We provide a solution to the well-known “Shooting-Room” paradox, developed by John Leslie in connection with his Doomsday Argument. In the “Shooting-Room” paradox, the death of an individual is contingent upon an event that has a 1/36 chance of occurring, yet the relative frequency of death in the relevant population is 0.9. There are two intuitively plausible arguments, one concluding that the appropriate subjective probability of death is 1/36, the other that this probability is 0.9. How are these two (...) values to be reconciled? We show that only the first argument is valid for a standard, countably additive probability distribution. However, both lines of reasoning are legitimate if probabilities are non-standard. The subjective probability of death rises from 1/36 to 0.9 by conditionalizing on an event that is not measurable, or whose probability is zero. Thus we can sometimes meaningfully ascribe conditional probabilities even when the event conditionalized upon is not of positive finite (or even infinitesimal) measure. (shrink)

Pollock is developing, and testing computationally a theory of rationality. I endorse his claim that the structure of argument is not always linear, his replacement of the deductive-inductive distinction with a deductive-defeasible distinction, and hi s distinction between rebutting defeaters, and undercutting defeaters. I question the absence of pragmatic constraints in his acceptance rule, an absence which fits ill with his criterion of interruptibility, that it is reasonable to act on the conclusions drawn at any point. I also wonder about (...) building a model of a rational agent in which there is no place for interpersonal argumentative discussion. (shrink)

The epistemologist John Pollock has implemented computationally an architecture for a rational agent which he calls OSCAR. OSCAR models both practical and theoretical (or epistemic) reasoning. I argue that Pollock's model of practical reasoning, which has seven components, is superior not only to the two-component belief-desire model stemming from Aristotle, but also to the three-component belief-desire-intention model developed especially by Michael Bratman. Despite its advantages, Pollock's model of practical reasoning is incomplete in at least three respects: it is solipsistic, (...) it is egoistic and it is unsocial. (shrink)

As a libertarian studying, embracing, and teaching a philosophy of individual freedom, John Hospers, like many of us, was heavily influenced by the philosophical writings of Ayn Rand. Rand’s major novels The Fountainhead and Atlas Shrugged continue to delight and empower readers through embracing the heroic creator or inventor, technological and scientific progress, and the competent individual. These are some of the archetypes of the Randian hero. At the other end of the scale were the incompetent looters and moochers (...) who could only function in her world by controlling those with ability and the savages of ancient or undeveloped cultures who could not comprehend ability, seizing the means of progress before killing the inventor, then retreating into mysticism and magic. Rand was not an archaeologist and wrote at a time before scholars of prehistory focused on the rational and productive aspects of ancient civilizations upon which enabled the present to emerge in fits and starts. These aspects include technology, record keeping, maritime trade, and pre- monetary economies. This paper will consider the emergence of globalized connectivites in the Mediterranean during the Late Bronze Age (ca. 1700-1300 BCE) which was arguably the first age of globalization in human history. It was also one of the first ages of social acceleration characterized by a confluence of increasing technological and economic interdependency, yet fragile in its susceptibility to climate change, plagues, and authoritarian city-states and small empires ruled by kings claiming divinity or divine authority. Thus, the Late Bronze Age was also an economically fragile era with a high concentration of wealth distributed among supra-regional global elite plutocrats unified more by wealth and shared symbolism than by cultural tradition or ideology. This era was susceptible to populist resistance in the form of piratical activity and banditry. This paper explores the globalist and populist aspects of the ancient Mediterranean. In doing so, I suggest that some globalized elites of the present day perpetuate another Randian archetype, the moochers and looters. In doing so, it transcends ideology to focus on how the non-productive in current society acquire vast concentrations of wealth and power. (shrink)

In an enumerative induction we project a property found in all the examined members of a class to a hitherto unexamined member of that class. I consider an unresolved disagreement between Stephen Thomas and John Nolt about how likely the conclusion of one example of such reasoning is, given the premisses. Reflection on their controversy, and on the example, indicates that many textbook commonplaces about enumerative inductions are false. In particular, uniformity of the examined members of a class does (...) not necessarily make it highly likely that the next member will have the target property; this proposition may still be unlikely, or on the other hand be quite definite, depending on our background knowledge. Also, enumerative induction need not rely on any general assumption about the uniformity of nature or the resemblance of the future to the past. (shrink)

I resolve an apparently unresolved dispute about how probable uniform experience makes an extrapolation from it, and draw some general lessons about such enumerative induction. Uniform experience does not necessarily confer a high probability on an extrapolation of or generalization from that experience. Rational extrapolation or generalization typically involves a lot of specific background information, though not necessarily a general assumption that nature is uniform or that the future will resemble the past. And new evidence which is highly likely on (...) one hypothesis but highly unlikely on any of its competitors does not necessarily make the former hypothesis highly probable. (shrink)

This essay is a return to the scene of a crime. In my recent book on Hitchcock I made an outrageously general argument for the affinity between Hitch’s narrativesand David Hume’s reasoning about human nature. For something so speculative, youexpect cracks to appear pretty soon. But my impulse since the book’s appearance has notbeen to feel I exaggerated – which I’m sure I did – but to sense that I did not go far enough.There was more to be said (...) about this oblique, long distance liaison down the centuries andI now feel it best said through a film which I had not discussed at all, partly because I sharedthe general feeling that this was not one of Hitch’s most auspicious films. The acting wasuneven, the tone whimsical, the plot often cluttered and it suffered, or so I thought, fromthat general uncertainty of touch that sometimes characterised Hitchcock’s return toEngland. But then again his short wartime film Bon Voyage has beenunderestimated, as were in different ways Under Capricorn , the remade The ManWho Knew Too Much and later Frenzy . As Michael Walker has pointed out, Stage Fright has a structural complexity, a narrative coherence anda textual density missing from his 1930s films like Young And Innocent . In otherwords, it brings back to London in 1950 the innovating aspects of Hitchcock’s Hollywoodaesthetic of the 1940s. (shrink)

Corcoran’s 27 entries in the 1999 second edition of Robert Audi’s Cambridge Dictionary of Philosophy [Cambridge: Cambridge UP]. -/- ancestral, axiomatic method, borderline case, categoricity, Church (Alonzo), conditional, convention T, converse (outer and inner), corresponding conditional, degenerate case, domain, De Morgan, ellipsis, laws of thought, limiting case, logical form, logical subject, material adequacy, mathematical analysis, omega, proof by recursion, recursive function theory, scheme, scope, Tarski (Alfred), tautology, universe of discourse. -/- The entire work is available online free at more than (...) one website. Paste the whole URL. http://archive.org/stream/RobertiAudi_The.Cambridge.Dictionary.of.Philosophy/Robert.Audi_The.Cambrid ge.Dictionary.of.Philosophy -/- The 2015 third edition will be available soon. Before you think of buying it read some reviews on Amazon and read reviews of its competition: For example, my review of the 2008 Oxford Companion to Philosophy, History and Philosophy of Logic,29:3,291-292. URL: http://dx.doi.org/10.1080/01445340701300429 -/- Some of the entries have already been found to be flawed. For example, Tarski’s expression ‘materially adequate’ was misinterpreted in at least one article and it was misused in another where ‘materially correct’ should have been used. The discussion provides an opportunity to bring more flaws to light. -/- Acknowledgements: Each of these entries was presented at meetings of The Buffalo Logic Dictionary Project sponsored by The Buffalo Logic Colloquium. The members of the colloquium read drafts before the meetings and were generous with corrections, objections, and suggestions. Usually one 90-minute meeting was devoted to one entry although in some cases, for example, “axiomatic method”, took more than one meeting. Moreover, about half of the entries are rewrites of similarly named entries in the 1995 first edition. Besides the help received from people in Buffalo, help from elsewhere was received by email. We gratefully acknowledge the following: José Miguel Sagüillo, John Zeis, Stewart Shapiro, Davis Plache, Joseph Ernst, Richard Hull, Concha Martinez, Laura Arcila, James Gasser, Barry Smith, Randall Dipert, Stanley Ziewacz, Gerald Rising, Leonard Jacuzzo, George Boger, William Demopolous, David Hitchcock, John Dawson, Daniel Halpern, William Lawvere, John Kearns, Ky Herreid, Nicolas Goodman, William Parry, Charles Lambros, Harvey Friedman, George Weaver, Hughes Leblanc, James Munz, Herbert Bohnert, Robert Tragesser, David Levin, Sriram Nambiar, and others. -/- . (shrink)

Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are used in ordinary exact English. In a logically perfect language the oxymoron ‘the numbers 3 and 2+1 are the same number’ could not be said. Likewise, ‘the number 3 and the number 2+1 are one number’ is just as bad from a logical point (...) of view. In normal English these two sentences are idiomatically taken to express the true proposition that ‘the number 3 is the number 2+1’. Another idiomatic convention that interferes with clarity about equality and identity occurs in discussion of numbers: it is usual to write ‘3 equals 2+1’ when “3 is 2+1” is meant. When ‘3 equals 2+1’ is written there is a suggestion that 3 is not exactly the same number as 2+1 but that they merely have the same value. This becomes clear when we say that two of the sides of a triangle are equal if the two angles they subtend are equal or have the same measure. -/- Acknowledgements: Robert Barnes, Mark Brown, Jack Foran, Ivor Grattan-Guinness, Forest Hansen, David Hitchcock, Spaulding Hoffman, Calvin Jongsma, Justin Legault, Joaquin Miller, Tania Miller, and Wyman Park. -/- ► JOHN CORCORAN AND ANTHONY RAMNAUTH, Equality and identity. Philosophy, University at Buffalo, Buffalo, NY 14260-4150, USA E-mail: [email protected] The two halves of one line are equal but not identical [one and the same]. Otherwise the line would have only one half! Every line equals infinitely many other lines, but no line is [identical to] any other line—taking ‘identical’ strictly here and below. Knowing that two lines equaling a third are equal is useful; the condition “two lines equaling a third” often holds. In fact any two sides of an equilateral triangle is equal to the remaining side! But could knowing that two lines being [identical to] a third are identical be useful? The antecedent condition “two things identical to a third” never holds, nor does the consequent condition “two things being identical”. If two things were identical to a third, they would be the third and thus not be two things but only one. The plural predicate ‘are equal’ as in ‘All diameters of a given circle are equal’ is useful and natural. ‘Are identical’ as in ‘All centers of a given circle are identical’ is awkward or worse; it suggests that a circle has multiple centers. Substituting equals for equals [replacing one of two equals by the other] makes sense. Substituting identicals for identicals is empty—a thing is identical only to itself; substituting one thing for itself leaves that thing alone, does nothing. There are as many types of equality as magnitudes: angles, lines, planes, solids, times, etc. Each admits unit magnitudes. And each such equality analyzes as identity of magnitude: two lines are equal [in length] if the one’s length is identical to the other’s. Tarski [1] hardly mentioned equality-identity distinctions (pp. 54-63). His discussion begins: -/- Among the logical concepts […], the concept of IDENTITY or EQUALITY […] has the greatest importance. -/- Not until page 62 is there an equality-identity distinction. His only “notion of equality”, if such it is, is geometrical congruence—having the same size and shape—an equivalence relation not admitting any unit. Does anyone but Tarski ever say ‘this triangle is equal to that’ to mean that the first is congruent to that? What would motivate him to say such a thing? This lecture treats the history and philosophy of equality-identity distinctions. [1] ALFRED TARSKI, Introduction to Logic, Dover, New York, 1995. [This is expanded from the printed abstract.] . (shrink)

Iffication, Preiffication, Qualiffication, Reiffication, and Deiffication. -/- Roughly, iffication is the speech-act in which—by appending a suitable if-clause—the speaker qualifies a previous statement. The clause following if is called the qualiffication. In many cases, the intention is to retract part of the previous statement—called the preiffication. I can retract part of “I will buy three” by appending “if I have money”. This initial study focuses on logical relations among propositional contents of speech-acts—not their full conversational implicatures, which will be treated (...) elsewhere. The modified statement—called the iffication—is never stronger than the preiffication. A degenerate iffication is one logically equivalent to its preiffication. There are limiting cases of degenerate iffications. In one, the qualiffication is tautological, as “I will buy three if three is three”. In another, the negation of the qualiffication implies the preiffication, as “I will buy three if I will not buy three”. Reiffication is iffication of an iffication. “I will buy three if I have money” is reifficated by appending “if there are three left”. Deiffication is the speech-act in which—by appending a suitable and-clause—the effect of an iffication is cancelled so that the result implies the preiffication. “I will buy three if I have money” is deifficated by appending “and I have money”. All further examples come from standard (one-sorted, tenseless, non-modal) first-order arithmetic. All theorems are about first-order arithmetic propositions. An easy theorem, hinted above, is that an iffication is degenerate if and only if the negation of the qualiffication implies the preiffication. The iffication of a conjunction using one of the conjuncts as qualiffication need not imply the other conjunct: “Two is an even square if two is square” does not imply “Two is even”. END OF PRINTED ABSTRACT. -/- Some find that the last statement provides a surprise in logic. https://www.academia.edu/s/a5a4386b75?source=link Acknowledgements: Robert Barnes, William Frank, Amanda Hicks, David Hitchcock, Leonard Jacuzzo, Edward Keenan, Mary Mulhern, Frango Nabrasa, and Roberto Torretti. (shrink)

Though the revised edition of A Theory of Justice, published in 1999, is the definitive statement of Rawls's view, so much of the extensive literature on Rawls's theory refers to the first edition.

Reissued here in its corrected second edition of 1864, this essay by John Stuart Mill argues for a utilitarian theory of morality. Originally printed as a series of three articles in Fraser's Magazine in 1861, the work sought to refine the 'greatest happiness' principle that had been championed by Jeremy Bentham, defending it from common criticisms, and offering a justification of its validity. Following Bentham, Mill holds that actions can be judged as right or wrong depending on whether they (...) promote happiness or 'the reverse of happiness'. Although attracted by Bentham's consequentialist framework based on empirical evidence rather than intuition, Mill separates happiness into 'higher' and 'lower' pleasures, arguing for a weighted system of measurement when making and judging decisions. Dissected and debated since its first appearance, the essay is Mill's key discussion on the topic and remains a fundamental text in the study of ethics. (shrink)

In this philosophically sophisticated and historically significant work, John H. Zammito reconstructs Kant's composition of The Critique of Judgment and reveals that it underwent three major transformations before publication. He shows that Kant not only made his "cognitive" turn, expanding the project from a "Critique of Taste" to a Critique of Judgment but he also made an "ethical" turn. This "ethical" turn was provoked by controversies in German philosophical and religious culture, in particular the writings of Johann Herder and (...) the Sturm und Drang movement in art and science, as well as the related pantheism controversy. Such topicality made the Third Critique pivotal in creating a "Kantian" movement in the 1790s, leading directly to German Idealism and Romanticism. The austerity and grandeur of Kant's philosophical writings sometimes make it hard to recognize them as the products of a historical individual situated in the particular constellation of his time and society. Here Kant emerges as a concrete historical figure struggling to preserve the achievements of cosmopolitan Aufkl-rung against challenges in natural science, religion, and politics in the late 1780s. More specifically Zammito suggests that Kant's Third Critique was animated throughout by a fierce personal rivalry with Herder and by a strong commitment to traditional Christian ideas of God and human moral freedom. "A work of extraordinary erudition. Zammito's study is both comprehensive and novel, connecting Kant's work with the aesthetic and religious controversies of the late eighteenth century. He seems to have read everything. I know of no comparable historical study of Kant's Third Critique."-Arnulf Zweig, translator and editor of Kant's ;IPhilosophical Correspondence, 1759-1799;X "An intricate, subtle, and exciting explanation of how Kant's thinking developed and adjusted to new challenges over the decade from the first edition of the Critique of Pure Reason to the appearance of the Critique of Judgment. "--John W. Burbidge, Review of Metaphysics "There has been for a long time a serious gap in English commentary on Kant's Critique of Judgment Zammito's book finally fills it. All students and scholars of Kant will want to consult it."--Frederick Beiser, Times Literary Supplement. (shrink)

J.L. Mackie insists that ordinary evaluative thought presents itself as a matter of sensitivity to aspects of the world. And this phenomenological thesis seems correct. When one or another variety of philosophical non-cognitivism claims to capture the truth about what the experience of value is like, or (in a familiar surrogate for phenomenology) about what we mean by our evaluative language, the claim is never based on careful attention to the lived character of evaluative thought or discourse. The idea is, (...) rather, that the very concept of the cognitive or factual rules out the possibility of an undiluted representation of how things are, enjoying, nevertheless, the internal relation to 'attitudes' or the will that would be needed to count as evaluative. On this view the phenomenology of value would involve a mere incoherence, if it were as Mackie says--a possibility that then tends (naturally enough) not to be so much as entertained. But, as Mackie sees, there is no satisfactory justification for supposing that the factual is, by definition, attitudinatively and motivationally neutral. This clears away the only obstacle to accepting his phenomenological claim; and the upshot is that non-cognitivism must offer to correct the phenomenology of value, rather than give an account of it. -/- In Machie's view the correction is called for. In this paper I want to suggest that he attributes an unmerited plausibility to this thesis, by giving a false picture of what one is committed to if one resists it. (shrink)

In his preface Mr Wilson writes 'I feel that a great many adults … would do better to spend less time in simply accepting the concepts of others uncritically, and more time in learning how to analyse concepts in general'. Mr Wilson starts by describing the techniques of conceptual analysis. He then gives examples of them in action by composing answers to specific questions and by criticism of quoted passages of argument. Chapter 3 sums up the importance of this kind (...) of mental activity. Chapter 4 presents selections for the reader to analyse, followed by questions of university entrance/scholarship type. This is a book to be worked through, in a sense a text-book. (shrink)

Foreword I. Critical rationalism is a genuinely new philosophical perspective. It is not, however, one systematic view. The development of it by Popper and ...

Everyone loves something or somebody, and most people are concerned with loving another person like themselves, all equal. This book is based on the belief that getting clear about the concept and meaning of love between equals is essential for success in our practical lives. For how can we love properly unless we have a fairly clear idea of what love is? The book is written in ordinary language and for the ordinary person, without jargon or philosophical technicalities. It aims (...) to show that love between equals involves a single basic disposition, though that disposition expresses itself in various ways. Thus, after an introduction explaining the need for analysis and clarification, the author then deals in order with love as desire or need; with intrinsic friendship and sharing the self; with basic difficulties concerning power, dependence, altruism and paranoia; with sex and erotic love; and finally with the value in human life of love between equals. The work as a whole gives clear, coherent and practical guidance for all who wish to grasp what such love is really like. (shrink)

The taxonomy and analysis of fallacies in Aristotle's Sophistical Refutations pre-date the formal logic of his Prior Analytics A4-6. Of the 64 fully described examples of ?sophistical refutations? which are fallacious because they are only apparently valid, 49 have the wrong number of premisses or the wrong form of premiss or conclusion for analysis by the Prior Analytics theory of the categorical syllogism. The rest Aristotle either frames so that they do not look like categorical syllogisms or analyses in a (...) quite different way than by categorical syllogistic. (shrink)

Ed. Daniel Greenberger, 750pp May 1995 164.95.

Recent work in psychology and experimental philosophy has shown that judgments of actual causation are often influenced by consideration of defaults, typicality, and normality. A number of philosophers and computer scientists have also suggested that an appeal to such factors can help deal with problems facing existing accounts of actual causation. This article develops a flexible formal framework for incorporating defaults, typicality, and normality into an account of actual causation. The resulting account takes actual causation to be both graded and (...) comparative. We then show how our account would handle a number of standard cases. 1 Introduction2 Causal Models3 The HP Definition of Actual Causation4 The Problem of Isomorphism5 Defaults, Typicality, and Normality6 Extended Causal Models7 Examples7.1 Omissions7.2 Knobe effects7.3 Causes versus background conditions7.4 Bogus prevention7.5 Causal chains7.6 Legal doctrines of intervening causes7.7 Pre-emption and short circuits8 Conclusion. (shrink)

John Webster provides a major scholarly analysis, the first in any language, of the final sections of the Church Dogmatics. He focuses on the theme of human agency in Barth's late ethics and doctrine of baptism, placing the discussion in the context of an interpretation of the Dogmatics as an intrinsically ethical dogmatics. The first two chapters survey the themes of agency, covenant and human reality in the Dogmatics as a whole; later chapters give a thorough analysis of Church (...) Dogmatics IV/4 and the posthumously published text The Christian Life. A final chapter examines the significance of Barth's work for contemporary accounts of moral selfhood. The book is important not only for a detailed analysis of a neglected part of Barth's oeuvre, but also because it casts into question much of what has hitherto been written about Barth's ethical dogmatics. (shrink)

Much of the philosophical literature on causation has focused on the concept of actual causation, sometimes called token causation. In particular, it is this notion of actual causation that many philosophical theories of causation have attempted to capture.2 In this paper, we address the question: what purpose does this concept serve? As we shall see in the next section, one does not need this concept for purposes of prediction or rational deliberation. What then could the purpose be? We will argue (...) that one can gain an important clue here by looking at the ways in which causal judgments are shaped by people‘s understanding of norms. (shrink)

I argue that incomprehensibility (what the ancient skeptics called acatalepsia) plays a central role in the skepticism of both Bayle and Hume. I challenge a commonly held view (recently argued by Todd Ryan) that Hume, unlike Bayle, does not present oppositions of reason--what Kant called antimonies.

Judea Pearl has been at the forefront of research in the burgeoning field of causal modeling, and Causality is the culmination of his work over the last dozen or so years. For philosophers of science with a serious interest in causal modeling, Causality is simply mandatory reading. Chapter 2, in particular, addresses many of the issues familiar from works such as Causation, Prediction and Search by Peter Spirtes, Clark Glymour, and Richard Scheines. But philosophers with a more general interest in (...) causation will also profit from reading Pearl’s book, especially the material in chapters 7, 9, and 10, which is self-contained and less technical than other parts of the book. The present review is aimed primarily at readers of the second type. (shrink)

Probability theory is a key tool of the physical, mathematical, and social sciences. It has also been playing an increasingly significant role in philosophy: in epistemology, philosophy of science, ethics, social philosophy, philosophy of religion, and elsewhere. This Handbook encapsulates and furthers the influence of philosophy on probability, and of probability on philosophy. Nearly forty articles summarise the state of play and present new insights in various areas of research at the intersection of these two fields. The articles will be (...) of special interest to practitioners of probability who seek a greater understanding of its mathematical and conceptual foundations, and to philosophers who want to get up to speed on the cutting edge of research in this area. The volume begins with a primer on those parts of probability theory that we believe are most important for philosophers to know, and the rest is divided into seven main sections: History; Formalism; Alternatives to Standard Probability Theory; Interpretations and Interpretive Issues; Probabilistic Judgment and Its Applications; Applications of Probability: Science; and Applications of Probability: Philosophy. (shrink)