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)

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. It is based on a special type of relation called CAT4, which is interpreted to provide a semantic representation. This is Part 1 of a five-part introduction. The focus here is on defining the key mathematical structures first, and presenting the semantic-database application in subsequent Parts. We focus in Part 1 (...) on general axioms for the structures, and introduce key concepts. Part 2 analyses the CAT2 sub-relation of CAT4 in more detail. The interpretation of fact networks is introduced in Part 3, where we turn to interpreting semantics. We start with examples of relational and graph databases, with methods to translate them into CAT3 networks, with the aim of retaining the meaning of information. The full application to semantic theory comes in Part 4, where we introduce general functions, including the language interpretation or linguistic functions. The representation of linear symbolic languages, including natural languages and formal symbolic languages, is a function that CAT4 is uniquely suited to. In Part 5, we turn to software design considerations, to show how files, indexes, functions and screens can be defined to implement a CAT4 system efficiently. (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. It is based on a special type of relation called CAT4, which is interpreted to provide a semantic representation. This is Part 2 of a five-part introduction. The focus here is on defining key mathematical properties of CAT2, identifying the topology and defining essential functions over a coordinate system. The analysis (...) is from first principles. This develops on from the axioms introduced in Part 1. The interpretation of fact networks is introduced in Part 3, and the full application to semantic theory comes in Part 4, where we introduce general functions, including the language interpretation or linguistic functions. In Part 5, we turn to software design considerations, to show how files, indexes, functions and screens can be defined to implement a CAT4 system efficiently. (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)

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

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)

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)

Discussion of Thomas Kuhn's remarks about paradigms.

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)

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 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 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)

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.

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)

In Disturbed Consciousness, philosophers and other scholars examine various psychopathologies in light of specific philosophical theories of consciousness. The contributing authors—some of them discussing or defending their own theoretical work—consider not only how a theory of consciousness can account for a specific psychopathological condition but also how the characteristics of a psychopathology might challenge such a theory. Thus one essay defends the higher-order thought (HOT) theory of consciousness against the charge that it cannot account for somatoparaphrenia (a delusion in which (...) one denies ownership of a limb). Another essay argues that various attempts to explain away such anomalies within subjective theories of consciousness fail. -/- Other essays consider such topics as the application of a model of unified consciousness to cases of brain bisection and dissociative identity disorder; prefrontal and parietal underconnectivity in autism and other psychopathologies; self-deception and the self-model theory of subjectivity; schizophrenia and the vehicle theory of consciousness; and a shift in emphasis away from an internal (or brainbound) approach to psychopathology to an interactive one. Each essay offers a distinctive perspective from the intersection of philosophy, consciousness research, and psychiatry. -/- Contributors Alexandre Billon, Andrew Brook, Paula Droege, Rocco J. Gennaro, Philip Gerrans, William Hirstein, Jakob Hohwy, Uriah Kriegel, Timothy Lane, Thomas Metzinger, Erik Myin, Inez Myin-Germeys, Myrto Mylopoulos, Gerard O’Brien, Jon Opie, J. Kevin O’Regan, Iuliia Pliushch, Robert Van Gulick . (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)

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)

The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over (...) and above substances was likely aimed at Francisco Suárez, and shows how White’s worries about the analysis of location were linked with his broader cosmological views. White rejects real qualities, but holds that the quantity of a substance is somehow distinct from its bearer. This reveals a common ground with some of his scholastic interlocutors, but lays bare a deep disagreement with thinkers like Descartes on the nature of matter. (shrink)

Is it possible for an individual that has gone out of being to come back into being again? The English Aristotelian, Thomas White, argued that it is not. Thomas Hobbes disagreed, and used the case of the Ship of Theseus to argue that individuals that have gone out of being may come back into being again. This paper provides the first systematic account of their arguments. It is doubtful that Hobbes has a consistent case against White. Still his (...) criticism may have prompted White to clarify his views on identity over time in his later work. (shrink)

A review of Andrew Melnyk, A Physicalist Manifesto: Thoroughly Modern Materialism (Cambridge University Press, 2003).

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The aim of the Analytic of Concepts is to derive and deduce a set of pure concepts of the understanding, the categories, which play a central role in Kant’s explanation of the possibility of synthetic a priori cognition and judgment. This chapter is structured around two questions. First, what is a pure concept of the understanding? Second, what is involved in a deduction of a pure concept of the understanding? In answering the first, we focus on how the categories differ (...) from the pure forms of sensibility and examine whether they are known only to be the pure forms of human thinking or rather the forms of discursive cognition as such. In answering the second, we draw a distinction between the application and the exemplification of the categories and use it to identify different ways of understanding Kant’s project in the Transcendental Deduction of the Categories. These questions connect because the answer to the first determines how we should understand the kind of entitlement which is to be established in the Deduction. (shrink)

A list of resources for virtue theories of argumentation. Last updated April 19th, 2022.

In this paper I return to the question of whether intuition is object-dependent. Kant’s account of the imagination appears to suggest that intuition is not object-dependent. On a recent proposal, however, the imagination is a faculty of merely inner intuition, the inner objects of which exist and are present in the way demanded by object-dependence views, such as Lucy Allais’s relational account. I argue against this proposal on both textual and philosophical grounds. It is inconsistent with what Kant says about (...) how the imagination functions and is ultimately incompatible with the relational account it is supposed to support. Kant’s account of the imagination remains a serious obstacle for the view that intuition is object-dependent. (shrink)

Many philosophers accept both of the following claims: (1) consciousness matters morally, and (2) species membership doesn’t matter morally. In other words, many reject speciesism but accept what we might call 'sentientism'. But do the reasons against speciesism yield analogous reasons against sentientism, just as the reasons against racism and sexism are thought to yield analogous reasons against speciesism? This paper argues that speciesism is disanalogous to sentientism (as well as racism and sexism). I make a case for the following (...) asymmetry: (a) some non-humans clearly have interests, but (b) no non-conscious entities clearly have interests. This asymmetry, I argue, renders sentientism resistant to the standard argument against speciesism. (shrink)

Andrews argues for a pluralistic folk psychology that employs different kinds of practices and different kinds of cognitive tools (including personality trait attribution, stereotype activation, inductive reasoning about past behavior, and ...

The question of possible moral conflict between commitment to family and to impartiality is particularly relevant to traditional Confucian thought, given the importance of familial bonds in that tradition. Classical Confucian ethics also appears to lack any developed theoretical commitment to impartiality as a regulative ideal and a standpoint for ethical judgment, or to universal equality. The Confucian prioritizing of family has prompted criticism of Confucian ethics, and doubts about its continuing relevance in China and beyond. This chapter assesses how (...) those sympathetic to the Confucian vision of the good life might respond. It first explores Confucian conceptions of love and the importance of familial love. Next, problems arising from this commitment to partiality are discussed, and how a modern Confucian ethics might respond. I explore what notions of impartiality—understood largely pragmatically, as a value that functions in everyday social life rather than as an explicit moral principle that guides deliberation or judgment—can be derived from an ethics that focuses on family commitments. (shrink)

The essays in this volume explore those aspects of Kant’s writings which concern issues in the philosophy of mind. These issues are central to any understanding of Kant’s critical philosophy and they bear upon contemporary discussions in the philosophy of mind. Fourteen specially written essays address such questions as: What role does mental processing play in Kant’s account of intuition? What kinds of empirical models can be given of these operations? In what sense, and in what ways, are intuitions object-dependent? (...) How should we understand the nature of the imagination? What is inner sense, and what does it mean to say that time is the form of inner sense? Can we cognize ourselves through inner sense? How do we self-ascribe our beliefs and what role does self-consciousness play in our judgments? Is the will involved in judging? What kind of knowledge can we have of the self ? And what kind of knowledge of the self does Kant proscribe? These essays showcase the depth of Kant’s writings in the philosophy of mind, and the centrality of those writings to his wider philosophical project. Moreover, they show the continued relevance of Kant’s writings to contemporary debates about the nature of mind and self. Contents: 0. Introduction Anil Gomes and Andrew Stephenson 1. Kant, The Philosophy Of Mind, And Twentieth Century Analytic Philosophy Anil Gomes 2. Synthesis And Binding Lucy Allais 3. Understanding Non-Conceptual Representation Of Objects: Empirical Models Of Sensibility’s Operation Katherine Dunlop 4. Are Kantian Intuitions Object-Dependent? Stefanie Grüne 5. Intuition And Presence Colin McLear 6. Imagination And Inner Intuition Andrew Stephenson 7. Inner Sense And Time Ralf M. Bader 8. Can’t Kant Cognize Himself? Or, A Problem For (Almost) Every Interpretation Of The Refutation Of Idealism Andrew Chignell 9. A Kantian Critique Of Transparency Patricia Kitcher 10. Judging For Reasons: On Kant And The Modalities Of Judgment Jessica Leech 11. Kant On Judging And The Will Jill Vance Buroker 12. Self and Selves Ralph C. S. Walker 13. Subjects Of Kant’s First Paralogism Tobias Rosefeldt 14. The Lessons Of Kant’s Paralogisms Paul Snowdon. (shrink)

In their account of theory change in logic, Aberdein and Read distinguish 'glorious' from 'inglorious' revolutions--only the former preserves all 'the key components of a theory' [1]. A widespread view, expressed in these terms, is that empirical science characteristically exhibits inglorious revolutions but that revolutions in mathematics are at most glorious [2]. Here are three possible responses: 0. Accept that empirical science and mathematics are methodologically discontinuous; 1. Argue that mathematics can exhibit inglorious revolutions; 2. Deny that inglorious revolutions are (...) characteristic of science. Where Aberdein and Read take option 1, option 2 is preferred by Mizrahi [3]. This paper seeks to resolve this disagreement through consideration of some putative mathematical revolutions. [1] Andrew Aberdein and Stephen Read, The philosophy of alternative logics, The Development of Modern Logic (Leila Haaparanta, ed.), Oxford University Press, Oxford, 2009, pp. 613-723. [2] Donald Gillies (ed.), Revolutions in Mathematics, Oxford University Press, Oxford, 1992. [3] Moti Mizrahi, Kuhn's incommensurability thesis: What's the argument?, Social Epistemology 29 (2015), no. 4, 361-378. (shrink)

Virtue theories have become influential in ethics and epistemology. This paper argues for a similar approach to argumentation. Several potential obstacles to virtue theories in general, and to this new application in particular, are considered and rejected. A first attempt is made at a survey of argumentational virtues, and finally it is argued that the dialectical nature of argumentation makes it particularly suited for virtue theoretic analysis.

The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these concepts apart. It emphasizes the role of argumentation as a context shared by evidence, proofs, and derivations. The utility of argumentation theory, in general, and argumentation schemes, in particular, (...) as a methodology for the study of mathematical practice is thereby demonstrated. Argumentation schemes represent an almost untapped resource for mathematics education. Notably, they provide a consistent treatment of rigorous and non-rigorous argumentation, thereby working to exhibit the continuity of reasoning in mathematics with reasoning in other areas. Moreover, since argumentation schemes are a comparatively mature methodology, there is a substantial body of existing work to draw upon, including some increasingly sophisticated software tools. Such tools have significant potential for the analysis and evaluation of mathematical argumentation. The first four sections of the paper address the relationships of evidence to proof, proof to derivation, argument to proof, and argument to evidence, respectively. The final section directly addresses some of the educational implications of an argumentation scheme account of mathematical reasoning. (shrink)

This essay reassesses the relation between Kant and Kripke on the relation between necessity and the a priori. Kripke famously argues against what he takes to be the traditional view that a statement is necessary only if it is a priori, where, very roughly, what it means for a statement to be necessary is that it is true and could not have been false and what it means for a statement to be a priori is that it is knowable independently (...) of experience. Call such a view the Entailment Thesis. Along with many Kant scholars, Kripke thinks that Kant endorses the Entailment Thesis. Thus Kripke and many others take his arguments against the Entailment Thesis to tell against Kant and to mark an important point of disagreement with him. I will argue that this is a mistake. Kant does not endorse the Entailment Thesis that Kripke and many others attribute to him. He does endorse two quite different theses concerning the relation between necessity and the a priori, as he conceives them. One is a matter of definition and the other is a very substantial philosophical thesis indeed—to establish it is the aim of the entire Critique of Pure Reason. But Kripke’s arguments against the Entailment Thesis tell against neither of Kant’s theses, as they involve crucially different conceptions of necessity and the a priori. This superficial lack of disagreement masks deep disagreements, but these result from divergent views regarding matters such as realism, modal epistemology, and philosophical methodology; views which Kant does a lot, and Kripke very little, to argue for. (shrink)

In this extended critical discussion of 'Kant's Modal Metaphysics' by Nicholas Stang (OUP 2016), I focus on one central issue from the first chapter of the book: Stang’s account of Kant’s doctrine that existence is not a real predicate. In §2 I outline some background. In §§3-4 I present and then elaborate on Stang’s interpretation of Kant’s view that existence is not a real predicate. For Stang, the question of whether existence is a real predicate amounts to the question: ‘could (...) there be non-actual possibilia?’ (p.35). Kant’s view, according to Stang, is that there could not, and that the very notion of non-actual or ‘mere’ possibilia is incoherent. In §5 I take a close look at Stang’s master argument that Kant’s Leibnizian predecessors are committed to the claim that existence is a real predicate, and thus to mere possibilia. I argue that it involves substantial logical commitments that the Leibnizian could reject. I also suggest that it is danger of proving too much. In §6 I explore two closely related logical commitments that Stang’s reading implicitly imposes on Kant, namely a negative universal free logic and a quantified modal logic that invalidates the Converse Barcan Formula. I suggest that each can seem to involve Kant himself in commitment to mere possibilia. (shrink)

This paper draws out and connects two neglected issues in Kant’s conception of a priori knowledge. Both concern topics that have been important to contemporary epistemology and to formal epistemology in particular: knowability and luminosity. Does Kant commit to some form of knowability principle according to which certain necessary truths are in principle knowable to beings like us? Does Kant commit to some form of luminosity principle according to which, if a subject knows a priori, then they can know that (...) they know a priori? I defend affirmative answers to both of these questions, and by considering the special kind of modality involved in Kant’s conceptions of possible experience and the essential completability of metaphysics, I argue that his combination of knowability and luminosity principles leads Kant into difficulty. (shrink)

Deep disagreements are characteristically resistant to rational resolution. This paper explores the contribution a virtue theoretic approach to argumentation can make towards settling the practical matter of what to do when confronted with apparent deep disagreement, with particular attention to the virtue of courage.

Recent debates in the interpretation of Kant’s theoretical philosophy have focused on the nature of Kantian intuition and, in particular, on the question of whether intuitions depend for their existence on the existence of their objects. In this paper we show how opposing answers to this question determine different accounts of the nature of Kantian cognition and we suggest that progress can be made on determining the nature of intuition by considering the implications different views have for the nature of (...) cognition. (shrink)

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan formulas, (...) and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

It is often claimed that anti-realism is a form of transcendental idealism or that Kant is an anti-realist. It is also often claimed that anti-realists are committed to some form of knowability principle and that such principles have problematic consequences. It is therefore natural to ask whether Kant is so committed, and if he is, whether this leads him into difficulties. I argue that a standard reading of Kant does indeed have him committed to the claim that all empirical truths (...) are knowable and that this claim entails that there is no empirical truth that is never known. I extend the result to a priori truths and draw some general philosophical lessons from this extension. However, I then propose a re-examination of Kant’s notion of experience according to which he carefully eschews any commitment to empirical knowability. Finally I respond to a remaining problem that stems from a weaker, justified believability principle. (shrink)

What should a virtue theory of argumentation say about fallacious reasoning? If good arguments are virtuous, then fallacies are vicious. Yet fallacies cannot just be identified with vices, since vices are dispositional properties of agents whereas fallacies are types of argument. Rather, if the normativity of good argumentation is explicable in terms of virtues, we should expect the wrongness of bad argumentation to be explicable in terms of vices. This approach is defended through analysis of several fallacies, with particular emphasis (...) on the ad misericordiam. (shrink)