The paper briefly surveys the sentential proof-theoretic semantics for fragment of English. Then, appealing to a version of Frege’s context-principle (specified to fit type-logical grammar), a method is presented for deriving proof-theoretic meanings for sub-sentential phrases, down to lexical units (words). The sentential meaning is decomposed according to the function-argument structure as determined by the type-logical grammar. In doing so, the paper presents a novel proof-theoretic interpretation of simple type, replacing Montague’s model-theoretic type interpretation (in arbitrary Henkin models). The domains (...) of derivations are collections of derivations in the associated “dedicated” natural-deduction proof-system, and functions therein (with no appeal to models, truth-values and elements of a domain). The compositionality of the semantics is analyzed. (shrink)

This chapter investigates how a reading of Wittgenstein along the lines laid out by Cora Diamond makes room for a novel approach to ethical truth. Following Diamond, I develop the connection between the kinds of elucidatory propositions by means of which we spell out and maintain the shape of our theoretical thinking, such as “‘someone’ is not the name of someone” and “five plus seven equals twelve,” and the kind of propositions by means of which we spell out and maintain (...) the shape of ethical thinking, such as “slavery is unjust.” As Diamond points out in connection with the last example, this is a proposition that we take to be an undeniable truth; for anyone who would attempt to negate it would become unintelligible to us. In this sense this ethical truth spells out the limits of ethical thinking. And yet what counts as coherent thought about such matters tends to shift over time. Indeed the great difficulty of overcoming ethical disagreements has to do with the fact that what is at stake in them is not just the content, but the form and limits of thought. Nonetheless, Diamond proposes that ethical propositions may count as genuine truths. For this to make sense, a middle path between realism and relativism must be found. In order to show how this is possible, and in order to defend Diamond’s view, I propose to approach ethical truth by means of a disjunctivist strategy. On this approach, while we, just as much as our interlocutor, may at times be misled in our ethical thinking, and while we may at times fail to shape our ethical thought in ways that prevent us from gaining clarity on ethical matters, this does not detract from the fact that we may at times be right, and that we may then genuinely possess ethical truth. (shrink)

Wittgenstein seeks to throw light on our concept of understanding by looking at how misunderstandings arise and what kinds of failure they involve. He discerns a peculiar sort of misunderstanding in the writings of the social anthropologist James Frazer. In Frazer’s hands, the anthropological project of enabling us to understand human behavior seems to yield the result that there are certain forms of human behavior that simply cannot be understood. The source of Frazer’s misunderstanding, according to Wittgenstein, is that he (...) places narrow requirements on what could count as meaningful, prior to and independently of his encounter with the subjects of his interpretation. Frazer, like some of the philosophers Wittgenstein addresses in his other works, succumbs to nonsense in his very attempt to draw the limits of sense. My aim in this chapter is to clarify the connections between Wittgenstein’s criticism of Frazer and his criticism of his fellow philosophers, in particular of Frege. The materials I draw on stem from various periods in Wittgenstein’s career, and they reveal, in my mind, an important continuity in Wittgenstein’s thought: addressing misunderstanding, in Wittgenstein’s view, is fundamentally an ethical problem, not a theoretical one. (shrink)

Wittgenstein’s Tractatus construes the nature of reasoning in a manner which sharply conflicts with the conventional wisdom that logic is normative, not descriptive of thought. For although we sometimes seem to reason incorrectly, Wittgenstein denies that we can make logical mistakes (5.473). My aim in this paper is to show that the Tractatus provides us with good reasons to rethink some of the central assumptions that are standardly made in thinking about the relation between logic and thought. In particular, the (...) rejection of logical mistakes is to be understood in connection with Wittgenstein’s non-psychological approach to the thinking subject (5.641). On Wittgenstein's view, inference, understanding, and meaning are holistically related; cases of defective reasoning are to be explained in terms of a defective grasp of meaning which manifests in an indeterminate use of signs. Invalid reasoning therefore does not count for Wittgenstein as a species of reasoning, but rather as the mere illusion of reasoning. The rejection of logical mistakes thus gives voice to a radical disjunctivist approach. (shrink)

The notion of the riddle plays a pivotal role in Wittgenstein’s Tractatus . By examining the comparisons he draws between philosophical problems and riddles, this paper offers a reassessment of the aims and methods of the book. Solving an ordinary riddle does not consist in learning a new fact; what it requires is that we transform the way we use words. Similarly, Wittgenstein proposes to transform the way philosophers understand the nature of their problems. But since he holds that these (...) problems are ultimately unsolvable, rather than attempting to solve the riddles of philosophy, he aims to dissolve them. (shrink)

The fundamental error of the metaphysical tradition, according to Heidegger, is the subordination of general ontology to the ontology of a special, exemplary entity (God, the soul, etc.). But Being and Time itself treats one kind of entity as exemplary, namely Dasein. Does this mean that Heidegger fails to free himself from the kind of metaphysics that he sought to criticize? To show how he avoids this charge I propose to examine the parallels between the methodology of Being and Time (...) and the methodology Heidegger ascribes to Aristotle's Metaphysics. Heidegger takes the virtue of Aristotle's inquiry to reside in the way he resists the subordination of general to special ontology: Aristotle was guided by a "double concept" of metaphysics, pursued two irreducibly distinct methods of inquiry, and avoided the temptation to unite them. In proposing to similarly pursue a "double task" in Being and Time Heidegger seeks to apply this insight to his own work. Alongside the task of fundamental ontology, Heidegger spells out the shape of a second task, Destruktion, understood as a historical critique that traces ontological concepts back to their ontic roots. But Destruktion is not a mere addendum to fundamental ontology; the two tasks are meant to counterbalance one another and thereby prevent the collapse of the ontological difference between being and beings. Indeed, Heidegger proposes to apply Destruktion to the results of his own fundamental ontology. He hopes to thereby achieve a transformation of the philosophical attitude which underpins the metaphysical tradition. (shrink)

By means of a reductio argument, Wittgenstein’s Tractatus calls into question the very idea that we can represent logical form. My paper addresses three interrelated questions: first, what conception of logical form is at issue in this argument? Second, whose conception of logic is this argument intended to undermine? And third, what could count as an adequate response to it? I show that the argument construes logical form as the universal, underlying correlation of any representation and the reality it represents. (...) I further show that the argument seeks to undermine core commitments of Frege’s and Russell’s. But the reductio, as I read it, is not intended to establish the falsity of any of their specific assumptions. Rather, its aim is to make manifest the indeterminacies that underlie the language in which these assumptions are framed, and establish the need for a transformation of that language. So understood, Wittgenstein’s argument exemplifies his idea that philosophy is not a theory, but an activity of elucidation. The interpretation I propose bears on one of the central debates in the literature, namely how we should understand Wittgenstein’s contention that his elucidations succeed despite being nonsensical. (shrink)

ALL THE MORE, by Avi Sion, Ph.D., comprises a merged list of 72 qal vachomer arguments in the Tanakh, i.e. of a fortiori arguments in the Hebrew Bible. This listing brings together lists proposed in past rabbinic literature and in more recent studies by the author. The literature research for it was carried out mainly by R. Yaakov Gabay, who looked into works in Hebrew by five rabbis who had proposed lists, namely: R. Shmuel Yaffe Ashkenazi (Yefeh Toar, 1597), R. (...) Zvi Hirsch Katzenellenbogen (Netivot Olam, 1822), R. Zeev Wolf Einhorn (Midrash Tannaim, 1839), R. Mattityahu Strashun (Mattat Yah, 1892), R. Chaim Hirschensohn (Berure HaMidot, 1928). The author of the present essay brought additional information from the Tanakh commentary of R. Shlomo Yitzchaki (Rashi, 11th Cent.) and an essay by R. Louis Jacobs (2005), as well as from his own past works (Judaic Logic, 1995, and A Fortiori Logic, 2013). The information thus gathered is here presented in a systematic manner, after careful evaluation by the author of each case with reference to narrative context, language used, and logical form. Efforts are made to identify which cases were known to each of the past authors, and to determine who found each case first and whether subsequent listings of the case (if any) were independent or derivative. (shrink)

Exposing Fake Logic by Avi Sion is a collection of essays written after publication of his book A Fortiori Logic, in which he critically responds to derivative work by other authors who claim to know better. This is more than just polemics; but allows further clarifications of a fortiori logic and of general logic. This collection includes essays on: a fortiori argument (in general and in Judaism); Luis Duarte D’Almeida; Mahmoud Zeraatpishe; Michael Avraham (et al.); an anonymous reviewer of BDD (...) (a Bar Ilan University journal); and self-publishing. (shrink)

Both Heidegger and Wittgenstein consider the possibility of a philosophical inquiry of an absolutely universal scope—an inquiry into the being of all beings, in Heidegger’s case, and into the logical form of everything that can be meaningfully said, in Wittgenstein’s. Moreover, they both raise the worry that the theoretical language by means of which we speak of particular beings and assert particular facts is not suited to this task. And yet their own philosophical work seems to include many assertions of (...) ordinary, theoretical language. Are they being inconsistent? Or are they hoping to use theoretical language in a way that conveys what cannot be said in that language? Much of the scholarship on each of these thinkers takes the form of one of the two horns of this dilemma. In the context of Wittgenstein scholarship, however, a third alternative has been proposed: the Resolute Reading of the Tractatus. My aim is to establish the availability of a similar solution to Heidegger’s predicament. It will emerge that Heidegger rejects the possibility of a theoretical account of being and pursues a project of a radically different sort, whose goal is to bring about a transformation of our fundamental relation to being. (shrink)

The Art of Logic by Avi Sion is a collection of recent essays on various topics in logic theory and in applied logic. The same faculty and art of logic is called for in formulating theoretical logic and in applying its findings to diverse fields. The essays here collected deal with some very important issues in logic, philosophy, and spirituality, which he had not previously treated in as much detail if at all.

We linked between the social-psychology and experimental-philosophy paradigms for the study of folk intuitions and beliefs regarding the concept of free will to answer three questions: (1) what intuitions do people have about free-will and determinism? (2) do free will beliefs predict differences in free-will and determinism intuitions? and (3) is there more to free-will and determinism than experiencing certainty or uncertainty about the nature of the universe? Overall, laypersons viewed the universe as allowing for human indeterminism, and they did (...) so with certainty. Examining intuitions of prosociality, future-orientation, learning, meaningfulness, human uniqueness, and well-being, ratings were highest in the indeterministic universe condition and lowest in the deterministic universe condition, both significantly different from the uncertain universe condition. Participants’ free will beliefs had only weak impact on realism, happiness, and learning intuitions, but did not reverse the general intuition favoring indeterminism, and showed no impact on other intuitions. (shrink)

This paper defends the view, put roughly, that to think that p is to guess that p is the answer to the question at hand, and that to think that p rationally is for one’s guess to that question to be in a certain sense non-arbitrary. Some theses that will be argued for along the way include: that thinking is question-sensitive and, correspondingly, that ‘thinks’ is context-sensitive; that it can be rational to think that p while having arbitrarily low credence (...) that p; that, nonetheless, rational thinking is closed under entailment; that thinking does not supervene on credence; and that in many cases what one thinks on certain matters is, in a very literal sense, a choice. Finally, since there are strong reasons to believe that thinking just is believing, there are strong reasons to think that all this goes for belief as well. (shrink)

The Epicurean account of the origin of language appealed to eighteenth-century thinkers who tried to reconcile a natural history of language with

the biblical account of Adamic name-giving. As a third way between Aristotelian linguistic conventionality and what was perceived as a Platonic supernatural congruence between words and things, Epicurus’

theory allowed for a measure of contingency to emerge in the evolution of initially natural signs. This hypothesis was taken up by authors as different from one another as Leibniz, Vico, Condillac and (...) Mendelssohn. By integrating the Epicurean account of language into their own theories, however, these authors also revived the tensions inherent in the ancient thesis and had to confront the ensuing difficulties in innovative ways. (shrink)

The self-fashioning of French Newtonianism Content Type Journal Article DOI 10.1007/s11016-010-9511-3 Authors Charles T. Wolfe, Unit for History and Philosophy of Science, University of Sydney, Sydney, NSW 2006, Australia David Gilad, Unit for History and Philosophy of Science, University of Sydney, Sydney, NSW 2006, Australia Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

In Tractatus 5.132 Wittgenstein argues that inferential justification depends solely on the understanding of the premises and conclusion, and is not mediated by any further act. On this basis he argues that Frege’s and Russell’s rules of inference are “senseless” and “superfluous”. This line of argument is puzzling, since it is unclear that there could be any viable account of inference according to which no such mediation takes place. I show that Wittgenstein’s rejection of rules of inference can be motivated (...) by taking account of his holistic construal of the relation between inference and understanding. (shrink)

Ruminations is a collection of sundry notes and essays on Logic. These complement and enrich the author’s past writings, further analyzing or reviewing certain issues. Among the many topics covered are: the importance of the laws of thought, and how they are applied using the logic of paradox; details of formal logic, including some important new insights on the nesting, merger and splitting up of hypothetical propositions; details of causal logic, including analogical reasoning from cause to cause; a cutting-edge phenomenological (...) analysis of negation. Additionally, this volume is used to publish a number of notes and essays previously only posted in his Internet site, including a history of Jewish logic and an analysis of Islamic logic. (shrink)

In this rejoinder to Ben Colburn, I (1) further press, while modulating, my charge that his autonomy-minded anti-perfectionism is insufficiently novel, (2) articulate a new and distinct worry about the formal analysis that is at the center of his argument, and (3) enhance my criticism that the view Colburn defends is too permissive.

Norm theory (Kahneman & Miller, 1986) described a tendency for people to associate stronger regret with a negative outcome when it is a result of an exception (abnormal behavior) compared to when it is a result of routine (normal behavior). In two pre-registered studies, we conducted a replication and extension of three classic experiments on past behavior exception/routine contrasts (N = 684). We successfully replicated Kahneman and Miller’s (1986) experiments with the classic hitchhiker-scenario (Part 1) and car accident-scenario (Part 2). (...) In both cases, participants examined negative outcomes and tended to indicate a protagonist who deviated from own past behavior as more regretful than another who followed routine. Pre-registered extensions also showed effects for ratings of social norms, negative affect, and perceived luck. We did not find support for the Miller and McFarland (1986) experiment robbery scenario (Part 3) using a compensation measure, in that compensation to a victim of a robbery was not significantly different comparing exceptional and routine circumstances. However, a pre-registered extension showed that robbery under exceptional circumstances was regretted more than robbery under routine circumstances. We discuss implications for current and future research. (shrink)

A belief in a firm correspondence between objects, ideas, and their representation in language pervaded the works of Anne Robert Jacques Turgot

(1727–1781) in 1750. This conviction is particularly manifest in Turgot’s sharp critique of Berkeley’s philosophical system and his remarks on Maupertuis’s reconstruction of the origin of language. During the 1750s Turgot’s epistemological views underwent a change, apparent in two of his contributions to the Encyclopédie: the entries Existence and Étymologie (1756). These articles included a reassessment of Berkeleyan immaterialism, facing (...) an ultimate crisis of definition and representation. A similar development may be traced in contemporary works by Condillac and Diderot. Turgot’s Encyclopédie entries also envisaged a new science, an archeology of the human mind aided by the examination of linguistic development and change. This entailed the scientific verification of conjectures in any historical account of ideas, turning etymological

and psychological inquiries into what Turgot termed ‘experimental metaphysics’. (shrink)

In July 1759 the French philosopher Andre´ Pierre Le Guay de Prémontval (1716-1764) published in Berlin a diatribe against the excessive and incorrect use of French in the Prussian capital. Far from being a mere guide to linguistic style, the Préservatif contre la corruption de la langue françoise generated a heated debate, attested by an official threat to ban its publication. The personal animosity between Prémontval and the perpetual secretary of the Berlin Academy, Jean Henri Samuel Formey (1711-1797) was amply (...) demonstrated over the pages of the Préservatif, offering a rare insight into the complex web of social and intellectual tensions in mid eighteenth-century Berlin and its Academy of Sciences. At stake were the social status and the philosophical outlook of local Huguenots, compared to that of French philosophers who were granted asylum in Prussia by Frederick II. The debate also concerned the issues of academic freedom in an absolutist regime, the material production and distribution of texts, conduct and etiquette in the Republic of Letters and the formation of group identities in eighteenth-century Germany. Drawing on manuscripts preserved in Berlin, Göttingen and Krakow, this article traces the development of the controversy and the reception of Prémontval’s work by both French- and German- writing authors at the Berlin Academy and beyond its confines. (shrink)

A Fortiori Logic: Innovations, History and Assessments is a wide-ranging and in-depth study of a fortiori reasoning, comprising a great many new theoretical insights into such argument, a history of its use and discussion from antiquity to the present day, and critical analyses of the main attempts at its elucidation. Its purpose is nothing less than to lay the foundations for a new branch of logic and greatly develop it; and thus to once and for all dispel the many fallacious (...) ideas circulating regarding the nature of a fortiori reasoning. -/- The work is divided into three parts. The first part, Formalities, presents the author’s largely original theory of a fortiori argument, in all its forms and varieties. Its four (or eight) principal moods are analyzed in great detail and formally validated, and secondary moods are derived from them. A crescendo argument is distinguished from purely a fortiori argument, and similarly analyzed and validated. These argument forms are clearly distinguished from the pro rata and analogical forms of argument. Moreover, we examine the wide range of a fortiori argument; the possibilities of quantifying it; the formal interrelationships of its various moods; and their relationships to syllogistic and analogical reasoning. Although a fortiori argument is shown to be deductive, inductive forms of it are acknowledged and explained. Although a fortiori argument is essentially ontical in character, more specifically logical-epistemic and ethical-legal variants of it are acknowledged. -/- The second part of the work, Ancient and Medieval History, looks into use and discussion of a fortiori argument in Greece and Rome, in the Talmud, among post-Talmudic rabbis, and in Christian, Moslem, Chinese and Indian sources. Aristotle’s approach to a fortiori argument is described and evaluated. There is a thorough analysis of the Mishnaic qal vachomer argument, and a reassessment of the dayo principle relating to it, as well as of the Gemara’s later take on these topics. The valuable contribution, much later, by Moshe Chaim Luzzatto is duly acknowledged. Lists are drawn up of the use of a fortiori argument in the Jewish Bible, the Mishna, the works of Plato and Aristotle, the Christian Bible and the Koran; and the specific moods used are identified. Moreover, there is a pilot study of the use of a fortiori argument in the Gemara, with reference to Rodkinson’s partial edition of the Babylonian Talmud, setting detailed methodological guidelines for a fuller study. There is also a novel, detailed study of logic in general in the Torah. -/- The third part of the present work, Modern and Contemporary Authors, describes and evaluates the work of numerous (some thirty) recent contributors to a fortiori logic, as well as the articles on the subject in certain lexicons. Here, we discover that whereas a few authors in the last century or so made some significant contributions to the field, most of them shot woefully off-target in various ways. The work of each author, whether famous or unknown, is examined in detail in a dedicated chapter, or at least in a section; and his ideas on the subject are carefully weighed. The variety of theories that have been proposed is impressive, and stands witness to the complexity and elusiveness of the subject, and to the crying need for the present critical and integrative study. But whatever the intrinsic value of each work, it must be realized that even errors and lacunae are interesting because they teach us how not to proceed. -/- This book also contains, in a final appendix, some valuable contributions to general logic, including new analyses of symbolization and axiomatization, existential import, the tetralemma, the Liar paradox and the Russell paradox. (shrink)

Power metaphysicians are concerned with, well, powers. Theists claim interest in the most powerful entity there is, God. As such, recent work on the ontology of powers may well have much to offer theists when thinking about God’s power. In this paper I start to provide a metaphysics of God’s ‘power’, something many definitions of omnipotence make reference to. In particular I will be interested in explicating how a power ontology can account for the strength and range of God’s power, (...) as well as showing how this account of divine power can fit with a timeless conception of God. (shrink)

This paper considers some puzzling knowledge ascriptions and argues that they present prima facie counterexamples to credence, belief, and justification conditions on knowledge, as well as to many of the standard meta-semantic assumptions about the context-sensitivity of ‘know’. It argues that these ascriptions provide new evidence in favor of contextualist theories of knowledge—in particular those that take the interpretation of ‘know’ to be sensitive to the mechanisms of constraint.

Decision-making Capacity matters to whether a patient’s decision should determine her treatment. But why it matters in this way isn’t clear. The standard story is that dmc matters because autonomy matters. And this is thought to justify dmc as a gatekeeper for autonomy – whereby autonomy concerns arise if but only if a patient has dmc. But appeals to autonomy invoke two distinct concerns: concern for authenticity – concern that a choice is consistent with an individual’s commitments; and concern for (...) sovereignty – concern that an individual exercises control over that which is hers to control. Here, I argue, neither concern can alone explain why dmc matters. Instead, dmc matters because it indicates a harmony between the two concerns – the demands of each concern are more likely to agree if a patient has dmc. This vindicates the standard story, but also makes clear that dmc is an inappropriate gatekeeper for autonomy. (shrink)

It is a platitude that whereas language is mediated by convention, depiction is mediated by resemblance. But this platitude may be attacked on the grounds that resemblance is either insufficient for or incidental to depictive representation. I defend common sense from this attack by using Grice's analysis of meaning to specify the non-incidental role of resemblance in depictive representation.

The evil God challenge is an argumentative strategy that has been pursued by a number of philosophers in recent years. It is apt to be understood as a parody argument: a wholly evil, omnipotent and omniscient God is absurd, as both theists and atheists will agree. But according to the challenge, belief in evil God is about as reasonable as belief in a wholly good, omnipotent and omniscient God; the two hypotheses are roughly epistemically symmetrical. Given this symmetry, thesis belief (...) in an evil God and belief in a good God are taken to be similarly preposterous. In this paper, we argue that the challenge can be met, suggesting why the three symmetries that need to hold between evil God and good God – intrinsic, natural theology and theodicy symmetries – can all be broken. As such, we take it that the evil God challenge can be met. (shrink)

A puzzling feature of paradigmatic cases of dehumanization is that the perpetrators often attribute uniquely human traits to their victims. This has become known as the “paradox of dehumanization.” We address the paradox by arguing that the perpetrators think of their victims as human in one sense, while denying that they are human in another sense. We do so by providing evidence that people harbor a dual character concept of humanity. Research has found that dual character concepts have two independent (...) sets of criteria for their application, one of which is descriptive and one of which is normative. Across four experiments, we found evidence that people deploy a descriptive criterion according to which being human is a matter of being a Homo sapiens; as well as a normative criterion according to which being human is a matter of possessing a deep-seated commitment to do the morally right thing. Importantly, we found that people are willing to affirm that someone is human in the descriptive sense, while denying that they are human in the normative sense, and vice versa. In addition to providing a solution to the paradox of dehumanization, these findings suggest that perceptions of moral character have a central role to play in driving dehumanization. (shrink)

The Logic of Analogy is a study of the valid logical forms of qualitative and quantitative analogical argument, and the rules pertaining to them. It investigates equally valid conflicting arguments, statistics-based arguments and their utility in science, arguments from precedent used in law-making or law-application, and examines subsumption in analogical terms. Included for purposes of illustration is a large section on Talmudic use of analogical reasoning.

There is this view propounded by some theorists which claims that some conceptions of the nature of time are incompatible with the Christian position on the defeat of evil. The aim of this article is twofold. First, to clarify exactly which thesis about time’s nature is taken to be problematic for the defeat of evil. And second, to show that scriptural support for understanding the defeat of evil as requiring that evil not be in the range of the existential quantifier, (...) something implicitly contended by those who put forward this problem, is weak and that these passages can be read in plausible ways which are affirmable by those who endorse the ‘problematic’ thesis. (shrink)

Inductive Logic is a ‘thematic compilation’ by Avi Sion. It collects in one volume many (though not all) of the essays, that he has written on this subject over a period of some 23 years, which all demonstrate the possibility and conditions of validity of human knowledge, the utility and reliability of human cognitive means when properly used, contrary to the skeptical assumptions that are nowadays fashionable. A new essay, The Logic of Analogy, was added in 2022.

Logical Criticism of Buddhist Doctrines is a ‘thematic compilation’ by Avi Sion. It collects in one volume the essays that he has written on this subject over a period of some 15 years after the publication of his first book on Buddhism, Buddhist Illogic. It comprises expositions and empirical and logical critiques of many (though not all) Buddhist doctrines, such as impermanence, interdependence, emptiness, the denial of self or soul. It includes his most recent essay, regarding the five skandhas doctrine.

Logic in the Torah is a ‘thematic compilation’ by Avi Sion. It collects in one volume essays that he has written on this subject in Judaic Logic (1995) and A Fortiori Logic (2013), in which traces of logic in the Torah and related religious documents (the Nakh, the Christian Bible, and the Koran and Hadiths) are identified and analyzed.

Logic in the Talmud is a ‘thematic compilation’ by Avi Sion. It collects in one volume essays that he has written on this subject in Judaic Logic (1995) and A Fortiori Logic (2013), in which traces of logic in the Talmud (the Mishna and Gemara) are identified and analyzed. While this book does not constitute an exhaustive study of logic in the Talmud, it is a ground-breaking and extensive study. A new essay, The Logic of Analogy, was added in 2022.

Paradoxes and their Resolutions is a ‘thematic compilation’ by Avi Sion. It collects in one volume the essays that he has written in the past (over a period of some 27 years) on this subject. It comprises expositions and resolutions of many (though not all) ancient and modern paradoxes, including: the Protagoras-Euathlus paradox (Athens, 5th Cent. BCE), the Liar paradox and the Sorites paradox (both attributed to Eubulides of Miletus, 4th Cent. BCE), Russell’s paradox (UK, 1901) and its derivatives the (...) Barber paradox and the Master Catalogue paradox (also by Russell), Grelling’s paradox (Germany, 1908), Hempel's paradox of confirmation (USA, 1940s), and Goodman’s paradox of prediction (USA, 1955). This volume also presents and comments on some of the antinomic discourse found in some Buddhist texts (namely, in Nagarjuna, India, 2nd Cent. CE; and in the Diamond Sutra, date unknown, but probably in an early century CE). (shrink)

One prominent argument in international law and religious thought for abolishing capital punishment is that it violates individuals’ right to life. Notably, this _right-to-life argument_ emerged from normative and legal frameworks that recognize deadly force against aggressors as justified when necessary to stop their unjust threat of grave harm. Can capital punishment be necessary in this sense—and thus justified defensive killing? If so, the right-to-life argument would have to admit certain exceptions where executions are justified. Drawing on work by Hugo (...) Bedau, I identify a thought experiment where executions are justified defensive killing but explain why they cannot be in our world. A state’s obligations to its prisoners include the _obligation to use nonlethal incapacitation_ (ONI), which applies as long as prisoners pose no imminent threat. ONI precludes executions for reasons of future dangerousness. By subjecting the right-to-life argument to closer scrutiny, this article ultimately places it on firmer ground. (shrink)

What is it for a life to be meaningful? In this article, I defend what I call Consequentialism about Meaning in Life, the view that one's life is meaningful at time t just in case one's surviving at t would be good in some way, and one's life was meaningful considered as a whole just in case the world was made better in some way for one's having existed.

This article explains and defends a novel idea about how people can be misled by a discussion topic, even if the discussion itself does not explicitly involve the making of false claims. The crucial aspect of this idea is that people are liable to infer, from the fact that a particular topic is being discussed, that this topic is important. As a result, they may then be led to accept certain beliefs about the state of the world they consider necessary (...) for the topic’s importance. What the article calls “importance misrepresentation” occurs when these beliefs about the state of the world are false or otherwise mistaken. The article explores different ways in which importance misrepresentation can occur, and it uses this idea to help clarify and strengthen some well‐known criticisms of the topic choices of academic philosophers. (shrink)

In the accepted view, the basic disposition of believers is one of absolute obedience, humility, and lack of critique, doubt, or, indeed, defiance of God. Only through such a disposition do believers convey their absolute faith and establish the appropriate hierarchy between God and humans. This article challenges this view and argues that, in mainstream rabbinic tradition, the believer is not required to renounce his or her moral autonomy and certainly not his or her understanding of God and the world. (...) Indeed, faith rests on such understanding; moreover, human autonomy is the mechanism through which humans convey God’s goodness and perfection. Their questions and criticism are part of a persistent effort to close the evident gap between their assumptions about God’s goodness and the flawed imperfect reality. The analysis focuses on rabbinic tradition but its implications go beyond it, presenting a model of a life of faith that compels subjects, as believers, to preserve their constitutive foundations as rational autonomous creatures. (shrink)

This article identifies an argument in Hobbes’s writings often overlooked but relevant to current philosophical debates. Political philosophers tend to categorize his thought as representing consent or rescue theories of political authority. Though these interpretations have textual support and are understandable, they leave out one of his most compelling arguments – what we call the lesser evil argument for political authority, expressed most explicitly in Chapter 20 of Leviathan. Hobbes frankly admits the state’s evils but appeals to the significant disparity (...) between those evils and the greater evils outside the state as a basis for political authority. More than a passing observation, aspects of the lesser evil argument appear in each of his three major political works. In addition to outlining this argument, the article examines its significance both for Hobbes scholarship and recent philosophical debates on political authority. (shrink)

Judaic Logic is an original inquiry into the forms of thought determining Jewish law and belief, from the impartial perspective of a logician. Judaic Logic attempts to honestly estimate the extent to which the logic employed within Judaism fits into the general norms, and whether it has any contributions to make to them. The author ranges far and wide in Jewish lore, finding clear evidence of both inductive and deductive reasoning in the Torah and other books of the Bible, and (...) analyzing the methodology of the Talmud and other Rabbinic literature by means of formal tools which make possible its objective evaluation with reference to scientific logic. The result is a highly innovative work – incisive and open, free of clichés or manipulation. Judaic Logic succeeds in translating vague and confusing interpretative principles and examples into formulas with the clarity and precision of Aristotelean syllogism. Among the positive outcomes, for logic in general, are a thorough listing, analysis and validation of the various forms of a-fortiori argument, as well as a clarification of dialectic logic. However, on the negative side, this demystification of Talmudic/Rabbinic modes of thought (hermeneutic and heuristic) reveals most of them to be, contrary to the boasts of orthodox commentators, far from deductive and certain. They are often, legitimately enough, inductive. But they are also often unnatural and arbitrary constructs, supported by unverifiable claims and fallacious techniques. Many other thought-processes, used but not noticed or discussed by the Rabbis, are identified in this treatise, and subjected to logical review. Various more or less explicit Rabbinic doctrines, which have logical significance, are also examined in it. In particular, this work includes a formal study of the ethical logic (deontology) found in Jewish law, to elicit both its universal aspects and its peculiarities. With regard to Biblical studies, one notable finding is an explicit formulation (which, however, the Rabbis failed to take note of and stress) of the principles of adduction in the Torah, written long before the acknowledgement of these principles in Western philosophy and their assimilation in a developed theory of knowledge. Another surprise is that, in contrast to Midrashic claims, the Tanakh (Jewish Bible) contains a lot more than ten instances of qal vachomer (a-fortiori) reasoning. In sum, Judaic Logic elucidates and evaluates the epistemological assumptions which have generated the Halakhah (Jewish religious jurisprudence) and allied doctrines. Traditional justifications, or rationalizations, concerning Judaic law and belief, are carefully dissected and weighed at the level of logical process and structure, without concern for content. This foundational approach, devoid of any critical or supportive bias, clears the way for a timely reassessment of orthodox Judaism (and incidentally, other religious systems, by means of analogies or contrasts). Judaic Logic ought, therefore, to be read by all Halakhists, as well as Bible and Talmud scholars and students; and also by everyone interested in the theory, practise and history of logic. (shrink)

Answers to the questions of what justifies conscientious objection in medicine in general and which specific objections should be respected have proven to be elusive. In this paper, I develop a new framework for conscientious objection in medicine that is based on the idea that conscience can express true moral claims. I draw on one of the historical roots, found in Adam Smith’s impartial spectator account, of the idea that an agent’s conscience can determine the correct moral norms, even if (...) the agent’s society has endorsed different norms. In particular, I argue that when a medical professional is reasoning from the standpoint of an impartial spectator, his or her claims of conscience are true, or at least approximate moral truth to the greatest degree possible for creatures like us, and should thus be respected. In addition to providing a justification for conscientious objection in medicine by appealing to the potential truth of the objection, the account advances the debate regarding the integrity and toleration justifications for conscientious objection, since the standard of the impartial spectator specifies the boundaries of legitimate appeals to moral integrity and toleration. The impartial spectator also provides a standpoint of shared deliberation and public reasons, from which a conscientious objector can make their case in terms that other people who adopt this standpoint can and should accept, thus offering a standard fitting to liberal democracies. (shrink)

This paper argues against definitions of depiction in terms of the syntactic and semantic properties of symbol systems. In particular, it is argued that John Kulvicki's definition of depictive symbol systems in terms of relative repleteness, semantic richness, syntactic sensitivity and transparency is susceptible to similar counterexamples as Nelson Goodman's in terms of syntactic density, semantic density and relative repleteness. The general moral drawn is that defining depiction requires attention not merely to descriptive questions about syntax and semantics, but also (...) to foundational questions about what makes it the case that depictions have the syntactic and semantic properties they do. (shrink)

This paper defends the simple view that in asserting that p, one lies iff one knows that p is false. Along the way it draws some morals about deception, knowledge, Gettier cases, belief, assertion, and the relationship between first- and higher-order norms.

My question in the chapter is this: could (and should) the role of the physician be construed as that of a friend to the patient? I begin by briefly discussing the “friendship model” of the physician-patient relationship—according to which physicians and patients could, and perhaps should, be friends—as well as its history and limitations. Given these limitations, I focus on the more one-sided idea that the physician could, and perhaps should, be a friend to the patient (a “physician-qua-friend model” of (...) the physician-patient relationship). I show that given recent developments in our understanding of the physician-patient relationship, this idea is far from asinine. I then make the case that the most plausible conception of the physician-qua-friend model incorporates the following components: (a) a common goal, that is, one that physician and patient share; (b) certain forms of equality between physician and patient; (c) an ideal of a caring physician. Finally, I show how the model can be instantiated in a certain type of physician-patient interaction, namely, in physician-assisted dying. (shrink)

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)

Buddhist Illogic. The 2nd Century CE Indian philosopher Nagarjuna founded the Madhyamika (Middle Way) school of Mahayana Buddhism, which strongly influenced Chinese, Korean and Japanese (Ch’an or Zen) Buddhism, as well as Tibetan Buddhism. Nagarjuna is regarded by many Buddhist writers to this day as a very important philosopher, who they claim definitively proved the futility of ordinary human cognitive means. His writings include a series of arguments purporting to show the illogic of logic, the absurdity of reason. He considers (...) this the way to verbalize and justify the Buddhist doctrine of “emptiness” (Shunyata). These arguments attack some of the basic tenets and techniques of reasoning, such as the laws of thought (identity, non-contradiction and the excluded middle), conceptualization and predication, our common assumptions of self, entities and essences, as well as our beliefs in motion and causation. The present essay demonstrates the many sophistries involved in Nagarjuna’s arguments. He uses double standards, applying or ignoring the laws of thought and other norms as convenient to his goals; he manipulates his readers, by giving seemingly logical form (like the dilemma) to his discourse, while in fact engaged in non-sequiturs or appealing to doubtful premises; he plays with words, relying on unclear terminology, misleading equivocations and unfair fixations of meaning; and he ‘steals concepts’, using them to deny the very percepts on which they are based. Although a critique of the Madhyamika philosophical interpretation and defense of “emptiness”, Buddhist Illogic is not intended to dissuade readers from Buddhism. On the contrary, its aim to enhance personal awareness of actual cognitive processes, and so improve meditation. It is also an excellent primer on phenomenological epistemology. (shrink)

Logical and Spiritual Reflections is a collection of six shorter philosophical works, including: Hume’s Problems with Induction; A Short Critique of Kant’s Unreason; In Defense of Aristotle’s Laws of Thought; More Meditations; Zen Judaism; No to Sodom. Of these works, the first set of three constitutes the Logical Reflections, and the second set constitutes the Spiritual Reflections. Hume’s Problems with Induction, which is intended to describe and refute some of the main doubts and objections David Hume raised with regard to (...) inductive reasoning. It replaces the so-called problem of induction with a principle of induction. David Hume’s notorious skepticism was based on errors of observation and reasoning, with regard to induction, causation, necessity, the self and freewill. These are here pointed out and critically analyzed in detail – and more accurate and logical theories are proposed. The present work also includes refutations of Hempel’s and Goodman’s alleged paradoxes of induction. A Short Critique of Kant’s Unreason, which is a brief critical analysis of some of the salient epistemological and ontological ideas and theses in Immanuel Kant’s famous Critique of Pure Reason. It shows that Kant was in no position to criticize reason, because he neither sufficiently understood its workings nor had the logical tools needed for the task. Kant’s transcendental reality, his analytic-synthetic dichotomy, his views on experience and concept formation, and on the forms of sensibility (space and time) and understanding (his twelve categories), are here all subjected to rigorous logical evaluation and found deeply flawed – and more coherent theories are proposed in their stead. In Defense of Aristotle’s Laws of Thought, which addresses, from a phenomenological standpoint, numerous modern and Buddhist objections and misconceptions regarding the basic principles of Aristotelian logic. Many people seem to be attacking Aristotle’s Laws of Thought nowadays, some coming from the West and some from the East. It is important to review and refute such ideas as they arise. More Meditations, which is a sequel to the author’s earlier work, Meditations. It proposes additional practical methods and theoretical insights relating to meditation and Buddhism. It also discusses certain often glossed over issues relating to Buddhism – notably, historicity, idolatry, messianism, importation to the West. Zen Judaism, which is a frank reflection on the tensions between reason and faith in today’s context of knowledge, and on the need to inject Zen-like meditation into Judaism. This work also treats some issues in ethics and theodicy. No to Sodom, which is an essay against homosexuality, using biological, psychological, spiritual, ethical and political arguments. (shrink)

Meditations. A meditation is a voluntary exercise intended to increase awareness, sustained over some time. The main purpose of the present Meditations is to inspire and assist readers to practice meditation of some sort, and in particular ‘sitting meditation’. This includes practices such as: observing the mechanisms of one’s thinking, stopping unnecessary thought, forgetting things about one’s self and one’s life that are irrelevant to the current effort of meditation, dealing with distractions, becoming aware of one’s breath, being here and (...) now. After such practice for some time, one gets to realize the value of meditation, and one’s commitment to it grows. The need for behavioral improvement becomes more and more obvious, and one finds it easy and natural to put more discipline into one’s life. Various recommendations are given in this regard. Prior to such practical guidance, so as to prepare the reader for it, the book reviews the theoretical teachings relating to meditation in the main traditions of mankind. The ultimate goals of meditation, the various methods or techniques used to achieve them, the experiential results of meditation, and the interpretations given to them, are topics treated here. (shrink)

Phenomenology is the study of appearance as such. It is a branch of both Ontology and Epistemology, since appearing is being known. By an ‘appearance’ is meant any existent which impinges on consciousness, anything cognized, irrespective of any judgment as to whether it be ‘real’ or ‘illusory.’ The evaluation of a particular appearance as a reality or an illusion is a complex process, involving inductive and deductive logical principles and activities. Opinion has to earn the status of strict knowledge. Knowledge (...) develops from appearances, which may be: (a) objects of perception, i.e. concrete phenomena in the physical or mental domains; (b) objects of intuition, i.e. one’s subjective self, cognitions, volitions and valuations (non-phenomenal concretes); and/or (c) objects of conception, i.e. simple or complex abstracts of preceding appearances. Abstraction relies on apprehensions of sameness and difference between appearances (including received or projected appearances, and projected negations of appearances). Coherence in knowledge (perceptual, intuitive and conceptual) is maintained by apprehensions of compatibility or incompatibility. Words facilitate our construction of conceptual knowledge, thanks to their intentionality. The abstract concepts most words intend are common characters or behaviors of particulars (concrete material, mental or subjective experiences). Granting everything in the world is reducible to waves, ‘universals’ would be equalities or proportionalities in the measures of the features, motions and interrelations of particular waves. Such a theory of universals would elucidate sensation and memory. In attempting to retrace the development of conceptual knowledge from experience, we may refer to certain major organizing principles. It is also important to keep track of the order of things in such development, interrelating specific concepts and specific experiences. By proposing a precise sequence of events, we avoid certain logical fallacies and are challenged to try and answer certain crucial questions in more detail. Many more topics are discussed in the present collection of essays, including selfhood, adduction and other logical issues, the status of mathematical concepts and theology. (shrink)