say (...) that the patient no longer has a rational soul. On my reading of Aquinas, the patient in PVS has a rational soul and is unequivocally a human being. (shrink)

cannot understand the language.”[1] This is not intended to cover (easily imaginable) cases of recording one's experiences in a personal code, for such a code, however obscure in fact, could in principle be deciphered. What Wittgenstein had in mind is a language conceived as necessarily comprehensible only to its single originator because the things which define its vocabulary are necessarily inaccessible to others.

Since virtually every mathematical theory can be interpreted in set theory, the latter is a foundation for mathematics. Whether set theory, as opposed to any of its rivals, is the right foundation for mathematics depends on what a foundation is for. One purpose is philosophical, to provide the metaphysical basis for mathematics. Another is epistemic, to provide the basis of all mathematical knowledge. Another is to serve mathematics, by lending insight into the various fields. Another is to provide an arena (...) for exploring relations and interactions between mathematical fields, their relative strengths, etc. Given the different goals, there is little point to determining a single foundation for all of mathematics. (shrink)

ABSTRACT Michael Rescorla has argued that it makes sense to compute directly with numbers, and he faulted Turing for not giving an analysis of number-theoretic computability. However, in line with a later paper of his, it only makes sense to compute directly with syntactic entities, such as strings on a given alphabet. Computing with numbers goes via notation. This raises broader issues involving de re propositional attitudes towards numbers and other non-syntactic abstract entities.

In lieu of an abstract, here is a brief excerpt of the content:Decision-Making as a Broader ConceptJacinta O. A. Tan (bio), Anne Stewart (bio), and Tony Hope (bio)KeywordsCompetence, decision-making, capacity, anorexia nervosa, autonomy, values, identityWe thank Demian Whiting for the thoughtful critique of aspects of our paper (Tan et al. 2006a). A primary aim of our research was to provide empirical grounds on which to stimulate discussion about the nature of decision-making capacity (DMC). Whiting criticizes in particular the concept (...) of 'pathological values' that we suggested might be relevant in the assessment of DMC and in the related issue of deciding when a patient's refusal of beneficial treatment should be overridden.Whiting's central concern is with DMC. Whiting argues that the absence of pathological values should not be a criterion for DMC. We are unclear whether he is also arguing that pathological values do not provide a reason of any kind for overriding treatment refusal. At the end of the paper he writes: "we cannot justify compulsory treatment of patients who have pathological values... on the grounds that these patients lack DMC" (2009, XX). This seems to leave open the possibility that we may be able to justify compulsory treatment of patients who have pathological values on grounds other than that they lack DMC. As we wrote in our response to the discussants of our original paper, "The primary issue for us is whether the reasons for refusal to which we draw attention provide grounds for overriding refusal, and if they do how they can be characterized in such a way as to avoid the ever-present danger of simply overriding autonomy in a patient's best interests" (Tan et al. 2006b, 300).In deciding on whether to use compulsory treatment, there are other relevant factors that may need to be considered, such as the seriousness of the decision, which determines the threshold for competence. However, in this response we consider three issues. First, we argue that the current concept of DMC is by no means so clear cut or generally agreed upon as Whiting implies, and that some of the lack of clarity relates to pathological values. Second, that the concept of DMC is itself dependent on accounts of autonomy, and that it is plausible that pathological values can affect autonomy. Third, we directly consider the question of whether a coherent account of pathological values might be given based on a concept of authenticity.The Current Criteria for DMCWhiting argues that the current criteria for DMC are correct and that an additional criterion along the lines of absence of pathological values should not be added. This argument assumes that there is a clear and agreed understanding of the current criteria. We believe this is not the case for three reasons.(i) Whiting begins his account of DMC by saying that it is normally taken to include: "(1) [End Page 345] understanding (and appreciation)" (2009, 341). Already there is an area of dispute, and the use of parentheses reflects this. The concept of 'appreciation' was developed by Grisso and Applebaum (Grisso, Appelbaum, and Hill-Fotouhi 1997). It is not included in either English common law development, for example (ReC), nor in the criteria specified in the Mental Capacity Act 2005. More important, Grisso and Appelbaum in their comment on our original paper (2006) argue that our work advances thinking about 'appreciation' rather than requiring that we add new elements. The implication is that they believe that what we have called pathological values are relevant to the assessment of capacity and are already included in an account of capacity that incorporates the criterion of 'appreciation.' In our response, we argued that pathological values are not entirely captured within the account of appreciation that Grisso and Appelbaum had previously given. We do not want to revisit that issue here, but the point of relevance is that on one view (that of Grisso and Appelbaum) pathological values are already included in the current criteria for DMC as part of the concept of appreciation, whereas on Whiting's view they are not.(ii) Even if there were agreement over the wording and concepts relevant to DMC there is a further important issue: how are those concepts... (shrink)

The is an old question over whether there is a substantial disagreement between advocates of different logics, as they simply attach different meanings to the crucial logical terminology. The purpose of this article is to revisit this old question in light a pluralism/relativism that regards the various logics as equally legitimate, in their own contexts. We thereby address the vexed notion of translation, as it occurs between mathematical theories. We articulate and defend a thesis that the notion of “same meaning” (...) is itself context-sensitive, depending on the purposes of a given conversation. (shrink)

Some central philosophical issues concern the use of mathematics in putatively non-mathematical endeavors. One such endeavor, of course, is philosophy, and the philosophy of mathematics is a key instance of that. The present article provides an idiosyncratic survey of the use of mathematical results to provide support or counter-support to various philosophical programs concerning the foundations of mathematics.

Søren Kierkegaard is an author who, due to his creative use of genre, has been difficult to characterize straightforwardly. His unconventional form of writing has at times been understood as a part of his criticism of German speculative philosophy; however, little work has been done to actually understand the nature of his criticism and his precise objection to the form of presentation traditionally used by systematic philosophy. In this article it is argued that there is a close connection between the (...) form and the content of speculative philosophy, and that due to his disagreements with the content of the latter Kier- kegaard was obliged to make use of a different literary form in order to criticize it. (shrink)

Thomas Hobbes (1588-1679), whose current reputation rests largely on his political philosophy, was a thinker with wide ranging interests. In philosophy, he defended a range of materialist, nominalist, and empiricist views against Cartesian and Aristotelian alternatives. In physics, his work was influential on Leibniz, and lead him into disputes with Boyle and the experimentalists of the early Royal Society. In history, he translated Thucydides's History of the Peloponnesian War into English, and later wrote his own history of the Long Parliament. (...) In mathematics he was less successful, and is best remembered for his repeated unsuccessful attempts to square the circle. But despite that, Hobbes was a serious and prominent participant in the intellectual life of his time. (shrink)

The purpose of this note is to examine the relationship between the practice of mathematics and the philosophy of mathematics, ontology in particular. One conclusion is that the enterprises are (or should be) closely related, with neither one dominating the other. One cannot 'read off' the correct way to do mathematics from the true ontology, for example, nor can one ‘read off’ the true ontology from mathematics as practiced.

"This book describes the power of the human mind and the cognitive processes that take place through the use of our external senses. Among these cognitive processes is memory, which receives extensive coverage in the essays. The book also contains a preface section providing an account of the author's life and writings. This section is written by Dugald Stewart, who details the philosophy and publications of the deceased Thomas Reid, the book's author." (PsycINFO Database Record (c) 2009 APA, all (...) rights reserved). (shrink)