In this book, Stephen Read sets out to rescue logic from its undeserved reputation as an inflexible, dogmatic discipline by demonstrating that its technicalities and processes are founded on assumptions which are themselves amenable to philosophical investigation. He examines the fundamental principles of consequence, logical truth and correct inference within the context of logic, and shows that the principles by which we delineate consequences are themselves not guaranteed free from error. Central to the notion of truth is the (...) beguiling issue of paradox. Its philosophical value, Read shows, lies in exposing the invalid assumption on which the paradox is built. Thinking About Logic also discusses logical puzzles which introduce questions relating to language, the world, and their relationship. (shrink)

I read Stefan Collini’s What are Universities For? last week with very mixed feelings. In the past, I’ve much admired his polemical essays on the REF, “impact”, the Browne Report, etc. in the London Review of Books and elsewhere: they speak to my heart. If you don’t know those essays, you can get some of their flavour from his latest article in the Guardian yesterday. But I found the book a disappointment. Perhaps the trouble is that Collini is too decent, (...) too high-minded, has too unrealistically exalted a view about what actually happens in universities which is too coloured by attitudes appropriate to the traditional humanities. And he is optimistic to the point of fantasy if he thinks that people are so susceptible to “the romance of ideas and the power of beauty” that they will want, or can be brought to want, lots and lots of universities in order to promote the ideas (as if they would suppose that the task of “conserving, understanding, extending and handing on to subsequent generations the intellectual, scientific, and artistic heritage of mankind” was clearly ill-served when there were only forty universities in England, as opposed to a hundred and whatever). (shrink)

Pollock argues that theories of ideal rationality are largely irrelevant to the decision making of real agents. Thinking about Acting aims to provide a theory of "real rationality.".

The objective of this book is to produce a theory of rational decision making for realistically resource-bounded agents. My interest is not in “What should I do if I were an ideal agent?”, but rather, “What should I do given that I am who I am, with all my actual cognitive limitations?” The book has three parts. Part One addresses the question of where the values come from that agents use in rational decision making. The most comon view among philosophers (...) is that they are based on preferences, but I argue that this is computationally impossible. I propose an alternative theory somewhat reminiscent of Bentham, and explore how human beings actually arrive at values and how they use them in decision making. Part Two investigates the knowledge of probability that is required for decision-theoretic reasoning. I argue that subjective probability makes no sense as applied to realistic agents. I sketch a theory of objective probability to put in its place. Then I use that to define a variety of causal probability and argue that this is the kind of probability presupposed by rational decision making. So what is to be defended is a variety of causal decision theory. Part Three explores how these values and probabilities are to be used in decision making. In chapter eight, it is argued first that actions cannot be evaluated in terms of their expected values as ordinarily defined, because that does not take account of the fact that a cognizer may be unable to perform an action, and may even be unable to try to perform it. An alternative notion of “expected utility” is defined to be used in place of expected values. In chapter nine it is argued that individual actions cannot be the proper objects of decision-theoretic evaluation. We must instead choose plans, and select actions indirectly on the grounds that they are prescribed by the plans we adopt. However, our objective cannot be to find plans with maximal expected utilities. Plans cannot be meaningfully compared in that way. (shrink)

John Pollock aims to construct a theory of rational decision making for real agents--not ideal agents. Pollock argues that theories of ideal rationality are largely irrelevant to the decision making of real agents. Thinking about Acting aims to provide a theory of "real rationality.".

This volume examines the entire logical and philosophical production of Nikolai A. Vasil’ev, studying his life and activities as a historian and man of letters. Readers will gain a comprehensive understanding of this influential Russian logician, philosopher, psychologist, and poet. The author frames Vasil’ev’s work within its historical and cultural context. He takes into consideration both the situation of logic in Russia and the state of logic in Western Europe, from the end of the 19th century to the (...) beginning of the 20th. Following this, the book considers the attempts to develop non-Aristotelian logics or ideas that present affinities with imaginary logic. It then looks at the contribution of traditional logic in elaborating non-classical ideas. This logic allows the author to deal with incomplete objects just as imaginary logic does with contradictory ones. Both logics are objects of interesting analysis by modern researchers. (shrink)

This is a brief primer on elementary logic originally developed for an Applied Ethics course. I offer it here for any who might find it worthwhile or useful.

Nominalism faces the task of explaining away the ontological commitments of applied mathematical statements. This paper reviews an argument from the philosophy of logic that focuses on this task and which has been used as an objection to certain specific formulations of nominalism. The argument as it is developed in this paper aims to show that nominalism in general does not have the epistemological advantages its defendants claim it has. I distinguish between two strategies that are available to the (...) nominalist: The Evaluation Programme, which tries to preserve the common truth‐values of mathematical statements even if there are no mathematical objects, and Fictionalism, which denies that mathematical sentences have significant truth‐values. It is argued that the tenability of both strategies depends on the nominalist’s ability to account for the notion of consequence. This is a problem because the usual meta‐logical explications of consequence do themselves quantify over mathematical entities. While nominalists of both varieties may try to appeal to a primitive notion of consequence, or, alternatively, to primitive notions of logical or structural possibilities, such measures are objectionable. Even if we are equipped with a notion of either consequence or possibility that is primitive in the relevant sense, it will not be strong enough to account for the consequence relation required in classical mathematics. These examinations are also useful in assessing the possible counter‐intuitive appeal of the argument from the philosophy of logic. (shrink)

Volume 40, Issue 3, August 2019, Page 298-303.

This book review describes and evaluates John Pollock's view about rational decision-making.

This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is (...) class='Hi'>logic (logicism), the view that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally, Part IV brings the reader up-to-date with a look at contemporary developments within the discipline. This sweeping introductory guide to the philosophy of mathematics makes these fascinating concepts accessible to those with little background in either mathematics or philosophy. (shrink)

The liar paradox is widely conceived as a problem for logic and semantics. On the basis of empirical studies presented here, we suggest that there is an underappreciated psychological dimension to the liar paradox and related problems, conceived as a problem for human thinkers. Specific findings suggest that how one interprets the liar sentence and similar paradoxes can vary in relation to one’s capacity for logical and reflective thought, acceptance of certain logical principles, and degree of philosophical training, but (...) also as a function of factors such as religious belief, gender, and whether the problem is treated as theoretical or practical. Though preliminary, these findings suggest that one reason the liar paradox resists a final resolution is that it engages both aspects described by so-called dual process accounts of human cognition. (shrink)

In this paper I develop a theoretical framework for instruction in Critical Thinking courses which integrates informal logic with both psycho­logical work on error tendencies in human reasoning and the intellectual virtues. I argue that matters of cogency, which concern the content of one’s arguments, should be distinguished from matters of reasoning, which concern the actual inferences people draw. Informal logic and the intellectual virtues supply the normative standards for each of these dimensions of critical think­ing, and (...) the fallacies and error tendencies supply students with a stock of common errors. Understanding this framework has important pedagogical consequences for how we teach these courses. In particular, instructors ought to aim at developing metacognitive skill at reflection upon the inferences one draws in addition to logical skill in evaluating the cogency of one’s arguments. I conclude by drawing concrete lessons for Critical Thinking pedagogy. (shrink)

Luck looms large in numerous different philosophical subfields. Unfortunately, work focused exclusively on the nature of luck is in short supply on the contemporary analytic scene. In his highly impressive recent book Epistemic Luck, Duncan Pritchard helps rectify this neglect by presenting a partial account of luck that he uses to illuminate various ways luck can figure in cognition. In this paper, I critically evaluate both Pritchard’s account of luck and another account to which Pritchard’s discussion draws our attention—viz., that (...) due to Nicholas Rescher. I also assess some novel analyses of luck that incorporate plausible elements of Pritchard’s and Rescher’s accounts. (shrink)

Adopting a critical thinking methodology in which critical thinking tools are introduced and applied to medical ethics reading, this book explains the dialogue which is formed by the readings in each chapter and clarifies how the various thinkers are responding to one another in a common discussion. The books' unified approach offers a critical thinking pedagogy, which philosophically and logically pulls the many readings and philosophies together. The book examines an introduction to moral theory and critical (...) class='Hi'>thinking tools, while readings address the following issues: surrogacy contracts; abortion; ethical issues at the end of life; genetics and morality; ethics and HIV/AIDS; the relationship between medical professionals and patients; research on human and non-human subjects; allocation of medical resources and justice issues in health care systems. For individuals interested in medical ethics and philosophy. (shrink)

What are ceteris paribus laws? Which disciplines appeal to cp laws and which semantics, metaphysical underpinning, and epistemological dimensions do cp law statements have? Firstly, we give a short overview of the recent discussion on cp laws, which addresses these questions. Secondly, we suggest that given the rich and diverse literature on cp laws a broad conception of cp laws should be endorsed which takes into account the different ways in which laws can be non-universal . Finally, we provide an (...) overview of the special issue on that basis and describe the individual contributions to the special issue according to the issues they address: the range of applications of cp laws as well as the semantics, metaphysics, and epistemology pertaining to cp law statements. (shrink)

This brief, affordable text helps students to think critically, using examples from the weird claims and beliefs that abound in our culture to demonstrate the sound evaluation of any claim. It explains step-by-step how to sort through reasons, evaluate evidence, and tell when a claim is likely to be true. The emphasis is neither on debunking nor on advocating specific assertions, but on explaining principles of critical thinking that enable readers to evaluate claims for themselves. The authors focus on (...) types of logical arguments and proofs, making How to Think about Weird Things a versatile supplement for logic, critical thinking, philosophy of science, or any other science appreciation courses. (shrink)

General preface -- Preface to the second edition -- What is philosophy of religion? -- Philosophy of religion and other disciplines -- Philosophy of religion and philosophy -- Can thinking about religion be neutral? -- Fideism -- Neutralism -- Critical dialogue -- The theistic God : the project of natural theology -- Concepts of God -- The theistic concept of God -- A case study : divine foreknowledge and human freedom -- The problem of religious language -- Natural (...) theology -- Proofs of God's existence -- Classical arguments for God's existence -- Ontological arguments -- Cosmological arguments -- Teleological arguments -- Moral arguments -- Conclusions: The value of theistic argument -- Religious experience -- Types of religious experience -- Models for understanding experience -- Experience of God as direct and mediated -- Are religious experiences veridical? -- Checking experiential claims -- Special acts of God : revelation and miracles -- Special acts -- Theories of revelation -- Is the traditional view defensible? -- What is a miracle? -- Is it reasonable to believe in miracles? -- Can a revelation have special authority? -- Religion, modernity, and science -- Modernity and religious belief -- Naturalism -- Do the natural sciences undermine religious belief? -- Objections from the social sciences -- Religious uses of modern atheism -- The problem of evil -- Types of evil, versions of the problem, and types of response -- The logical form of the problem -- The evidential form of the problem -- Horrendous evils and the problem of hell -- Divine hiddenness -- Faith(s) and reason -- Faith : subjectivity in religious arguments -- The evidentialist challenge to religious belief -- Reformed epistemology -- The place of subjectivity in forming beliefs -- Interpretive judgments and the nature of a cumulative case -- Can faith be certain? -- Faith and doubt : can religious faith be tested? -- What is faith? -- Could one religion be true? (shrink)

Loci personarum, ‘topics for persons’ were used in Latin rhetoric for the description of persons, their external circumstances, physical attributes, or qualities of character. They stood in the way of fusing rhetoric and dialectic, the goal of sixteenth-century ‘humanistic’ logic: the project of a unified theory of invention depends on the exclusion of loci personarum from the domain of dialectic proper. But still they cannot easily be replaced in the class room. Bartholomaeus Keckermann resolved these difficulties: he proposed to (...) abandon the notion that loci personarum could play a role in finding new arguments concerning persons. So they pose no risks for a unified theory of invention, because they can only be used for the exposition of information that we already have. Since loci personarum are concerned with individuals, the knowledge about individuals that is available to us is inescapably circumstantial and contingent, defying the claim of generality or necessity of dialectic made by Keckermann’s sixteenth-century predecessors. However, our thinking about persons is primarily interested in those aspects that we do not share with other members of our species. For Keckermann, persons are therefore logically different from most individuals belonging to other species. (shrink)

a review of John Pollock's *Thinking about Acting* with a focus on his aim of describing psychological mechanisms which are humanly feasible.

Augé describes non-places as quantifiable and measureable physical space, but does not give an appropriate measure to do so. This contribution thinks about using crowd-harvested photo data, a specific kind of Big Data, to measure non-places in the context of tourism by giving a theory based discussion on Augé’s non-places, photography as key element of “doing” tourism, and the selection processes of photography and uploading photos. Solely using theoretical thoughts and propositional logic, this contribution indicates that it could (...) be possible to do so. Yet, there are plenty of empirical studies needed in order to verify the built hypothesis. (shrink)

The present study aims to elucidate whether insight problem solving could be facilitated by the cognitive component of humour. The authors take interest in whether the logical mechanisms of humour can affect how fast insight problems are solved. To that end, the authors conducted two experiments where participants solved insight problems after watching visual humorous stimuli such as videos and slideshows. The first experiment demonstrated the overall impact of facilitation by humour on insight problem solving; however, it did not show (...) any difference in how particular logical mechanisms of humour affect the solution time of insight problems. The second experiment showed that the cognitive component of humour could selectively affect insight problems whose difficulty stems from different sources. These results suggest that the cognitive component of humour, when operationalised as logical mechanisms and schema switching, contributes to solving insight problems. (shrink)

Conceptions of philosophy -- Philosophy as a rational inquiry -- Logical reasoning -- The debate on the idea of African philosophy -- Philosophy, society, and national development -- Appendix : writing a long essay/project in philosophy.

It is argued in this study that (i) progress in the philosophy of mathematical practice requires a general positive account of informal proof; (ii) the best candidate is to think of informal proofs as arguments that depend on their matter as well as their logical form; (iii) articulating the dependency of informal inferences on their content requires a redefinition of logic as the general study of inferential actions; (iv) it is a decisive advantage of this conception of logic (...) that it accommodates the many mathematical proofs that include actions on objects other than propositions; (v) this conception of logic permits the articulation of project-sized tasks for the philosophy of mathematical practice, thereby supplying a partial characterisation of normal research in the field. (shrink)

Appeals to human nature are ubiquitous, yet historically many have proven ill-founded. Why? How might frequent errors be remedied towards building a more robust and reliable scientific study of human nature? Our aim is neither to advance specific scientific or philosophical claims about human nature, nor to proscribe or eliminate such claims. Rather, we articulate through examples the types of errors that frequently arise in this field, towards improving the rigor of the scientific and social studies. We seek to (...) analyze such claims rhetorically, cognitively, and epistemically. Namely, how do we think about human nature? Claims about human nature, we show, are susceptible to widely exhibited deficits in cognitive tendencies such as framing, confirmation bias, satisficing, and teleological perspectives, as well as motivated reasoning. Such missteps foster methodological, empirical, and psychological mistakes and biases. Specifically, they promote the naturalizing error, whereby cultural ideology and values are projected onto an apparently objective description of nature. Concrete remedies are offered to aid scientists in conducting and reporting their research goals and findings more responsibly and effectively (relevant also to educators and other communicators who convey these findings publicly). Recommendations include acknowledging that human nature claims are often context-dependent, seeking multiple critical perspectives, and explicitly labeling uncertainties. (shrink)

Can international relations (IR) be a distinctive discipline? In the present paper I argue that such a discipline would be a social science that could be formulated within the perspective of comparative paradigms. The objections to scientific methods are thus overcome by the logic of international oppositions, in other words a model takes several paradigms into account and considers three kinds of foreign relation (enemy, friend, and rival) in the light of three main questions: what is IR about (...) (ontology); what does relate therein (epistemology); and how to assess such a relation (logic). (shrink)

Almost every contemporary theory of knowledge is a version of fallibilism, yet an adequate statement of fallibilism has not yet been provided. Standard definitions cannot account for fallibilistic knowledge of necessary truths. I consider and reject several attempts to resolve this difficulty before arguing that a belief is an instance of fallibilistic knowledge when it could have failed to be knowledge. This is a fully general account of fallibilism that applies to knowledge of necessary truths. Moreover, it reveals, not only (...) the connection between fallibility and error, but the connection between fallibility and accidental truth as well. (shrink)

Frege is an anti-psychologist about logic who takes logic to be sharply distinguished from psychology. However, Frege also takes judgment, which seems to be a subject of psychology, to be essential to logic. Van der Schaar attempts to explain away this tension by arguing that judgments relevant to logic in Frege are not mental actions psychology deals with. Against this reading, I show that for Frege, judgments are mental actions consistently. The tension in question should (...) be explained away by clarifying the sense in which judgment is essential to logic for Frege. He takes judgment to be essential to logic because he thinks that logic requires judgments to be performed. Logic requires logicians to be committed to truth, and it is by judgments that we are committed to truth. If Frege takes judgment to be essential to logic only in this sense, he is not thereby committed to logical psychologism. (shrink)

"Semantic dispositionalism" is the theory that a speaker's meaning something by a given linguistic symbol is determined by her dispositions to use the symbol in a certain way. According to an objection by Kripke, further elaborated in Kusch :156–163, 2005), semantic dispositionalism involves ceteris paribus-clauses and idealisations, such as unbounded memory, that deviate from standard scientific methodology. I argue that Kusch misrepresents both ceteris paribus-laws and idealisation, neither of which factually "approximate" the behaviour of agents or the course of events, (...) but, rather, identify and isolate nature's component parts and processes. An analysis of current results in cognitive psychology vindicates the idealisations involved and certain counterfactual assumptions in science generally. In particular, results suggest that there can be causal continuity between the dispositional structure of actual objects and that of highly idealised objects. I conclude by suggesting that we can assimilate ceteris paribus-laws with disposition ascriptions insofar as they involve identical idealising assumptions. (shrink)

Suppose a theory T entails hypotheses H and $$H'$$, neither of which entails the other. A number of authors have argued that a piece of evidence E “indirectly confirms” H when E confirms either T or $$H'$$. But there has been a protracted and unsettled debate about whether indirect confirmation is a sound inference procedure. Skeptics argue that the procedure employs conditions of confirmation that jointly lead to absurdity. Proponents argue that this criticism is unfounded or that its import (...) is exaggerated. I will argue that no side has the story quite right, and some have the story quite wrong. Indirect confirmation, as characterized above, is unsound, and a good chunk of this paper will be concerned with showing why most extant defenses of the procedure err. On the other hand, when certain probabilistic (in)dependence relations hold between T, H, and $$H'$$, indirect confirmation can work, for reasons that trace back to Reichenbach’s principle of the common cause. I illustrate these matters with some contemporary and historical examples, with a particular focus on Kepler’s use of data about mars’s elliptical orbit to justify a claim about earth’s. (shrink)

In the Posterior Analytics (I 6, 75a18–27) Aristotle discusses a puzzle which endangers the possibility of inferring a non-necessary conclusion. His solution relies on the distinction between the necessity of the conclusion's being the case and the necessity of admitting the conclusion once one has admitted the premisses. The former is a factual necessity, whereas the latter is meant to be a normative or deontic necessity that is independent of the facts stated by the premisses and the conclusion. This paper (...) maintains that Aristotle resorts to this distinction because he thinks that, as long as it is conceived as a factual relation, logical consequence cannot exist independently of the facts expressed by the premisses and the conclusion. As a corollary, the necessity of such a consequence relation always requires the necessity of these facts. Aristotle holds this factual conception of logical consequence responsible for the puzzle, since it cannot account for valid syllogisms with contingent or false premisses. The alternative conception of necessity is then introduced by him in order to make good this deficiency. The distinction between the necessity of being and the necessity of saying was revived by the Oxford logician E. W. B. Joseph, and taken over by Frank Ramsey in his seminal Truth and Probability, but has not received attention from recent interpreters of Aristotle's logic. This paper, however, argues that, in spite of its intrinsic interest, the distinction bore no significant fruit in Aristotle's logical doctrine. (shrink)

The phenomenon of reference is a very ordinary one. We refer to things in one manner or another in nearly every sentence we utter or thought we entertain. Yet within the analytic tradition, the phenomenon of reference has proved oddly resistant to philosophical clarification. Attempts to provide such clarification have met with a wide range of paradoxes and seemingly intractable aporias. The phenomenon has generally been treated in one of three ways: as an unexplained relation between words and entities of (...) the 'non-linguistic world'; as an internal feature of language lacking a genuinely relational structure; or as a 'mentalistic excrescence' that can and should be dissolved by logical analysis. I argue that none of these ways of accounting for the phenomenon does justice to it, and that the difficulties surrounding the problem of reference in the analytic tradition stem largely from certain reductive and metaphysical prejudices within that tradition. ;I attempt to demonstrate here that the phenomenon of reference can be adequately clarified only when its relational structure and its essential nature as an act are acknowledged. I argue that Husserl's phenomenology is uniquely able to meet this criterion, providing a clarification of the phenomenon while correcting the philosophical prejudices of the analytic account. That the phenomenological account of reference compares favorably to the analytic one is illustrated here by examining the difficulties that have attended analytic attempts to explain reference from Frege onward. These include the puzzle of informative identity statements, problems with substitution, naming, identification and description, Russell's Paradox, difficulties with occasional/indexical reference, 'intentional inexistence' and several others. Each of these problems can be readily solved with the phenomenological model. ;Though Husserl's phenomenology is certainly not without its own difficulties and limitations, it provides a much-needed correction to the myopia of the analytic tradition, particularly with respect to the irreducibly relational and act-driven structure of experience. The phenomenological clarification of reference, a phenomenon that issues directly from this structure, is uniquely illustrative of the value of such a correction. (shrink)

We are reliable about logic in the sense that we by-and-large believe logical truths and disbelieve logical falsehoods. Given that logic is an objective subject matter, it is difficult to provide a satisfying explanation of our reliability. This generates a significant epistemological challenge, analogous to the well-known Benacerraf-Field problem for mathematical Platonism. One initially plausible way to answer the challenge is to appeal to evolution by natural selection. The central idea is that being able to correctly deductively (...) reason conferred a heritable survival advantage upon our ancestors. However, there are several arguments that purport to show that evolutionary accounts cannot even in principle explain how it is that we are reliable about logic. In this paper, I address these arguments. I show that there is no general reason to think that evolutionary accounts are incapable of explaining our reliability about logic. (shrink)

This is the paperback edition of Dr Reeves’ valuable book: in the four years since its original publication it has received merited attention and praise for correlating, in substantial detail, the old ‘inspectionist’, ‘picture’ view of thinking with the contemporary ‘action’, ‘process’ conceptions. ‘In the empirical tradition at any rate, and in this tradition much early systematic psychologizing was rooted, interest tended to be focused on the content of thinking, sensation was considered a fundamental source of that content, (...) and thinking, so far as it was an activity, approximated to some form of visual inspection. Ideas, images, their permutations and combinations constituted that which came under this conscious scrutiny’. Excellent chapters on Locke, Spinoza, Freud, Gestalt Psychology and Binet detail the breakdown and rejection of this simple associationist treatment of thought. However ‘in assimilating thinking to action and moving away from the inspectionist viewpoint, we must be careful not to throw away key processes such as recognition, without which it seems impossible to derive constructive, realistic and logical thinking from that which is governed by immediate stimulus and motive’. (shrink)

This article discusses the history of the concepts of potential infinity and actual infinity in the context of Christian theology, mathematical thinking and metaphysical reasoning. It shows that the structure of Ancient Greek rationality could not go beyond the concept of potential infinity, which is highlighted in Aristotle's metaphysics. The limitations of the metaphysical mind of ancient Greece were overcome through Christian theology and its concept of the infinite God, as formulated in Gregory of Nyssa's theology. That is how (...) the concept of actual infinity emerged. However, Gregory of Nyssa's understanding of human rationality went still further. He said that access to the infinity of God was to be found only in an asymptotic ascension, as expressed in apophatic theology, and this view endangered the rationality of theology. Deeply influenced by the apophatic tradition, Nicholas of Cusa avoided this danger by showing that infinity could be accessed by symbolic representation and asymptotic mathematical reasoning. Thus, he made an immense contribution in making infinity rationally accessible. This endeavor was finally realized by Georg Cantor. This rational accessibility revealed discernible structures of infinity, such as the continuum hypothesis, and the cardinal numbers. However, the probable logical inconsistency of Georg Cantor's all-encompassing Absolute Infinity points to an intuitive understanding of infinity that goes beyond its rational structures – as in apophatic theology. (shrink)