This thesis explores possibilities that arise from regarding theodicy as the activity of descriptive understanding of Christian belief and practice as found in the classical theistic framework. First, any theodicy as an activity is analysed in terms of the role of philosophy, the place of epistemology, the basis of theology, and the taking of an apologetic stance. It is then argued that traditional approaches to theodicy suffer from methodological weaknesses which derive from formulating theodicy in terms of unbelief, and from (...) strictly theoretical analysis. The superiority of philosophical description is argued as better suited to understanding religious belief as held in the community of believers, with especial reference to relationships that hold between language and reality. A critical exploration follows of the approach to theodicy of a proponent of philosophical description, D.Z. Phillips, and consideration is given to the status of evaluations made by believers. In the light of this critique, two attempts are made to describe the shape of Christian theodicy using the interperson model of theological language. The first attempt, based on a description of actual interpersonal relationships, is found eventually to be open to serious objections. A second attempt is then made, based not only on interpersonal language, but using a distinction between "surface" and "depth" in religious language, and by arguing for the presence of an epistemological "direction" in religious belief. On this basis, a Theodicy of Dependence is developed as best describing the shape of Christian belief held in a world which is frequently hostile. (shrink)

Many contributors of the debate about knowledge by testimony concentrate on the problem of justification. In my paper I will stress a different point – the concept of testimony itself. As a starting point I will use the definitional proposal of Jennifer Lackey. She holds that the concept of testimony should be regarded as entailing two aspects – one corresponding to the speaker, the other one to the hearer. I will adopt the assumption that we need to deal with both (...) aspects. Nevertheless, I will show that her concept – which suggests regarding testimony as an act of communication conveying information – is too broad and, therefore, I will end up with a different twofold definition. (shrink)

Philosophy strives to give us a firmer hold on our concepts. But what about their hold on us? Why place ourselves under the sway of a concept and grant it the authority to shape our thought and conduct? Another conceptualization would carry different implications. What makes one way of thinking better than another? This book develops a framework for concept appraisal. Its guiding idea is that to question the authority of concepts is to ask for reasons of a special kind: (...) reasons for concept use, which tell us which concepts to adopt, adhere to, or abandon, thereby shoring up—or undercutting—the reasons for action and belief that guide our deliberations. Traditionally, reasons for concept use have been sought either in timeless rational foundations or in concepts’ inherent virtues, such as precision and consistency. Against this, the book advances two main claims: that we find reasons for concept use in the conceptual needs we discover when we critically distance ourselves from a concept by viewing it from the autoethnographic stance; and that sometimes, concepts that conflict, or exhibit other vices such as vagueness or superficiality, are just what we need. By considering not what concepts are absolutely best, but what concepts we now need, we can reconcile ourselves to the contingency of our concepts, determine the proper place of efforts to tidy up thought, and adjudicate between competing conceptions of things—even things as contested as liberty or free will. A needs-based approach separates helpful clarification from hobbling tidy-mindedness, and authoritative definition from conceptual gerrymandering. (shrink)

Conceptual engineering is a philosophical method that aims to design and spread conceptual and linguistic devices to cause meaningful changes in the world. So far, however, conceptual engineers have struggled to successfully spread the conceptual and linguistic entities they have designed to their target communities. This paper argues that conceptual engineering is far more likely to succeed if it incorporates empirical data and empirical methods. Because the causal factors influencing successful propagation of linguistic or conceptual devices are as complicated and (...) interwoven as they are, proper empirical research will greatly boost the likelihood that propagation is successful. In arguing for the superiority of empirical conceptual engineering over armchair-based conceptual engineering, this paper proposes a framework for understanding the causal forces at play in propagation. This is a three-part framework between the label of a lexical item, the psychological states associated with the lexical item, and the worldly things associated with the lexical item. By understanding the way causal forces affecting propagation play out at these three levels, conceptual engineers can better conceptualize, study, and harness the different causal forces affecting the success of their conceptual engineering projects. (shrink)

Within the philosophy of language, contextualists typically hold (and semantic minimalists deny) that pragmatic elements of an utterance can affect its semantic content. This paper concretizes this debate by analogizing both positions to different kinds of time-travel stories: contextualism is akin to Ludovician narratives that deny the possibility of temporal editing (or “the changing of past events”) while semantic minimalism is aligned with stories that allow the past to be literally altered. By focusing particularly on Denis Villeneuve’s 2016 film Arrival, (...) which portrays a Ludovician model of temporality that firmly denies the possibility of temporal editing, this paper defends the strength of the contextualist position. (shrink)

If ethical reflection on which concepts to use has an avatar, it must be Nietzsche, who took more seriously than most the question of what concepts one should live by, and regarded many of our inherited concepts as deeply problematic. Moreover, his eschewal of traditional attempts to derive the one right set of concepts from timeless rational foundations renders his conceptual ethics strikingly modern, raising the prospect of a Nietzschean alternative to Wittgensteinian non-foundationalism. Yet Nietzsche appears to engage in two (...) seemingly contrary modes of concept evaluation: one looks to concepts’ effects, the other to what concepts express. I offer an account of the expressive character of concepts which unifies these two modes and accounts for Nietzsche’s seemingly bifurcating interests. His fundamental concern is with the effects concepts are likely to have going forward, and it is precisely this concern that motivates his preoccupation with what concepts express. He evaluates concepts by asking for whom they have a point, working back from a concept via the need it fills to the conditions that engender that need and thereby render the concept pointful. For a concept to be pointful is for it to serve the concerns of its users through its effects. But even when it is not pointful, a concept expresses the presuppositions of its pointfulness, which we can work back to by asking who would have need of such a concept. What emerges is a powerful approach to conceptual ethics that looks beyond the formal virtues and vices of concepts at the presuppositions we buy into by using them. (shrink)

Logic is about reasoning, or so the story goes. This thesis looks at the concept of logic, what it is, and what claims of correctness of logics amount to. The concept of logic is not a settled matter, and has not been throughout the history of it as a notion. Tools from conceptual analysis aid in this historical venture. Once the unsettledness of logic is established we see the repercussions in current debates in the philosophy of logic. Much of the (...) battle over the ‘one true logic’ is conceptually talking past each other. The theory of logics-as-formalizations is presented as a conceptually open theory of logic which is Carnapian in flavour and grounding. Rudolf Carnap’s notions surrounding ‘external’ and ‘pseudo-questions’ about linguistic frameworks apply to formalizations, thus logics, as well. An account of what formalizations are, a more structured sub-set of modelling, is given to ground the claim that logics are formalizations. Finally, a novel account of correctness, the COFE framework, is developed which allows the notions of logical monism, pluralism and nihilism to be more precisely formulated than they currently are in the discourse. (shrink)

In this paper, we present a dialectical argument for a priori skepticism (i.e. the thesis that we can be skeptical about a priori knowledge). Then, we propose a framework that combines elements from inferential contextualism and logical conventionalism to offer a weak transcendental argument against a priori skepticism.

Ben-Yami presents Wittgenstein’s explicit criticism of the Platonic identification of an explanation with a definition and the alternative forms of explanation he employed. He then discusses a few predecessors of Wittgenstein’s criticisms and the Fregean background against which he wrote. Next, the idea of family resemblance is introduced, and objections answered. Wittgenstein’s endorsement of vagueness and the indeterminacy of sense are presented, as well as the open texture of concepts. Common misunderstandings are addressed along the way. Wittgenstein’s ideas, as is (...) then shown, have far-reaching implications for knowledge of meaning and the nature of logic, and with them to the nature of the philosophical project and its possible achievements. (shrink)

Many in philosophy understand truth in terms of precise semantic values, true propositions. Following Braun and Sider, I say that in this sense almost nothing we say is, literally, true. I take the stand that this account of truth nonetheless constitutes a vitally useful idealization in understanding many features of the structure of language. The Fregean problem discussed by Braun and Sider concerns issues about application of language to the world. In understanding these issues I propose an alternative modeling tool (...) summarized in the idea that inaccuracy of statements can be accommodated by their imprecision. This yields a pragmatist account of truth, but one not subject to the usual counterexamples. The account can also be viewed as an elaborated error theory. The paper addresses some prima facie objections and concludes with implications for how we address certain problems in philosophy. (shrink)

An e-book devoted to 13 critical discussions of Thaddeus Metz's book "Meaning in Life: An Analytic Study", with a lengthy reply from the author. -/- Preface Masahiro Morioka i -/- Précis of Meaning in Life: An Analytic Study Thaddeus Metz ii-vi -/- Source and Bearer: Metz on the Pure Part-Life View of Meaning Hasko von Kriegstein 1-18 -/- Fundamentality and Extradimensional Final Value David Matheson 19-32 -/- Meaningful and More Meaningful: A Modest Measure Peter Baumann 33-49 -/- Is Meaning in (...) Life Comparable?: From the Viewpoint of ‘The Heart of Meaning in Life’ Masahiro Morioka 50-65 -/- Agreement and Sympathy: On Metz’s Meaning in Life Sho Yamaguchi 66-89 -/- Metz’s Quest for the Holy Grail James Tartaglia 90-111 -/- Meaning without Ego Christopher Ketcham 112-133 -/- Death and the Meaning of Life: A Critical Study of Metz’s Meaning in Life Fumitake Yoshizawa 134-149 -/- Metz’ Incoherence Objection: Some Epistemological Considerations Nicholas Waghorn 150-168 -/- Meaning in Consequences Mark Wells 169-179 -/- Defending the Purpose Theory of Meaning in Life Jason Poettcker 180-207 -/- Review of Thaddeus Metz’s Meaning in Life Minao Kukita 208-214 -/- A Psychological Model to Determine Meaning in Life and Meaning of Life Yu Urata 215-227 -/- Assessing Lives, Giving Supernaturalism Its Due, and Capturing Naturalism: Reply to 13 Critics of Meaning in Life Thaddeus Metz 228-278 . (shrink)

This is a review essay on Carol Rovane's book The Metaphysics and Ethics of Relativism. I outline the main line of argument, clarify the central claim, raise some questions about some of the arguments, and suggest some limits on the extent to which one could see another's views as right but not accept them.

Perspectives on Context and Contextualism.

A number of recent accounts for vague terms postulate a kind of context-sensitivity, one that kicks in after the usual ‘external’ contextual factors like comparison class are established and held fixed. In a recent paper, ‘Vagueness without Context Change’: 275–92), Rosanna Keefe criticizes all such accounts. The arguments are variations on considerations that have been brought against context-sensitive accounts of knowledge, predicates of personal taste, epistemic modals, and the like. The issues are well known and there are variety of options (...) available in reply. More important, the arguments rely on an overly narrow conception of context-sensitivity, suggesting that one size fits all. If Keefe’s arguments were cogent, they would tell against the context-sensitivity of just about any expression, beyond the typical indexicals, including the variation of vague terms with comparison class. However, the criticisms raised by Keefe do highlight certain questions that must be answered by an advo... (shrink)

The meaning of “talk about God” remains the first and most fundamental issue facing philosophers and theologians in the modern age. This study concerns the analogies needed to make sense of that talk: images, ripe with poetic intensity, borrowed from the language and practice of faith; from the splicing together of lives, human and divine. It concerns, moreover, the reinvestment of those images in the structures of human personality, their role in the development of a renewed metaphysic of the human (...) spirit, aspirationally divine or ‘upwardly’ oriented. Such concerns have, in recent years, gained still greater urgency as a popular and aggressive ‘evangelical atheism’ has come to dominate religious discourse, threatening to obscure the human truth of religious language. The challenge is a familiar one; its polemic deeply indebted to British Empiricism and, perhaps, especially the Logical Positivism of the last century. It seems that those who put their faith in post-modern theories of language to silence the likes of Ayer and Russell spoke too soon. In response, theism has retreated from empiricist attack into a new-found realism. Championed by the likes of Peter Byrne, William Alston, and of course, Richard Swinburne, neo-realist metaphysics has, ostensibly, steeped itself in classical philosophy. Amid the search for reason and necessity, the God of grace and providence, of ordinary belief, has been forced to yield to ‘Perfect Being’ thinking, Absolute Being ontology, and other forms of untenable metaphysics, with few alternatives on the margins of relevance. The God of the philosophers may have the virtue of necessity, but this Being’s temperament remains essentially anti-social. With God successfully held in logical quarantine, we may well wonder whether “God-talk” means anything at all. To close the breach and realign finite with Infinite, philosophical faith with practical piety, has become the most pressing problem in contemporary philosophical theology. Undoubtedly, Whitehead and his neo-classical followers have been quick to learn the lessons of British Empiricism. If anything, however, they learned them too well, placing the religious emphasis almost exclusively on natural, physical forces. So seamless an alignment of God with Creation can be of little comfort to the ordinary believer. Caught between inflationary transcendence and reductive empiricism, the ‘gap’ between theological speculation and religious belief has widened until neither side seems very concerned with the other. Cleaving to ‘first principles’ and other metaphysical abstractions, both classical and neo-classical theologians have disenfranchised the faithful, putting faith on a trajectory for atheism. To steer a course between such extremes, I want to return to an earlier tradition; to a metaphysic of persons exemplified in the practice of faith. Doing so draws upon the logic of personal identity: what it means to be, or rather, to become, a person. This is the practical application of a cutting-edge theology, progeny of one of the twentieth century’s last great metaphysical minds. Almost fifty years after his death, Austin Farrer remains in the vanguard of modern theology, his vital grasp of faith and philosophy unequalled and unrivalled. Farrer first defended theology against the excesses of positivist and then process reduction but he used them to drive his own retreat from the scholastic tradition. This was analysed at great length by Charles Conti in Metaphysical Personalism. Locating the means and motive for revision in the experience and expressions of lived faith, Farrer supplied the vital corrective; there is nothing more one can say about such an overweening impersonalism which describes God as Ens per se, so cuts its own throat by depersonalising the cosmological connection. It is my supposition, on Farrer’s behalf, that person-concepts meet the pragmatic demands of both metaphysical theism and realistic belief. So doing, they open up a more fertile route between orthodox and ‘process’ mythologies. Following that route, I begin with the incoherence of philosophical realism and its ruinous application to theism. From there, we journey backwards into neo-classical and neo-Thomist thinkers who themselves attempted to overcome realist abstractions. Our destination lies in a Feuerbachian anthropology of theology or ‘anthropotheism’. Like Farrer, Ludwig Feuerbach used the language of the believer to relocate theology and philosophy within a framework which makes fertile use of anthropomorphic personifications to ‘think’ God. Ultimately, revisiting the personalist presuppositions of metaphysics in this way throws light on questions of personal identity, which is to describe the nature of an ‘overview’ existence directly related to or experienced in ourselves. This is to ‘draw’ reality on a grand-scale and, most importantly, locate our place within that image. Doing theology dynamically, or psychologically informed – as both Farrer and Feuerbach insisted we must – means recognising the constitutive role projections play in self-construction. Without conscious, active, or intentional participation in our projects, we cannot become persons at all. This returns us to the practice of faith wherein Feuerbach’s anthropology is reconstructed as applied theology, thus completing the personalist metaphysics perpetuated by Farrer as initially developed by the Biblical faith in a Godly person. And what greater challenge can religious philosophy respond to today? (shrink)

In chapter one I firstly critique some contemporary family-resemblance approaches to the category woman, and claim that they do not take sufficient account of dis-semblance, that is, resemblances that people have in common with members of the contrast category man. Second, I analyze how the concept of woman is semantically contestable: resemblance/dissemblance structures give rise to vagueness and to borderline cases. Borderline cases can either be included in the category or excluded from it. The factors which incline parties in a (...) dispute about membership to include or exclude depend on metaphysical, ethical, or political background assumptions. In chapter two, I begin by considering the harms suffered by transgender persons through “misgendering”, the deployment of gender terms which inflict psychological harms upon transgender persons, place them in situations of injustice, or diminish their self-respect. Such deployments are morally contestable: they can be challenged on ethical grounds. Several characterisations of the term ‘woman’ proposed in the feminist literature are critiqued from this perspective. In chapter three, I elaborate a broadly liberal approach to gender pluralism. The approach involves: i) the public toleration of gender practices and beliefs which contest prevalent gender norms; and ii) state-gender neutrality. Public toleration allows gender non-conforming practices and beliefs within public space. State gender-neutrality consists mainly in the removal from law and government policy of provisions which assume compliance with prevalent conceptions of gender. (shrink)

Nature is complex, exceedingly so. A repercussion of this “complex world constraint” is that it is, in practice, impossible to connect words to the world in a foolproof manner. In this paper I explore the ways in which the complex world constraint makes vagueness, or more generally imprecision, in language in practice unavoidable, illuminates what vagueness comes to, and guides us to a sensible way of thinking about truth. Along the way we see that the problem of ceteris paribus laws (...) is exactly the problem of vagueness and susceptible to similar treatment. (shrink)

We often describe lives (or parts of lives) as meaningful or as not meaningful. It is also common to characterize them as more or less meaningful. Some lives, we tend to think, are more meaningful than others. But how then can one compare lives with respect to how much meaning they contain? Can one? This paper argues that (i) only a notion of rough equality can be used when comparing different lives with respect to their meaning, and that (ii) the (...) relation of being more meaningful is not transitive. It follows that all attempts to rank different lives in terms of meaning can at best lead to partially indeterminate and incomplete rankings. One should also give up on the idea of “maximizing” meaning. I will use Thaddeus Metz’s important recent book “Meaning in Life. An Analytic Study” as a foil for my discussion. (shrink)

A lengthy reply to 13 critical discussions of _Meaning in Life: An Analytic Study_ collected in an e-book and reprinted from the _Journal of Philosophy of Life_. The contributors are from a variety of philosophical traditions, including the Anglo-American, Continental and East Asian (especially Buddhist and Japanese) ones.

Just about every theorist holds that vague terms are context-sensitive to some extent. What counts as ?tall?, ?rich?, and ?bald? depends on the ambient comparison class, paradigm cases, and/or the like. To take a stock example, a given person might be tall with respect to European entrepreneurs and downright short with respect to professional basketball players. It is also generally agreed that vagueness remains even after comparison class, paradigm cases, etc. are fixed, and so this context sensitivity does not solve (...) the problems with vague terms. In this paper, I briefly sketch the main features of my broadly contextualist account of vagueness, that of the late Ruth Manor, and that of Agustín Rayo, showing how the three accounts relate to, and reinforce, each other, noting a seeming difference. A key item used to articulate my own view is David Lewis's notion of conversational score. This is used to track which borderline cases have been called in the course of a conversation. Manor alludes to Lewis's notion of accommodation, a key aspect of the kinematics of conversation, and Rayo invokes Stalnaker's notion of common ground. I'll show how the conversational score could be employed to develop and extend their views, showing how vague terms, as they construe them, are (or can be) deployed in conversation, consistent with both the underlying indeterminacy of the terms and normal communicative goals. To help develop all three views further, I invoke Craige Roberts's notion of Retrievability, a tool developed to show how definites, such as definite descriptions, singular pronouns, and proper names, are deployed in conversation, in a Lewis-style scorekeeping framework. This, I think, is exactly the right way to understand conversations in what Manor calls non-sorities situations and, to invoke my own view, in sorites situations as well. (shrink)

I will contrast two conceptions of the nature of mathematical objects: the conception of mathematical objects as preconceived objects, and heavy duty platonism. I will argue that friends of the indispensability argument are committed to some metaphysical theses and that one promising way to motivate such theses is to adopt heavy duty platonism. On the other hand, combining the indispensability argument with the conception of mathematical objects as preconceived objects yields an unstable position. The conclusion is that the metaphysical commitments (...) of the indispensability argument should be carefully scrutinized. (shrink)

I argue that the semantic content of thoughts and the linguistic meaning of expressions are things with a history in the sense that they can be made fully intelligible only from the point of view of the future. I defend this position by articulating a version of a view known in the philosophy of language as temporal externalism. Temporal externalism about content is the view that the content of a subject’s thoughts and utterances at a time t depends on features (...) of the linguistic practices of her community after t. There are two different ways in which temporal externalism can be developed. First, one can take it to be the view according to which the meaning of an expression is given by the whole pattern of use, including future ones, of that expression. Alternatively, one can interpret temporal externalism as the view that the meaning of a speaker’s utterance is determined by the norms that govern or constrain her linguistic behaviour. These norms, which may be instituted at a later date, place their authoritative stamp upon prior conduct. I show that the first version of temporal externalism faces severe objections from which the second version is immune. I also provide a defence of this second position through an extensive discussion of some thought experiments. (shrink)

Este trabajo bosqueja una teoría analítica y realista de la interpretación jurídica. Analítica, en el sentido que su método es el análisis lógico del lenguaje de los juristas. Realista, en el sentido que, por un lado, sostiene que el derecho es indeterminado y, por otro lado, representa la interpretación desarrollada por los jueces como una actividad intrínsecamente discrecional. En la primera parte, se introducen las distinciones fundamentales entre: interpretación “in abstracto” e interpretación “in concreto”; interpretación cognoscitiva, decisoria, y creativa; interpretación (...) en sentido estricto y construcción jurídica. Esta última distinción tiene una importancia especial: la interpretación en sentido estricto consiste en atribuir significado a un texto normativo, mientras que la construcción jurídica consiste en formular normas nuevas, que se pretenden implícitas en el sistema jurídico. En la segunda parte, se analizan, en su estructura lógica, las más difundidas técnicas argumentativas por las cuales los juristas suelen justificar sus operaciones interpretativas y constructivas. (shrink)

The purpose of this article is to explore the extent to which mathematics is subject to open texture and the extent to which mathematics resists open texture. The resistance is tied to the importance of proof and, in particular, rigor, in mathematics.

Abstrakt. Když se řekne Ludwig Wittgenstein, vybaví se člověku, který to jméno už někdy slyšel, nejspíše termín jazyková hra. Tento termín si Wittgenstein vybral, aby se v rámci své pozdní filosofie distancoval od určitého druhu názorů na jazyk (druhu, kterého byly i jeho vlastní ranější filosofické názory). Chtěl jeho pomocí zdůraznit různorodost lidských aktivit, které se opírají o jazyk. Avšak ač to Wittgenstein úplně explicitně neříká, zdá se mi že je tu něco podstatného, co je podle něj pro jazykové hry (...) charakteristické, a to je role pravidel v rámci jejich konstituce. Tomu napovídá rozsah pozornosti, kterou Wittgenstein věnuje fenoménu pravidla ve Filosofických zkoumáních. Podle mne tedy můžeme říci, že jazyková hra je v typickém případě hrou - více či méně - 'řízenou' pravidly. Způsob, jakým se jazyková hra 'řídí' pravidly, se však v některých zásadních ohledech liší od způsobu, jakým se pravidly řídí hry, ke kterým občas naše jazykové hry přirovnáváme (šachy, fotbal ap.) Pravidla jazykových her jsou implicitní, vágní a do jisté míry otevřená. Přitom pravidla hry nám obvykle otevírají nějaký nový prostor - a v případě jazykových her je to prostor, kterému se dá říkat prostor smysluplnosti. Myslím ovšem, že skutečnou roli pravidel v rámci jazykových her Wittgenstein v rámci Filosofických zkoumání trochu zamlžuje; a cílem tohoto textu bude ji vyjasnit. (shrink)

Linguistic creativity is the ability to understand indefinitely many previously unencountered sentences. In this paper, I compare Chomsky’s and Ricœur’s contrasting conceptions of this ability, in particular, their divergent views of nonsense. With nonsense, it seems as if syntax is outrunning semantics. Chomsky took this to show that syntax is autonomous of semantics. I propose a reading of Ricœur’s work on metaphor whereby Chomsky’s thesis is modified so that syntax and semantics are declared to be ultimately co-extensive notions.

Philosophers often invite their readers to categorize imaginary objects. These objects are not only hypothetical: many of them cannot exist because of physical or technological reasons. They are unprecedented or unheard-of objects. By categorizing imaginary objects, philosophers expect to gain knowledge about our concepts. In this paper, I challenge this general assumption: not every conceivable object can be described in terms of our existing categories. Although prominent philosophers held similar views in the past, they made no effort to provide a (...) satisfactory explanation for such impossibility. The argument that I will develop in the following pages rests mainly on three philosophical assumptions: a) that concepts whose content philosophers attempt to describe denote “monothetic classes”; b) that concept formation depends largely on “ecological salience” (a notion developed in the field of ethnobiology); c) that in any monothetic class, we can draw a proper distinction between definitional and correlated properties. (shrink)

This study examines the concept of argumentation empirically, to correct the normative conception of argumentation adopted by most scholars since Aristotle. They are not interested in what argumentation is, but in what it ought to be. The pre-Aristotelian approach is preferable, because it recognizes that argumentation, although it includes persuasion, also embraces other eristic techniques in which the speaker does not necessarily seek to persuade, but simply to prevail. This broader descriptive and pragmatic analysis explains the different ways in which (...) discourse actually occurs and particular arguments succeed, leaving in a secondary place the opinion of each author on how they should be. (shrink)

We consider an approach to some philosophical problems that I call the Method of Conceptual Articulation: to recognize that a question may lack any determinate answer, and to re-engineer concepts so that the question acquires a definite answer in such a way as to serve the epistemic motivations behind the question. As a case study we examine “Galileo’s Paradox”, that the perfect square numbers seem to be at once as numerous as the whole numbers, by one-to-one correspondence, and yet less (...) numerous, being a proper subset. I argue that Cantor resolved this paradox by a method at least close to that proposed—not by discovering the true nature of cardinal number, but by articulating several useful and appealing extensions of number to the infinite. Galileo was right to suggest that the concept of relative size did not apply to the infinite, for the concept he possessed did not. Nor was Bolzano simply wrong to reject Hume’s Principle (that one-to-one correspondence implies equal number) in the infinitary case, in favor of Euclid’s Common Notion 5 (that the whole is greater than the part), for the concept of cardinal number (in the sense of “number of elements”) was not clearly defined for infinite collections. Order extension theorems now suggest that a theory of cardinality upholding Euclid’s principle instead of Hume’s is possible. Cantor’s refinements of number are not the only ones possible, and they appear to have been shaped by motivations and fruitfulness, for they evolved in discernible stages correlated with emerging applications and results. Galileo, Bolzano, and Cantor shared interests in the particulate analysis of the continuum and in physical applications. Cantor’s concepts proved fruitful for those pursuits. Finally, Gödel was mistaken to claim that Cantor’s concept of cardinality is forced on us; though Gödel gives an intuitively compelling argument, he ignores the fact that Euclid’s Common Notion is also intuitively compelling, and we are therefore forced to make a choice. The success of Cantor’s concept of cardinality lies not in its truth (for concepts are not true or false), nor its uniqueness (for it is not the only extension of number possible), but in its intuitive appeal, and most of all, its usefulness to the understanding. (shrink)

This collection of essays explores the philosophy of human knowledge from a multitude of perspectives, with a particular emphasis upon the justification component of the classical analysis of knowledge and with an excursion along the way to explore the role of knowledge in Texas Hold ‘Em poker. An important theme of the collection is the role of knowledge in religion, including a detailed argument for agnosticism. A number of the essays touch upon issues in philosophical logic, among them a fascinating (...) new counter-example to Modus Ponens. The collection is rounded out with essays on causality and the philosophy of mind. The author’s perspective on the philosophy of human knowledge is fresh and challenging, as evidenced by essays entitled “On Epistemic Preferability;” “On Being Unjustified;” “The Logic of ‘Unless’” and “Is ‘This sentence is true.’ True?” An interesting feature of The Logic of Philosophy: Pesky Essays is the inclusion of responses to several of its key essays, contributed by such prominent contemporary philosophers as Roderick Chisholm, Ted Sider and Tomas Kapitan. (shrink)