Among Dunn’s many important contributions to relevance logic was his work on the system RM (R-mingle). Although RM is an interesting system in its own right, it is widely considered to be too strong. In this chapter, I revisit a closely related system, RM0 (sometimes known as ‘constructive mingle’), which includes the mingle axiom while not degenerating in the way that RM itself does. My main interest will be in examining this logic from two related semantical perspectives. (...) First, I give a purely operational bisemilattice semantics for it by adapting previous work of Humberstone. Second, I examine a more conventional algebraic semantics for it and discuss how this relates to the operational semantics. A novel operational semantics for J (intuitionistic logic) as well as its conventional Heyting algebraic semantics emerge as special cases of the corresponding semantics for RM0. The results of this chapter suggest that RM0 is a more interesting logic than has been appreciated and that Humberstone’s operational semantic framework similarly deserves more attention than it has received. (shrink)

In A Confession, a memoir of his philosophical midlife crisis, Tolstoy recounts falling into despair after coming to believe that his life, and for that matter all human life, is meaningless and absurd. Although Tolstoy's account of the origin and phenomenology of his crisis is widely regarded as illuminating, his response to the crisis, namely, embracing a religious tradition that he had previously dismissed as “irrational,” “incomprehensible,” and “mingled with falsehood” seems unpromising, at best. Nevertheless, I argue, Tolstoy's account of (...) his response makes a valuable contribution to contemporary thought about the meaning and absurdity of life. I begin by drawing on classic discussions in the philosophical literature, and on Tolstoy's memoir, in order to characterize the problem of meaning and the problem of the absurd, and to clarify the relation between these problems. I then draw on Tolstoy's account of his response to his crisis in order to characterize a form of faith in our deepest values. I argue that such faith supplies one important part of the story concerning how we might respond to the problem of the absurd — a part that has been overlooked by more recent discussions of these issues. (shrink)

‘Eruv’ is a Hebrew word meaning literally ‘mixture’ or ‘mingling’. An eruv is an urban region demarcated within a larger urban region by means of a boundary made up of telephone wires or similar markers. Through the creation of the eruv, the smaller region is turned symbolically (halachically = according to Jewish law) into a private domain. So long as they remain within the boundaries of the eruv, Orthodox Jews may engage in activities that would otherwise be prohibited on the (...) Sabbath, such as pushing prams or wheelchairs, or carrying walking sticks. There are eruvim in many towns and university campuses throughout the world. There are five eruvim in Chicago, five in Brooklyn, twenty three in Queens and Long Island, and at least three in Manhattan. The US Supreme Court is (like most other major US Federal Government buildings) located within the eruv of Washington DC. In many cases, not all of those living within or near the area of an actual or proposed eruv will themselves be Orthodox Jews, and this has sometimes led to protests against eruv creation. It is such protests which triggered the writing of this essay. (shrink)

Fine (2017a) sets out a theory of content based on truthmaker semantics which distinguishes two kinds of consequence between contents. There is entailment, corresponding to the relationship between disjunct and disjunction, and there is containment, corresponding to the relationship between conjunctions and their conjuncts. Fine associates these with two notions of parthood: disjunctive and conjunctive. Conjunctive parthood is a very useful notion, allowing us to analyse partial content and partial truth. In this chapter, I extend the notion of disjunctive parthood (...) in terms of a structural relation of refinement, which stands to disjunctive parthood much as mereological parthood stands to conjunctive parthood. Philosophically, this relation may be modelled on the determinable- determinate relation, or on a fact-to-fact notion of grounding. I discuss its connection to two other Finean notions: vagueness (understood via precisification) and arbitrary objects. I then investigate what a logic of truthmaking with refinement might look like. I argue that (i) parthood naturally gives rise to a relevant conditional; (ii) refinement underlies a relevant notion of disjunction; and so (iii) truthmaker semantics with refinement is a natural home for relevant logic. The resulting formal models draw on Fine’s (1974) semantics for relevant logics. Finally, I use this understanding of relevant semantics to investigate the status of the mingle axiom. (shrink)

The system R, or more precisely the pure implicational fragment R›, is considered by the relevance logicians as the most important. The another central system of relevance logic has been the logic E of entailment that was supposed to capture strict relevant implication. The next system of relevance logic is RM or R-mingle. The question is whether adding mingle axiom to R› yields the pure implicational fragment RM› of the system? As concerns the weak systems there are at (...) least two approaches to the problem. First of all, it is possible to restrict a validity of some theorems. In another approach we can investigate even weaker logics which have no theorems and are characterized only by rules of deducibility. (shrink)

Dâwûd al-Qarisî (Dâvûd al-Karsî) was a versatile and prolific 18th century Ottoman scholar who studied in İstanbul and Egypt and then taught for long years in various centers of learning like Egypt, Cyprus, Karaman, and İstanbul. He held high esteem for Mehmed Efendi of Birgi (Imâm Birgivî/Birgili, d.1573), out of respect for whom, towards the end of his life, Karsî, like Birgivî, occupied himself with teaching in the town of Birgi, where he died in 1756 and was buried next to (...) Birgivî. Better known for his following works on Arabic language and rhetoric and on the prophetic traditions (hadith): Sharḥu uṣûli’l-ḥadîth li’l-Birgivî; Sharḥu’l-Ḳaṣîdati’n-nûniyya (two commentaries, in Arabic and Turkish); Şarḥu’l-Emsileti’l-mukhtalifa fi’ṣ-ṣarf (two commentaries, in Arabic and Turkish); Sharḥu’l-Binâʾ; Sharḥu’l-ʿAvâmil; and Sharḥu İzhâri’l-asrâr, Karsî has actually composed textbooks in quite different fields. Hence the hundreds of manuscript copies of his works in world libraries. Many of his works were also recurrently printed in the Ottoman period. One of the neglected aspects of Karsî is his identity as a logician. Although he authored ambitious and potent works in the field of logic, this aspect of him has not been subject to modern studies. Even his bibliography has not been established so far (with scattered manuscript copies of his works and incomplete catalogue entries). This article primarily and in a long research based on manuscript copies and bibliographic sources, identifies twelve works on logic that Karsî has authored. We have clarified the works that are frequently mistaken for each other, and, especially, have definitively established his authorship of a voluminous commentary on al-Kâtibî’s al-Shamsiyya, of which commentary a second manuscript copy has been identified and described together with the other copy. Next is handled his most famous work of logic, the Sharhu Îsâghûcî, which constitutes an important and assertive ring in the tradition of commentaries on Îsâghûcî. We describe in detail the nine manuscript copies of this work that have been identified in various libraries. The critical text of Karsî’s Sharhu Îsâghûcî, whose composition was finished on 5 March 1745, has been prepared based on the following four manuscripts: (1) MS Kayseri Raşid Efendi Kütüphanesi, No. 857, ff.1v-3v, dated 1746, that is, only one year after the composition of the work; (2) MS Bursa İnebey Yazma Eser Kütüphanesi, Genel, No.794B, ff.96v-114v, dated 1755; (3) MS Millet Kütüphanesi, Ali Emiri Efendi Arapça, No. 1752, ff.48v-58r, dated 1760; (4) MS Beyazıt Yazma Eser Kütüphanesi, Beyazıt, No. 3129, ff.41v-55v, dated 8 March 1772. While preparing the critical text, we have applied the Center for Islamic Studies (İslam Araştırmaları Merkezi, İSAM)’s method of optional text choice. The critical text is preceded by a content analysis. Karsî is well aware of the preceding tradition of commentary on Îsâghûcî, and has composed his own commentary as a ‘simile’ or alternative to the commentary by Mollâ Fanârî which was famous and current in his own day. Karsî’s statement “the commentary in one day and one night” is a reference to Mollâ Fanârî who had stated that he started writing his commentary in the morning and finished it by the evening. Karsî, who spent long years in the Egyptian scholarly and cultural basin, adopted the religious-sciences-centered ‘instrumentalist’ understanding of logic that was dominant in the Egypt-Maghrib region. Therefore, no matter how famous they were, he criticized those theoretical, long, and detailed works of logic which mingled with philosophy; and defended and favored authoring functional and cogent logic texts that were beneficial, in terms of religious sciences, to the seekers of knowledge and the scholars. Therefore, in a manner not frequently encountered in other texts of its kind, he refers to the writings and views of Muhammad b. Yûsuf al-Sanûsî (d.1490), the great representative of this logical school in the Egyptian-Maghrib region. Where there is divergence between the views of the ‘earlier scholars’ (mutaqaddimûn) like Ibn Sînâ and his followers and the ‘later scholars’ (muta’akhkhirûn), i.e., post-Fakhr al-dîn al-Râzî logicians, Karsî is careful to distance himself from partisanship, preferring sometimes the views of the earliers, other times those of the laters. For instance, on the eight conditions proposed for the realization of contradiction, he finds truth to be with al-Fârâbî, who proposed “unity in the predicative attribution” as the single condition for the realization of contradiction. Similarly, on the subject matter of Logic, he tried to reconcile the mutaqaddimûn’s notion of ‘second intelligibles’ with the muta’akhkhirûn’s notion of ‘apprehensional and declarational knowledge,’ suggesting that not much difference exists between the two, on the grounds that both notions are limited to the aspect of ‘known things that lead to the knowledge of unknown things.’ Karsî asserts that established and commonly used metaphors have, according to the verifying scholars, signification by correspondence (dalâlat al-mutâbaqah), adding also that it should not be ignored that such metaphors may change from society to society and from time to time. Karsî also endorses the earlier scholars’ position concerning the impossibility of quiddity (mâhiyya) being composed of two co-extensive parts, and emphasizes that credit should not be given to later scholars’ position who see it possible. According to the verifying scholars (muhaqqîqûn), it is possible to make definition (hadd) by mentioning only difference (fasl), in which case it becomes an imperfect definition (hadd nâqis). He is of the opinion that the definition of the proposition (qadiyya) in al-Taftâzânî’s Tahdhîb is clearer and more complete: “a proposition is an expression that bears the possibility of being true or false”. He states that in the division of proposition according to quantity what is taken into consideration is the subject (mawdû‘) in categorical propositions, and the temporal aspect of the antecedent (muqaddam) in hypothetical propositions. As for the unquantified, indefinite proposition (qadiyya muhmalah), Karsî assumes that if it is not about the problems of the sciences, then it is virtually/potentially a particular proposition (qadiyya juz’iyyah); but if it is about the problems of the sciences, then it is virtually/potentially a universal proposition (qadiyya kulliyyah). This being the general rule about the ambiguous (muhmal) propositions, he nevertheless contends that, because its subject (mawdû‘) is negated, it is preferable to consider a negative ambiguous (sâliba muhmalah) proposition like “human (insân) is not standing” to be a virtually/potentially universal negative (sâliba kulliyyâh) proposition. He states that a disjunctive hypothetical proposition (shartiyya al-munfasila) that is composed of more than two parts/units is only seemingly so, and that in reality it cannot be composed of more than two units. Syllogism (qiyâs), according to Karsî, is the ultimate purpose (al-maqsad al-aqsâ) and the most valuable subject-matter of the science of Logic. For him, the entire range of topics that are handled before this one are only prolegomena to it. This approach of Karsî clearly reveals how much the ‘demonstration (burhân)-centered’ approach of the founding figures of the Muslim tradition of logic like al-Fârâbî and Ibn Sînâ has changed. al-Abharî, in his Îsâghûjî makes no mention of ‘conversion by contradiction’ (‘aks al-naqîd). Therefore, Karsî, too, in his commentary, does not touch upon the issue. However, in his Îsâghûjî al-jadîd Karsî does handle the conversion by contradiction and its rules. Following the method of Îsâghûjî, in his commentary Karsî shortly touches on the four figures (shakl) of conjuctive syllogism (qiyâs iqtirânî) and their conditions, after which he passes to the first figure (shakl), which is considered ‘the balance of the sciences’ (mi‘yâr al-‘ulûm), explaining the four moods (darb) of it. In his Îsâghûjî al-jadîd, however, Karsî handles all the four figures (shakl) with all their related moods (darb), where he speaks of fife moods (darb) of the fourth figure (shakl). The topic of ‘modal propositions’ (al-muwajjahât) and of ‘modal syllogism’ (al-mukhtalitât), both of which do not take place in the Îsâghûjî, are not mentioned by Karsî as well, either in his commentary on Îsâghûjî or in his Îsâghûjî al-jadîd. Karsî proposes that the certainties (yaqîniyyât), of which demonstration (burhân) is made, have seven, not six, divisions. After mentioning (1) axioms/first principles (awwaliyyât), (2) observata/sensuals (mushâhadât), (3) experta/empiricals (mujarrabât), (4) acumenalia (hadthiyyât), (5) testata (mutawâtirât), and (6) instictives (fitriyyât), that is, all the ‘propositions accompanied by their demonstrations,’ Karsî states that these six divisions, which do not need research and reflection (nazar), are called badîhiyyât (self-evidents), and constitute the foundations (usûl) of certainties (yaqîniyyât). As the seventh division he mentions (7) the nazariyyât (theoreticals), which are known via the badîhiyyât, end up in them, and therefore convey certainty (yaqîn). For Karsî, the nazariyyât/theoreticals, which constitute the seventh division of yaqîniyyât/certainties, are too numerous, and constitute the branches (far‘) of yaqîniyyât. Every time the concept of ‘Mughâlata’ (sophistry) comes forth in the traditional sections on the five arts usually appended to logic works, Karsî often gives examples from what he sees as extreme sûfî sayings, lamenting that these expressions are so widespread and held in esteem. He sometimes criticizes these expressions. However, it is observed that he does not reject tasawwuf in toto, but excludes from his criticism the mystical views and approaches of the truth-abiding (ahl al-haqq), shârî‘â-observant (mutasharri‘) leading sufis who have reached to the highest level of karâmah. (shrink)

Born in 1315, Shamseddin Mohammad, known as Hafiz, grew up in the city of Shiraz where he studied the Qur’anic sciences. In his youth he learned the Quran rigorously and assumed the epithet ‘Hafiz’ which means the one who knows the Quran by heart. Also known as the ‘Tongue of the Hidden’ and the ‘Interpreter of Secrets’, Hafiz utilizes grand religious ideas and mingles them with Sufistic teachings, thereby creating a kind of poetry which baffles interpretation. The poetry of Hafiz (...) has intoxicated and continues to intoxicate many in the world. The exhilarating effect of his poetry was also known to the poet himself. In one of his poems, he says that the angels are memorizing his poems in heaven and that Venus is enraptured and that Christ rjoices in his songs: “What marvel that in heaven are sung/ The dulcet words by HAFIZ strung?/Or that, by Venus’s air entranced,/Messiah in his sphere has danced?” As Friedrich Nietzsche has said of Hafiz: “Bist aller Trunkenen Trunkenheit/ wozu, wozu dir-Wein? (the intoxication of all intoication you are/what need do you have to ask for wine?)”. (shrink)

Throughout Alexandre Herculano’s historical oeuvre claims of impartiality are mingled with the partiality of the beliefs, ideals, and interests that give shape to the author’s point of view. One can trace in it both the commitment to the disinterested search for truth and the pragmatic intention to remodel the relations of Portuguese society with its past and with the effects of this past on the present. This text revisits Herculano’s major historical writings with the aim of understanding how it is (...) possible for historical texts to be or claim to be at the same time true and useful, objective and engaged, impartial and partial. I intend to show that those oppositions not necessarily entail paralyzing contradictions, and that good historians such as Herculano are usually capable of drawing from them a great amount of intellectual energy. Focusing on the tension between impartiality and partiality, and supported by close readings and contextual analyses, I will try to demonstrate that such tension configures itself in at least two different modes, which in turn depend on the positive or negative significance the studied past turns out to have for the person who studies it. (shrink)

We emerge into everythingness. The senses mingle incestuously. Nothing is distinct or differentiated. Everything is no-thing. How is it we come to be as distinct entities? Let me personalize: In what manner did I become an "I"? Is the motive force behind this much-maligned, much-altered, much-abused body my soul? my genes? me?

The polis, as a gathering of various citizens, may be threatened by discord and finally may collapse because of the stasis, the internal conflict between different groups of people with diverging interests. This scheme is tackled by Plato in Gorgias, and more thoroughly in the Republic. Both dialogues were a source of inspiration for the pseudo-Pythagorean writings which flourished between the second half of the 4th century B.C. and the Hellenistic period. Among them, the treaties attributed to Kleinias, Metopus, Theages, (...) Lysis and Hippodamus frequently use the concept of stasis and pleonexia to describe how a city may be governed and what kind of danger may appear if the citizens’ behavior is not controlled. In general, these treaties adapt the vision of Plato concerning conflict to some Pythagorean images and teachings. By mingling both influences, they blur the frontier between Platonism and Pythagoreanism and create a genre of intertwined literature which may be qualified as bricolage, according to Lévi-Strauss’s concept. These philosophical texts use a range of material mostly traced back to the Hellenistic period, but also some fragments related to the conception of conflicts and violence in early Pythagoreanism. (shrink)

Interpretations of Peirce’s development after 1898 often mix three kinds of arguments: one argument about belief, one argument about philosophy and practice, and one argument about the causal role of James’s writings on Peirce’s development. I shall focus here on the last two points: theory and practice and the alleged role of James. James’s role in Peirce’s development is somewhat overestimated and one can doubt Peirce’s worries about the dogmatic use of the scientific method and of philosophy in morals are (...) conditioned by James’s writings only. Peirce’s re-readings and refinements of his Illustrations started no later than the early 1880s, at a time when James was not as central a reference as it became after 1900 for the philosophic stage. To support that claim, I wish to focus here on one particular point: the distrust towards those who try to “mingle” philosophy and practice is by no means a new theme in the 1890s. One of the most telling examples of such a claim is the 1885 review of Royce’s The Religious Aspect of Philosophy, some thirteen years before the quarrel over pragmatism started. (shrink)

Theology used to be the discipline that arbitrated and ‘said’ the truth. Some argued that its methodical engagement had to make it a search-driven experimentation with an inductive outlook intended at tracking truth through practice and praise, in short conversion. The empirico-formal sciences have sought canonical norms of knowledge away from any regimentation. Neopositivism had for a time entertained a fact-derived language and, as such, it banned metaphor as mingling problems by perpetuating the belief in entirely theoretical knowledge-terms. Here we (...) aim at putting together an examination of some of the reasons why a pluralistic epistemology has come to be adopted, and an attempt at finding pluralistic responses to that very idea through interdisciplinary comparison. This is the editors' (M. Fuller & A. Runehov) introduction: Philippe Gagnon asks the interesting question: Does pluralism itself need to be plural? He argues that neo-positivism has for some time now focused on using a fact-derived language, banning metaphoricity. He explores the reasons pluralistic epistemology came to be adopted, and leads us through some important philosophical problems and how they were tackled by different philosophers and in various times. Such philosophical problems or questions concern theories, truth and knowledge. If a theory is considered to be the best one, on which criteria is this judgement made? Might it be better to have several theories that are ex æquo? Gagnon argues that even though ‘pluralism’ is a better term compared to ‘the many’, it does not entirely escape relativism. Hence, he proposes to use ‘plurality’ instead, which does not threaten the unity of truth. After this philosophical exploration, he turns to theology, specifically Trinitarian theology, to implement his findings there. (shrink)

This project begins with the selective sensory experience suggested by lngarden followed by an insensitivity he insinuates to digestive processes. This is juxtaposed with an oenological explanation of phenomenal sedimentation offered by Jean-Luc Marion. It compares the dynamics of time in the former with the those of wine in the latter. Emphasis is given to lngarden's insinuation of time as fluid, liquid, or aquatic. It revisits Ingarden's physiological explanations of partially-open systems by way of the bilateral excretion and absorption of (...) semi-permeable cellular membranes. The importance he eventually grants to inner secretion is considered alongside perspiration and salivation collateral to skin and membranes. It suggests that Ingarden's interest in thermoregulation, partial permeation, and secretion invites alternative conceptions of temporal consciousness in physiological experiences, beyond sequential and linear clock-time and/or Kantian intuition. Temporality experienced as temperance becomes discernible at a permeable point in which the sedimentation of Husserl, the maturation of Marion, and the fluidity and secretion of Ingarden mix and mingle into the taste of time. (shrink)

Bios Philosophos. Philosophy in Ancient Greek Biography (Brepols, 2016), organized by Mauro Bonazzi and Stefan Schorn, delivers deep and wide tours through the philosophical aspects of Greek biographical production. On the one hand, it does not concentrate only on the later periods of Greek philosophy, when biographical production abounded; instead, it goes all the way back to the fourth century BCE, when biographical texts were fragmentary and mingled with other styles. On the other, it tries to unveil the philosophical motives (...) in authors' works who tend to be disregarded as historians, biographers, hagiographers, or even as mere fans of the most prominent figures of their own schools. -/- In our review, we will attempt to give a brief account of the ten articles that make up this volume, which, in turn, will hopefully provide an overview of the different connections between the biographies and biographers and their philosophical motives. (shrink)