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)

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)

This paper concerns Wittgenstein’s conception of philosophical and mathematical problems. Both in his earlier and in his later writings Wittgenstein grapples with the tendency of philosophers to misconstrue the nature of the difficulties that they are facing. Whereas philosophers tend to assume that their problems are comparable to those that come up in the sciences, and take these problems to consist in questions the answers to which will provide them with substantive knowledge, Wittgenstein compares philosophical problems with riddles. What is (...) characteristic of riddles is that solving them involves an alteration of the use of language, but it does not tend to involve the acquisition of new knowledge. In his middle and later period, the comparison with riddles serves to highlight and resolve a related confusion in the way philosophers of mathematics understand the nature of mathematical problems. Wittgenstein rejects the realist approach according to which every mathematical theorem, whether proven or not, meaningfully specifies a possible fact which would make it true or false. By contrast, Wittgenstein construes unproven conjectures on the model of riddle phrases, whose meaning, prior to our finding the solution to them, has not been determined. Moreover, Wittgenstein draws our attention to the fact that we can be caught up in an attempt to solve a riddle even if the riddle does not have a solution; the same applies, in his mind, to our engagement with philosophical and mathematical problems. When it comes to philosophical riddles, Wittgenstein is convinced that they do not have a solution at all. The specific difficulty presented by unproven mathematical conjectures is different; in this case, we cannot tell in advance whether or not they present us with a solvable riddle. The paper situates these issues in the context of ongoing debates in the scholarship concerning Wittgenstein’s conception of nonsense, his methodology, his engagement with mathematical realism and verificationism, and his response to skepticism. (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)

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)

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)

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)

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)

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)

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)

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)

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.

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)

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.

According to attitudinal theories of pleasure and pain, what makes a given sensation count as a pleasure or a pain is just the attitudes of the experiencing agent toward it. In a previous article, I objected to such theories on the grounds that they cannot account for pleasures and pains whose subjects are entirely unaware of them at the time of experience. Recently, Chris Heathwood and Fred Feldman, the two leading contemporary defenders of attitudinal theories, have responded to this objection, (...) in very different ways. In this paper, I reconstruct and evaluate these responses. My conclusion is that neither response succeeds. (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 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)

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)

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)

An action is agentially perfect if and only if, if a person tries to perform it, they succeed, and, if a person performs it, they try to. We argue that trying itself is agentially perfect: if a person tries to try to do something, they try to do it; and, if a person tries to do something, they try to try to do it. We show how this claim sheds new light on questions about basic action, the logical structure of (...) intentional action, and the notion of "options" in decision theory. On the way to these central ideas, we argue that a person can try to do something even if they believe it is impossible that they will succeed, that a person can try to do something even if they do not want to succeed, and that a person can try to do something even if they do not intend to succeed. (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)

Ethics is a collection of thoughts on the method, form and content of Ethics. This book is a thematic compilation drawn from past works by the author, over a period of thirteen years. The essays are placed in chronological order.

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)

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)

Virtue epistemology is among the dominant influences in mainstream epistemology today. An important commitment of one strand of virtue epistemology – responsibilist virtue epistemology (e.g., Montmarquet 1993; Zagzebski 1996; Battaly 2006; Baehr 2011) – is that it must provide regulative normative guidance for good thinking. Recently, a number of virtue epistemologists (most notably Baehr, 2013) have held that virtue epistemology not only can provide regulative normative guidance, but moreover that we should reconceive the primary epistemic aim of all education as (...) the inculcation of the intellectual virtues. Baehr’s picture contrasts with another well-known position – that the primary aim of education is the promotion of critical thinking (Scheffler 1989; Siegel 1988; 1997; 2017). In this paper – that we hold makes a contribution to both philosophy of education and epistemology and, a fortiori, epistemology of education – we challenge this picture. We outline three criteria that any putative aim of education must meet and hold that it is the aim of critical thinking, rather than the aim of instilling intellectual virtue, that best meets these criteria. On this basis, we propose a new challenge for intellectual virtue epistemology, next to the well-known empirically-driven ‘situationist challenge’. What we call the ‘pedagogical challenge’ maintains that the intellectual virtues approach does not have available a suitably effective pedagogy to qualify the acquisition of intellectual virtue as the primary aim of education. This is because the pedagogic model of the intellectual virtues approach (borrowed largely from exemplarist thinking) is not properly action-guiding. Instead, we hold that, without much further development in virtue-based theory, logic and critical thinking must still play the primary role in the epistemology of education. (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)

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)

Apocalypse, it seems, is everywhere. Preachers with vast followings proclaim the world's end and apocalyptic fears grip even the non-religious amid climate change, pandemics, and threats of nuclear war. But as these ideas pervade popular discourse, grasping their logic remains elusive. Ben Jones argues that we can gain insight into apocalyptic thought through secular thinkers. He starts with a puzzle: Why would secular thinkers draw on Christian apocalyptic beliefs--often dismissed as bizarre--to interpret politics? The apocalyptic tradition proves appealing in part (...) because it theorizes a special relation between crisis and utopia. Apocalyptic thought points to crisis as the vehicle to bring the previously impossible within reach, thus offering apparent resources for navigating challenges in ideal theory, which tries to imagine the best and most just society. By examining apocalyptic thought's appeal and risks, this study arrives at new insights on the limits of ideal theory and utopian hope. (shrink)

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)

An overview (about 8,000 words) of act utilitarianism, covering the basic idea of the theory, historical examples, how it differs from rule utilitarianism and motive utilitarianism, supporting arguments, and standard objections. A closing section provides a brief introduction to indirect utilitarianism (i.e., a Hare- or Railton-style view distinguishing between a decision procedure and a criterion of rightness).

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)

It is often thought that some version of what is generally called the publicity condition is a reasonable requirement to impose on moral theories. In this article, after formulating and distinguishing three versions of the publicity condition, I argue that the arguments typically used to defend them are unsuccessful and, moreover, that even in its most plausible version, the publicity condition ought to be rejected as both question-begging and unreasonably demanding.

Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and abstract sciences. If we wish (...) to systematically understand the aims and epistemology of logic, we are best placed achieving this by looking at what logicians do, rather than reflecting upon the nature of logic itself. In this entry, we outline the motivations for a practice-based approach towards the philosophy of logic and highlight its advantages over more “top-down” approaches, which attempt to infer conclusions about the nature of logic and its methodology on the basis of traditional assumptions about knowledge, metaphysics, or logic itself. We end by addressing several prominent concerns raised against the practice-based approach. (shrink)

The past few decades have seen considerable interest in the history of analytic philosophy. As this field has developed, complex and provocative questions have emerged about the very nature of analytic philosophy, challenging long- standing assumptions and spawning new research paradigms. In this outstanding collection an international team of contributors examine these questions and contribute to these debates, exploring the idea of analysis, the essence and status of logic, the nature of the proposition and its linguistic expression, the logical act (...) of judgment, the distinction between external and internal relations, the possibility of category mistakes, and the demarcation of sense from nonsense. Several of the chapters shed light on the interconnections between Wittgenstein and other figures within that tradition, including Frege, Russell, Ramsey, and Ryle. Other chapters examine the interaction between analytic philosophers and members of other philosophical traditions, including Frege and Weierstrass, Wittgenstein and Schopenhauer, Wittgenstein and Bradley, Russell and the North American Pragmatists, Russell and the Neo-Kantians, Wittgenstein and Heidegger, and Heidegger and Ryle. Among the specific topics explored are Russell’s conception of the judging subject, Wittgenstein’s discussion of rule-following, Frege’s conception of the logical categories, and Wittgenstein’s conception of nonsense. The volume also includes a book review by Gilbert Ryle – collected and published non-anonymously here for the first time – which sheds important light on the reception of Frege’s philosophy in the analytic tradition. Early Analytic Philosophy: Origins and Transformations will be of great interest to those studying and researching the history of twentieth-century philosophy, contemporary analytic philosophy, and the philosophy of language and logic. (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.

I provide an argument from consciousness for God’s existence. I first consider a version of the argument which is ultimately difficult to evaluate. I then consider a stronger argument, on which consciousness, given our worldly laws of nature, is rather substantial evidence for God’s existence. It is this latter argument the paper largely focuses on, both in setting it out and defending it from various objections.

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)

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)

Theology is about God and Creation, or more precisely perhaps about our ideas of them, how they are formed and somewhat justified, although it is stressed that they can be neither proved nor disproved. This book is a thematic compilation drawn from past works by the author over a period of thirteen years. A new essay, about prayer, was added in 2022.

The Logic of Causation: Definition, Induction and Deduction of Deterministic Causality is a treatise of formal logic and of aetiology. It is an original and wide-ranging investigation of the definition of causation (deterministic causality) in all its forms, and of the deduction and induction of such forms. The work was carried out in three phases over a dozen years (1998-2010), each phase introducing more sophisticated methods than the previous to solve outstanding problems. This study was intended as part of a (...) larger work on causal logic, which additionally treats volition and allied cause-effect relations (2004). The Logic of Causation deals with the main technicalities relating to reasoning about causation. Once all the deductive characteristics of causation in all its forms have been treated, and we have gained an understanding as to how it is induced, we are able to discuss more intelligently its epistemological and ontological status. In this context, past theories of causation are reviewed and evaluated (although some of the issues involved here can only be fully dealt with in a larger perspective, taking volition and other aspects of causality into consideration, as done in Volition and Allied Causal Concepts). Phase I: Macroanalysis. Starting with the paradigm of causation, its most obvious and strongest form, we can by abstraction of its defining components distinguish four genera of causation, or generic determinations, namely: complete, partial, necessary and contingent causation. When these genera and their negations are combined together in every which way, and tested for consistency, it is found that only four species of causation, or specific determinations, remain conceivable. The concept of causation thus gives rise to a number of positive and negative propositional forms, which can be studied in detail with relative ease because they are compounds of conjunctive and conditional propositions whose properties are already well known to logicians. The logical relations (oppositions) between the various determinations (and their negations) are investigated, as well as their respective implications (eductions). Thereafter, their interactions (in syllogistic reasoning) are treated in the most rigorous manner. The main question we try to answer here is: is (or when is) the cause of a cause of something itself a cause of that thing, and if so to what degree? The figures and moods of positive causative syllogism are listed exhaustively; and the resulting arguments validated or invalidated, as the case may be. In this context, a general and sure method of evaluation called ‘matricial analysis’ (macroanalysis) is introduced. Because this (initial) method is cumbersome, it is used as little as possible – the remaining cases being evaluated by means of reduction. Phase II: Microanalysis. Seeing various difficulties encountered in the first phase, and the fact that some issues were left unresolved in it, a more precise method is developed in the second phase, capable of systematically answering most outstanding questions. This improved matricial analysis (microanalysis) is based on tabular prediction of all logically conceivable combinations and permutations of conjunctions between two or more items and their negations (grand matrices). Each such possible combination is called a ‘modus’ and is assigned a permanent number within the framework concerned (for 2, 3, or more items). This allows us to identify each distinct (causative or other, positive or negative) propositional form with a number of alternative moduses. This technique greatly facilitates all work with causative and related forms, allowing us to systematically consider their eductions, oppositions, and syllogistic combinations. In fact, it constitutes a most radical approach not only to causative propositions and their derivatives, but perhaps more importantly to their constituent conditional propositions. Moreover, it is not limited to logical conditioning and causation, but is equally applicable to other modes of modality, including extensional, natural, temporal and spatial conditioning and causation. From the results obtained, we are able to settle with formal certainty most of the historically controversial issues relating to causation. Phase III: Software Assisted Analysis. The approach in the second phase was very ‘manual’ and time consuming; the third phase is intended to ‘mechanize’ much of the work involved by means of spreadsheets (to begin with). This increases reliability of calculations (though no errors were found, in fact) – but also allows for a wider scope. Indeed, we are now able to produce a larger, 4-item grand matrix, and on its basis find the moduses of causative and other forms needed to investigate 4-item syllogism. As well, now each modus can be interpreted with greater precision and causation can be more precisely defined and treated. In this latest phase, the research is brought to a successful finish! Its main ambition, to obtain a complete and reliable listing of all 3-item and 4-item causative syllogisms, being truly fulfilled. This was made technically feasible, in spite of limitations in computer software and hardware, by cutting up problems into smaller pieces. For every mood of the syllogism, it was thus possible to scan for conclusions ‘mechanically’ (using spreadsheets), testing all forms of causative and preventive conclusions. Until now, this job could only be done ‘manually’, and therefore not exhaustively and with certainty. It took over 72’000 pages of spreadsheets to generate the sought for conclusions. This is a historic breakthrough for causal logic and logic in general. Of course, not all conceivable issues are resolved. There is still some work that needs doing, notably with regard to 5-item causative syllogism. But what has been achieved solves the core problem. The method for the resolution of all outstanding issues has definitely now been found and proven. The only obstacle to solving most of them is the amount of labor needed to produce the remaining (less important) tables. As for 5-item syllogism, bigger computer resources are also needed. (shrink)

The Laws of Thought is an exploration of the deductive and inductive foundations of rational thought. The author here clarifies and defends Aristotle’s Three Laws of Thought, called the Laws of Identity, Non-contradiction and Exclusion of the Middle – and introduces two more, which are implicit in and crucial to them: the Fourth Law of Thought, called the Principle of Induction, and the Fifth Law of Thought, called the Principle of Deduction. This book is a thematic compilation drawn from past (...) works by the author over a period of twenty-three years (1990-2013). (shrink)