The cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relations—metric vs topological and exact vs co-exact—introduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design. In the first part, we (...) tested whether the processing of metric vs topological relations yielded the same hemispheric specialization as the processing of coordinate vs categorical relations. In the second part, we investigated the specific performance patterns for the processing of five pairs of exact/co-exact relations, where stimuli for the co-exact relations were divided into three categories depending on their distance from the exact case. Regarding the processing of metric vs topological relations, hemispheric differences were found for only a few of the stimuli used, which may indicate that other processing mechanisms might be at play. Regarding the processing of exact vs co-exact relations, results show that the level of agreement among participants in judging co-exact relations decreases with the distance from the exact case, and this for the five pairs of exact/co-exact relations tested. The philosophical implications of these empirical findings for the epistemological analysis of Euclid's diagram-based geometric practice are spelled out and discussed. (shrink)

Recent research has identified a tension between the Safety principle that knowledge is belief without risk of error, and the Closure principle that knowledge is preserved by competent deduction. Timothy Williamson reconciles Safety and Closure by proposing that when an agent deduces a conclusion from some premises, the agent’s method for believing the conclusion includes their method for believing each premise. We argue that this theory is untenable because it implies problematically easy epistemic access to one’s methods. Several possible solutions (...) are explored and rejected. (shrink)

Basic Formal Ontology (BFO) is a top-level ontology consisting of thirty-six classes, designed to support information integration, retrieval, and analysis across all domains of scientific investigation, presently employed in over 350 ontology projects around the world. BFO is a genuine top-level ontology, containing no terms particular to material domains, such as physics, medicine, or psychology. In this paper, we demonstrate how a series of cases illustrating common types of change may be represented by universals, defined classes, and relations employing the (...) BFO framework. We provide discussion of these cases to provide a template for other ontologists using BFO, as well as to facilitate comparison with the strategies proposed by ontologists using different top-level ontologies. (shrink)

In this paper, we present two puzzles involving desire reports concerning series of events. What does a person want to happen in the first event – is it the event with the highest expected return, or the event that is the initial part of the best series? We show that existing approaches fail to resolve the puzzles around this question and develop a novel account of our own. Our semantics is built around three ideas. First, we propose that desire ascriptions (...) are evaluated relative to a contextually supplied set of propositions, or alternatives. The semantic value of an ascription ‘S wants p’ is determined by S's preference ordering over these alternatives. Second, we propose that desire reports carry a requirement to the effect that the prejacent of the ascription must be suitably related to the background set of alternatives. Finally, we suggest that desire reports carry a dominance condition concerning the subject's ranking of the alternatives. Overall, we argue that our theory provides us with an elegant resolution of our puzzles, and yields a promising approach to desire. (shrink)

Inheritance is the principle that deontic `ought' is closed under entailment. This paper is about a tension that arises in connection with Inheritance. More specifically, it is about two observations that pull in opposite directions. One of them raises questions about the validity of Inheritance, while the other appears to provide strong support for it. We argue that existing approaches to deontic modals fail to provide us with an adequate resolution of this tension. In response, we develop a positive analysis, (...) and show that this proposal provides a satisfying account of our intuitions. (shrink)

‘There is no place in the phenomenology of fully absorbed coping’, writes Hubert Dreyfus, ‘for mindfulness. In flow, as Sartre sees, there are only attractive and repulsive forces drawing appropriate activity out of an active body’1. Among the many ways in which history animates dynamical systems at a range of distinctive timescales, the phenomena of embodied human habit, skilful movement, and absorbed coping are among the most pervasive and mundane, and the most philosophically puzzling. In this essay we examine both (...) habitual and skilled movement, sketching the outlines of a multidimensional framework within which the many differences across distinctive cases and domains might be fruitfully understood. Both the range of movement phenomena which can plausibly be seen as instances of habit or skill, and the space of possible theories of such phenomena are richer and more disparate than philosophy easily encompasses. We seek to bring phenomenology into contact with relevant movements in psychological theories of skilful action, in the belief that phenomenological philosophy and cognitive science can be allies rather than antagonists. (shrink)

Soon there will be sex robots. The creation of such devices raises a host of social, legal and ethical questions. In this article, I focus in on one of them. What if these sex robots are deliberately designed and used to replicate acts of rape and child sexual abuse? Should the creation and use of such robots be criminalised, even if no person is harmed by the acts performed? I offer an argument for thinking that they should be. The argument (...) consists of two premises. The first claims that it can be a proper object of the criminal law to regulate wrongful conduct with no extrinsically harmful effects on others. The second claims that the use of robots that replicate acts of rape and child sexual abuse would be wrongful, even if such usage had no extrinsically harmful effects on others. I defend both premises of this argument and consider its implications for the criminal law. I do not offer a conclusive argument for criminalisation, nor would I wish to be interpreted as doing so; instead, I offer a tentative argument and a framework for future debate. This framework may also lead one to question the proposed rationales for criminalisation. (shrink)

ArgumentIn the United States, scientific knowledge is brought before the courts by way of testimony – the testimony of scientific experts. We argue that this expertise is best understoodfirstas related to the quality of the underlying scienceand thenin terms of who delivers it. Bloodstain pattern analysis (BPA), a contemporary forensic science, serves as the vaulting point for our exploration of objectivity as a metric for the quality of a science in judicial contexts. We argue that BPA fails to meet the (...) minimal standard set by Helen Longino’s social-procedural account of objectivity (1990, 2002). In light of some pressing issues for social-procedural accounts, we offer an infrastructural account of objectivity. This account offers what amounts to a friendly amendment to Longino’s account and adds to the ways in which we might analyze social-procedural objectivity. Finally, we address an issue that is pressing in the legal context: given that scientific knowledge is delivered by individuals, not communities, at least in U.S. courts, we (may) need a way to evaluate individual scientific and epistemic agents. We suggest a means for making this evaluation that is derived from our infrastructural account of objectivity. (shrink)

In this paper, we aim to get clear about why renewal is needed in philosophy of religion and how to achieve it. We begin with a fundamental distinction between someone’s perspective in the field and the perspective of the field, arguing that any philosopher of religion is responsible to both. Then we identify eight problems that should prevent the status quo in philosophy from appearing acceptable to anyone who takes the perspective of the field, as well as seven practical suggestions (...) which, if implemented, would help to solve these problems. The problems include such things as tribalism, ignorance about religion, and viewing issues exclusively in terms of what is religiously familiar; the mitigations such things as allowing non-Christians to join the Society of Christian Philosophers, broadening the education of philosophers of religion, and paying more attention to the deep history of religion. (shrink)

An impressive case has been built for the hypothesis that knowledge is the norm of assertion, otherwise known as the knowledge account of assertion. According to the knowledge account, you should assert something only if you know that it’s true. A wealth of observational data supports the knowledge account, and some recent empirical results lend further, indirect support. But the knowledge account has not yet been tested directly. This paper fills that gap by reporting the results of such a test. (...) The knowledge account passes with flying colors. (shrink)

The concept of practical knowledge is central to G.E.M. Anscombe's argument in Intention, yet its meaning is little understood. There are several reasons for this, including a lack of attention to Anscombe's ancient and medieval sources for the concept, and an emphasis on the more straightforward concept of knowledge "without observation" in the interpretation of Anscombe's position. This paper remedies the situation, first by appealing to the writings of Thomas Aquinas to develop an account of practical knowledge as a distinctive (...) form of thought that "aims at production" of things that lie within an agent's power; and then by showing how this Thomistic understanding of practical cognition seems to have been Anscombe's, too. Having done this, I question whether the thesis that agential knowledge is practical knowledge entails that an agent always has non-observational knowledge of what she is intentionally doing. I answer "Not": Anscombe's claims to the contrary rest on a misleading assimilation of human beings' finite agency to that of an infinite agent like God. (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 consider a serious objection to the knowledge account of assertion and develop a response. In the process I introduce important new data on prompting assertion, which all theorists working in the area should take note of.

Rivka Weinberg advances an error theory of ultimate meaning with three parts: (1) a conceptual analysis, (2) the claim that the extension of the concept is empty, and (3) a proposed fitting response, namely being very, very sad. Weinberg’s conceptual analysis of ultimate meaning involves two features that jointly make it metaphysically impossible, namely (i) the separateness of activities and valued ends, and (ii) the bounded nature of human lives. Both are open to serious challenges. We offer an internalist alternative (...) to (i) and a relational alternative to (ii). We then draw out implications for (2) and conclude with reasons to be cheerful about the prospects of a meaningful life. (shrink)

There is considerable enthusiasm about the prospect that artificial intelligence (AI) will help to improve the safety and efficacy of health services and the efficiency of health systems. To realize this potential, however, AI systems will have to overcome structural problems in the culture and practice of medicine and the organization of health systems that impact the data from which AI models are built, the environments into which they will be deployed, and the practices and incentives that structure their development. (...) This perspective elaborates on some of these structural challenges and provides recommendations to address potential shortcomings. (shrink)

It is increasingly recognized that knowledge is the norm of assertion. As this view has gained popularity, it has also garnered criticism. One widely discussed criticism involves thought experiments about “selfless assertion.” Selfless assertions are said to be intuitively compelling examples where agents should assert propositions that they don’t even believe and, hence, don’t know. This result is then taken to show that knowledge is not the norm of assertion. This paper reports four experiments demonstrating that “selfless assertors” are viewed (...) as both believing and knowing the propositions they assert: this is the natural and intuitive way of interpreting the case. Thought experiments about selfless assertions do not threaten the knowledge account and they do not motivate weaker alternative accounts. The discussion also highlights a general lesson for philosophers: thought experiments intended to probe for mental state attributions should not conflict with basic principles that guide social cognition. (shrink)

Philosophers ask just whose expression, if anyone’s, we hear in lyric poetry. Walton provides a novel possibility: it’s the reader who “uses” the poem (just as a speech giver uses a speech) who makes the language expressive. But worries arise once we consider poems in particular social or political settings, those which require a strong self-other distinction, or those with expressions that should not be disassociated from the subjects whose experience they draw from. One way to meet this challenge is (...) to consider the poem expressive of a plural subject, which frees us from looking for a particular individual whose voice we hear in the work, whether she be fictional or actual. Some lyrics give voice to a group whose experience is attended to in the work. This may be done through a posited fictional speaker, but the ontology of the speaker is shown to be less important. Attending to a group whose concerns are voiced allows us to explain how poems can manage to address our-worldly concerns even when lacking actual persons whose expressions we encounter in the poems. (shrink)

Many real-world agents recognise that they impose harms by choosing to emit carbon, e.g., by flying. Yet many do so anyway, and then attempt to make things right by offsetting those harms. Such offsetters typically believe that, by offsetting, they change the deontic status of their behaviour, making an otherwise impermissible action permissible. Do they succeed in practice? Some philosophers have argued that they do, since their offsets appear to reverse the adverse effects of their emissions. But we show that (...) they do not. In practice, standard carbon offsetting does not reverse the harms of the original action, nor does it even benefit the same group as was harmed. Standard moral theories hence deny that such offsetting succeeds. Indeed, we show that any moral theory that allows offsetting in this setting faces a dilemma between allowing any wrong to be offset, no matter how grievous, and recognising an implausibly sharp discontinuity between offsettable actions and non-offsettable actions. The most plausible response is to accept that carbon offsetting fails to right our climate wrongs. (shrink)

The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. We show that the argument is seductive only because it mistakes a trivial claim (viz. there are isomorphic models) for a significant claim (viz. there are hole isomorphisms). We prove that the latter claim is false -- thereby closing the debate about whether substantivalism implies indeterminism.

A woman is listening to Sinatra before work. As she later describes it, ‘suddenly from nowhere I could hear my mother singing along to it … I was there again home again, hearing my mother … God knows why I should choose to remember that … then, to actually hear her and I had this image in my head … of being at home … with her singing away … like being transported back you know I got one of those (...) … like shivery feelings really suddenly’ (Anderson 2004, 9-10). An older couple, discussing their honeymoon forty years ago, each say that they can’t remember the show they saw, until through iterative, puzzled cross-cuing they finally get there – ‘Desert Song, that’s it’ (Harris et al 2011, 292). An elderly English veteran of a prisoner of war camp in Japan, finishing up morning tea with a young Japanese social scientist interested in reconciliation, suddenly calls out loudly - in Japanese - ‘stand to attention’. He stands to attention in front of her: like many of the men she interviews, he physically re-enacts fragments of that long-past world of the camp, bringing that absent past into this new present context with a visceral shock (Murakami 2001, 2012; Middleton & Brown 2005, 133-136). (shrink)

Frege’s claim that proper names have senses has come to seem untenable following Kripke’s argument that names are rigid designators. It is commonly thought that if names had senses, their referents would vary with circumstances of evaluation. The article defends Frege’s claim by arguing that names have word-reflexive senses. This analysis of names’ senses does not violate Kripke’s noncircularity condition, and it differs crucially from related views of Bach and Katz. That names have reflexive senses confirms Frege’s own solution to (...) his puzzle about the content of identity sentences, solves Kripke’s Pierre and Peter puzzles about belief ascription, and entails that bearerless names have meanings. Furthermore, names’ having reflexive senses explains why they designate rigidly. (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.

The epistemic closure principle says that knowledge is closed under known entailment. The closure principle is deeply implicated in numerous core debates in contemporary epistemology. Closure’s opponents claim that there are good theoretical reasons to abandon it. Closure’s proponents claim that it is a defining feature of ordinary thought and talk and, thus, abandoning it is radically revisionary. But evidence for these claims about ordinary practice has thus far been anecdotal. In this paper, I report five studies on the status (...) of epistemic closure in ordinary practice. Despite decades of widespread assumptions to the contrary in philosophy, ordinary practice is ambivalent about closure. Ordinary practice does not endorse an unqualified version of the epistemic closure principle, although it might endorse a source-relative version of the principle. In particular, whereas inferential knowledge is not viewed as closed under known entailment, perceptual knowledge might be. (shrink)

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)

Morality seems important, in the sense that there are practical reasons — at least for most of us, most of the time — to be moral. A central theoretical motivation for consequentialism is that it appears clear that there are practical reasons to promote good outcomes, but mysterious why we should care about non-consequentialist moral considerations or how they could be genuine reasons to act. In this paper we argue that this theoretical motivation is mistaken, and that because many arguments (...) for consequentialism rely upon it, the mistake substantially weakens the overall case for consequentialism. We argue that there is indeed a theoretical connection between good states and reasons to act, because good states are those it is fitting to desire and there is a conceptual connection between the fittingness of a motive and reasons to perform the acts it motivates. But while some of our motives are directed at states, others are directed at acts themselves. We contend that just as the fittingness of desires for states generates reasons to promote the good, the fittingness of these act-directed motives generates reasons to do other things. Moreover, we argue that an act’s moral status consists in the fittingness of act-directed feelings of obligation to perform or avoid performing it, so the connection between fitting motives and reasons to act explains reasons to be moral whether or not morality directs us to promote the good. This, we contend, de-mystifies how there could be non-consequentialist reasons that are both moral and practical. (shrink)

Schemes of diagrammatic representation have been so familiarly introduced into logical treatises during the last century or so, that many readers, even of those who have made no professional study of logic, may be supposed to be acquainted with the general nature and object of such devices. Of these schemes one only, viz. that commonly called "Eulerian circles," has met with any general acceptance. A variety of others indeed have been proposed by ingenious and celebrated logicians, several of which would (...) claim notice in a historical treatment of the subject; but they mostly do not seem to me to differ in any essential respect from that of Euler. They rest upon the same leading principle, and are subject all alike to the same restrictions and defects. We must therefore cast about for some new scheme of diagrammatic representation which shall be competent to indicate imperfect knowledge on our part; for this will at once enable us to appeal to it step by step in the process of working out our conclusions. I have never seen any hint at such a scheme, though the want seems so evident that one would suppose that something of the kind must have been proposed before. (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)

Plato is associated with the idea that the body holds us back from knowing ultimate reality and so we should try to distance ourselves from its influence. This sentiment appears is several of his dialogues including Theaetetus where the flight from the physical world is compared to becoming like God. In some major dialogues of Plato's later career such as Philebus and Laws, however, the idea of becoming like God takes a different turn. God is an intelligent force that tries (...) to create order in the physical world. I argue that likeness to God in these dialogues involves imitating God's effort by trying to order our bodies, souls, and societies as intelligence directs. Becoming like Plato's God is not to abandon the world. It is to improve it. (shrink)

In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...) attributions of shortcomings and logical errors to Aristotle are shown to be without merit. Aristotle's logic is found to be self-sufficient in several senses: his theory of deduction is logically sound in every detail. (His indirect deductions have been criticized, but incorrectly on our account.) Aristotle's logic presupposes no other logical concepts, not even those of propositional logic. The Aristotelian system is seen to be complete in the sense that every valid argument expressible in his system admits of a deduction within his deductive system: every semantically valid argument is deducible. (shrink)

Many philosophers have held that it is not possible to experience a spatial object, property, or relation except against the background of an intact awareness of a space that is somehow ‘absolute’. This paper challenges that claim, by analyzing in detail the case of a brain-damaged subject whose visual experiences seem to have violated this condition: spatial objects and properties were present in his visual experience, but space itself was not. I go on to suggest that phenomenological argumentation can give (...) us a kind of evidence about the nature of the mind even if this evidence is not absolutely incorrigible. (shrink)

A preponderance of empirical research in higher education exists on the use of electronic resources to promote university education and learning. This suggests that this area of research has attracted significant interest worldwide. However, there seems to be inadequate information on the association between specific electronic infrastructures, how they are utilized for learning, and their effects on students’ learning effectiveness in higher institutions in Nigeria. This research draws on previous studies and seeks to establish how different electronic resources are used (...) in universities and how they impact students’ learning effectiveness. Using a descriptive survey design, this survey examined 1,452 participants (undergraduates and postgraduates) from Nigerian universities. The data were analyzed using mean and standard deviation, while a Polytomous Logistic Regression Model was used in testing the hypothesis formulated. Findings showed that the degree of the use of digital infrastructures in universities is low. The extent of learning effectiveness among students in universities is also low. The usage of e-infrastructures (such as e-learning, e-communication, and e-library tools) significantly predicted students’ levels of learning effectiveness. Based on these results, conclusions and relevant theoretical and practical implications are discussed for policy reforms in education and e-learning. This study faces a limitation arising from the small number of universities studied. However, it is suggested that future related studies extend their focus beyond the context of Nigeria. (shrink)

Previous work has shown that the Complex Conceptual Spaces − Single Observation Mathematical framework is a useful tool for event characterization. This mathematical framework is developed on the basis of Conceptual Spaces and uses integer linear programming to find the needed similarity values. The work of this paper is focused primarily on space event characterization. In particular, the focus is on the ranking of threats for malicious space events such as a kinetic kill. To make the Conceptual Spaces framework work, (...) the similarity values between the contents of observations on the one hand and the properties of the entities observed on the other needs to be found. This paper shows how to exploit Dempster-Shafer theory to implement a statistical approach for finding these similarities values. This approach will allow a user to identify the uncertainty involved in similarity value data, which can later be propagated through the developed mathematical model in order for the user to know the overall uncertainty in the observation-to-concept mappings needed for space event characterization. (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)

It is one thing for a given proposition to follow or to not follow from a given set of propositions and it is quite another thing for it to be shown either that the given proposition follows or that it does not follow.* Using a formal deduction to show that a conclusion follows and using a countermodel to show that a conclusion does not follow are both traditional practices recognized by Aristotle and used down through the history of logic. These (...) practices presuppose, respectively, a criterion of validity and a criterion of invalidity each of which has been extended and refined by modern logicians: deductions are studied in formal syntax (proof theory) and coun¬termodels are studied in formal semantics (model theory). The purpose of this paper is to compare these two criteria to the corresponding criteria employed in Boole’s first logical work, The Mathematical Analysis of Logic (1847). In particular, this paper presents a detailed study of the relevant metalogical passages and an analysis of Boole’s symbolic derivations. It is well known, of course, that Boole’s logical analysis of compound terms (involving ‘not’, ‘and’, ‘or’, ‘except’, etc.) contributed to the enlargement of the class of propositions and arguments formally treatable in logic. The present study shows, in addition, that Boole made significant contributions to the study of deduc¬tive reasoning. He identified the role of logical axioms (as opposed to inference rules) in formal deductions, he conceived of the idea of an axiomatic deductive sys¬tem (which yields logical truths by itself and which yields consequences when ap¬plied to arbitrary premises). Nevertheless, surprisingly, Boole’s attempt to imple¬ment his idea of an axiomatic deductive system involved striking omissions: Boole does not use his own formal deductions to establish validity. Boole does give symbolic derivations, several of which are vitiated by “Boole’s Solutions Fallacy”: the fallacy of supposing that a solution to an equation is necessarily a logical consequence of the equation. This fallacy seems to have led Boole to confuse equational calculi (i.e., methods for gen-erating solutions) with deduction procedures (i.e., methods for generating consequences). The methodological confusion is closely related to the fact, shown in detail below, that Boole had adopted an unsound criterion of validity. It is also shown that Boole totally ignored the countermodel criterion of invalid¬ity. Careful examination of the text does not reveal with certainty a test for invalidity which was adopted by Boole. However, we have isolated a test that he seems to use in this way and we show that this test is ineffectual in the sense that it does not serve to identify invalid arguments. We go beyond the simple goal stated above. Besides comparing Boole’s earliest criteria of validity and invalidity with those traditionally (and still generally) employed, this paper also investigates the framework and details of THE MATHEMATICAL ANALYSIS OF LOGIC. (shrink)

Spinoza's causal axiom is at the foundation of the Ethics. I motivate, develop and defend a new interpretation that I call the ‘causally restricted interpretation’. This interpretation solves several longstanding puzzles and helps us better understand Spinoza's arguments for some of his most famous doctrines, including his parallelism doctrine and his theory of sense perception. It also undermines a widespread view about the relationship between the three fundamental, undefined notions in Spinoza's metaphysics: causation, conception and inherence.

Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...) Q is one whose existentialization, ∃ x Q, is logically true; otherwise, Q is existential-import-free or simply import-free.How abundant or widespread is existential import? How abundant or widespread are existential-import predicates in themselves or in comparison to import-free predicates? We show that existential-import predicates are quite abundant, and no less so than import-free predicates. Existential.. (shrink)

It is proposed that conscious qualia arise when and only when the 'running' of physical processes takes a special, complex form. Running in general is the unified unfolding of processes through time, and is claimed to be an additional quality of physical processes beyond their state trajectories. The type of running needed for conscious qualia is reflexive in physically affecting and responding to itself. Intuitively, running is essentially the flow of causation, and the self-affecting/responding is a matter of causation bearing (...) a causal relationship to itself: that is, causation can itself be reflexive. The proposal potentially makes temporal qualia the most fundamental qualia, with others derivatively arising. The proposal is neutral about whether a conscious process occurs in a natural organism, in a physically implemented computational system, or in some other physical substrate, as long as the substrate involves the special reflexive runningness. (shrink)

This article argues that the word ψυχαγωγία and its cognates which are found in the writings of Philodemus retain a semantic connection to the domain of magic and are best translated in terms of ‘enchantment’ rather than the more generic sense of ‘entertainment’.

I am going to argue that it is a cost of libertarianism that it holds our status as agents hostage to theoretical physics, but that claim has met with disagreement. Some libertarians regard it as the cost of doing business, not a philosophical liability. By contrast, Peter van Inwagen has addressed the worry head on. He says that if he were to become convinced that causal determinism were true, he would not change his view that humans are free and morally (...) responsible. Rather, he would give up at least one of the formerly-thought-to-be a priori truths that are elements in his argument for the incompatibility of causal determinism and the relevant sort of freedom. Thus, according to van Inwagen, our status as free and morally responsible agents would not be held hostage to the physicists or hang on a thread I think that van Inwagen’s strategy for securing our freedom and responsibility is unattractive. Somewhat tendentiously, I have called the rejection of an a priori ingredient in the incompatibilist’s argument, contingent upon learning that causal determinism is true, ‘metaphysical fip-flopping.’ -/- And it does seem that van Inwagen’s approach is implausible insofar as he is open to such metaphysical fip-fopping. That he is open to it—that he would fip-fop if he became convinced of the truth of causal determinism—is a problem for his actual philosophical position. Or so I will argue. (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)

The “shrinking” of the globe in the last few centuries has made explicit that the world is a tense unity of many: the many worlds are forced to contend with one another. Nishida Kitarō, the founder of the Kyoto school, once stated that to be is to be implaced. We exist by partaking in “the socio-historical world.” More recently, Jean-luc Nancy has conceived of the world in terms of sense. What is striking in both is that the world emerges out (...) of a nothing, created ex nihilo—the phrase stripped of its theistic connotations. While for Nishida the world is ultimately implaced in the “place of absolute nothing,” Nancy speaks of the nothing that is the basis of the world’s self-creation. I will explore a possible convergence between these and any light it may shed upon our contemporary situation of globalization and its implications for praxis. I look to a sense of the nothing as a chōratic spatiality, an opening that provides space for co-being and serves as the source of creativity. In face of globalization, the project for meaning through mondialisation (in Nancy) and within a multi-cultural world (in Nishida) would imply the appropriation of such an originary spatiality. (shrink)

Scholars of ideology in social-scientific disciplines, including psychology, sociology, and political science, stand to benefit from taking seriously the philosophical contributions of Professor Peter Railton. This is because Railton provides much-needed conceptual precision—and a rare sense of epistemological and moral clarity—to a topic that is notoriously slippery and prone to relativistic musing and the drawing of false equivalences. In an essay entitled “Morality, Ideology, and Reflection: Or, the Duck Sits Yet,” Railton (2000/2003) aptly identified the purpose of ideological analysis as (...) the unmasking of “nonepistemic” interests—that is, interests other than truth-seeking, accuracy, or warrant —that contribute to the development, adoption, and dissemination of political and religious belief systems. (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)