The idea that knowledge can be extended by inference from what is known seems highly plausible. Yet, as shown by familiar preface paradox and lottery-type cases, the possibility of aggregating uncertainty casts doubt on its tenability. We show that these considerations go much further than previously recognized and significantly restrict the kinds of closure ordinary theories of knowledge can endorse. Meeting the challenge of uncertainty aggregation requires either the restriction of knowledge-extending inferences to single premises, or eliminating epistemic uncertainty in (...) known premises. The first strategy, while effective, retains little of the original idea—conclusions even of modus ponens inferences from known premises are not always known. We then look at the second strategy, inspecting the most elaborate and promising attempt to secure the epistemic role of basic inferences, namely Timothy Williamson’s safety theory of knowledge. We argue that while it indeed has the merit of allowing basic inferences such as modus ponens to extend knowledge, Williamson’s theory faces formidable difficulties. These difficulties, moreover, arise from the very feature responsible for its virtue- the infallibilism of knowledge. (shrink)

Harman and Lewis credit Kripke with having formulated a puzzle that seems to show that knowledge entails dogmatism. The puzzle is widely regarded as having been solved. In this paper we argue that this standard solution, in its various versions, addresses only a limited aspect of the puzzle and holds no promise of fully resolving it. Analyzing this failure and the proper rendering of the puzzle, it is suggested that it poses a significant challenge for the defense of epistemic closure.

According to an influential philosophical view I call “the relational properties view”, “perspectival” properties, such as the elliptical appearance of a tilted coin, are relational properties of external objects. Philosophers have assessed this view on the basis of phenomenological, epistemological or other purely philosophical considerations. My aim in this paper is to examine whether it is possible to evaluate RPV empirically. In the first, negative part of the paper I consider and reject a certain tempting way of doing so. In (...) the second, positive part of the paper I suggest a novel way of evaluating RPV empirically, relying on the influential object files framework. (shrink)

The history of productivity of the κ-chain condition in partial orders, topological spaces, or Boolean algebras is surveyed, and its connection to the set-theoretic notion of a weakly compact cardinal is highlighted. Then, it is proved that for every regular cardinal κ > א1, the principle □ is equivalent to the existence of a certain strong coloring c : [κ]2 → κ for which the family of fibers T is a nonspecial κ-Aronszajn tree. The theorem follows from an analysis of (...) a new characteristic function for walks on ordinals, and implies in particular that if the κ-chain condition is productive for a given regular cardinal κ > א1, then κ is weakly compact in some inner model of ZFC. This provides a partial converse to the fact that if κ is a weakly compact cardinal, then the κ-chain condition is productive. (shrink)

The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation of (...) evidential support is not closed under known entailment. Therefore the evidence-for relation is deductively open regardless of whether evidence is probabilistic or not. Given even a weak dependence of empirical knowledge on evidence, we argue that empirical knowledge is also open. On this basis, we also respond to the strongest argument in support of knowledge closure. Finally, we present a number of significant benefits of our position, namely, offering a unified explanation for a range of epistemological puzzles. (shrink)

König, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of a higher Souslin tree from the strong guessing principle.Complementary to the author’s work on the validity of diamond and non-saturation at the successor of singulars, we deal here with a successor of regulars. It is established that even the non-strong guessing principle entails non-saturation, and that, assuming the necessary cardinal arithmetic configuration, entails a diamond-type principle which suffices for the construction of a (...) higher Souslin tree.We also establish the consistency of GCH with the failure of the weakest form of generalized club guessing. This, in particular, settles a question from the original paper. (shrink)

This paper proposes and develops the feelings of goals hypothesis (FGH). It has two aims: first, to describe the evolutionary function of emotional feelings (EFs), and second, to describe the content and the format of EFs. According to FGH, the evolutionary function of EFs is to enable motoric flexibility. Specifically, EFs are a component of a psychological mechanism that permits differential motoric reactions to the same stimulus. Further, according to FGH, EF is a special type of mental representation with the (...) content of an action goal, and with a non-motoric, non-conceptual format. This paper thoroughly clarifies the assumptions underlying FGH and discusses its theoretical implications and empirical predictions. (shrink)

Let λ denote a singular cardinal. Zeman, improving a previous result of Shelah, proved that $\square _{\lambda}^{\ast}$ together with 2 λ = λ⁺ implies $\lozenge _{S}$ for every S ⊆ λ⁺ that reflects stationarily often. In this paper, for a set S ⊆ λ⁺, a normal subideal of the weak approachability ideal is introduced, and denoted by I[S; λ]. We say that the ideal is fat if it contains a stationary set. It is proved: 1. if I[S; λ] is fat, (...) then $\text{NS}_{\lambda ^{+}}$ ↾ S is non-saturated; 2. if I[S; λ] is fat and 2 λ = λ⁺, then $\lozenge _{S}$ holds; 3. $\square _{\lambda}^{\ast}$ implies that I[S; λ] is fat for every S ⊆ λ⁺ that reflects stationarily often; 4. it is relatively consistent with the existence of a supercompact cardinal that $\square _{\lambda}^{\ast}$ fails, while I[S; λ] is fat for every stationary S ⊆ λ⁺ that reflects stationarily often. The stronger principle $\lozenge _{\lambda ^{+}}^{\ast}$ is studied as well. (shrink)

Generalising Hrushovski's fusion technique we construct the free fusion of two strongly minimal theories T₁, T₂ intersecting in a totally categorical sub-theory T₀. We show that if, e.g., T₀ is the theory of infinite vector spaces over a finite field then the fusion theory Tω exists, is complete and ω-stable of rank ω. We give a detailed geometrical analysis of Tω, proving that if both T₁, T₂ are 1-based then, Tω can be collapsed into a strongly minimal theory, if some (...) additional technical conditions hold—all trivially satisfied if T₀ is the theory of infinite vector spaces over a finite field Fq. (shrink)

Timothy Williamson has famously argued that the principle should be rejected. We analyze Williamson's argument and show that its key premise is ambiguous, and that when it is properly stated this premise no longer supports the argument against. After canvassing possible objections to our argument, we reflect upon some conclusions that suggest significant epistemological ramifications pertaining to the acquisition of knowledge from prior knowledge by deduction.

European Journal of Philosophy, EarlyView.

There are few indulgences academics can crave more than to have their work considered and addressed by leading researchers in their field. We have been fortunate to have two outstanding philosophers from whose work we have learned a great deal give ours their thoughtful attention. Grappling with Stephen Yablo’s, and Juan Comesaña’s comments and criticisms has helped us gain a better understanding of our ideas as well as their shortcomings. We are extremely grateful to them for the attentiveness and seriousness (...) with which they have considered our arguments and to philosophical studies for giving us this opportunity. Given the substantive difference between the two response papers, there is not much beyond sincere gratitude that we can covey to them jointly. We will therefore address them in turn. (shrink)

We investigate the geometry of forking for SU-rank 2 elements in supersimple ω-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case of SU-rank 3 elements.

In these pages we seek to integrate two claims. First, we argue that, taken to their logical conclusions, the considerations that support a strict form of protection for tangible property rights do not call for a similar form of protection when applied to the case of copyright. More dramatically, these considerations demand, on pain of glaring inconsistency, a substantially weaker protection for copyright. In pursuing this claim, we show that the form of protecting property rights is, to an important extent, (...) a feature of certain normal, though contingent, facts about the human world. Second, the normative question concerning the selection of a desirable protection for creative works is most naturally pursued from a tort law perspective, in part because the normative structure of copyright law simply is that of tort law. (shrink)

It takes courage to characterize feminist writings on tort law as "thin." Indeed, Professor Schwartz in his provocative and challenging article examines feminist writings in a unique and innovative way. In his analysis of a number of such writings, he attempts to demonstrate that they either have not done enough or could have done better. His provocative analysis of many issues invites vigorous discussion. One could write a separate comment on each and every one of the issues he raises; however, (...) I will limit my comment to two: the tension between the "reasonable man" and the "reasonable woman" standard and the duty to rescue rule. It takes courage to characterize feminist writings on tort law as "thin." Indeed, Professor Schwartz in his provocative and challenging article examines feminist writings in a unique and innovative way. In his analysis of a number of such writings, he attempts to demonstrate that they either have not done enough or could have done better. His provocative analysis of many issues invites vigorous discussion. One could write a separate comment on each and every one of the issues he raises; however, I will limit my comment to two: the tension between the "reasonable man" and the "reasonable woman" standard and the duty to rescue rule. (shrink)

This Article tells the story of two legal cooperation projects established by the Israeli Ministry of Justice in the 1950s and 1960s. The Article argues that the history of these projects can suggest a new way of understanding the process of legal transplantation. Much of the literature on legal transplants focuses on the legal norms transplanted. This Article seeks to shift the focus of the debate from a discussion of the legal norms transplanted to a discussion of the social acts (...) involved in the process of transplantation. The Article argues that while transplantation may be motivated by practical considerations, such as the desire to obtain foreign norms which are deemed superior to local law, it is sometimes also a process of signaling. The two legal cooperation projects discussed in the Article, it is argued, were, to a certain extent, signaling devices used to communicate to Israel’s potential allies the fact that Israel was part of the civilized world, and thus a partner worthy of its cooperation, and also the fact that Israel was a state stable and strong enough to survive in the hostile environment into which it was born. (shrink)

Let E be an analytic equivalence relation on a Polish space. We introduce a framework for studying the possible “reasonable” complete classifications and the complexity of possible classifying invariants for E, such that: (1) the standard results and intuitions regarding classifications by countable structures are preserved in this framework; (2) this framework respects Borel reducibility; and (3) this framework allows for a precise study of the possible invariants of certain equivalence relations which are not classifiable by countable structures, such as (...) E1. In this framework we show that E1 can be classified, with classifying invariants which are κ-sequences of E0-classes where κ=b, and it cannot be classified in such a manner if κshrink)

The apparent inconsistency between Locke’s commitment to legalism and his explicit endorsement of the extra-legal power of prerogative has confounded many readers. Among those who don’t ignore or dismiss it, the common approach is to qualify the role or scope of prerogative. The article advocates the opposite approach. It argues that Locke’s legalism should be understood within the context of his oft neglected conception of political liberty in terms of self-government. This not only allows for the reconciliation of Locke’s legalism (...) with his endorsement of extra-legal powers, but also provides a fuller, more accurate account of the role of law and of political liberty in Locke’s theory. (shrink)

A vibrant new translation of Seneca’s “On the Shortness of Life,” a pointed reminder to make the most of our time Who doesn’t worry sometimes that smart phones, the Internet, and TV are robbing us of time and preventing us from having a life? How can we make the most of our time on earth? In the first century AD, the Stoic philosopher Seneca the Younger offered one of the most famous answers to that question in his essay “On the (...) Shortness of Life”—a work that has more to teach us today than ever before. In How to Have a Life, James Romm presents a vibrant new translation of Seneca’s brilliant essay, plus two Senecan letters on the same theme, complete with the original Latin on facing pages and an inviting introduction. With devastating satiric wit, skillfully captured in this translation, Seneca lampoons the ways we squander our time and fail to realize how precious it is. We don’t allow people to steal our money, yet we allow them to plunder our time, or else we give it away ourselves in useless, idle pursuits. Seneca also describes how we can make better use of our brief days and years. In the process, he argues, we can make our lives longer, or even everlasting, because to live a real life is to attain a kind of immortality. A counterweight to the time-sucking distractions of the modern world, How to Have a Life offers priceless wisdom about making our time—and our lives—count. (shrink)

It is relatively consistent with the existence of two supercompact cardinals that a special Aronszajn tree of height ${\aleph_{\omega_1+1}}$ is introduced by a cofinality-preserving forcing of size ${\aleph_3}$.

According to the thesis of transparency, subjects can attend only to the representational content of perceptual experience, never to the intrinsic properties of experience that carry this representational content, i.e., to “mental paint.” So far, arguments for and against transparency were conducted from the armchair, relying mainly on introspective observations. In this paper, we argue in favor of transparency, relying on the cognitive neuroscience of attention. We present a trilemma to those who hold that attention can be directed to mental (...) paint. Such attention is either first-order sensory, higher-order cognitive, or higher-order sensory attention. We argue that the notion of first-order sensory attention to mental paint is incompatible with the neuroscience of sensory attention; that higher-order cognitive attention to mental paint is irrelevant to transparency; and that the notion of higher-order sensory attention to mental paint has an apparently incoherent prediction. Via elimination, these considerations support the thesis of transparency. (shrink)

(1996). Inquiry‐and‐intervention in systems planning: Probing methodological rationalities. World Futures: Vol. 47, Unity and Diversity in Contemporary Systems Tinking: Systematic Pictures at an Exhibition, pp. 25-36.

According to the influential thesis of attentional transparency, in having or reflecting on an ordinary visual experience, we can attend only outwards, to qualities the experience represents, never to intrinsic qualities of the experience itself, i.e., to “mental paint.” According to the competing view, attentional semitransparency, although we usually attend outwards, to qualities the experience represents, we can also attend inwards, to mental paint. So far, philosophers have debated this topic in strictly armchair means, especially phenomenological reflection. My aim in (...) this paper is to show how to design an experiment, using the change detection paradigm for studying visual working memory that, if yielding positive results, would support AS. The structure of the argument is as follows. In standard change detection tasks, which involve attention to qualities the experience represents, there exists a known object integration effect (Luck and Vogel in Nature 390(6657):279–281, 1997). I formulate a hypothesis I call “the turn-off hypothesis,” according to which this effect does not exist in change detection tasks where subjects are instructed to attend to mental paint. I argue that, given AS, we have some reason to expect the turn-off hypothesis to be true, but given AT, we do not. Consequently, the truth of the turn-off hypothesis would support AS. I further argue that one can straightforwardly test the turn-off hypothesis, taking the standard change detection paradigm and instructing participants to attend inwards. (shrink)

Magnetic resonance imaging (MRI) is an imaging technique with a rapidly expanding application range. This methodology, which relies on quantum physics and substance magnetic properties, is now being routinely used in the clinics and medical research. With the advent of measuring functional brain activity with MRI (functional MRI), this methodology has reached a larger section of the neuroscience community (e.g. psychologists, neurobiologists). In the past, the use of MRI as a biomarker or as an assay to probe tissue pathophysiological condition (...) was limited. However, with the new applications of MRI: molecular imaging, contrast‐enhanced imaging and diffusion imaging, MRI is turning into a powerful tool for in vivo characterization of tissue pathophysiology. This review focuses on the diffusion MRI. Although it only measures the averaged Brownian translational motion of water molecules, using different analysis schemes, one can extract a wide range of quantitative indices that represent tissue morphology and compartmentalization. Statistical and visualization routines help to relate these indices to biologically relevant measures such as cell density, water content and size distribution. The aim of this review is to shed light on the potential of this methodology to be used in biological research. To that end, this review is intended for the non‐MRI specialists who wish to pursue biological research with this methodology. We will overview the current applications of diffusion MRI and its relation to cellular biology of brain tissue. BioEssays 30:1235–1245, 2008. © 2008 Wiley Periodicals, Inc. (shrink)

We construct a strongly minimal set which is not a finite cover of one with DMP. We also show that for a strongly minimal theory T, generic automorphisms exist iff T has DMP, thus proving a conjecture of Kikyo and Pillay.

We show that any structure of finite Morley Rank having the definable multiplicity property has a rank and multiplicity preserving interpretation in a strongly minimal set. In particular, every totally categorical theory admits such an interpretation. We also show that a slightly weaker version of the DMP is necessary for a structure of finite rank to have a strongly minimal expansion. We conclude by constructing an almost strongly minimal set which does not have the DMP in any rank preserving expansion, (...) and ask whether this structure is interpretable in a strongly minimal set. (shrink)

In their paper from 1981, Milner and Sauer conjectured that for any poset $\langle P,\le\rangle$ , if $cf(P,\le)=\lambda>cf(\lambda)=\kappa$ , then P must contain an antichain of size κ. We prove that for λ > cf(λ) = κ, if there exists a cardinal μ < λ such that cov(λ, μ, κ, 2) = λ, then any poset of cofinality λ contains λ κ antichains of size κ. The hypothesis of our theorem is very weak and is a consequence of many well-known (...) axioms such as GCH, SSH and PFA. The consistency of the negation of this hypothesis is unknown. (shrink)

What kind of inquiry is management science? This paper compares two accounts — realist-oriented and constructivist-oriented — and proposes a third position. The realist view that scientific inquiry seeks knowledge of realities independent and outside of the knowing process is set against the constructivist view that scientific theorising creates accounts which develop our discourses without claiming knowledge of ‘deeper’ realities. It argues that ultimately we have no way of resolving this long-standing dispute. To move beyond the impasse it proposes a (...) trusting constructivist position, arguing that responsible theorising requires that inquirers develop discursive accountability and that the process of inquiry matters as much as its content. Finally it explores what such a view of accountability would mean for the relationship between scientists or ‘professionals’ and users of their research findings in organisations. (shrink)