One of the most noticeable trends in recent years has been the increasing reliance of public decision-making processes on algorithms, i.e. computer-programmed step-by-step instructions for taking a given set of inputs and producing an output. The question raised by this article is whether the rise of such algorithmic governance creates problems for the moral or political legitimacy of our public decision-making processes. Ignoring common concerns with data protection and privacy, it is argued that algorithmic governance does pose a significant threat (...) to the legitimacy of such processes. Modelling my argument on Estlund’s threat of epistocracy, I call this the ‘threat of algocracy’. The article clarifies the nature of this threat and addresses two possible solutions. It is argued that neither solution is likely to be successful, at least not without risking many other things we value about social decision-making. The result is a somewhat pessimistic conclusion in which we confront the possibility that we are creating decision-making processes that constrain and limit opportunities for human participation. (shrink)

Centuries ago, Descartes and Locke initiated a foundational debate in epistemology over the relationship between knowledge, on the one hand, and practical factors, on the other. Descartes claimed that knowledge and practice are fundamentally separate. Locke claimed that knowledge and practice are fundamentally united. After a period of dormancy, their disagreement has reignited on the contemporary scene. Latter-day Lockeans claim that knowledge itself is essentially connected to, and perhaps even constituted by, practical factors such as how much is at stake, (...) how important the situation is, or how one should act. Latter-day Cartesians claim, by contrast, that knowledge is entirely constituted by truth-related factors such as truth, belief, and evidence. Each side has supported its case with claims about patterns in ordinary behavior and knowledge judgments. Lockeans argue that these patterns are best explained by positing a fundamental and direct link between knowledge and practical factors. Cartesians argue that the patterns can be equally well explained by positing an indirect link, entirely mediated by the traditional factors of truth, belief, and evidence, thereby rendering the Lockean hypothesis unnecessary. We argue that Cartesians are right about some practical factors, in particular stakes and how important a situation is, which have, at best, a modest indirect relationship to knowledge. However, Lockeans are right about actionability: whether a person should pursue a course of action is unquestionably very powerfully and directly connected to knowledge. (shrink)

According to factive accounts of the norm of belief and decision-making, you should not believe or base decisions on a falsehood. Even when the evidence misleadingly suggests that a false proposition is true, you should not believe it or base decisions on it. Critics claim that factive accounts are counterintuitive and badly mischaracterize our ordinary practice of evaluating beliefs and decisions. This paper reports four experiments that rigorously test the critic’s accusations and the viability of factive accounts. The results undermine (...) the accusations and provide the best evidence yet of factive norms of belief and decision-making. The results also help discriminate between two leading candidates for a factive norm: truth and knowledge. Knowledge is the superior candidate. (shrink)

I propose and defend the hypothesis that understanding is the norm of explanation. On this proposal, an explanation should express understanding. I call this the understanding account of explanation. The understanding account is supported by social and introspective observations. It is also supported by the relationship between knowledge and understanding, on the one hand, and assertion and explanation, on the other.

We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analysing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.

A collaborative article by the Editorial Collective of Social Imaginaries. Investigations into social imaginaries have burgeoned in recent years. From ‘the capitalist imaginary’ to the ‘democratic imaginary’, from the ‘ecological imaginary’ to ‘the global imaginary’ – and beyond – the social imaginaries field has expanded across disciplines and beyond the academy. The recent debates on social imaginaries and potential new imaginaries reveal a recognisable field and paradigm-in-the-making. We argue that Castoriadis, Ricoeur, and Taylor have articulated the most important theoretical frameworks (...) for understanding social imaginaries, although the field as a whole remains heterogeneous. We further argue that the notion of social imaginaries draws on the modern understanding of the imagination as authentically creative. We contend that an elaboration of social imaginaries involves a significant, qualitative shift in the understanding of societies as collectively and politically-instituted formations that are irreducible to inter-subjectivity or systemic logics. After marking out the contours of the field and recounting a philosophical history of the imagination, the essay turns to debates on social imaginaries in more concrete contexts, specifically political-economic imaginaries, the ecological imaginary, multiple modernities and their inter-civilisational encounters. The social imaginaries field imparts powerful messages for the human sciences and wider publics. In particular, social imaginaries hold significant implications for ontological, phenomenological and philosophical anthropological questions; for the cultural, social, and political horizons of contemporary worlds; and for ecological and economic phenomena. The essay concludes with the argument that social imaginaries as a paradigm-in-the-making offers valuable means by which movements towards social change can be elucidated as well providing an open horizon for the critiques of existing social practices. (shrink)

The Metaphysics of Free Will provides a through statement of the major grounds for skepticism about the reality of free will and moral responsibility. The author identifies and explains the sort of control that is associated with personhood and accountability, and shows how it is consistent with causal determinism. In so doing, out view of ourselves as morally responsible agents is protected against the disturbing changes posed by science and religion.

Mitochondrial DNA (mtDNA) diseases are a group of neuromuscular diseases that often cause suffering and premature death. New mitochondrial replacement techniques (MRTs) may offer women with mtDNA diseases the opportunity to have healthy offspring to whom they are genetically related. MRTs will likely be ready to license for clinical use in the near future and a discussion of the ethics of the clinical introduction ofMRTs is needed. This paper begins by evaluating three concerns about the safety of MRTs for clinical (...) use on humans: (1) Is it ethical to use MRTs if safe alternatives exist? (2) Would persons with three genetic contributors be at risk of suffering? and (3) Can society trust that MRTs will be made available for humans only once adequate safety testing has taken place, and that MRTs will only be licensed for clinical use in a way that minimises risks? It is then argued that the ethics debate about MRTs should be reoriented towards recommendingways to reduce the possible risks of MRT use on humans. Two recommendations are made: (1) licensed clinical access to MRTs should only be granted to prospective parents if they intend to tell their children about their MRT conception by adulthood; and (2) sex selection should be used in conjunction with the clinical use ofMRTs, in order to reduce transgenerational health risks. (shrink)

Information-theoretic approaches to formal logic analyse the "common intuitive" concept of propositional implication (or argumental validity) in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; an argument is valid if the conclusion contains no information beyond that of the premise-set. This paper locates information-theoretic approaches historically, philosophically and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and (...) by contrasting them with standard transformation-theoretic approaches. Transformation-theoretic approaches analyse validity (and thus implication) in terms of transformations that map one argument onto another: a given argument is valid if no transformation carries it onto an argument with all true premises and false conclusion. Model-theoretic, set-theoretic, and substitution-theoretic approaches, which dominate current literature, can be construed as transformation-theoretic, as can the so-called possible-worlds approaches. Ontic and epistemic presuppositions of both types of approaches are considered. Attention is given to the question of whether our historically cumulative experience applying logic is better explained from a purely information-theoretic perspective or from a purely transformation-theoretic perspective or whether apparent conflicts between the two types of approaches need to be reconciled in order to forge a new type of approach that recognizes their basic complementarity. (shrink)

It is commonly thought that one is irrationally akratic when one believes one ought to F but does not intend to F. However, some philosophers, following Robert Audi, have argued that it is sometimes rational to have this combination of attitudes. I here consider the question of whether rational akrasia is possible. I argue that those arguments for the possibility of rational akrasia advanced by Audi and others do not succeed. Specifically, I argue that cases in which an akratic agent (...) acts as he has most reason to act, and cases in which an akratic agent achieves a kind of global coherence he wouldn’t have achieved had he instead formed intentions in line with his best judgment, do not establish the possibility of rational akrasia. However, I do think that rational akrasia is possible, and I present two arguments for this thesis. The first argument involves a case in which one is incapable of revising one’s belief about what one ought to do, where one also acknowledges this belief to be insufficiently supported by the evidence. The second argument involves a case in which one rationally believes that one ought to have an akratic combination of attitudes. (shrink)

An advanced artificial intelligence could pose a significant existential risk to humanity. Several research institutes have been set-up to address those risks. And there is an increasing number of academic publications analysing and evaluating their seriousness. Nick Bostrom’s superintelligence: paths, dangers, strategies represents the apotheosis of this trend. In this article, I argue that in defending the credibility of AI risk, Bostrom makes an epistemic move that is analogous to one made by so-called sceptical theists in the debate about the (...) existence of God. And while this analogy is interesting in its own right, what is more interesting are its potential implications. It has been repeatedly argued that sceptical theism has devastating effects on our beliefs and practices. Could it be that AI-doomsaying has similar effects? I argue that it could. Specifically, and somewhat paradoxically, I argue that it could amount to either a reductio of the doomsayers position, or an important and additional reason to join their cause. I use this paradox to suggest that the modal standards for argument in the superintelligence debate need to be addressed. (shrink)

Six hundred three people completed a survey measuring perceptions of traditional areas of philosophical inquiry and their relationship to empirical science. The ten areas studied were: aesthetics, epistemology, ethics, history of philosophy, logic, metaphysics, philosophy of language, philosophy of mind, philosophy of science, and political philosophy. For each area, participants rated whether it is currently central to philosophy, whether its centrality depends on integration with science, and whether work in the area is sufficiently integrated with science. Centrality judgments tended to (...) be high. Participants viewed nine of the ten areas as central to philosophy, although they made this judgment more confidently for some areas. Dependence judgments were more varied, ranging from clear disagreement to clear agreement. Integration judgments were also varied but exhibited more uncertainty. Some areas whose centrality depended on integration were judged to be well integrated, but a central tendency for all other areas was ambivalence. Demographic factors had small but statistically significant effects on all three sorts of judgment. Higher age predicted higher centrality judgments and higher integration judgments. Higher socioeconomic status predicted lower dependence judgments and higher integration judgments. Men recorded higher integration judgments. (shrink)

Aristotle said that induction (epagōgē) is a proceeding from particulars to a universal, and the definition has been conventional ever since. But there is an ambiguity here. Induction in the Scholastic and the (so-called) Humean tradition has presumed that Aristotle meant going from particular statements to universal statements. But the alternate view, namely that Aristotle meant going from particular things to universal ideas, prevailed all through antiquity and then again from the time of Francis Bacon until the mid-nineteenth century. Recent (...) scholarship is so steeped in the first-mentioned tradition that we have virtually forgotten the other. In this essay McCaskey seeks to recover that alternate tradition, a tradition whose leading theoreticians were William Whewell, Francis Bacon, Socrates, and in fact Aristotle himself. The examination is both historical and philosophical. The first part of the essay fills out the history. The latter part examines the most mature of the philosophies in the Socratic tradition, specifically Bacon’s and Whewell’s. After tracing out this tradition, McCaskey shows how this alternate view of induction is indeed employed in science, as exemplified by several instances taken from actual scientific practice. In this manner, McCaskey proposes to us that the Humean problem of induction is merely an artifact of a bad conception of induction and that a return to the Socratic conception might be warranted. (shrink)

“Second-order Logic” in Anderson, C.A. and Zeleny, M., Eds. Logic, Meaning, and Computation: Essays in Memory of Alonzo Church. Dordrecht: Kluwer, 2001. Pp. 61–76. -/- Abstract. This expository article focuses on the fundamental differences between second- order logic and first-order logic. It is written entirely in ordinary English without logical symbols. It employs second-order propositions and second-order reasoning in a natural way to illustrate the fact that second-order logic is actually a familiar part of our traditional intuitive logical framework and (...) that it is not an artificial formalism created by specialists for technical purposes. To illustrate some of the main relationships between second-order logic and first-order logic, this paper introduces basic logic, a kind of zero-order logic, which is more rudimentary than first-order and which is transcended by first-order in the same way that first-order is transcended by second-order. The heuristic effectiveness and the historical importance of second-order logic are reviewed in the context of the contemporary debate over the legitimacy of second-order logic. Rejection of second-order logic is viewed as radical: an incipient paradigm shift involving radical repudiation of a part of our scientific tradition, a tradition that is defended by classical logicians. But it is also viewed as reactionary: as being analogous to the reactionary repudiation of symbolic logic by supporters of “Aristotelian” traditional logic. But even if “genuine” logic comes to be regarded as excluding second-order reasoning, which seems less likely today than fifty years ago, its effectiveness as a heuristic instrument will remain and its importance for understanding the history of logic and mathematics will not be diminished. Second-order logic may someday be gone, but it will never be forgotten. Technical formalisms have been avoided entirely in an effort to reach a wide audience, but every effort has been made to limit the inevitable sacrifice of rigor. People who do not know second-order logic cannot understand the modern debate over its legitimacy and they are cut-off from the heuristic advantages of second-order logic. And, what may be worse, they are cut-off from an understanding of the history of logic and thus are constrained to have distorted views of the nature of the subject. As Aristotle first said, we do not understand a discipline until we have seen its development. It is a truism that a person's conceptions of what a discipline is and of what it can become are predicated on their conception of what it has been. (shrink)

The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...) is to demonstrate that ordinary English properly used has the resources for intricate and philosophically sound investigation of rather deep issues in logic and philosophy of language. No mathematical, logical, or linguistic symbols are used. Meanings need to be identified and clarified before being expressed in symbols. We hope to establish that clarity is served by deferring the extensive use of formalized or logically perfect languages until a solid “informal” foundation has been established. Questions of “ontological status”—e.g., whether propositions or sentences, or for that matter characters, numbers, truth-values, or instants, are “real entities”, are “idealizations”, or are “theoretical constructs”—plays no role in this paper. As is suggested by the title, this paper is written to be read aloud. -/- I hope that reading this aloud in groups will unite people in the enjoyment of the humanistic spirit of analytic philosophy. (shrink)

This paper tries to clarify, strengthen and respond to two prominent objections to the development and use of human enhancement technologies. Both objections express concerns about the link between enhancement and the drive for hyperagency. The first derives from the work of Sandel and Hauskeller—and is concerned with the negative impact of hyperagency on social solidarity. In responding to their objection, I argue that although social solidarity is valuable, there is a danger in overestimating its value and in neglecting some (...) obvious ways in which the enhancement project can be planned so as to avoid its degradation. The second objection, though common to several writers, has been most directly asserted by Saskia Nagel, and is concerned with the impact of hyperagency on the burden and distribution of responsibility. Though this is an intriguing objection, I argue that not enough has been done to explain why this is morally problematic. I try to correct for this flaw before offering a variety of strategies for dealing with the problems raised. (shrink)

Two options are incommensurate in value if neither is better than the other, and if a small improvement or worsening of one does not necessarily make it determinately better or worse than the other. If a person faces a sequence of choices between incommensurate options, she may end up with a worse options than she could have had, even though none of her choices are irrational. Yet it seems that rationality should save her from this bad outcome. This is the (...) practical problem posed by incommensurability of values, and it may be solved by a new account of practical reasoning. (shrink)

It’s a cornerstone of epistemology that knowledge requires truth – that is, that knowledge is factive. Allan Hazlett boldly challenges orthodoxy by arguing thatthe ordinary concept of knowledge is not factive. On this basis Hazlett further argues that epistemologists shouldn’t concern themselves with the ordinary concept of knowledge, or knowledge ascriptions and related linguistic phenomena. I argue that either Hazlett is wrong about the ordinary concept of knowledge, or he’s right in a way that leaves epistemologists to carry on exactly (...) as they have, paying attention to much the same things they always did. (shrink)

Experiences of embodied remembering are familiar and diverse. We settle bodily into familiar chairs or find our way easily round familiar rooms. We inhabit our own kitchens or cars or workspaces effectively and comfortably, and feel disrupted when our habitual and accustomed objects or technologies change or break or are not available. Hearing a particular song can viscerally bring back either one conversation long ago, or just the urge to dance. Some people explicitly use their bodies to record, store, or (...) cue memories. Others can move skilfully, without stopping to think, in complex and changing environments thanks to the cumulative expertise accrued in their history of fighting fires, or dancing, or playing hockey. The forms of memory involved in these cases may be distinct, operating at different timescales and levels, and by way of different mechanisms and media, but they often cooperate in the many contexts of our practices of remembering. (shrink)

[Edited from Conclusion section:] We have looked at various challenging issues to do with getting connectionism to cope with high-level cognitive activities such a reasoning and natural language understanding. The issues are to do with various facets of generalization that are not commonly noted. We have been concerned in particular with the special forms these issues take in the arena of propositional attitude processing. The main problems we have looked at are: (1) The need to construct explicit representations of generalizations, (...) not just generalize correctly to individual cases; (2) The need to be able to match two or more complex short-term information structures, to enable rapid generalization from recent examples rather than from long-term memories; (3) The need to represent and reason with anomalous combinations of concepts; (4) The need to perform embedded reasoning. This presents special problems for systems using non-concatenative representations (as in mainstream connectionist approaches). We also touched on vague quantification in attitude report complements. Neither this topic nor that of analogies between short-term structures (point 2) has been adequately addressed in the symbolic framework, let alone in connectionism. -/- The opportunities and problems covered are put forward as things worth being optimistic about or pessimistic about, respectively. They are not put forward as decisive arguments for or against connectionism. The hope is that this chapter contributes to a greater understanding of the connectionist/symbolist gap by presenting some unusual issues and by throwing new light on some well known ones. (shrink)

Visualizing and mental imagery are thought to be cognitive states by all sides of the imagery debate. Yet the phenomenology of those states has distinctly visual ingredients. This has potential consequences for the hypothesis that vision is cognitively impenetrable, the ability of visual processes to ground perceptual warrant and justification, and the distinction between cognitive and perceptual phenomenology. I explore those consequences by describing two forms of visual ambiguity that involve visualizing: the ability to visually experience a picture surface as (...) flat after it has caused volumetric nonconceptual contents, and the ability to use a surface initially perceived as flat to visualize three-dimensional scenes. In both cases, the visual processes which extract viewer-centered volumetric shapes have to rely solely on monocular depth cues in the absence of parallax and stereopsis. Those processes can be cognitively penetrated by acts of visualizing, including ones that draw on conceptual information about kinds. However, the penetrability of the visual processes does not weaken their ability to provide perceptual warrant and justification for beliefs. The reason is that picture perceptions—whether they are stimulus -driven or based on acts of visualizing—are different to object perceptions both phenomenologically and in terms of their functional roles as states. Thus, although the penetrability of the visual processes does mean that subjects can have visual experiences with contradictory contents, perceptual belief is adopted at most towards one set of contents, and questions of warrant and justification are raised only for those contents. A rule-proving exception is provided by trompe-l’oeils. (shrink)

While there has been much work on cosmological arguments, novel objections will be presented against the modern day rendition of the Kalām cosmological argument as standardly articulated by William Lane Craig. The conclusion is reached that this cosmological argument and several of its variants do not lead us to believe that there is inevitably a supernatural cause to the universe. Moreover, a conditional argument for atheism will be presented in light of the Big Bang Theory.

Thomas Reid distinguished between natural and artificial language and argued that natural language has a very specific sort of priority over artificial language. This paper critically interprets Reid's discussion, extracts a Reidian explanatory argument for the priority of natural language, and places Reid's thought in the broad tradition of Cartesian linguistics.

Like all reasoning, practical reasoning is a process that takes a person from some of her existing mental states to a new mental state. Theoretical reasoning concludes in a belief; practical reasoning in an intention. This paper concentrates on instrumental reasoning, a species of practical reasoning in general. It argues that instrumental reasoning is correct if the content of the reasoning is a valid derivation, just as theoretical reasoning is correct if its content is a valid derivation. It also argues (...) that neither theoretical nor practical reasoning gives a reason for its conclusion. If a piece of reasoning is correct, it concludes in a state - a belief or an intention - that is rationally required by the states it is derived from, but rationally requiring a conclusion is not the same as giving a reason for it. (shrink)

Remembering is one of the most characteristic and most puzzling of human activities. Personal memory, in particular – the ability mentally to travel back into the past, as leading psychologist Endel Tulving puts it – often has intense emotional or moral significance: it is perhaps the most striking manifestation of the peculiar way human beings are embedded in time, and of our limited but genuine freedom from our present environment and our immediate needs. Memory has been significant in the history (...) of philosophy as much in relation to ethics and to epistemology as in theories of psyche, mind, and self. (shrink)

This article covers four types of hedonism: ancient hedonism; ethical hedonism; axiological hedonism; and psychological hedonism. It concentrates on the latter two types, both by clarifying them and by discussing arguments in their behalf. It closes with a few words about the relevance of those positions to applied ethics.

Economists can value things for cost-benefit analysis using either a structured or an unstructured approach. The first imposes some theoretical structure on the valuation; the second does not. This paper explains the difference between the approaches and examines the relative merits of each. Cost-benefit analysis may be aimed at finding what would be the best action, or alternatively at finding which action should be done in a democracy. The paper explains the difference, and argues that the appropriate aim is the (...) first. Given that, it comes down in favour of the structured approach to valuation. As an example, it discusses different approaches to valuing life in economics. (shrink)

Climate negotiations under the United Nations Framework Convention on Climate Change have so far failed to achieve a robust international agreement to reduce greenhouse gas emissions. Game theory has been used to investigate possible climate negotiation solutions and strategies for accomplishing them. Negotiations have been primarily modelled as public goods games such as the Prisoner’s Dilemma, though coordination games or games of conflict have also been used. Many of these models have solutions, in the form of equilibria, corresponding to possible (...) positive outcomes—that is, agreements with the requisite emissions reduction commitments. Other work on large-scale social dilemmas suggests that it should be possible to resolve the climate problem. It therefore seems that equilibrium selection may be a barrier to successful negotiations. Here we use an N-player bargaining game in an agent-based model with learning dynamics to examine the past failures of and future prospects for a robust international climate agreement. The model suggests reasons why the desirable solutions identified in previous game-theoretic models have not yet been accomplished in practice and what mechanisms might be used to achieve these solutions. (shrink)

A critical explanation of Ernest Sosa's bi-level virtue epistemology.

This review article critiques Stephen Davies' The Artful Species: Aesthetics, Art, and Evolution.

We need to understand, and on a philosophical level, our consumer mentality. For ours is a consumer society. Yet (pace environmental philosophers) philosophers have had almost nothing to say. This paper is a start toward a normative philosophy of consumption. It explores a distinction which, if viable, has far-reaching implications — the distinction between ownership and what I call “possession.” This distinction marks two different senses in which a good or service can be mine. I argue that an approach to (...) consumption oriented around possession rather than ownership would support the conclusion that there are prudential or self-interested, not only moral or environmental, limits to rational consumption. That would be a very desirable conclusion given that we often exceed these other limits of rational consumption. (shrink)

The meaning of an utterance is often enriched by the pragmatic context in which it is uttered. This is because in ordinary conversations we routinely and uncontroversially compress what we say, safe in the knowledge that those interpreting us will ‘add in’ the content we intend to communicate. Does the same thing hold true in the case of legal utterances like ‘This constitution protects the personal rights of the citizen’ or ‘the parliament shall have the power to lay and collect (...) taxes’? This article addresses this question from the perspective of the constitutional originalist—the person who holds that the meaning of a constitutional text is fixed at some historical moment. In doing so, it advances four theses. First, it argues that every originalist theory is committed to some degree of pragmatic enrichment, the debate is about how much. Second, that in determining which content gets ‘added in’, originalists typically hold to a common knowledge standard for enrichment, protestations... (shrink)

This article examines the fourteen conditions constituting Levinson and Alperson’s taxonomy of conditions for temporal arts. It claims that some of the conditions and several of the lists of arts exemplifying them need revision. It recommends adding a new condition concerned with the effects of the passage of time on gardens, environmental sculpture, and outdoor installations. The article concludes that gardens may be a model for understanding and appreciating other arts sharing the same bi-(multi-) modality.

In Social Imaginaries, vol. 1, nr. 1 (Spring 2015) due out in May 2015.

This paper corrects a mistake I saw students make but I have yet to see in print. The mistake is thinking that logically equivalent propositions have the same counterexamples—always. Of course, it is often the case that logically equivalent propositions have the same counterexamples: “every number that is prime is odd” has the same counterexamples as “every number that is not odd is not prime”. The set of numbers satisfying “prime but not odd” is the same as the set of (...) numbers satisfying “not odd but not not-prime”. The mistake is thinking that every two logically-equivalent false universal propositions have the same counterexamples. Only false universal propositions have counterexamples. A counterexample for “every two logically-equivalent false universal propositions have the same counterexamples” is two logically-equivalent false universal propositions not having the same counterexamples. The following counterexample arose naturally in my sophomore deductive logic course in a discussion of inner and outer converses. “Every even number precedes every odd number” is counterexemplified only by even numbers, whereas its equivalent “Every odd number is preceded by every even number” is counterexemplified only by odd numbers. Please let me know if you see this mistake in print. Also let me know if you have seen these points discussed before. I learned them in my own course: talk about learning by teaching! (shrink)

This paper attempts to reconcile two apparently opposed ways of thinking about the imagination and its relationship to literature, one which casts it as essentially concerned with fiction-making and the other with culture-making. The literary imagination’s power to create fictions is what gives it its most obvious claim to “autonomy”, as Kant would have it: its freedom to venture out in often wild and spectacular excess of reality. The argument of this paper is that we can locate the literary imagination’s (...) complementary power of cultural articulation in this fictional activity. The suggestion is that we should conceive of the literary imagination as expressing its interests in culture not mimetically but by producing a certain kind of meaning. This meaning is irreducibly narratological, and understanding it helps us to see the role of narrative in bringing into harmony the literary imagination’s interests in both the imaginary and the real. (shrink)

In this article I contrast 17th and 18th explanations of hysteria including those of Sydenham and Willis with those given by Plato and pre-modern medicine. I show that beginning in the second decade of the 17th century the locus of the disorder was transferred to the nervous system and it was no longer connected with the womb as in Hippocrates and Galen; hysteria became identified with hypochondria, and was a disease contracted by men as well as women. I discuss the (...) purely mechanical explanation of hysteria given by Robert Boyle who attributed its cause to corporeal ideas as well as overly sensitive disposition of the nervous system. I relate this the mechanical theory of the nervous system prominent in Descartes' writings on physiology. The paper closes with a discussion of the contrast between early modern explanations of hysteria and the nature of man with those of Freud in the early 20th century. (shrink)

Formalizing Euclid’s first axiom. Bulletin of Symbolic Logic. 20 (2014) 404–5. (Coauthor: Daniel Novotný) -/- Euclid [fl. 300 BCE] divides his basic principles into what came to be called ‘postulates’ and ‘axioms’—two words that are synonyms today but which are commonly used to translate Greek words meant by Euclid as contrasting terms. -/- Euclid’s postulates are specifically geometric: they concern geometric magnitudes, shapes, figures, etc.—nothing else. The first: “to draw a line from any point to any point”; the last: the (...) parallel postulate. -/- Euclid’s axioms are general principles of magnitude: they concern geometric magnitudes and magnitudes of other kinds as well even numbers. The first is often translated “Things that equal the same thing equal one another”. -/- There are other differences that are or might become important. -/- Aristotle [fl. 350 BCE] meticulously separated his basic principles [archai, singular archê] according to subject matter: geometrical, arithmetic, astronomical, etc. However, he made no distinction that can be assimilated to Euclid’s postulate/axiom distinction. -/- Today we divide basic principles into non-logical [topic-specific] and logical [topic-neutral] but this too is not the same as Euclid’s. In this regard it is important to be cognizant of the difference between equality and identity—a distinction often crudely ignored by modern logicians. Tarski is a rare exception. The four angles of a rectangle are equal to—not identical to—one another; the size of one angle of a rectangle is identical to the size of any other of its angles. No two angles are identical to each other. -/- The sentence ‘Things that equal the same thing equal one another’ contains no occurrence of the word ‘magnitude’. This paper considers the problem of formalizing the proposition Euclid intended as a principle of magnitudes while being faithful to the logical form and to its information content. (shrink)

2006. George Boole. Encyclopedia of Philosophy. 2nd edition. Detroit: Macmillan Reference USA. -/- George Boole (1815-1864), whose name lives among modern computer-related sciences in Boolean Algebra, Boolean Logic, Boolean Operations, and the like, is one of the most celebrated logicians of all time. Ironically, his actual writings often go unread and his actual contributions to logic are virtually unknown—despite the fact that he was one of the clearest writers in the field. Working with various students including Susan Wood and Sriram (...) Nambiar, I have written several publications trying to set the record straight—but so far to little avail. This encyclopedia entry is one more attempt to set the record straight in a way that can be appreciated by non-experts.Also see https://www.academia.edu/10161999/Booles_criteria_of_validity_and_invalidity . (shrink)

_The Challenge of Human Rights_ traces the history of human rights theory from classical antiquity through the enlightenment to the modern human rights movement, and analyses the significance of human rights in today’s increasingly globalized world. Provides an engaging study of the origin and the philosophical and political development of human rights discourse. Offers an original defence of human rights. Explores the significance of human rights in the context of increasing globalisation. Confronts the major objections to human rights, including the (...) charge of western ethical imperialism and cultural relativism. Argues that human rights logically culminate in an ethical cosmopolitanism to reflect the moral unity of the human race. (shrink)