Physicists routinely claim that the fundamental laws of physics are 'time symmetric' or 'time reversal invariant' or 'reversible'. In particular, it is claimed that the theory of quantum mechanics is time symmetric. But it is shown in this paper that the orthodox analysis suffers from a fatal conceptual error, because the logical criterion for judging the time symmetry of probabilistic theories has been incorrectly formulated. The correct criterion requires symmetry between future-directed laws and past-directed laws. This criterion is formulated and (...) proved in detail. The orthodox claim that quantum mechanics is reversible is re-evaluated. The property demonstrated in the orthodox analysis is shown to be quite distinct from time reversal invariance. The view of Satosi Watanabe that quantum mechanics is time asymmetric is verified, as well as his view that this feature does not merely show a de facto or 'contingent' asymmetry, as commonly supposed, but implies a genuine failure of time reversal invariance of the laws of quantum mechanics. The laws of quantum mechanics would be incompatible with a time-reversed version of our universe. (shrink)

The Schwarzschild solution (Schwarzschild, 1915/16) to Einstein’s General Theory of Relativity (GTR) is accepted in theoretical physics as the unique solution to GTR for a central-mass system. In this paper I propose an alternative solution to GTR, and argue it is both logically consistent and empirically realistic as a theory of gravity. This solution is here called K-gravity. The introduction explains the basic concept. The central sections go through the technical detail, defining the basic solution for the geometric tensor, the (...) Christoffel symbols, Ricci tensor, Ricci scalar, Einstein tensor, stress-energy tensor and density-pressure for the system. The density is integrated, and some consistency properties are demonstrated. A notable feature is the disappearance of the event horizon singularity, i.e. there are no black holes. So far this is for a single central mass. A generalization of the solution for multiple masses is then proposed. This is required to support K-gravity as a viable general interpretation of gravity. Then the question of empirical tests is discussed. It is argued that current observational data is almost but not quite sufficient to verify or falsify K-gravity. The Pioneer spacecraft trajectory data is of particular interest, as this is capable of providing a test; but the data (which originally showed anomalies that match K-gravity) is now uncertain. A new and very practical experiment is proposed to settle the matter. This would provide a novel test of GTR, and a novel test of the cause of the Pioneer anomalies. In conclusion, K-gravity has extensive ramifications for gravitational physics and for the philosophy of GTR and space-time. (shrink)

This is a summary presentation of TAU, a theory proposed to explain relativity and unify physics. It is a radical change, because it proposes six dimensions of space, instead of the usual three (normal physics) or nine (string theory). It starts with an alternative foundation for Special Relativity, and leads to a unified theory of physics. It is a realist theory because it is realist about space and time. The TAU concept is briefly introduced here, and its results explained in (...) three main areas, particles, gravity and cosmology. In these areas it makes strong predictions and has several tests. This presentation is based around these applications and the key questions of completing a full particle model, and completing tests of gravity and tests of cosmology. These will decide its fate as an empirical theory. The aim here is to give an overview, in reasonable detail for generalists to see how the model works, but with a minimum of theoretical derivations, so we do not get too bogged down in equations. There are a lot of illustrations instead. Please note this is only a survey of the theory, and a more detailed introduction with proofs follows in Chapters 2-6, where it is developed in stages. In the first half here, we go quickly over the main concepts, in the second half, we give some equations for cosmology and gravity solutions in more detail, because they are more novel. (shrink)

Introduction to alternative ontology of mind and physics based on the multi-dimensional model of A Geometric Theory of the Universe (Holster).

This is Part 2 of a four part paper, intended as an introduction to the key concepts and issues of time directionality for physicists and philosophers. It redresses some fundamental confusions in the subject. These need to be corrected in introductory courses for physics and philosophy of physics students. Here we analyze the quantum mechanical time reversal operator and the reversal of the deterministic Schrodinger equation. It is argued that quantum mechanics is anti-symmetric w.r.t. time reversal in its deterministic laws. (...) This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric (reversible), and that we must adopt the anti-unitary operator (T*) instead of the unitary time reversal operator (T) for time reversal in quantum mechanics. This is widely claimed as settled scientific fact, and large metaphysical conclusions about the symmetry of time are drawn from it. But it is an error. (shrink)

The analysis of the reversibility of quantum mechanics depends upon the choice of the time reversal operator for quantum mechanical states. The orthodox choice for the time reversal operator on QM states is known as the Wigner operator, T*, where * performs complex conjugation. The peculiarity is that this is not simply the unitary time reversal operation, but an anti-unitary operator, involving complex conjugation in addition to ordinary time reversal. The alternative choice is the Racah operator, which is simply ordinary (...) time reversal, T. Orthodox treatments hold that it is either logically or empirically necessary to adopt the Wigner operator, and the Racah operator has received little attention. The basis for this choice is analysed in detail, and it is concluded that all the conventional arguments for rejecting the Racah operator and adopting the Wigner operator are mistaken. The additional problem of whether the deterministic part of quantum mechanics should be judged to be reversible or not is also considered. The adoption of the Racah operator for time reversal appears prima facie to entail that quantum mechanics is irreversible. However, it is concluded that the real answer to question depends upon the choice of interpretation of the theory. In any case, the conventional reasons for claiming that quantum mechanics is reversible are incorrect. (shrink)

This is Part 1 of a four part paper, intended to redress some of the most fundamental confusions in the subject of physical time directionality, and represent the concepts accurately. There are widespread fallacies in the subject that need to be corrected in introductory courses for physics students and philosophers. We start in Part 1 by analysing the time reversal symmetry of quantum probability laws. Time reversal symmetry is defined as the property of invariance under the time reversal transformation, T: (...) t --> -t. It is shown that quantum mechanics (classical or relativistic) is strongly time asymmetric in its probability laws. This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric or reversible. This is widely claimed as settled scientific fact, and large philosophical and scientific conclusions are drawn from it. But it is an error. The fact is that while quantum mechanics is widely claimed to be reversible on the basis of two formal mathematical properties (that it does have), these properties do not represent invariance under the time reversal transformation. A recent experiment (Batalhão at alia, 2015) showing irreversibility of quantum thermodynamics is discussed as an illustration of this result. Most physicists remain unaware of the errors, decades after they were first demonstrated. Orthodox specialists in the philosophy of time who are aware of the error continue to refer to the ‘time symmetry’ or ‘reversibility’ of quantum mechanics anyway – and exploit the ambiguity to claim false implications about physical time reversal symmetry in nature. The excuse for perpetrating the confusion is that, since it is has now become customary to refer to the formal properties of quantum mechanics as ‘reversibility’ or ‘time reversal symmetry’, we should just keep referring to them by this name, even though they are not time reversal symmetry. This causes endless confusion, in attempts to explain the physical irreversibility of our universe, and in philosophical discussions of implications of physics for the nature of time. The failure of genuine time reversal symmetry in quantum mechanics changes the interpretation of modern physics in a deep way. It changes the problem of explaining the real irreversibility found throughout nature. (shrink)

CAT4 is proposed as a general method for representing information, enabling a powerful programming method for large-scale information systems. It enables generalised machine learning, software automation and novel AI capabilities. This is Part 3 of a five-part introduction. The focus here is on explaining the semantic model for CAT4. Points in CAT4 graphs represent facts. We introduce all the formal (data) elements used in the classic semantic model: sense or intension (1st and 2nd joins), reference (3rd join), functions (4th join), (...) time and truth (logical fields), and symbolic content (name/value fields). Concepts are introduced through examples alternating with theoretical discussion. Some concepts are assumed from Part 1 and 2, but key ideas are re-introduced. The purpose is to explain the CAT4 interpretation, and why the data structure and CAT4 axioms have been chosen: to make the semantic model consistent and complete. We start with methods to translate information from database tables into graph DBs and into CAT4. We conclude with a method for translating natural language into CAT4. We conclude with a comparison of the system with an advanced semantic logic, the hyper-intensional logic TIL, which also aims to translate NL into a logical calculus. The CAT4 Natural Language Translator is discussed in further detail in Part 4, when we introduce functions more formally. Part 5 discusses software design considerations. (shrink)

A fundamental problem in understanding the nature of time is explaining its directionality. This 1990 PhD thesis re-examines the concepts of time flow, the physical directionality of time, and the semantics of tensed language. Several novel results are argued for that contradict the orthodox anti-realist views still dominant in the subject. Specifically, the concept of "metaphysical time flow" is supported as a valid scientific concept, and argued to be intrinsic to the directionality of objective probabilities in quantum mechanics; the common (...) claims that quantum probability theory is time reversible is shown to be based on an analytic error, stemming from a false choice for the criterion for reversibility of probabilistic theories (recognized by Satosi Watanabe in the 1950s but ignored in all philosophical discussions); and a consistent semantics for tensed language (adapted from the tree model of Storrs McCall) is constructed, showing that the common rejection of "time flow" as having no meaningful semantics is false. These debates are still ongoing in almost exactly the same state they were pre-1990, and there is appears to be no visible progress in the subject. Critical points made against errors in the orthodox account (which has been sustained for 70 years by the anti-realist philosophy of time, typified by the "Pittsburg School" of Grunbaum-Earman-Norton-Roberts), are still not recognized in the philosophy of time or physics. Some key technical proofs in this thesis have been published in physics proper. See p.ii-iii for full original abstract. (This pdf is uploaded from the Massey University archive.). (shrink)

Kriegel described the problem of intentional inexistence as one of the ‘perennial problems of philosophy’, 307–340, 2007: 307). In the same paper, Kriegel alluded to a modal realist solution to the problem of intentional inexistence. However, Kriegel does not state by name who defends the kind of modal realist solution he has in mind. Kriegel also points out that even what he believes to be the strongest version of modal realism does not pass the ‘principle of representation’ and thus modal (...) realism is not an adequate solution to the problem of intentional inexistence. In this paper, I respond to Kriegel by defending a modal realist solution that he did not consider in 2007, called ‘extended modal realism’. EMR is a version of modal realism where possible worlds are not completely isolated as they are under the Lewisian model. Rather, under EMR worlds are, in a way, spatiotemporally related. The fact EMR worlds are related allows EMR to sufficiently pass the principle of representation and thus can be deemed a legitimate solution to the problem of intentional inexistence. I conclude that either EMR can pass the principle of representation in some cases or, and I think the more sensible option, we give up on the principle of representation altogether. (shrink)

In this paper, I argue that Goff's view that universal consciousness grounds logical laws such as the law of non-contradiction cannot be true on the grounds that we cannot guarantee the classical logic loving nature of universal consciousness that Goff desires in order to ground logical laws. I will present three arguments to show this.

This paper walks through four different approaches to Hegel's notion of Consciousness in the Phenomenology of Spirit. Through taking four different approaches our aim is to explore the multifaceted nature of the phenomenological movement of consciousness. The first part provides an overview of the three chapters of the section on Consciousness, namely Sense-Certainty, Perception and Force and the Understanding, attempting to unearth the implicit logic that undergirds Consciousness’ experience. The second part focuses specifically on the shape of Sense-Certainty, providing an (...) analysis of the movement from Sense-Certainty to Perception from a neuroscientific view. Thirdly, we consider an inferentialist reading of the chapters on Consciousness which has been made popular by Robert Brandom. We think that while this view elucidates the connection that Hegel draws between meaning and use, it fails to account for the vital place of immediacy in each of the shapes. Finally, the fourth part suggests that Hegel’s notion of Consciousness improves the reading of tragedy he develops in chapters 5 and 7 of the Phenomenology. While many critics have noted that Hegel fails to do justice to tragic experience, Consciousness contains an epistemology that develops analogously to the heroes of ancient tragedy. Each approach in this paper comes at Hegel’s description of the journey of Consciousness from a different angle, and together they paint a multi-layered picture of a highly important part of Hegel’s corpus. (shrink)

Since Thomas Kuhn’s The Structure of Scientific Revolutions (1962), historians and philosophers of science have paid increasing attention to the implications of disciplinarity. In this chapter we consider restrictions posed to interdisciplinary exchange between ecology and economics that result from a particular kind of commitment to the ideal of disciplinary purity, that is, that each discipline is defined by an appropriate, unique set of objects, methods, theories, and aims. We argue that, when it comes to the objects of study (...) in ecology and economics, ideas of disciplinary purity have been underwritten by the artificial-natural distinction. We then problematize this distinction, and thus disciplinary purity, both conceptually and empirically. Conceptually, the distinction is no longer tenable. Empirically, recent interdisciplinary research has shown the epistemological and policy-oriented benefits of dealing with models which explicitly link anthropogenic (i.e., “artificial”) and non-anthropogenic factors (i.e., “natural”). We conclude that, in the current age of the Anthropocene, it is to be expected that without interdisciplinary exchange, ecology and economics may relinquish global relevance because the distinct and separate systems to which each “pure” science was originally made to apply will only diminish over time. (shrink)

This paper examines the idea of "objective phenomenology," or a way of understanding the phenomenal character of conscious experiences that doesn’t require one to have had the kinds of experiences under consideration. My central thesis is that structural facts about experience—facts that characterize purely how conscious experiences are structured—are objective phenomenal facts. I begin by precisifying the idea of objective phenomenology and diagnosing what makes any given phenomenal fact subjective. Then I defend the view that structural facts about experience are (...) objective. I also argue that structural facts about experience, despite being objective, nevertheless still give rise to an explanatory gap. (shrink)

This critical study takes Nagel's book to task for its obscurity, and for its under-argued rejection of naturalism.

In diesem Beitrag liefere ich eine Interpretation und Verteidigung der These Thomas Kuhns von der Priorität von Paradigmen. Ich behaupte, daß Kuhns Argument für diese These wichtiger, als gewöhnlich angenommen wird, ist, und zwar sowohl für die Klärung seiner Ideen als auch für die Wissenschaftstheorie im allgemeinen. Anerkennt man seine Kritik an der üblichen Auffassung, daß Regeln den Paradigmen vorausgehen, so erscheint vieles von dem, was er über andere Gegenstände sagt, in einem neuen Licht, und viele Schwierigkeiten, die Philosophen (...) bei ihren Versuchen zur Erklärung des Wissenschaftswandels angetroffen haben, erweisen sich als unbegründet. (shrink)

The Proper Functionist account of warrant – like many otherexternalist accounts – is vulnerable to certain Gettier-style counterexamples involving accidentally true beliefs. In this paper, I briefly survey the development of the account, noting the way it was altered in response to such counterexamples. I then argue that Alvin Plantinga's latest amendment to the account is flawed insofar as it rules out cases of true beliefs which do intuitively strike us as knowledge, and that a conjecture recently put forward by (...) Thomas Crisp is also defective. I conclude by presenting my own suggestion as to how the account can be made less vulnerable to counterexamples involving accidentally true beliefs. Although I stay within the confines of Proper Functionism here, I think that my proposal (modulo a few details) could be attached to other externalist accounts of warrant as well. -/- . (shrink)

The guilt left by immoral actions is why moral duties are more pressing and serious than other reasons like prudential considerations. Religions talk of sin and karma; the secular still speak of spots or stains. I argue that a moral staining view of guilt is in fact the best model. It accounts for guilt's reflexive character and for anxious, scrupulous worries about whether one has transgressed. To understand moral staining, I borrow Christine Korsgaard's view that we construct our identities as (...) agents through our actions. The contribution of immoral actions to self-constitution explains why moral obligations have priority and importance. (shrink)

The goal of this paper is to show that Thomas Aquinas, in his _Disputed Questions on Evil_, presents a theory of free will that is compatibilist but still involves a version of the principle of alternative possibilities (PAP) and even requires alternative possibilities for a certain kind of responsibility. In Aquinas’ view, choosing between possibilities is not the primary power of the will. Rather, choice arises through the complex interaction of various parts of human psychology, in particular through the (...) indeterminacy of the intellect and through the interaction between reason and passion. Both of these ways provide cases where Aquinas not only allows for alternative possibilities but thinks that they are necessary for moral responsibility, all the while remaining, strictly speaking, a compatibilist. (shrink)

It is often claimed that liberalism is falsely and perniciously universalist. I take this charge seriously, exploring three positions: the communitarians’, Rorty’s, and that of “comprehensive” liberalism. After explaining why universalism is thought impossible, I examine the communitarian view that value is determined within communities and argue that it results in a form of relativism that is unacceptable. I next discuss Richard Rorty’s liberal acceptance of “conventionalism” and explain how, despite his rejection of universalism, Rorty remains a liberal. I then (...) present a defense of universalism, based in part on arguments that parallel Thomas Nagel’s arguments in defense of a “view from nowhere” and Jean Hampton’s objectivist arguments against Rawls’s moves to a “merely political” theory. That defense requires that we can distance ourselves from our ends to make moral judgments shorn of all partialities. (shrink)

I develop the conjecture that “naturalism” in philosophy names not a thesis but a paradigm in something like Thomas Kuhn’s sense, i.e., a set of commitments, shared by a group of investigators, whose acceptance by the members of the group powerfully influences their day-to-day investigative practice. I take a stab at spelling out the shared commitments that make up naturalism, and the logical and evidential relations among them.

Review of T. Nickles (ed), Scientific Discovery: Case Studies.

Thomas Pogge and Andrew Kuper suggest that we should promote an ‘institutional’ solution to global poverty. They advocate the institutional solution because they think that non-governmental organizations (NGOs) can never be the primary agents of justice in the long run. They provide several standard criticisms of NGO aid in support of this claim. However, there is a more serious problem for institutional solutions: how to generate enough goodwill among rich nation-states that they would be willing to commit themselves (...) to supranational institutional reforms. In the current international political climate, the implementation of such institutional reforms introduces several intractable problems, including difficulties of global coordination and enforcement. I defend the solution of NGO aid from the criticisms presented by Pogge and Kuper, and propose how it might be reformed. My main suggestion is that all practising NGOs should be required to be ‘accountable for reasonableness’ in the sense that Norman Daniels and James Sabin have outlined. (shrink)

The question “What is an organism?”, formerly considered as essential in biology, has now been increasingly replaced by a larger question, “What is a biological individual?”. On the grounds that i) individuation is theory-dependent, and ii) physiology does not offer a theory, biologists and philosophers of biology have claimed that it is the theory of evolution by natural selection which tells us what counts as a biological individual. Here I show that one physiological field, immunology, offers a theory, which makes (...) possible a biological individuation based on physiological grounds. I give a new answer to the question of the individuation of an organism by linking together the evolutionary and the immunological approaches to biological individuation. (shrink)

Some philosophers believe that when epistemic peers disagree, each has an obligation to accord the other's assessment the same weight as her own. I first make the antecedent of this Equal-Weight View more precise, and then I motivate the View by describing cases in which it gives the intuitively correct verdict. Next I introduce some apparent counterexamples – cases of apparent peer disagreement in which, intuitively, one should not give equal weight to the other party's assessment. To defuse these apparent (...) counterexamples, an advocate of the View might try to explain how they are not genuine cases of peer disagreement. I examine David Christensen's and Adam Elga's explanations and find them wanting. I then offer a novel explanation, which turns on a distinction between knowledge from reports and knowledge from direct acquaintance. Finally, I extend my explanation to provide a handy and satisfying response to the charge of self-defeat. (shrink)

A good account of the agnostic attitude of Suspending Judgement should explain how it can be rendered more or less rational/justified according to the state of one's evidence – and one's relation to that evidence. I argue that the attitude of suspending judgement whether p constitutively involves having a belief; roughly, a belief that one cannot yet tell whether or not p. I show that a theory of suspending that treats it as a sui generis attitude, wholly distinct from belief, (...) struggles to account for how suspension of judgement can be rendered more or less rational (or irrational) by one's evidence. I also criticise the related idea that suspension essentially requires an 'Inquiring Attitude'. I show how a belief-based theory, in contrast, neatly accounts for the rational and epistemic features of suspending and so neatly accounts for why an agnostic has a genuine neutral opinion concerning the question whether p, as opposed to simply having no opinion. (shrink)

In this paper I will offer a comprehensive defense of the safety account of knowledge against counterexamples that have been recently put forward. In Sect. 2, I will discuss different versions of safety, arguing that a specific variant of method-relativized safety is the most plausible. I will then use this specific version of safety to respond to counterexamples in the recent literature. In Sect. 3, I will address alleged examples of safe beliefs that still constitute Gettier cases. In Sect. 4, (...) I will discuss alleged examples of unsafe knowledge. In Sect. 5, I will address alleged cases of safe belief that do not constitute knowledge for non-Gettier reasons. My overall goal is to show that there are no successful counterexamples to robust anti-luck epistemology and to highlight some major presuppositions of my reply. (shrink)

In this paper, we examine a number of relevant logics’ variable sharing properties from the perspective of theories of topic or subject-matter. We take cues from Franz Berto’s recent work on topic to show an alignment between families of variable sharing properties and responses to the topic transparency of relevant implication and negation. We then introduce and defend novel variable sharing properties stronger than strong depth relevance—which we call cn-relevance and lossless cn-relevance—showing that the properties are satisfied by the weak (...) relevant logics and , respectively. We argue that such properties address a sort of semantic lossiness of strong depth relevance. (shrink)

Lay persons may have intuitions about morality's objectivity. What do these intuitions look like? And what are their causes and consequences? In recent years, an increasing number of scholars have begun to investigate these questions empirically. This article presents and assesses the resulting area of research as well as its potential philosophical implications. First, we introduce the methods of empirical research on folk moral objectivism. Second, we provide an overview of the findings that have so far been made. Third, we (...) raise a number of methodological worries that cast doubt upon these findings. And fourth, we discuss ways in which lay persons' intuitions aboutmoral objectivity may bear on philosophical claims. (shrink)

I present two arguments that aim to establish logical limits on what we can know. More specifically, I argue for two results concerning what we can know about questions that we cannot answer. I also discuss a line of thought, found in the writings of Pierce and of Rescher, in support of the idea that we cannot identify specific scientific questions that will never be answered.

The Elephant and the Blind is a book about why we need a new culture of consciousness, and how to get it. A culture of consciousness (or Bewusstseinskultur) is a culture that values and cultivates the mental states of its members in an ethical and evidence-based way.

The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The weak version of KB is characterized by the assumption that the axioms and rules of KB have to be satisfied with the exception of the axiom (NI) of negative introspection. The proof of a topological completeness theorem for weak KB is based on the fact that nuclei (as defined in the framework of point-free topology) (...) give rise to a profusion of topological belief operators that are compatible with the familiar topological knowledge operator. Thereby a canonical topological model for weak KB can be constructed. For this canonical model a truth lemma for the K and B holds such that a completeness theorem for KB can be proved in the familiar way. The second aim of this paper is to show that the topological interpretation of knowledge K comes along with a complete Heyting algebra of belief operators B that all fit the knowledge operator K in the sense that the pairs (K, B) satisfy all axioms of weak KB. This amounts to a pluralistic relation between knowledge and belief: Knowledge does not fully determine belief, rather it designs a conceptual space for belief operators where different (competing) belief operators coexist. (shrink)

Verificationism has had a bad press for many years. The view that the meaning of our words is bound up with the discernible difference it would make if what we say, think or write were true or false, nowadays is scorned as “positivist” though it was shared by eminent empiricists and pragmatists. This paper seeks to sort through some of the complexities of what is often portrayed as an unduly simplistic conception. I begin with an overview of its main logical (...) empiricist varieties before considering which aspects of it fall victim to which of the three major types of objection that have been raised against it. I will conclude that what is left standing is a modest proposal that seems worth further investigation. (shrink)

David Ekdahl (2023), in a constructive and thoughtful commentary, outlines both points of agreement with and suggestions for further research arising from our paper ‘Crossing the Fictional Line: Moral Graveness, the Gamer’s Dilemma, and the Paradox of Fictionally Going Too Far’ (Montefiore & Formosa, 2023).

In recent years an increasing number of psychologists have begun to explore the prevalence, causes and effects of ordinary people’s intuitions about moral realism. Many of these studies have lacked in construct validity, i.e., they have failed to measure moral realism. My aim in this paper accordingly is to motivate and guide methodological improvements. In analysis of prominent existing measures, I develop general recommendations for overcoming ten prima facie serious worries about research on folk moral realism. G1 and G2 require (...) studies’ answer choices to be as metaethically comprehensive as methodologically feasible. G3 and G4 prevent fallacious inferences from intuitions about related debates. G5 and G6 limit first-order moral and epistemic influences. G7 address studies’ instructions. And G8 and G9 suggest tests of important psychological presuppositions. (shrink)

Several scholars, including Martin Hengel, R. Alan Culpepper, and Richard Bauckham, have argued that Papias had knowledge of the Gospel of John on the grounds that Papias’s prologue lists six of Jesus’s disciples in the same order that they are named in the Gospel of John: Andrew, Peter, Philip, Thomas, James, and John. In “A Note on Papias’s Knowledge of the Fourth Gospel” (JBL 129 [2010]: 793–794), Jake H. O’Connell presents a statistical analysis of this argument, according to (...) which the probability of this correspondence occurring by chance is lower than 1%. O’Connell concludes that it is more than 99% probable that this correspondence is the result of Papias copying John, rather than chance. I show that O’Connell’s analysis contains multiple mistakes, both substantive and mathematical: it ignores relevant evidence, overstates the correspondence between John and Papias, wrongly assumes that if Papias did not know John he ordered the disciples randomly, and conflates the probability of A given B with the probability of B given A. In discussing these errors, I aim to inform both Johannine scholarship and the use of probabilistic methods in historical reasoning. (shrink)

Einführung in die Philosophie Rudolf Carnaps.

This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s recent topological reconstruction (...) of Sainsbury’s theory of prototypically defined concepts is shown to lead to the same class of spaces that characterize Bobzien’s account of columnar vagueness, namely, weakly scattered spaces. Rumfitt calls these spaces polar spaces. They turn out to be closely related to Gärdenfors’ conceptual spaces, which have come to play an ever more important role in cognitive science and related disciplines. Finally, Williamson’s “logic of clarity” is explicated in terms of a generalized topology (“locology”) that can be considered an alternative to standard topology. Arguably, locology has some conceptual advantages over topology with respect to the conceptualization of a boundary and a borderline. Moreover, in Williamson’s logic of clarity, vague concepts with respect to a notion of a locologically inspired notion of a “slim boundary” are (stably) columnar. Thus, Williamson’s logic of clarity also exhibits a certain affinity for columnar vagueness. In sum, a topological perspective is useful for a conceptual elucidation and unification of central aspects of a variety of contemporary accounts of vagueness. (shrink)

According to Amos Funkenstein, Stephen Gaukroger and Andrew Cunningham, seventeenth-century natural philosophy was fused with theology, driven by theology, and pursued primarily to shed light on God. Experimental natural philosophy might seem to provide a case in point. According to its English advocates, like Robert Boyle and Thomas Sprat, experimental philosophy embodies the Christian virtues of humility, innocence, and piety, it helps establish God’s existence, attributes, and providence, and it provides a basis for evangelism. This chapter shows that, (...) unlike their English counterparts, experimental philosophers in seventeenth-century Italy kept natural philosophy sharply distinct from theological and religious matters. This indicates that seventeenth-century experimental philosophy was not, as such, theologically driven or oriented. It also suggests that there was no intrinsic relation between experimental philosophy and religion. Whether experimental philosophy was presented as an ally of religion or as distinct from it was, to a significant extent, a matter of cultural politics. It depended on which rhetorical and argumentative strategies were believed to be most likely to ensure freedom of research and institutional support for the work of experimental philosophers in a specific sociopolitical context. (shrink)

Eva Erman and Niklas Möller have recently criticised a range of political theorists for committing a pragmatistic fallacy, illicitly drawing normative conclusions from politically neutral ideas abo...

Much attention has recently been paid to the idea, which I label ‘External World Acquaintance’ (EWA), that the phenomenal character of perceptual experience is partially constituted by external features. One motivation for EWA which has received relatively little discussion is its alleged ability to help deal with the ‘Explanatory Gap’ (e.g. Fish 2008, 2009, Langsam 2011, Allen 2016). I provide a reformulation of this general line of thought, which makes clearer how and when EWA could help to explain the specific (...) phenomenal nature of visual experience. In particular, I argue that by focusing on the different kinds of perceptual actions that are available in the case of visual spatial vs. colour perception, we get a natural explanation for why we should expect the specific nature of colour phenomenology to remain less readily intelligible than the specific nature of visual spatial phenomenology. (shrink)

According to general wisdom, Carnap's quasianalysis is an ingenious but definitively flawed approach to epistemology and philosophy of science. I argue that this assessment is mistaken. Rather, Carnapian quasianalysis can be reconstructed as a special case of a general theory of structural representation. This enables us to exploit some interesting analogies of quasianalysis with the representational theory of measurement. It is shown how Goodman's well-known objections against the quasianalytical approach may be defused in the new framework. As an application, I (...) sketch how the thesis of empirical underdetermination of theories may be elucidated in the framework of quasianalysis. (shrink)

Theories of rational decision making often abstract away from computational and other resource limitations faced by real agents. An alternative approach known as resource rationality puts such matters front and center, grounding choice and decision in the rational use of finite resources. Anticipated by earlier work in economics and in computer science, this approach has recently seen rapid development and application in the cognitive sciences. Here, the theory of rationality plays a dual role, both as a framework for normative assessment (...) and as a source of scientific hypotheses about how mental processes in fact work. The latter project, often called rational analysis, depends for its success on a fine-grained characterization of the computational problem facing a decision maker, which may in turn depend on realistic assumptions about what the relevant agent is like. As a consequence, resource rationality involves a delicate, but often fruitful interplay between the normative and the descriptive. (shrink)

In this paper a solution of Whitehead’s problem is presented: Starting with a purely mereological system of regions a topological space is constructed such that the class of regions is isomorphic to the Boolean lattice of regular open sets of that space. This construction may be considered as a generalized completion in analogy to the well-known Dedekind completion of the rational numbers yielding the real numbers . The argument of the paper relies on the theories of continuous lattices and “pointless” (...) topology.

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Albert Camus is most famous for his engagement with the absurd. Both in his philosophical and literary works his main focus was on the nature and normative consequences of this idea. However, Camus was also concerned with what he referred to as the “feeling of the absurd”. Philosophers have so far paid little attention to Camus’ thoughts about the feeling of the absurd. In this paper I provide a detailed analysis of this feeling. It turns out that the feeling of (...) the absurd is not, strictly speaking, a feeling. It is rather a conjunction of a mood (feeling of the absurd in the narrow sense) and of emotions that this mood tends to give rise to (appearances of the feeling of the absurd). Moreover, both moods and emotions qualify as absurd in virtue of their promoting the discovery of the absurd; that is, the discovery that humans search for meaning, but the world does not answer this search. (shrink)

This paper looks at the critical reception of two central claims of Peter Auriol’s theory of cognition: the claim that the objects of cognition have an apparent or objective being that resists reduction to the real being of objects, and the claim that there may be natural intuitive cognitions of nonexistent objects. These claims earned Auriol the criticism of his fellow Franciscans, Walter Chatton and Adam Wodeham. According to them, the theory of apparent being was what had led Auriol to (...) allow for intuitive cognitions of nonexistents, but the intuitive cognition of nonexistents, at its turn, led to scepticism. Modern commentators have offered similar readings of Auriol, but this paper argues, first, that the apparent being provides no special reason to think there could be intuitions of nonexistent objects, and second, that despite his idiosyncratic account of intuition, Auriol was no more vulnerable to scepticism than his critics. (shrink)