I argue that there is methodological space for a functional explanation of the nature of law that does not commit the theorist to a view about the value of that function for society, nor whether law is the best means of accomplishing it. A functional explanation will nonetheless provide a conceptual framework for a better understanding of the nature of law. First I examine the proper role for function in a theory of law and then argue for the possibility of (...) a neutral functional theory, addressing issues raised by Leslie Green, Stephen Perry, Michael Moore and John Finnis. (shrink)

I argue that law is best understood as an institutionalized abstract artifact. Using the ideas of John Searle on institutions and Amie Thomasson on artifacts, I show how the law is capable of generating new reasons for action, arguing against recent work by David Enoch who holds that legal reason-giving is ultimately a form of triggering conditional reasons.

Some have argued for a division of epistemic labor in which mathematicians supply truths and philosophers supply their necessity. We argue that this is wrong: mathematics is committed to its own necessity. Counterfactuals play a starring role.

ABSTRACT Drawing inspiration from Fred Dretske, L. S. Carrier, John A. Barker, and Robert Nozick, we develop a tracking analysis of knowing according to which a true belief constitutes knowledge if and only if it is based on reasons that are sensitive to the fact that makes it true, that is, reasons that wouldn’t obtain if the belief weren’t true. We show that our sensitivity analysis handles numerous Gettier-type cases and lottery problems, blocks pathways leading to skepticism, and validates (...) the epistemic closure thesis that correct inferences from known premises yield knowledge of the conclusions. We discuss the plausible views of Ted Warfield and Branden Fitelson regarding cases of knowledge acquired via inference from false premises, and we show how our sensitivity analysis can account for such cases. We present arguments designed to discredit putative counterexamples to sensitivity analyses recently proffered by Tristan Haze, John Williams and Neil Sinhababu, which involve true statements made by untrustworthy informants and strange clocks that sometimes display the correct time while running backwards. Finally, we show that in virtue of employing the paradox-free subjunctive conditionals codified by Relevance Logic theorists instead of the paradox-laden subjunctive conditionals codified by Robert Stalnaker and David Lewis. (shrink)

Some central epistemological notions are expressed by sentential operators O that entail the possibility of knowledge in the sense that 'Op' entails 'It is possible to know that p'. We call these modal-epistemological notions. Using apriority and being in a position to know as case studies, we argue that the logics of modal epistemological notions are extremely weak. In particular, their logics are not normal and do not include any closure principles.

Judging by our folk appraisals, then, knowledge and action are intimately related. The theories of rational action with which we are familiar leave this unexplained. Moreover, discussions of knowledge are frequently silent about this connection. This is a shame, since if there is such a connection it would seem to constitute one of the most fundamental roles for knowledge. Our purpose in this paper is to rectify this lacuna, by exploring ways in which knowing something is related to rationally acting (...) upon it, defending one particular proposal against anticipated objections. (shrink)

This paper provides a principled and elegant solution to the Gettier problem. The key move is to draw a general metaphysical distinction and conscript it for epistemological purposes. Section 1 introduces the Gettier problem. Sections 2–5 discuss instructively wrong or incomplete previous proposals. Section 6 presents my solution and explains its virtues. Section 7 answers the most common objection.

Many philosophers favour the simple knowledge account of assertion, which says you may assert something only if you know it. The simple account is true but importantly incomplete. I defend a more informative thesis, namely, that you may assert something only if your assertion expresses knowledge. I call this 'the express knowledge account of assertion', which I argue better handles a wider range of cases while at the same time explaining the simple knowledge account's appeal. §1 introduces some new data (...) that a knowledge account of assertion well explains. §2 explains the simple knowledge account's advantage over two of its main competitors. §3 presents a problem for the simple account and offers a solution, which is to adopt the express knowledge account. §4 encapsulates the case for the express knowledge account, and offers a unifying vision for the epistemology of belief and assertion. §5 answers an objection. §6 briefly sums up. Even those who ultimately reject my conclusion can still benefit from the new data presented in §1, and learn an important lesson from the problem discussed in §3, which demonstrates a general constraint on an acceptable account of the norm of assertion. (shrink)

Is knowledge justified true belief? Most philosophers believe that the answer is clearly ‘no’, as demonstrated by Gettier cases. But Gettier cases don’t obviously refute the traditional view that knowledge is justified true belief (JTB). There are ways of resisting Gettier cases, at least one of which is partly successful. Nevertheless, when properly understood, Gettier cases point to a flaw in JTB, though it takes some work to appreciate just what it is. The nature of the flaw helps us better (...) understand the nature of knowledge and epistemic justification. I propose a crucial improvement to the traditional view, relying on an intuitive and independently plausible metaphysical distinction pertaining to the manifestation of intellectual powers, which supplements the traditional components of justification, truth and belief. (shrink)

Professional philosophers say it’s obvious that a Gettier subject does not know. But experimental philosophers and psychologists have argued that laypeople and non-Westerners view Gettier subjects very differently, based on experiments where laypeople tend to ascribe knowledge to Gettier subjects. I argue that when effectively probed, laypeople and non-Westerners unambiguously agree that Gettier subjects do not know.

Assertion is fundamental to our lives as social and cognitive beings. Philosophers have recently built an impressive case that the norm of assertion is factive. That is, you should make an assertion only if it is true. Thus far the case for a factive norm of assertion been based on observational data. This paper adds experimental evidence in favor of a factive norm from six studies. In these studies, an assertion’s truth value dramatically affects whether people think it should be (...) made. Whereas nearly everyone agreed that a true assertion supported by good evidence should be made, most people judged that a false assertion supported by good evidence should not be made. The studies also suggest that people are consciously aware of criteria that guide their evaluation of assertions. Evidence is also presented that some intuitive support for a non-factive norm of assertion comes from a surprising tendency people have to misdescribe cases of blameless rule-breaking as cases where no rule is broken. (shrink)

Under what conditions are two utterances utterances of the same word? What are words? That these questions have not received much attention is rather surprising: after all, philosophers and linguists frequently appeal to considerations about word and sentence identity in connection with a variety of puzzles and problems that are foundational to the very subject matter of philosophy of language and linguistics.1 Kaplan’s attention to words is thus to be applauded. And there is no doubt that his discussion contains many (...) useful insights. Nevertheless, we find his picture deeply flawed for a variety of crosscutting reasons. Our aim in this paper is to further advance an understanding of the nature of words, both by remedying the problems with Kaplan’s account, and also by achieving a suitable perspective on what the metaphysical investigation of word identity can hope to achieve. Our discussion divides into four parts. In Part One, we examine and critique Kaplan’s discussion of a contrast integral to his own account: that between the type-token and the stage-continuant conceptions of words. In Part Two, we present three constraints on any account of words and two further themes in Kaplan’s discussion central to his conception of words – the role of repetition and the constitutive authority of intentions. While these ideas have laudable motivations, we argue they are far from the best way of making good on the insights that drive them. The final two sections take a skeptical turn. In Part Three, we express doubt about Kaplan’s presumption of the importance of what he calls ‘common currency names’, thus raising a suspicion that he may be in pursuit of chimera. Finally, in Part Four, we express pessimism about whether interesting answers to question above will be forthcoming, and suggest that the legitimacy of our word ontology need not depend on the availability of such answers. Along the way, we tease apart a number of metaphysical questions in the vicinity of the topic of word individuation – questions that are often not disentangled – and consider how the discussion of the previous parts bears on them.. (shrink)

One fairly common view about practical reason has it that whether you have a reason to act is not determined by what you know, or believe, or are justified in believing. Your reasons are determined by the facts. Perhaps there are two kinds of reasons, and however it goes with motivating reasons, normative reasons are determined by the facts, not your take on the facts. One fairly common version of this view has it that what's reasonable for you to do (...) is determined by what you know or believe. Any view that drives this kind of wedge between reasons and rationality is inherently unstable. I argue against this view, criticize the arguments typically presented in its favor, and sketch an alternative. (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.

The primary aim of this chapter is to show that several missteps made by others in in their thinking about law as an artefact are due to misconceptions about the role of intentions in understanding law as an artefact. I first briefly recap my own contention that law is a genre of institutionalized abstract artefacts (put forth in The Functions of Law (OUP 2016) and subsequent papers), mostly following Searle’s understanding of institutions and Thomasson’s understanding of public artefacts. I highlight (...) the central place that this theory affords law’s functions, without requiring the theorist to say that possession or performance of the function is either necessary or sufficient for inclusion in the class of law. Some of the most common misunderstandings are exemplified in Brian Leiter’s paper ‘Legal Positivism about the Artifact Law’. He thinks that holding an intentionalist view of artefacts commits the theorist to privileging drafters’ intentions when interpreting law. (It doesn’t.) He also has confusions about the differences between artefact tokens and artefact types leading him to a problematically broad understanding of artefacts. Another problem can be seen in thinking that functional understandings of artefacts are vulnerable to the same problems that arise in functional explanations for biological systems. I go on to consider the work of Luka Burazin and Corrado Roversi, addressing worries that making intentionality central to artefacts implies too much conscious thought is required to make one, noting that several theories of intentionality do not require conscious thought in the execution of intentional action. While those who think a central place for intentionality threatens to leave us unable to explain customary law, this can be dealt with by noting the important distinction between customary rules and customary laws (where the latter requires a decision to enlist public aid in redressing violations). I claim that authors’ intentions are communicated requests for the artefacts’ audiences to see the artefacts as members of their putative kinds. Finally, I address the question of whether or not legal systems are themselves artefacts and institutions, given that they may or may not have been intentionally created. An early lawgiver might have created a legal system by accident in the process of handing down the first laws. I raise the possibility that we might want to impute intentionality to necessary by-products of artefact creation, seeing those by-products as artefacts as well. (shrink)

We conducted five experiments that reveal some main contours of the folk epistemology of lotteries. The folk tend to think that you don't know that your lottery ticket lost, based on the long odds ("statistical cases"); by contrast, the folk tend to think that you do know that your lottery ticket lost, based on a news report ("testimonial cases"). We evaluate three previous explanations for why people deny knowledge in statistical cases: the justification account, the chance account, and the statistical (...) account. None of them seems to work. We then propose a new explanation of our own, the formulaic account, according to which some people deny knowledge in statistical cases due to formulaic expression. (shrink)

This paper presents a puzzle about justification and withholding. The puzzle arises in a special case where experts advise us to not withhold judgment. My main thesis is simply that the puzzle is genuinely a puzzle, and so leads us to rethink some common assumptions in epistemology, specifically assumptions about the nature of justification and doxastic attitudes. Section 1 introduces the common assumptions. Section 2 presents the puzzle case. Section 3 assesses the puzzle case. Section 4 explains the choice we're (...) faced with. Sections 5 and 6 consider and reject some proposed solutions, and in the process refine and clarify the choice we're faced with. Section 7 considers and rejects a miscellany of different proposed solutions. (shrink)

This article accomplishes two closely connected things. First, it refutes an influential view about the relationship between perception and knowledge. In particular, it demonstrates that perceiving does not entail knowing. Second, it leverages that refutation to demonstrate that knowledge is not the most general factive propositional attitude.

There is a virtual consensus in contemporary epistemology that knowledge must be reliably produced. Everyone, it seems, is a reliabilist about knowledge in that sense. I present and defend two arguments that unreliable knowledge is possible. My first argument proceeds from an observation about the nature of achievements, namely, that achievements can proceed from unreliable abilities. My second argument proceeds from an observation about the epistemic efficacy of explanatory inference, namely, that inference to the best explanation seems to produce knowledge, (...) even if it isn't reliable. I also propose a successor to standard versions of reliabilism, which I call ‘ecumenical reliabilism’. Ecumenical reliabilism is consistent with unreliably produced knowledge and helps explain why unreliably produced knowledge is possible. (shrink)

According to the Self-Location Thesis, one’s own location can be among the things that visual experience represents, even when one’s body is entirely out of view. By contrast, the Minimal View denies this, and says that visual experience represents things only as "to the right", etc., and never as "to the right of me". But the Minimal View is phenomenologically inadequate: it cannot explain the difference between a visual experience of self-motion and one of an oppositely moving world. To show (...) this, I argue (i) that these experiences are different in an important respect, (ii) that this difference is genuinely experiential, (iii) that it is visual, (iv) that it is not purely phenomenal, and (v) that it cannot be identified with anything other than the apparent motion of the self. So the Self-Location Thesis is upheld: reports of one’s own motion can correspond to aspects of visual experiences every bit as basic to their contents as the apparent motion or rest of the things one has in view. (shrink)

We think we have lots of substantial knowledge about the future. But contemporary wisdom has it that indeterminism prevails in such a way that just about any proposition about the future has a non-zero objective chance of being false.2, 3 What should one do about this? One, pessimistic, reaction is scepticism about knowledge of the future. We think this should be something of a last resort, especially since this scepticism is likely to infect alleged knowledge of the present and past. (...) One anti-sceptical strategy is to pin our hopes on determinism, conceding that knowledge of the future is unavailable in an indeterministic world. This is not satisfying either: we would rather not be hostage to empirical fortune in the way that this strategy recommends. A final strategy, one that we shall explore in this paper, is one of reconciliation: knowledge of a proposition is compatible with a subject’s belief having a non-zero objective chance of error.4 Following Williamson, we are interested in tying knowledge to the presence or absence of error in close cases, and so we shall explore the connections between knowledge and objective chance within such a framework. We don’t want to get tangled up here in complications involved in attempting to formulate a necessary and sufficient condition for knowledge in terms of safety. Instead, we will assume the following rough and ready necessary condition: a subject knows P only if she could not easily have falsely believed P.5 Assuming that easiness is to be spelt.. (shrink)

This paper critically evaluates the regress argument for infinitism. The dialectic is essentially this. Peter Klein argues that only an infinitist can, without being dogmatic, enhance the credibility of a questioned non-evident proposition. In response, I demonstrate that a foundationalist can do this equally well. Furthermore, I explain how foundationalism can provide for infinite chains of justification. I conclude that the regress argument for infinitism should not convince us.

Argumentations are at the heart of the deductive and the hypothetico-deductive methods, which are involved in attempts to reduce currently open problems to problems already solved. These two methods span the entire spectrum of problem-oriented reasoning from the simplest and most practical to the most complex and most theoretical, thereby uniting all objective thought whether ancient or contemporary, whether humanistic or scientific, whether normative or descriptive, whether concrete or abstract. Analysis, synthesis, evaluation, and function of argumentations are described. Perennial philosophic (...) problems, epistemic and ontic, related to argumentations are put in perspective. So much of what has been regarded as logic is seen to be involved in the study of argumentations that logic may be usefully defined as the systematic study of argumentations, which is virtually identical to the quest of objective understanding of objectivity. (shrink)

Intuitively, the knowledge of one’s own intentional actions is different from the knowledge of actions of other sorts, including those of other people and unintentional actions of one's own. But how are we to understand this phenomenon? Does it pertain to all actions, under every description under which they are known? If so, then how is this possible? If not, then how should we think about cases that are exceptions to this principle? This paper is a critical survey of recent (...) attempts to answer these questions. I consider views under three headings: "special source" views, which hold that the knowledge of one's intentional actions has a non-perceptual source; "special domain" views, which hold that some but not all aspects of one's intentional actions are known in a special way; and "special character" views, which hold that the knowledge of intentional actions is special not because of where it comes from, but because of some other respect in which it is different in kind from the knowledge of other things. (shrink)

After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...) involving the distinction between characterizing a system and axiomatizing the truths of a system. (shrink)

In order to determine whether current (or future) machines have a welfare that we as agents ought to take into account in our moral deliberations, we must determine which capacities give rise to interests and whether current machines have those capacities. After developing an account of moral patiency, I argue that current machines should be treated as mere machines. That is, current machines should be treated as if they lack those capacities that would give rise to psychological interests. Therefore, they (...) are moral patients only if they have non-psychological interests. I then provide an account of what I call teleo interests that constitute the most plausible type of non-psychological interest that a being might have. I then argue that even if current machines have teleo interests, they are such that agents need not concern themselves with these interests. Therefore, for all intents and purposes, current machines are not moral patients. (shrink)

This chapter provides an explanation of precedent as a kind of artefact, in keeping with broader accounts of law that do so, specifically the author’s account of law as a genre of institutionalized abstract artefact. The chapter develops its explanation by responding to an argument by Dan Priel against seeing the common law as an artefact when understood to be a form of custom. The chapter shows that customs can themselves be artefacts but also that the precedential elements of common (...) law are not necessarily quite as customary as sometimes considered, showing that the common law built from precedents fits within a distributed design model of artefacts and that stare decisis has a wider systemic function of upholding certain rule of law principles. It ends with some considerations about the institutional nature of precedents, specifically that judicial decisions are most often both applications and developments of legal norms, but also determinations of legal validity. (shrink)

Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss (...) many other historically and philosophically important aspects of Boole’s book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole’s contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology. (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)

Since the time of Aristotle's students, interpreters have considered Prior Analytics to be a treatise about deductive reasoning, more generally, about methods of determining the validity and invalidity of premise-conclusion arguments. People studied Prior Analytics in order to learn more about deductive reasoning and to improve their own reasoning skills. These interpreters understood Aristotle to be focusing on two epistemic processes: first, the process of establishing knowledge that a conclusion follows necessarily from a set of premises (that is, on the (...) epistemic process of extracting information implicit in explicitly given information) and, second, the process of establishing knowledge that a conclusion does not follow. Despite the overwhelming tendency to interpret the syllogistic as formal epistemology, it was not until the early 1970s that it occurred to anyone to think that Aristotle may have developed a theory of deductive reasoning with a well worked-out system of deductions comparable in rigor and precision with systems such as propositional logic or equational logic familiar from mathematical logic. When modern logicians in the 1920s and 1930s first turned their attention to the problem of understanding Aristotle's contribution to logic in modern terms, they were guided both by the Frege-Russell conception of logic as formal ontology and at the same time by a desire to protect Aristotle from possible charges of psychologism. They thought they saw Aristotle applying the informal axiomatic method to formal ontology, not as making the first steps into formal epistemology. They did not notice Aristotle's description of deductive reasoning. Ironically, the formal axiomatic method (in which one explicitly presents not merely the substantive axioms but also the deductive processes used to derive theorems from the axioms) is incipient in Aristotle's presentation. Partly in opposition to the axiomatic, ontically-oriented approach to Aristotle's logic and partly as a result of attempting to increase the degree of fit between interpretation and text, logicians in the 1970s working independently came to remarkably similar conclusions to the effect that Aristotle indeed had produced the first system of formal deductions. They concluded that Aristotle had analyzed the process of deduction and that his achievement included a semantically complete system of natural deductions including both direct and indirect deductions. Where the interpretations of the 1920s and 1930s attribute to Aristotle a system of propositions organized deductively, the interpretations of the 1970s attribute to Aristotle a system of deductions, or extended deductive discourses, organized epistemically. The logicians of the 1920s and 1930s take Aristotle to be deducing laws of logic from axiomatic origins; the logicians of the 1970s take Aristotle to be describing the process of deduction and in particular to be describing deductions themselves, both those deductions that are proofs based on axiomatic premises and those deductions that, though deductively cogent, do not establish the truth of the conclusion but only that the conclusion is implied by the premise-set. Thus, two very different and opposed interpretations had emerged, interestingly both products of modern logicians equipped with the theoretical apparatus of mathematical logic. The issue at stake between these two interpretations is the historical question of Aristotle's place in the history of logic and of his orientation in philosophy of logic. This paper affirms Aristotle's place as the founder of logic taken as formal epistemology, including the study of deductive reasoning. A by-product of this study of Aristotle's accomplishments in logic is a clarification of a distinction implicit in discourses among logicians--that between logic as formal ontology and logic as formal epistemology. (shrink)

The Consequence Argument has elicited various responses, ranging from acceptance as obviously right to rejection as obviously problematic in one way or another. Here we wish to focus on one specific response, according to which the Consequence Argument begs the question. This is a serious accusation that has not yet been adequately rebutted, and we aim to remedy that in what follows. We begin by giving a formulation of the Consequence Argument. We also offer some tentative proposals about the nature (...) of begging the question. Although the charge of begging the question is frequently made in philosophy, it is surprisingly difficult to pin down the precise nature of this dialectical infelicity (or family of such infelicities). Thus we offer some new proposals about the nature of begging the question with an eye to understanding what is going on in central cases in which the charge is legitimately made. We then defend the Consequence Argument against the charge that it begs the question, so construed. We contend that, whatever the other liabilities of the argument may be, it does not beg the question against the compatibilist. (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)

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)

Robust technological enhancement of core cognitive capacities is now a realistic possibility. From the perspective of neutralism, the view that justifications for public policy should be neutral between reasonable conceptions of the good, only members of a subset of the ethical concerns serve as legitimate justifications for public policy regarding robust technological enhancement. This paper provides a framework for the legitimate use of ethical concerns in justifying public policy decisions regarding these enhancement technologies by evaluating the ethical concerns that arise (...) in the context of testing such technologies on nonhuman animals. Traditional issues in bioethics, as well as novel concerns such as the possibility of moral status enhancement, are evaluated from the perspective of neutralism. (shrink)

The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...) Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink)

Traditionally it has been thought that the moral valence of a proposition is, strictly speaking, irrelevant to whether someone knows that the proposition is true, and thus irrelevant to the truth-value of a knowledge ascription. On this view, it’s no easier to know, for example, that a bad thing will happen than that a good thing will happen (other things being equal). But a series of very surprising recent experiments suggest that this is actually not how we view knowledge. On (...) the contrary, people are much more willing to ascribe knowledge of a bad outcome. This is known as the epistemic side-effect effect (ESEE), and is a specific instance of a widely documented phenomenon, the side-effect effect (a.k.a. “the Knobe effect”), which is the most famous finding in experimental philosophy. In this paper, I report a new series of five experiments on ESEE, and in the process accomplish three things. First, I confirm earlier findings on the effect. Second, I show that the effect is virtually unlimited. Third, I introduce a new technique for detecting the effect, which potentially enhances its theoretical significance. In particular, my findings make it more likely that the effect genuinely reflects the way we think about and ascribe knowledge, rather than being the result of a performance error. (shrink)

As a topic in the philosophy of psychology, dreaming is a fascinating, diverse, and severely underdeveloped area of study. The topic excites intense public interest in its own right, while also challenging our confidence that we know what the words “conscious” and “consciousness” mean. So dreaming should be at the forefront of our interdisciplinary investigations: theories of mind which fail to address the topic are incomplete. This chapter illustrates the tight links between conceptual and empirical issues by highlighting surprisingly deep (...) disagreements among leading dream scientists over what might seem basic aspects of their topic. (shrink)

The vision of natural kinds that is most common in the modern philosophy of biology, particularly with respect to the question whether species and other taxa are natural kinds, is based on a revision of the notion by Mill in A System of Logic. However, there was another conception that Whewell had previously captured well, which taxonomists have always employed, of kinds as being types that need not have necessary and sufficient characters and properties, or essences. These competing views employ (...) different approaches to scientific methodologies: Mill’s class-kinds are not formed by induction but by deduction, while Whewell’s type-kinds are inductive. More recently, phylogenetic kinds (clades, or monophyletic-kinds) are inductively projectible, and escape Mill’s strictures. Mill’s version represents a shift in the notions of kinds from the biological to the physical sciences. (shrink)

The essay is framed by conflict between Christianity and Darwinian science over the history of the world and the nature of human personhood. Evolutionary science narrates a long prehuman geological and biological history filled with vast amounts, kinds, and distributions of apparently random brutal and pointless suffering. It also strongly suggests that the first modern humans were morally primitive. This science seems to discredit Christianity's common meta-narrative of the Fall, understood as a story of Paradise Lost. The author contends that (...) this Augustinian story and its character of Adam as endowed with superhuman gifts, and yet as so fragile as to fall, as claimed, is implausible, at any rate, even apart from science. He proposes that Christians consider adopting a Supralapsarian metaphysics of divine purpose supported by the intuitions of Irenaeus, who depicted the first human beings as comparable to innocent, but morally undeveloped children. In this approach the existence of evils is part of the divine plan to "defeat" them in and through the Incarnation, Atonement, and Resurrection of Christ. Putting an "Irenaean Adam" in place of the "Augustinian" counterpart may not remove conflict with science completely, but at least reduces it, and leads to a Christian narrative that is more plausible, in the light of science. (shrink)

According to anti-atomism, we represent color properties (e.g., red) in virtue of representing color relations (e.g., redder than). I motivate anti-atomism with a puzzle involving a series of pairwise indistinguishable chips. I then develop two versions of anti-atomism.

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)

While there are numerous differences between the approaches taken by Maurice Merleau-Ponty and James J. Gibson, the basic motivation of the two thinkers, as well as the internal logic of their respective views, is extraordinarily close. Both were guided throughout their lives by an attempt to overcome the dualism of subject and object, and both devoted considerable attention to their "Gestaltist" predecessors. There can be no doubt but that it is largely because of this common cause that the subsequent development (...) of their ideas is so similar. It is not my objective in what follows merely to demonstrate a similarity between two lines of thought. Instead, I will try to show that each approach gains considerably from attention to the other. There are numerous ways to begin such a project, each about as arbitrary as the next. For present purposes, I shall take as of central importance the question of the character of the perceived world, both in relation to the traditionally opposed mental and material "substances", and in relation to its identification and individuation of things vis a vis one another and vis a vis ourselves. This will implicate especially Gibson's "affordances" and Merleau-Ponty's thesis concerning the "materiality of meaning.". (shrink)

I evaluate two new objections to an infinitist account of epistemic justification, and conclude that they fail to raise any new problems for infinitism. The new objections are a refined version of the finite-mind objection, which says infinitism demands more than finite minds can muster, and the normativity objection, which says infinitism entails that we are epistemically blameless in holding all our beliefs. I show how resources deployed in response to the most popular objection to infinitism, the original finite-mind objection, (...) can be redeployed to address the two new objections. (shrink)

A philosophical analysis of different kinds of memory used in the film Memento.

In this paper I discuss critically Richard Swinburne’s concept of God, which I find to be incoherent, and his understanding of Christianity, which I find to be based on a precritical use of the New Testament.

I will develop a new problem for almost all realist theories of colour. The problem involves fluctuations in our colour experiences that are due to visual noise rather than changes in the objects we are looking at.

Conception and causation are fundamental notions in Spinoza's metaphysics. I argue against the orthodox view that, due to the causal axiom, if one thing is conceived through another thing, then the second thing causes the first thing. My conclusion forces us to rethink Spinoza's entitlement to some of his core commitments, including the principle of sufficient reason, the parallelism doctrine and the conatus doctrine.

In discussions of practical reason we often encounter the view that a fact is a reason for an agent to act only if the fact is capable of moving the agent to act. This view figures centrally in many philosophical controversies, and while taken for granted by some, it is vigorously disputed by others. In this essay I show that if the disputed position is correctly interpreted, it is well armored against stock objections and implied by a premise that is (...) not only plausible, but generally accepted by the position's critics. (shrink)

The idea that education should equip people to lead flourishing lives and help others to do so is now becoming salient in policy-making circles. Philosophy of education can help here by clarifying what flourishing consists in. This essay examines one aspect of this. It rejects the view that well-being goods are derivable from human nature, as in the theories of Howard Gardner and Edmond Holmes. It locates them, rather, as cultural products, but not culturally-relative ones, drawing attention to the proliferating (...) forms they have taken over the past three or four centuries. It looks to aesthetics and art criticism as a guide to a philosophical treatment of well-being goods more generally. It also takes off from aesthetics and art criticism in seeking to identify reliable authorities on the flourishing life. On this, it rejects elitist conceptions in favour of a more democratic model, emphasising its importance in education for citizenship. (shrink)