Epistemological disjunctivism argues that one can have perceptual knowledge that p in virtue of being in possession of factive and reflectively accessible rational support, e.g., one’s ‘seeing that p’. A well-known challenge to this view is the so-called basis problem of epistemological disjunctivism, which argues that one’s ‘seeing that p’ cannot constitute the rational support for one’s knowledge that p, as ‘seeing that p’ is just a way of ‘knowing that p’. The basis problem is taken (...) to be based on the entailment thesis, viz, ‘seeing that p’ entails ‘knowing that p’. Mainstream solutions to the basis problem take an approach rejecting the entailment thesis. This paper purports to reveal a common defect of those extant solutions. That is, they all fail to address the basis problem in the central domain of discussion of epistemological disjunctivism, i.e., what Pritchard refers to as ‘paradigmatic cases’. Moreover, even if they succeed in rejecting the entailment thesis in paradigmatic cases, they would also backfire on epistemological disjunctivism. (shrink)

Duncan Pritchard has defended a version of epistemological disjunctivism which holds that in a paradigmatic case of perceptual knowledge, one knows that \ in virtue of having the reflectively accessible reason that one sees that \. This view faces what is known as the basis problem: if seeing that \ just is a way of knowing that \, then that one sees that \ cannot constitute the rational basis in virtue of which one knows that \. To (...) solve this problem, Pritchard has argued that seeing that \ should be reduced to being in a good position to know that \ rather than simply knowing that \. I argue that this proposal can only be properly understood if the concept of knowledge is taken as primitive, and is supported by an example that either fails to favor it over the alternative, or else backfires against the proposal itself. This leaves the new account of seeing that \ unmotivated, thereby challenging the purported answer to the basis problem. (shrink)

It is emphasized that a many-worlds interpretation of quantum theory exists only to the extent that the associated basis problem is solved. The core basis problem is that the robust enduring states specified by environmental decoherence effects are essentially Gaussian wave packets that form continua of non-orthogonal states. Hence they are not a discrete set of orthogonal basis states to which finite probabilities can be assigned by the usual rules. The natural way to get an (...) orthogonal basis without going outside the Schroedinger dynamics is to use the eigenstates of the reduced density matrix, and this idea is the basis of some recent attempts by many-worlds proponents to solve the basis problem. But these eigenstates do not enjoy the locality and quasi-classicality properties of the states defined by environmental decoherence effects, and hence are not satisfactory preferred basis states. This core problem is obscured by approaches that treat the universe as a quantum computer, but it needs to be addressed and resolved before a many-worlds-type interpretation can be said to exist. (shrink)

Let be a finite collection of finite algebras of finite signature such that SP( ) has meet semi-distributive congruence lattices. We prove that there exists a finite collection 1 of finite algebras of the same signature, , such that SP( 1) is finitely axiomatizable.We show also that if , then SP( 1) is finitely axiomatizable. We offer new proofs of two important finite basis theorems of D. Pigozzi and R. Willard. Our actual results are somewhat more general than this (...) abstract indicates. (shrink)

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}$$ \end{document} be a finite collection of finite algebras of finite signature such that SP(\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}$$ \end{document}) has meet semi-distributive congruence lattices. We prove that there exists a finite collection \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}$$ \end{document}1 of finite algebras of the same signature, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}_1 \supseteq (...) \mathcal{K}$$ \end{document}, such that SP(\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}$$ \end{document}1) is finitely axiomatizable.We show also that if \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$HS(\mathcal{K}) \subseteq SP(\mathcal{K})$$ \end{document}, then SP(\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{K}$$ \end{document}1) is finitely axiomatizable. We offer new proofs of two important finite basis theorems of D. Pigozzi and R. Willard. Our actual results are somewhat more general than this abstract indicates. (shrink)

argued that there are two options for what he called a realistic solution to the quantum measurement problem: (1) select a preferred set of observables for which definite values are assumed to exist, or (2) attempt to assign definite values to all observables simultaneously (1810–1). While conventional wisdom has it that the second option is ruled out by the Kochen-Specker theorem, Vink nevertheless advocated it. Making every physical quantity determinate in quantum mechanics carries with it significant conceptual costs, but (...) it also provides a way of addressing the preferred basis problem that arises if one chooses to pursue the first option. The potential costs and benefits of a formulation of quantum mechanics where every physical quantity is determinate are herein examined. The preferred-basis problem How to solve the preferred-basis problem Relativistic constraints Conclusion. (shrink)

We use modified Tsirelson's spaces to prove that there is no finite basis for turbulent Polish group actions. This answers a question of Hjorth and Kechris 329–346; Hjorth, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2000, Section 3.4.3).

A system of semigroup identities is hereditarily finitely based if it defines a variety all semigroups of which are finitely based. Two new types of hereditarily finitely based identity systems are presented. Two of these systems, together with eight existing systems, establish the hereditary finite basis property of every semigroup of order five or less with one possible exception.

We start by very briefly describing the measurement problem in quantum mechanics and its solution by the Many Worlds Interpretation. We then describe the preferred basis problem, and the role of decoherence in the MWI. We discuss a number of approaches to the preferred basis problem and argue that contrary to the received wisdom, decoherence by itself does not solve the problem. We address Wallace’s emergentist approach based on what he calls Dennett’s criterion, and (...) we compare the logical structure of Wallace’s argument that the Hilbert space structure and the unitary dynamics should be considered a complete description of the physics of the universe with the logical structure of the EPR argument against the completeness of quantum mechanics. Then, we consider the nature of so-called “high level emergent facts” and Dennett’s criterion in Wallace’s approach and we discuss the implications of its non-reductive nature. Finally, we conclude that the MWI is not a straightforward interpretation of pure quantum mechanics that doesn't add anything to it. Whether or not it is more parsimonious than other quantum mechanical theories depends on the details of the additions. (shrink)

We consider a representation of the state reduction which depends neither on its reality nor on the details of when and how it emerges. Then by means of the representation we find necessary conditions, even if not the sufficient ones, for a decomposition of the state vector space to be a solution to the basis problem. The conditions are that the decomposition should be Lorentz invariant and orthogonal and that the associated projections should be continuous. They are shown (...) to be able to determine a decomposition in each of a few examples considered if the other circumstances are taken into account together. (shrink)

Epistemological disjunctivism says that one can know that p on the rational basis of one’s seeing that p. The basis problem for disjunctivism says that that can’t be since seeing that p entails knowing that p on account of simply being the way in which one knows that p. In defense of their view disjunctivists have rejected the idea that seeing that p is just a way of knowing that p (the SwK thesis). That manoeuvre is familiar. (...) In this paper I explore the prospects for rejecting instead the thought that if the SwK thesis is true then seeing that p can’t be one’s rational basis for perceptual knowledge. I explore two strategies. The first situates disjunctivism within the context of a ‘knowledge-first’ approach that seeks to reverse the traditional understanding of the relationship between perceptual knowledge and justification (or rational support). But I argue that a more interesting strategy situates disjunctivism within a context that accepts a more nuanced understanding of perceptual beliefs. The proposal that I introduce reimagines disjunctivism in light of a bifurcated conception of perceptual knowledge that would see it cleaved along two dimensions. On the picture that results perceptual knowledge at the judgemental level is rationally supported by perceptual knowledge at the merely functional or ‘animal’ level. This supports a form of disjunctivism that I think is currently off the radar: one that’s consistent both with the SwK thesis and a commitment to a traditional reductive account of perceptual knowledge. (shrink)

We show that the problem of deciding if a finite set of closed terms in normal form is a basis is recursively unsolvable. The restricted problem concerning one element sets is still recursively unsolvable. MSC: 03B40, 03D35.

The problem of the empirical basis is one of the most prominent difficulties within the Popperian tradition. Some claim that Popper’s anti-inductivism and antipsychologism lead to the concession that science has no empirical basis. Recent commentators have focused on this problem in Popper’s methodology. However, the problem also arises in a peculiar way in the thought of two underdiscussed members of the Popperian tradition: William Bartley and Paul Feyerabend. In this article, I aim to accomplish (...) three primary goals. First, I argue that defenses of Popper’s solution to the problem of the empirical basis fail to address the deeper issues that have been pointed out by Popper’s critics. Second, I show how, despite Bartley’s efforts, he also succumbs to a modified version of the problem of the empirical basis. However, Bartley’s later work in evolutionary epistemology provides a more sensible response to the problem. Finally, I show how the problem arises in two distinct senses within Feyerabend’s methodology. I show how Feyerabend accidentally dissolves one sense of the problem and then provide a proposal for remedying the second version of the problem. (shrink)

This essay draws on Ludwig Wittgenstein’s work to argue for a practice-oriented concept of expertise. We propose that conceptualizing types of expertise as having a family resemblance, relative to the problems such expertise addresses, escapes certain limitations of defining expertise as primarily epistemic. Recognizing the pragmatic purchase on actual problems a Wittgensteinian approach provides to discussions of expertise, we seek to understand the nature of expertise in situations where the people who need to make a difficult decision do not possess (...) or have access to the epistemic status that traditionally confers expertise. These are situations where people need to answer difficult questions that, while they may be informed by expertise in the epistemic register, are ultimately decided by expertise that weighs certified knowledge against the intractable characteristics of a particular situation. We suggest that there is not—even deep down on a conceptual level—only one kind of expertise, but multiple kinds of expertise that resonate with diverse kinds of problems. (shrink)

I personally ascribe tremendous importance to the problem of socialization and education: I know of no more important problem. The training of personnel equipped with a high level of specialized qualifications, a scientific worldview, and firm Communist convictions is one of the most important questions of our development. No amount of time is too much to give to its discussion, solution, and philosophical analysis. The convening of this kind of round table, at which representatives of various spheres of (...) scholarship and practice have assembled and at which it is possible to compare and harmonize the most diverse approaches to this interdisciplinary problem, is a very good undertaking. It would seem that this is the essential point of departure for discussing unsolved questions of education and socialization. But it is necessary to look ahead. One would wish to have something like a permanent conference of this kind, regularly functioning and planning its work. (shrink)

The paper explores the logical structure of Rawlsian justice principles in order to see whether their justificatory or explanatory conditions are unproblematic. To facilitate this purpose, drawing on readers of Rawls, the author shows that the Aristotelian principle is used to explain the principles of rational choice, particularly the principle of inclusiveness. Then, on the basis of the Aristotelian principle, Rawls justifies his conclusion, via the principles of rational choice and the theory of primary goods. After figuring out the (...) logical structure of justice as fairness, the author deals with the central objective of the paper, where he exposes some problems suffered by the motivational basis of the principles of justice. The foundation on which Rawls grounds his principles of justice is problematic, and consequently, they remain as matters of contention as of today. Philosophy and Progress, Vol#71-72; No#1-2; Jan-Dec 2022 P 45-60. (shrink)

The author analyses the problem of weak will in Leo Tolstoy’s story Father Sergius. She ponders why the protagonist, a man with such heightened awareness of good and evil, at some point in his life chooses evil. She places the problem of weak will (akrasia) first into the context of the various iterations of determinism and subsequently of the considerations raised by Socrates and Aristotle. As their answers are not fully applicable to the problem of Tolstoy’s titular (...) character, she looks for an explanation to Saint Augustine’s philosophy of free will. (shrink)

Epistemological disjunctivists such as Duncan Pritchard claim that in paradigmatic cases of knowledge the rational support for the known propositions is both factive and reflectively accessible. This position faces some problems, including the basis problem – how can our knowledge be based on such strong reasons that seem to leave no room for non-knowledge and therefore presuppose knowledge? – and the access problem – can disjunctivists avoid the implausible claim that we can achieve knowledge through inference from (...) our introspective awareness of those reasons? I argue that disjunctivists cannot solve both of these problems at the same time by posing the dilemma question whether we can have factive and reflectively accessible reasons without knowledge. While I focus on Pritchard throughout most of the paper, I argue in the last section that other anti-skeptical versions of disjunctivism face the same dilemma. (shrink)

In this paper I shall venture into an area with which I am not very familiar and in which I feel far from confident; namely into phenomenology. My main motive is not to get away from standard, boring, methodological questions like those of induction and demarcation; but the conviction that a phenomenological account of the empirical basis forms a necessary complement to Popper's falsificationism. According to the latter, a scientific theory is a synthetic and universal, hence unverifiable proposition. In (...) fact, in order to be technologically useful, a scientific hypothesis must refer to future states-of-affairs; it ought therefore to remain unverified. But in order to be empirical, a theory must bear some kind of relation to factual statements. According to Popper, such a relation can only be one of potential conflict. Thus a theory T will be termed scientific if and only if T is logically incompatible with a so-called basic statement b, where b is both empirically verifiable and empirically falsifiable. In other words: T is scientific if it entails ¬b; where b, hence also ¬b, is an empirically decidable proposition. (shrink)

Jan Patočka holds that both the Husserlian and the Heideggerian descriptions of history remain abstract because they lack an authentic reflection on historical sense’s appearing, which presupposes a description of the transition from the nonhistorical and prehistorical states of humanity to its final historical state. Nevertheless, it seems that Patočka would confront an internal aporia here because, even if he sought to think the continuity of these three movements, he tends to affirm the rupture between them. To overcome that aporia, (...) it becomes necessary to formulate the hypothesis according to which the prehistorical is characterized by a repression of sense’s problematic character, whereas the historical as such is characterized by a conversion of consciousness toward this problematic character. Justifying this hypothesis requires exploring Patočka’s anthropology, confronting it with Arendt’s anthropology, and formulating metaphysical perspectives. (shrink)

This paper is an attempt to develop a paradigm in problem solving where the notion of virtuality plays a central role. Following a brief discussion on virtual simulation, the paper attempts to identify a notion of virtuality based on the identification of the self (man or computer) with the problem solver. It is shown that such an identification/distinction possibly violates some general principle of the problem environment.To deal with this violation, a new problem is generated and (...) a new virtualization act is required, in order to attain a correspondence between virtuality and reality. A better understanding of this approach requires a combination of analog and digital reasoning: the analog being related to the environment in which the problem solving is required, and the digital to the problem solver's “mental” activities.We will briefly analyze the recursive approach to problem solving and suggest a possible problem solving methodology based on virtuality. The paper concludes with comments on the relation between etnology and virtual reality. (shrink)

The paper identifies defining characteristics of the principal models of problem-solving behavior which are useful in developing a general theory of problem-solving. An attempt is made both to make explicit those disagreements between theorists of different persuasions which have served as obstacles to an integrated approach, and to show that these disagreements have arisen from a number of conceptual confusions: The conflict between information processors and behavioral analysts has resulted from a common failure to understand theoretical sufficiency, and (...) hence these theorists have been at a loss to understand one another. Two directions of research in problem-solving, mechanical algorithmic problem-solving and the psychology of invention, have been thought to be divergent, but in fact complement one another once it is clear that problem-solving involves neither discovery nor invention, but rather is a matter of perceptual encoding and processing. Successful problem-solving behavior can be described as adaptive, learning behavior in which organization skills are effectively associated with situationally determined perceptual encoding processes of the individual mechanical or biological problem-solver. (shrink)

The value problem for knowledge is the problem of explaining why knowledge is more valuable than mere true belief. The problem arises for reliabilism in particular, i.e., the externalist view that knowledge amounts to reliably acquired true belief. Goldman and Olsson argue that knowledge, in this sense, is more valuable than mere true belief due to the higher likelihood of future true beliefs (produced by the same reliable process) in the case of knowledge. They maintain that their (...) solution works given four empirical assumptions, which they claim hold “normally.” However, they do not show that their assumptions are externalistically acceptable; nor do they provide detailed evidence for their normality claim. We address these remaining gaps in Goldman and Olsson’s solution in a constructive spirit. In particular, we suggest an externalist interpretation of the assumptions such that they essentially spell out what it means for a broad range of organisms capable of belief-like representations to be epistemically adapted to their environment. Our investigation also sheds light on the circumstances in which the assumptions fail to hold and knowledge therefore fails to have extra value in Goldman and Olsson’s sense. The upshot is a deeper understanding of their solution as a contribution to naturalized epistemology and a strengthened case for its empirical validity. (shrink)

Social scientific development has been greatly influenced by Galilean-Newtonian thought which emphasized formulation of abstract hypotheses valid throughout all time and space and independent of human characteristics. This influence has resulted in an artificial hiatus between social science and social problem-solving. Dissolution of certain Galilean-Newtonian assumptions has opened the way for integrating aspects of another stream of thought, the Hegelian-Marxian one, into the social scientific endeavor. Hegelian-Marxian thought emphasizes the individual becoming self-conscious of, and involved in, the social-historical process. (...) The uniting of certain aspects of Galilean-Newtonian and Hegelian-Marxian thought provides a genuinely experimental social science in which abstract hypothesis-testing is united with social action that is based on persons' awareness of relevant hypotheses viewed in historical perspective. (shrink)

I argue that the many worlds explanation of quantum computation is not licensed by, and in fact is conceptually inferior to, the many worlds interpretation of quantum mechanics from which it is derived. I argue that the many worlds explanation of quantum computation is incompatible with the recently developed cluster state model of quantum computation. Based on these considerations I conclude that we should reject the many worlds explanation of quantum computation.

This essay focuses on the intriguing relationship between mathematics and physical phenomena, arguing that the brain uses a single spatiotemporal- causal objective framework in order to characterize and manipulate basic external data and internal physical and emotional reactive information, into more complex thought and knowledge. It is proposed that multiple hierarchical permutations of this single format eventually give rise to increasingly precise visceral meaning. The main thesis overcomes the epistemological complexities of the Frame Problem by asserting that the primal (...) frame of reference – within which chaotic conscious thought ultimately emerges – is essentially a synchronous representation of the four macro properties of existence plus the genetically derived causal objective, and the embodied physical and emotional reactions that even the lowliest cognitive organisms are born with, and which they automatically express as they struggle to exist within an ever-changing and often hostile environment. -/-. (shrink)

Many lesbians and gay men apply for asylum in the U.K. each year on the basis that they fear persecution in their home country because of their sexual orientation. The legal basis for claiming asylum on the ground of sexual identity is now well established. Nevertheless, making these claims remains very difficult for applicants. Western cultural expectations around sexual identity often mix with homophobic assumptions about sexual behaviour to present applicants as “not sufficiently gay”. Furthermore, applicants may not (...) initially disclose their sexual identity to legal advisors, leading to assumptions that they are not “telling the truth” to the Immigration Tribunal. In this article, Barry O’Leary, a solicitor and legal activist on behalf of lesbian and gay refugees, discusses these problems and how U.K.-based asylum lawyers have attempted to work round them. (shrink)

Abstract In her recent discussion of the problem of the empirical basis, Susan Haack sets out to show that the solutions offered by the Popperian school are all inadequate. Her objectives, however, go well beyond the mere refutation of such?claims. She also tries to explicate the contribution of experience to the justification of one's belief, thus adjudicating between founda?tionalism and coherentism. She puts forward what she calls a ?foundherentist? account of the structure of justification which, she claims, retains (...) the virtues of both foundationalism and coherentism while avoiding their vices. In this article I shall try to show that, in addition to failing to explicate the justificatory role of experience, her proposal is actually a version of coherentism and that a coherentist need not find her account of the contribution of experience to justification particularly objectionable. (shrink)

We study the problem of finding a basis for all rules admissible in the intuitionistic propositional logic IPC. The main result is Theorem 3.1 which gives a basis consisting of all rules in semi-reduced form satisfying certain specific additional requirements. Using developed technique we also find a basis for rules admissible in the logic of excluded middle law KC.

RESUMEN El cáncer constituye un serio problema de salud y una de las primeras causas de muerte a nivel mundial, con serias repercusiones sociales, sicológicas, y familiares. Actualmente su prevención y control representa un reto que es necesario asumir teniendo en cuenta todas sus dimensiones. El presente trabajo tiene como objetivo exponer los fundamentos teóricos de la estrategia de intervención sicosocial para la prevención y tratamiento del cáncer en el consejo popular San Juan de Dios. Se revela la fundamentación teórica (...) de la estrategia de intervención desde los diferentes aparatos conceptuales de las ciencias sociales y se hace énfasis en los enfoques sociológicos y sicológicos. Se ofrece el diseño de la estrategia con todos los aspectos contentivos, y se describen las diferentes etapas que la comprenden. ABSTRACT Cancer constitutes a serious problem of health and one of the first causes of death on a global scale, with serious social, psychological, and familiar aftereffects. At present its prevention and control represents a challenge that is necessary to accept bearing in mind all its dimensions. The present work has as objective to exhibit the theoretical basis of the strategy of psychosocial intervention for the prevention and treatment of the cancer in the popular council San Juan de Dios. It reveals the theoretical foundation of the strategy of intervention from the different conceptual devices of the social sciences and emphasizes on the sociological and psychological approaches. The design of the strategy is offered with all the comprising aspects, and there are described the different stages that comprise it. (shrink)