Epistemic humility, a cornerstone of philosophical and scientific inquiry, emphasizes the recognition of human fallibility and the provisional nature of knowledge. This concept contrasts with epistemic arrogance by promoting a humble acknowledgment of the limits of understanding and a willingness to revise beliefs in light of new evidence. Historical perspectives, from Socrates' dialogues to Descartes' methodological doubt and Hume's critique of induction, illustrate the evolution of epistemic humility as a critical component of skeptical thought. Philosophical reflections on intellectual virtues, such (...) as curiosity and open-mindedness, underscore the importance of embracing uncertainty in the pursuit of truth. Contemporary discourse on epistemic humility addresses its role in scientific progress, public policy, and societal dialogue, highlighting its potential to foster intellectual integrity and informed decision-making amidst complexity and uncertainty. (shrink)

Globally, languages are disappearing at an unprecedented rate. To establish successful strategic options on how to protect the language's survival, members of linguistic communities must be knowledgeable of the reasons for language extinction or endangerment. This paper discusses how the number of people who speak Pangasinan, which is the eighth most common language in the Philippines, is decreasing over time and how this is affecting the language. It gives an outline of the Pangasinan language's current vitality and covers the Philippines' (...) language policy history. It also considers a situation in which globalization may provide unexpected chances for language revitalization. This study seeks to serve as a springboard for future research and aids teachers and other relevant educational personnel in identifying, comprehending, assessing, and implementing appropriate language-endangerment remedies. The authors also provide suggestions for future research based on their findings. (shrink)

Motivation serves as a pivotal driver for achieving optimal work performance, especially in the realm of local government operations. Through a qualitative multiple-case study design, the researchers analyzed the pivotal connection between employees' performance and overall organizational success. Thirteen (13) participants from the first-class municipalities in the first district of Batangas were selected using purposive sampling techniques. Face-to-face interviews were conducted to get the opinions of the participants and were subsequently subjected to thematic analysis. The findings highlight the strong connection (...) between motivational tools and employee preferences. Despite the local government's emphasis on teamwork and collaboration, employees exhibit a strong preference for incentives, rewards, and acknowledgment. Advocating for the systematic integration of employee feedback into motivational strategy formulation and the necessity of comprehensive evaluations of existing tools. Additionally, it underscores the importance of cultivating an inclusive environment where employees actively participate in discussions about motivational approaches. By embracing the proposed motivational plan that considers both organizational and employee perspectives, this research seeks to cultivate a culture of heightened productivity and performance enhancement within local government units. (shrink)

The work of Gaston Bachelard is known for two crucial concepts, that of the epistemological rupture and that of phenomenotechnique. A crucial question is, however, how these two concepts relate to one another. Are they in fact essentially connected or must they be seen as two separate elements of Bachelard’s thinking? This paper aims to analyse the relation between these two Bachelardian moments and the significance of the concept of phenomenotechnique for today. This will be done by examining how the (...) concepts of Bachelard have been used from the 1960s on. From this historical perspective, one gets the impression that these two concepts are relatively independent from each other. The Althusserian school has exclusively focused on the concept of ‘epistemological break’, while scholars from Science & Technology Studies, such as Bruno Latour, seem to have only taken up the concept of phenomenotechnique. It in fact leads to two different models of how to think about science, namely the model of purification and the model of proliferation. The former starts from the idea that sciences are rational to the extent that they are purified and free from obstacles. Scientific objectivity, within this later model, is not achieved by eradicating all intermediaries, obstacles and distortions, but rather exactly by introducing as many relevant technical mediators as possible. Finally, such a strong distinction will be criticized and the argument will be made that both in Bachelard’s and Latour's thought both concepts are combined. This leads to a janus-headed view on science, where both the element of purification and the element of proliferation are combined. (shrink)

Yuri Matiyasevich's theorem states that the set of all Diophantine equations which have a solution in non-negative integers is not recursive. Craig Smoryński's theorem states that the set of all Diophantine equations which have at most finitely many solutions in non-negative integers is not recursively enumerable. Let R be a subring of Q with or without 1. By H_{10}(R), we denote the problem of whether there exists an algorithm which for any given Diophantine equation with integer coefficients, can decide whether (...) or not the equation has a solution in R. We prove that a positive solution to H_{10}(R) implies that the set of all Diophantine equations with a finite number of solutions in R is recursively enumerable. We show the converse implication for every infinite set R \subseteq Q such that there exist computable functions \tau_1,\tau_2:N \to Z which satisfy (\forall n \in N \tau_2(n) \neq 0) \wedge ({\frac{\tau_1(n)}{\tau_2(n)}: n \in N}=R). This implication for R=N guarantees that Smoryński's theorem follows from Matiyasevich's theorem. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have a rational solution is not recursive. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have only finitely many rational solutions is not recursively enumerable. These conjectures are equivalent by our results for R=Q. (shrink)

In his lucid and helpful reply, Chris Drain (2021) clarifies some of his views and aims and offers pertinent criticisms of my own. Drain refocuses my forays into Pittsburgh Hegelianism onto Vygotsky’s own thought. He rightly notes that Brandom’s account of deontic scorekeeping tells us nothing about phylogenesis. Sellars too has little to say about the origins of language and social practice and I would endorse the projects of those who turn to Tomasello to fill such gaps (Koons 2018). However, (...) I still do not think Drain has got Vygotsky’s Hegel right. I do not think one can substitute “Hegelian” for “Janetian”, and I hope to show why this matters. -/- Drain also objects to my characterization of Tomasello as Cartesian. There is of course a long line of philosophers from Deleuze to Dennett charging all those who fall across their path with covert Cartesianism. I will not besmirch this venerable custom here. In my reply I contrast the Hegelian-Marxist approach to language of Vygotsky with the Cartesian approach of Tomasello. I conclude by suggesting some active research programmes which overcome this Cartesiansim while following the trajectories of Vygotsky’s own project. (shrink)

Arthur Norman Prior was born on 4 December 1914 in Masterton, New Zealand. He studied philosophy in the 1930s and was a significant, and often provocative, voice in theological debates until well into the 1950s. He became a lecturer in philosophy at Canterbury University College in Christchurch in 1946 succeeding Karl Popper. He became a full professor in 1952. He left New Zealand permanently for England in 1959, first taking a chair in philosophy at Manchester University, and then becoming a (...) fellow of Balliol College, Oxford, in 1966. Prior died on 6 October 1969 in Trondheim, Norway. After Prior’s death, many logicians and philosophers have analysed and discussed his approach to formal and philosophical logic. In particular, his contributions to modal logic, tense-logic and deontic logic have been studied. -/- In 1957, A.N. Prior proposed the three-valued modal logic Q as a ‘correct’ modal logic from his philosophical motivations, see Prior (1957). Prior developed Q in order to offer a logic for contingent beings, in which one could intelligibly and rationally state that some beings are contingent and some are necessary, see Akama & Nagata (2005). According to Akama & Nagata (2005), Q has a natural semantics. In other words, from the philosophical point of view, Q can be regarded as an ‘actualist’ modal logic. -/- This review article is a developed description of, and discussion on, ‘The System Q’ that is the fifth chapter of Prior (1957). In addition, in his logical analysis of ‘Time & Existence’ (that is the eights chapter of Prior (1967)), Prior has worked on system Q. Thus, Prior (1967) has also been very useful for this article. This article analyses the logical structure of system Q in order to provide a more understandable description as well as logical analysis for today’s logicians, philosophers, and information-computer scientists. In the paper, the Polish notations are translated into modern notations in order to be more comprehensible and to support the developed formal descriptions as well as semantic analysis. (shrink)

Quasi-set theory $\cal Q$ allows us to cope with certain collections of objects where the usual notion of identity is not applicable, in the sense that $x = x$ is not a formula, if $x$ is an arbitrary term. $\cal Q$ was partially motivated by the problem of non-individuality in quantum mechanics. In this paper I discuss the range of explanatory power of $\cal Q$ for quantum phenomena which demand some notion of indistinguishability among quantum objects. My main focus is (...) on the double-slit experiment, a major physical phenomenon which was never modeled from a quasi-set-theoretic point of view. The double-slit experiment strongly motivates the concept of degrees of indistinguishability within a field-theoretic approach, and that notion is simply missing in $\cal Q$. Nevertheless, other physical situations may eventually demand a revision on quasi-set theory axioms, if someone intends to use it in the quantum realm for the purpose of a clear discussion about non-individuality. I use this opportunity to suggest another way to cope with identity in quantum theories. (shrink)

As belief in the reality of race as a biological category among U.S. anthropologists has fallen, belief in the reality of race as a social category has risen in its place. The view that race simply does not exist—that it is a myth—is treated with suspicion. While racial classification is linked to many of the worst evils of recent history, it is now widely believed to be necessary to fight back against racism. In this article, I argue that race is (...) indeed a biological fiction, but I critique the claim that race is socially real. I defend a form of anti‐realist reconstructionism about race, which says that there are no races, only racialized groups—groups mistakenly believed to be races. I argue that this is the most attractive position about race from a metaphysical perspective, and that it is also the position most conductive to public understanding and social justice. (shrink)

s Gibson (1982) correctly points out, despite Quine’s brief flirtation with a “mitigated phenomenalism” (Gibson’s phrase) in the late 1940’s and early 1950’s, Quine’s ontology of 1953 (“On Mental Entities”) and beyond left no room for non-physical sensory objects or qualities. Anyone familiar with the contemporary neo-dualist qualia-freak-fest might wonder why Quinean lessons were insufficiently transmitted to the current generation.

In this essay we argue for the Janus-faced nature of hope. We show that attempts to sanitise the concept of hope either by separating it conceptually from other phenomena such as wishful thinking, or, more generally, by seeking to minimise the negative aspects of hope, do not help us to understand the nature of hope and its functions as regards religion. Drawing on functional accounts of religion from Clifford Geertz and Tamas Pataki, who both—in their different ways—see the function (...) of religion in terms of its capacity to satisfy deep psychological needs, we demonstrate that religion uniquely positions itself with regard to hope’s two faces, simultaneously exploiting positive and negative aspects of hope. (shrink)

"C.E. Emmer’s article addresses the ongoing debates over how to classify and understand kitsch, from the inception of postmodern culture onwards. It is suggested that the lack of clear distinction between fine art and popular culture generates 'approaches to kitsch – what we might call 'deflationary' approaches – that conspire to create the impression that, ultimately, either 'kitsch' should be abandoned as a concept altogether, or we should simply abandon ourselves to enjoying kitschy objects as kitsch.' The author offers critical (...) insight into 'kitschy' items made in response to 9/11 and tries to examine the reception of these products through scrutinizing a selection of remarks posted by the Internet commentators." Editor Justyna Stępień's summary from her introduction to Redefining Kitsch and Camp in Literature and Culture (Newcastle upon Tyne: Cambridge Scholars Publishing, 2014), p. 2. The final pages of the chapter analyze the seemingly sweet landscape paintings of Thomas Kinkade to show the spirit of revenge their Christian coding can conceal. (shrink)

In this study, we propose a new approach based on fuzzy TODIM (Portuguese acronym for interactive and multicriteria decision-making) for decision-making problems in uncertain environments. Our method incorporates group utility and individual regret, which are often ignored in traditional multicriteria decision-making (MCDM) methods. To enhance the analysis and application of fuzzy sets in decision-making processes, we introduce novel entropy and distance measures for q-rung picture fuzzy sets. These measures include an entropy measure based on the sine function and a distance (...) measure derived from the Jensen-Shannon divergence. In our methodology, incorporating the sine function into the entropy measure stands out as a distinctive decision, grounded in a profound understanding of the inherent characteristics of fuzzy sets. Utilizing the sine function proves especially advantageous when handling fuzzy sets that exhibit cyclical variations or fluctuations in their membership degrees. We effectively weight the criteria for an improved evaluation by using this new entropy measure. The introduced distance measure finds application in the TODIM approach, allowing the execution of TODIM method steps within a fuzzy environment until the determination of one alternative’s dominance over another—an advancement beyond traditional approaches. We apply our enhanced fuzzy TODIM method to a real-life construction project management problem from the literature and compare the results with those in the literature and obtained from other MCDM methods. Our proposed measures are robust, as demonstrated by the sensitivity analysis that varied the weights of group utility and individual regret, with the results visualized in a 3D sensitivity plot. The findings demonstrate the superiority of our method in providing a more comprehensive evaluation of alternatives, making it a useful tool for decision-makers facing complex and uncertain decision-making problems. (shrink)

Transformed RAVAL NOTATION solves Syllogism problems very quickly and accurately. This method solves any categorical syllogism problem with same ease and is as simple as ABC… In Transformed RAVAL NOTATION, each premise and conclusion is written in abbreviated form, and then conclusion is reached simply by connecting abbreviated premises.NOTATION: Statements (both premises and conclusions) are represented as follows: Statement Notation a) All S are P, SS-P b) Some S are P, S-P c) Some S are not P, S / PP (...) d) No S is P, SS / PP (- implies are and / implies are not) All is represented by double letters; Some is represented by single letter. No S is P implies No P is S so its notation contains double letters on both sides. -/- RULES: (1) Conclusions are reached by connecting Notations. Two notations can be linked only through common linking terms. When the common linking term multiplies (becomes double from single), divides (becomes single from double) or remains double then conclusion is arrived between terminal terms. (Aristotle’s rule: the middle term must be distributed at least once) -/- (2)If both statements linked are having – signs, resulting conclusion carries – sign (Aristotle’s rule: two affirmatives imply an affirmative) -/- (3) Whenever statements having – and / signs are linked, resulting conclusion carries / sign. (Aristotle’s rule: if one premise is negative, then the conclusion must be negative) -/- (4)Statement having / sign cannot be linked with another statement having / sign to derive any conclusion. (Aristotle’s rule: Two negative premises imply no valid conclusion) Syllogism conclusion by Tranformed Raval’s Notation is in accordance with Aristotle’s rules for the same. It is visually very transparent and conclusions can be deduced at a glance, moreover it solves syllogism problems with any number of statements and it is quickest of all available methods. By new Raval method for solving categorical syllogism, solving categorical syllogism is as simple as pronouncing ABC and it is just continuance of Aristotle work on categorical syllogism. It’s believed that Boole's system could handle multi-term propositions and arguments, whereas Aristotle could handle only two-termed subject-predicate propositions and arguments. For example, it’s claimed that Aristotle's system could not deduce: "No quadrangle that is a square is a rectangle that is a rhombus" from "No square that is a quadrangle is a rhombus that is a rectangle" or from "No rhombus that is a rectangle is a square that is a quadrangle". Above conclusion is reached at a glance with Raval's Notations (Symbolic Aristotle’s syllogism rules). Premise: "No (square that is a quadrangle) is a (rhombus that is a rectangle)" Raval's Representations: S – Q, S – Q / Rh – Re, Rh – Re Premise: "No (rhombus that is a rectangle) is a (square that is a quadrangle)". Raval's Representations: Rh – Re, Rh – Re / S – Q, S - Q Conclusion: "No (quadrangle that is a square) is a (rectangle that is a rhombus)" Raval’s Representations: Q – S, Q – S / Re – Rh, Re – Rh As “ Q – S” follows from “S – Q” and “Re – Rh” from “Rh – Re”. Given conclusion follows from the given premises. Author disregards existential fallacy, as subset of a null set has to be a null set. -/- . (shrink)

The present text contains a critical edition of Peter of Palude’s question of divine concurrence, found in his Sentences commentary, book II, d. 1, q. 4. The question concerns whether God is immediately active in every action of a creature, and if yes, how we should understand this divine concurrence. Peter, just as elsewhere in his commentary, considers at length the opinions of other thinkers — especially those of Giles of Rome, Durand of St.-Pourçain, and Thomas Aquinas — and develops (...) his own answer as a response to theirs. Thus, while Giles maintained that God acts uniformly in every instance of natural causation just as the sun acts uniformly by giving the same light to everything, Peter (following Durand) argues that this is incompatible with the divine creation of multiple things. Second, while Durand maintained that God is only mediately active in the actions of creatures, Peter rejects this opinion because it cannot account for miracles contra naturam (such as the three young men in Nebuchadnezzar’s fire), and because he thinks that God’s immediate action follows from his immediate conservation of creatures. Third, Peter presents Aquinas’s position in detail, and defends it against Durand’s objections; according to this position, God immediately conserves and concurs with every creature, with an action that is numerically distinct from that of the secondary agent. Although as a result of his extensive borrowing, Peter’s text might not be regarded as immensely original, it provides an interesting case study of the Dominican reaction against Durand in the early 1300’s. (shrink)

Aristotle's conception of being is dynamic. He believes that a thing is most itself when engaged in its proper activities, governed by its nature. This paper explores this idea by focusing on Metaphysics , a text that continues the investigation of substantial being initiated inMetaphysics Z. Q.1 claims that there are two potentiality-actuality distinctions, one concerned with potentiality in the strict sense, which is involved in change, the other concerned with potentiality in another sense, which he says is more useful (...) for the present project. His present project is the investigation of substantial being, and the relevant potentiality is the potentiality for activity, the full manifestation of what a thing is. I explore Aristotle's two potentiality-actuality distinctions AND argue that the second distinction is modeled on the first, with one crucial modification. Whereas a change is brought about by something other than the object or by the object itself considered as other (as when a doctor cures himself), an activity is brought about byte object itself considered as itself. This single modification yields an important difference: whereas a change leads to a state other than the one an object was previously in, an activity maintains or develops what an object already is. (shrink)

Spinoza's account of belief entails that if A has two ideas, p and q, with incompatible content, A believes that p if the idea of p is stronger than the idea of q. This seems to leave little space for dominant non-beliefs, or cases in which there is discord between one's beliefs and one's affective-behavioral responses. And yet Spinoza does allow for two classes of dominant non-beliefs: efficacious fictions [fictiones] and ideas that conduce to akrasia. I show how Spinoza can (...) account for dominant non-beliefs within his model of cognition by distinguishing between the doxastic and the affective powers of ideas and by suggesting that doxastic power is best understood diachronically. While other scholars have stressed the elegance of Spinoza's account of ideas, this paper highlights the sophistication and flexibility of his account. (shrink)

In this paper, I inspect the grounds for the mature Spinozist argument for substance monism. The argument is succinctly stated at Ethics Part 1, Proposition 14. The argument appeals to two explicit premises: (1) that there must be a substance with all attributes; (2) that substances cannot share their attributes. In conjunction with a third implicit premise, that a substance cannot not have any attribute whatsoever, Spinoza infers that there can be no more than one substance. I begin the inspection (...) with the analysis of the first premise, which is provided in the form of the four proofs of God’s existence in Ethics Part 1, Proposition 11. While demonstrating how Spinoza adopts a progressive approach, where the fourth proof of God’s existence is more successful and persuasive than the third, which is more successful than the second, etc., I also unpack concepts central to Spinoza’s thinking here, including the concepts of reason (ratio) and power (potesta or potentia). I then analyze the second premise of the Spinozist argument for substance monism, as established by Ethics Part 1, Proposition 4 in conjunction with Ethics Part 1, Proposition 5. I take up and respond to the objection attributed to Leibniz that a substance p can have the attributes x and y and a substance q can have the attributes y and z, and thus that substances can share some attributes while remaining distinct. Throughout the study, my attention is focused on the argumentative procedures Spinoza adopts. This yields a close, internalist reading of the text where Spinoza effectively embraces substance monism. In conclusion to this study, I underscore to the originality of Spinoza’s argument for seventeenth century theories of substance. (shrink)

he present study aims to offer an analysis of the analogical discourse on God from STh. I, q.13 a.3-4. Thomas Aquinas's claim consists, mainly, of presenting a solution to the problem of the foundations that support the theological discourse on God. But before analyzing this question, our author has established the conditions of possibility for the knowledge about God. It is just this specific framework of previous questions the place of the debate on the analogy, which is considered, in addition, (...) as a type of indirect language that points beyond itself. Keywords: Analogy, Proportion, Proportionality, Knowledge, Thomas Aquinas. El presente estudio pretende ofrecer un análisis del discurso analógico sobre Dios a partir de STh. I, q.13, aa.3-4. La intención de Tomás de Aquino consiste, principalmente, en presentar una solución al problema de los fundamentos que asisten al discurso teológico sobre Dios. Pero antes de analizar dicha cuestión, nuestro autor ha establecido las condiciones de posibilidad para un conocimiento sobre el mismo. Es precisamente en este marco concreto de cuestiones previas donde se sitúa el debate sobre la analogía, considerada, además, como un tipo de lenguaje indirecto que apunta más allá de sí mismo. Palabras clave: analogía, proporción, proporcionalidad, conocimiento, Tomás de Aquino. T. (shrink)

Where does the necessity that seems to accompany causal inferences come from? “Why [do] we conclude that … particular causes must necessarily have such particular effects?” In 1.3.6 of the Treatise, Hume entertains the possibility that this necessity is a function of reason. However, he eventually dismisses this possibility, where this dismissal consists of Hume’s “negative” argument concerning induction. This argument has received, and continues to receive, a tremendous amount of attention. How could causal inferences be justified if they are (...) not justified by reason? If we believe that p causes q, isn’t it reason that allows us to conclude q when we see p with some assurance, i.e. with some necessity? (shrink)

Reigning orthodoxy in the philosophical study of human rational capacities, such as being able to act intentionally and to reason, is to characterize them in causal psychological terms. That is, to analyze these capacities in terms of mental states and their causal relations. It is against this background that the work of G.E.M. Anscombe has gained renewed interest. The main goal of this chapter is twofold. First, I will explicate Anscombe’s philosophical approach by analyzing her account of intentional action and (...) by relating it to the misperceptions of that account in (the history of) the philosophy of action. Importantly, Anscombe holds that an analysis of intentional action in terms of what it is, e.g., an event with certain specific features, cannot provide non-circular explanations. Instead, following Aristotle, Thomas Aquinas and Wittgenstein, Anscombe seeks to explicate intentional action in terms of its form, i.e., the way in which it exists. The second aim of the chapter is to show the import of Anscombe’s approach by applying it to the philosophy of reasoning. After discussing two main problems for the current orthodox view in epistemological debates on reasoning, I will propose an alternative Anscombe-inspired view of reasoning. In this so-called form view of reasoning, reasoning is characterized as a tool to drag out implications, embodied in judgments of the form p as following from q. The upshot of the chapter is that concepts of our rational capacities do not depict certain psychological states or processes, but rather our involvement with rational connections that exist in our lives and practices. (shrink)

Scrutiny (1932-1953) was one of the most important critical reviews of the last century. Its editors and contributors included F. R. Leavis, Q. D. Leavis, Denys Thompson, L. C. Knights, D. W. Harding, W. H. Mellers, H. A. Mason, among others. In recasting Scrutiny’s critique of mass culture by way of Alisdair MacIntyre’s After Virtue (1981), I hope to show that the Scrutiny project not only dramatizes the conflicts internal to what MacIntyre calls emotivist culture, but provides a new way (...) of looking at the group’s relation to the culture industry, its purported elitism, and its deep ties with a communitarian rather than socialist politics. (shrink)

Richard Arthur and I proposed that the present in Minkowski spacetime should be thought of as a small causal diamond. That is, given two timelike separated events p and q, with p earlier than q, they suggested that the present is the set I+ ∩ I-. Mauro Dorato presents three criticisms of this proposal. I rebut all three and then offer two more plausible criticisms of the Arthur/Savitt proposal. I argue that these criticisms also fail.

Basic Argument forms Modus Ponens , Modus Tollens , Hypothetical Syllogism and Dilemma contains ‘If –then’ conditions. Conclusions from the Arguments containing ‘If –then’ conditions can be deduced very easily without any significant memorization by applying Raval’s method. Method: In Raval’s method If P then Q is written as P (2$) – Q (1$) and viewed numerically, in currency form i.e. P is viewed as 2$ and Q is viewed as 1$ and implications from this notations are valid conclusions. If (...) one has 2$ then he definitely have 1$. If one do not have 2$, he may not have 1$. If one is having 1$, he may not have 2$. If one do not have 1$, he definitely doesn’t have 2$. (shrink)

In this chapter, I shall consider a number of connections between various ideas of the theory of styles of reasoning and the issue of the contingency and inevitability of science. By ‘contingency issue’ it is meant the question as to whether the history of a particular branch of our science could have taken a different route and provided results incompatible with those of our actual science. Apart from Hacking’s recent comments, the discussions on the contingency issue have not involved the (...) notion of style of reasoning. I will fill this gap in the literature by drawing some important implications for the issue of contingency from the theory of styles of reasoning that I have developed so far. I shall address four fundamental questions. First of all, in the next section I shall discuss to which extent the emergence of styles of reasoning at a certain point of history is a contingent circumstance. In the following section I shall ask whether the endurance of styles of reasoning was inevitable by tackling the connected question as to why the styles are long lasting. Afterwards, I shall focus on the growth of knowledge by dealing with questions such as: if a certain style of reasoning continues to be employed and if Q is a ‘live question’, is science bound to converge on a single answer to Q? Finally, on the basis of my previous reflections I shall look into the question of the convergence of science in the long run. The answers to these questions will rely on some basic assumptions of the theory of style of reasoning and imply a picture of the evolution of sciences in which both contingency and inevitability play a key role. (shrink)

Among the most widely discussed of William of Ockham’s texts on ethics is his Quodlibet III, q. 14. But despite a large literature on this question, there is no consensus on what Ockham’s answer is to the central question raised in it, specifically, what obligations one would have if one were to receive a divine command to not love God. (Surprisingly, there is also little explicit recognition in the literature of this lack of consensus.) Via a close reading of the (...) text, I argue, contrary to much of the literature, that Ockham believes that if one were given this command, one would be obligated to refrain from loving God and would also be able to fulfill this obligation without any moral wrongdoing. Among other results, this study will help clarify Ockham’s much-discussed claim that loving God is “a necessarily virtuous act.”. (shrink)

St. Thomas’s Third Way to prove the existence of God, “Of Possibility and Necessity” (ST 1, q.2, art. 3, response) is one of the most controverted passages in the entire Thomistic corpus. The central point of dispute is that if there were only possible beings, each at some time would cease to exist and, therefore, at some point in time nothing would exist, and because something cannot come from nothing, in such an eventuality, nothing would exist now—a reductio ad absurdum (...) conclusion. Therefore, at least one necessary being must exist. Generations of critics and defenders have contended over St. Thomas’s proof. This article argues that the principle of pros hen analogy is implicit in the Third Way and that once identified explains the ontological dependency of possible beings, as secondary analogates, on the first necessary being, as primary analogate. Thus, without the necessary being as primary analogate, possible beings simply could not exist. The fact that they do exist is evidence for the existence of the necessary being. St. Thomas makes synthesizes the principle of pros hen analogy, as found in Aristotle’s Metaphysics, with the Neoplatonic principle of participation. Aristotle develops pros hen analogy in contradistinction to univocal and equivocal predication as well as to genus in Metaphysics 4.2, 11.3, 12.3-5. Since Scotus and re-enforced by modern analytic logic, philosophers have almost universally regarded any kind of analogical predication as a sub-category of equivocal predication and, thus, implicitly occlude the possibility of considering pros hen analogy in their readings of the Third Way. Distinction of per se and per accidens infinite regress and of radical and natural contingency are also central to understanding the Third Way. While resolving apparent problems in the Third Way, the article also seeks to rehabilitate the doctrine of pros hen analogy as a basic principle in Thomistic and, indeed, Aristotelian metaphysics. (shrink)

According to some critics, Aristotle’s elenctic defence (elenchos, elenchus) of the Law of Non-Contradiction (Metaphysics IV) would be ineffective because it viciously begs the question. After briefly recalling the elenctic refutation of the denier of the Law of Non-Contradiction, I will first focus on Filippo Costantini’s objection to the elenchus, which, in turn, is based on the dialetheic account of negation developed by Graham Priest. Then, I will argue that there is at least one reading of the elenchus that might (...) not be viciously question-begging. In doing so, I will leverage, reinterpret and adjust the distinction between two senses of epistemic dependence, offered by Noah Lemos and originally based on some thoughts about George Edward Moore’s ‘proof of an external world.’ The key point of my counter-objection to recover the elenchus is to use the distinction between a necessary-condition relation between propositions (p only if q) and a grounding relation between facts (the fact that an epistemic agent S believes that p is grounded in the fact that S believes that q), where p and q are the content of S’s beliefs. (shrink)

In the present article relationship of thought and language for the priority aspect, from al-Fārābī’s point of view is discussed. Based on the three meanings of nuṭq (: speech), speaking is a process in which human soul is concerned with the three levels of intellectual faculty, apprehended objects in the mind as well as the expression by language. Then, this reveals a close and inseparable relationship between language and thought. Again it is suggested that relying on the tripartite theory of (...) word, world, and intelligibles, by Al-Fārābī, at the time of the process of speaking, human soul makes use of all knowledge either acquired previously, or the knowledge obtaining as the content of experience in the actual speech situation. Thus, in connection with the priority aspect of the relationship between thought and language, I suppose, in an analytical aspect of priority, there is no priority relation between them, namely, they are interdependent. It can be supported by this view that thought and gaining knowledge are continued even while speaking. Besides, it has been argued that the human soul, as the chief agent of thinking and obtaining knowledge, is not completely passive; then human thought cannot have transcendental supremacy over language. (shrink)

Sandra Halperin's book is a Janus-faced creature. On the one hand, Halperin attempts to retrieve dependency theory, an approach to socio-economic analysis that many have relegated to the dustbin of history. On the other, Halperin attempts to retrieve dependency theory by universalizing it. In doing so, however, she attempts to sever dependency theory from its historical association with the national liberation struggles of the Global South. That Halperin's book takes dependency theory so seriously may perhaps explain why it has (...) been ignored, for it has not been reviewed in any English academic journal as far as I can tell. Yet for those of us who do not believe that dependency theory is dead, this book raises important questions: what are the costs that one incurs when one attempts to retrieve dependency theory by disconnecting it from the Global South struggles to which it has been tethered? This question animates this review. While I argue that Halperin's attempt to revive dependency theory by universalizing it ultimately leads to an erasure of imperialism, the value of this book is precisely that it brings such issues to the forefront. Thus, what is at stake in this book is the relevance of theories of imperialism for the study of the Global South. (shrink)

In this paper, the author spells out St. Bonaventure's magisterial teaching on the possibility of an eternal world, found in his 'Commentaria in II Sententiarum', d. 1, p. 1, a. 1, q. 2. The entirety of this 'quaestio' is treated at length in order to delineate its structure and indicate its reliance on both theological and philosophical premises. Hence, the twofold dependency of St. Bonaventure's position on Scripture and on arguments against an actual infinity is made clear. The author concludes (...) with a Thomistic response to the Seraphic Doctor's position, based solely on the Angelic Doctor's late treatise 'De aeternitate mundi', in which St. Thomas endeavors to place the eternal world question on purely philosophical grounds and also doubts the plausibility of arguments against the possiblity of an actual infinity. (shrink)

Wittgenstein responds in his Notes on Logic to a discussion of Russell's Principles of Mathematics concerning assertion. Russell writes: "It is plain that, if I may be allowed to use the word assertion in a non-psychological sense, the proposition "p implies q" asserts an implication, though it does not assert p or q. The p and the q which enter into this proposition are not strictly the same as the p or the q which are separate propositions." (PoM p35) Wittgenstein (...) replies: "Assertion is merely psychological. In not-p, p is exactly the same as if it stands alone; this point is absolutely fundamental." (NB p95) Wittgenstein's response is intriguing, not least because of the centrality to his Tractatus of the idea that a proposition says something. This paper will examine that idea, distinguishing it from 'merely psychological' assertion, and explore in this context how we should understand the occurrence of a Tractarian proposition within another. (shrink)

Dretske makes arguments in which he suggests three levels of the intentionality of knowledge: (1) a low level belonging to law-like causal relationships between physical properties, (2) a middle level defined in terms of the intensionality of sentences describing knowledge of these properties, and (3) a highest level of human cognition. Acknowledging the need to explain humans’ analytic knowledge, however, he proposes that we know a proposition P analytically when we know that P entails Q, even though P and Q (...) are not identical. -/- I explore examples of deduction involving properties of every-day life, such as being a bachelor, being a stay-at-home mom, and being a consultant. I argue that to make these common sense inferences, the average person has to be aware of both analytical entailments and propositional entailments. While the former simply is knowing that if Emily is a stay-at-home mom, then Emily is female, for example, the latter requires us to be conscious of the (often complex) logical structure given to our beliefs by the deductive connectives AND, NOT, and OR. From an empirical standpoint, there are two general possibilities for reductive accounts of these kinds of awareness. One would be a counterfactually defined set of causal criteria, such as Dretske’s. The other would involve statistical patterns of synaptic connections between neural phenomena, whose firings represent our concepts for AND, NOT, and OR. I argue that neither of these reductive explanations is viable; and that in order to explain the success of our inferences, we must appeal to two kinds of higher cognitive intentionality. First, we usually have some conscious awareness of analytical and propositional entailments when we engage in common sense-based deduction. Second, we often have a conscious intention to think deductively during these inferences, which drives our success. (shrink)

English - language Wikipedia is constantly being plagued by vandalistic contributions on a massive scale. In order to fight them its volunteer contributors deploy an array of software tools and autonomous bots. After an analysis of their functioning and the ‘ coactivity ’ in use between humans and bots, this research ‘ discloses ’ the moral issues that emerge from the combined patrolling by humans and bots. Administrators provide the stronger tools only to trusted users, thereby creating a new hierarchical (...) layer. Further, surveillance exhibits several troubling features : questionable profiling practices, the use of the controversial measure of reputation, ‘ oversurveillance ’ where quantity trumps quality, and a prospective loss of the required moral skills whenever bots take over from humans. The most troubling aspect, though, is that Wikipedia has become a Janus - faced institution. One face is the basic platform of MediaWiki software, transparent to all. Its other face is the anti - vandalism system, which, in contrast, is opaque to the average user, in particular as a result of the algorithms and neural networks in use. Finally it is argued that this secrecy impedes a much needed discussion to unfold ; a discussion that should focus on a ‘ rebalancing ’ of the anti - vandalism system and the development of more ethical information practices towards contributors. (shrink)

Tarixi biliklər məcmusu olan- idrak və onun istiqamətləri, insan hissləri, qavrayış, təsəvvür və onların müasir ictimai həyatdakı əksinin tədqiqi, həm də “müsəlman idrakı” anlayışı İslam fəlsəfəsində xüsusi mövqeyə malikdir. Müxtəlif alimlər ət-Tirmizi, Əbu Əbdullah əl-Haris, Əbu Əbdullah əl-Qurtubi, ibn Həcər əl-Əsqalani və başqalarının bu mövzuda xüsusi yanaşması olmuşdur. Bu məsələ ilə əlaqədar olan “mötəzililər”, “ismailililər”, “mistisistlər” (sufilər), “işraqilər”, həmçinin Şərq peripatetizminin ardıcılları varlıq, bilik təlimləri, “nəfs və qəlbin ölməzliyi” və idrakın əsas elementi olan təcrübə haqqında qiymətli fikir xəzinələri qoymuşlar. Bu (...) da müasir tədrisdə vacib yer tutur. Məqalədə “İdrak fəlsəfəsi” anlayışına nəzər salınmış, onun yaranması, əhəmiyyəti, canlı və cansız təbiətdəki əksi, istiqamətləri və fərqliliyi ilə əlaqədar fikirlər şərh edilmiş, müasir islamşünaslıqda bu anlayışın tədrisində istinad ediləcək məqamlara diqqət yetirilmişdir. Bu məqsədlə araşdırmada “İdrak- beyin xüsusiyyətidir”, “Cansız təbiətdə idrakın əksi”, “Canlı təbiətdə idrakın təzahürü”, “Dərk necə yaranıb?”, “İdrakın mahiyyəti nədir?”, “İdrakın istiqamətləri”, “İdrak dəyişkənliyi” və digər suallara Şərq-Qərq fəlsəfi görüşlərinə əsasən nəzər salınaraq qeyd edilən problemin həllinə cəhd edilmişdir. Zənginliyi və müxtəlifliyi ilə seçilən İslam fəlsəfəsində dini idrak ilə birgə həm də dünyəvi və real düşüncə mövcud olmuşdur. Bu axın yeni dövrün tələbi ilə müəyyən dəyişikliyə uğramış və nəinki Şərq, həm də dünyaya öz təsirini göstərmişdir. (shrink)

Azərbaycan elm tarixini tədqiq edərkən dövrün tələbindən çıxış edilərək ərəb və fars dillərində yazılmış çoxlu əsərlərə rast gəlirik. Bu əsərlərdən biri də dahi alim Nəsirəddin Tusinin fars dilində məntiqə dair yazdığı Əsasül-iqtibas əsəridir. Əsər ilk dəfə 2022-ci ildə nəşr edilərək oxucu və tədqiqatçıların ixtiyarına verilmişdir. Əsasül-iqtibas əsəri XIII əsrin ortalarında yazılmışdır. Əsərin yazılmasından təqribən səkkiz əsrə yaxın vaxt keçmişdir. Bu müddət ərzində həmin əsərdə istifadə edilən bir sıra termin və sözlər artıq müasir fars dilində istifadə edilmir. Əsərin məntiqə aid olması (...) və həm də bir sıra sözlərin günümüzdə istifadə edilməməsi onun tərcüməsini çətinləşdirən amillər kimi qeyd etmək olar. Bundan əlavə burada istifadə edilən bəzi terminlərin gündəlik danışığımzda fərqli mənada istifadə edildiyindən həmin sözlərin və terminlərin izah edilməsi zərurəti yaranmışdır. Habelə orta əsr müəlliflərinin əsərlərinin tədqiqi zamanı eyni bir sözün müxtəlif müəlliflər tərəfindən fərqli mənalarda işlədildiyinin də şahidi oluruq ki, bu da həmin termin və anlayışların Azərbaycan dilinə tərcüməsi zamanı izahının verilməsinə ehtiyac yaradır. Hal-hazırda müraciət etdiyiniz bu kitab Nəsirəddin Tusinin ən mühüm və genişhəcmli əsərlərindən biri olan “Əsasül-iqtibas”-ın tərcüməsi zamanı əsərin orijinalında işlədilmiş ərəb-fars sözlərinin izahlı tərcüməsi yönündə tərtib edilmişdir. Bu lüğətlərin tərcüməsi və izahı ilə tanış olmaqla Nəsirəddin Tusinin ərəb-fars dillərində yazılmış digər əsərlərinin tərcüməsi zamanı da yararlanmaq olar. Müəyyən bir ixtisas və peşəni və ya həmin peşə və ixtisasa aid olan terminləri başa düşmək üçün həmin istiqamət üzrə tərtib edilən terminolji lüğətlərə ehtiyac duyulur. Bu istiqamətdə zaman-zaman müxtəlif ixtisaslar üzrə terminoloji lüğətlərin nəşr edildiyini müşahidə edirik. Azərbaycan dilində məntiqi terminlərin izahından ibarət xüsusi termonoloji lüğətlərin də tərtib edilməsi zərurəti vardır. Çünki məntiq terminlərinin izahınına adətən rus dilində yazılmış ədəbiyyatda, bir neçə terminin izahı verilmiş məntiq kitablarında və ya fəlsəfi terminlərdən ibarət ensiklopediya və lüğətlərdə rast gəlmək mümkündür. Bir tərəfdən, yaranmış boşluğu doldurmaq, digər tərəfdən isə məntiq ixtisası üzrə təhsil alan tələbə və mütəxəssislərə kömək etmək üçün bu lüğəti tərtib etmək qərarına gəldik. 222 sözün izah və tərcüməsindən ibarət olan bu kitabı həmin istiqamətdə olan boşluğu doldurmaq üçün kiçik və eyni zamanda mühüm bir addım hesab etmək olar. Burada sözlərin tərcüməsi ilə yanaşı bir sıra terminlərin izahı da verilmişdir. Əsasən Əsasül-iqtibas adlı məntiqi əsəri tərcümə edərkən qarşıya çıxan çətin və mürəkkəb sözlərin izahının verilməsinə üstünlük verilmişdir. Tərcümə zamanı müxtəlif illərdə nəşr edilən Əsasül-iqtibas əsərlərinə də müraciət edilmişdir. Bu əsərlərin bəzisində Əsasül-iqtibas əsərində istifadə edilən bəzi terminlərin izahı da verilmişdir. Bu izahlar bəzən tərcümə zamanı ifadənin daha səlis və daha dəqiq başa düşülməsinə imkan vermişdir. Bu lüğət kitabı tərtib edilərkən həmin əsərlərdə mövcud olan terminlər və onların izahından da istifadə edilmişdir. Bəzən məntiqi terminlərlə yanaşı kəlam, fəlsəfə və s. elmlərdə istifadə edilən terminləri də qeyd etmişik. Çünki bu terminlər bizə məntiqdə işlədilən bəzi ifadələrin daha asan başa düşülməsinə imkan verəcəkdir. “Əsasül-iqtibasa dair terminlər” lüğəti adlı bu kitabı bu sahədə atılmış ilk addımlardan biri olduğu üçün gələcəkdə daha sanballı və həcmcə daha geniş terminoloji lüğətlərin hazırlanması nəzərdə tutulur. (shrink)

Paraconsistent logics are logical systems that reject the classical principle, usually dubbed Explosion, that a contradiction implies everything. However, the received view about paraconsistency focuses only the inferential version of Explosion, which is concerned with formulae, thereby overlooking other possible accounts. In this paper, we propose to focus, additionally, on a meta-inferential version of Explosion, i.e. which is concerned with inferences or sequents. In doing so, we will offer a new characterization of paraconsistency by means of which a logic is (...) paraconsistent if it invalidates either the inferential or the meta-inferential notion of Explosion. We show the non-triviality of this criterion by discussing a number of logics. On the one hand, logics which validate and invalidate both versions of Explosion, such as classical logic and Asenjo–Priest’s 3-valued logic LP. On the other hand, logics which validate one version of Explosion but not the other, such as the substructural logics TS and ST, introduced by Malinowski and Cobreros, Egré, Ripley and van Rooij, which are obtained via Malinowski’s and Frankowski’s q- and p-matrices, respectively. (shrink)

This essay concerns Heidegger’s assertion that the biography of the poet is unimportant when interpreting great works of poetry. I approach the question in three ways. First, I consider its merits as a principle of literary interpretation and contrast Heidegger’s view with those of other Trakl interpreters. This allows me to clarify his view as a unique variety of non-formalistic interpretation and raise some potential worries about his approach. Second, I consider Heidegger’s view in the context of his broader philosophical (...) project. Viewed this way, Heidegger’s decision to neglect the poet’s biography seems quite reasonable and consistent with his inquiry into the being of language. Finally, I consider Heidegger’s suggestion that Trakl is a kind of mad genius. I recast this paradigmatic figure in terms of what I call the ‘wretched prophet’ and consider some ways in which its appeal sheds light on the crisis of modernity and the aestheticization of politics. (shrink)

This paper explores the unique phenomenology of habit and temporality put forth in Beauvoir’s La Vieillesse. I situate her understanding of temporality in relation to her early work Pyrrhus and Cinéas. I extract her notion of a boundary marked future that decreases anticipation for the future and thus rigidifies habits. In the final section I appropriate the notion of a boundary mark for a cultural phenomenology where we understand boundary marks as constituted by our understandings of ourselves in time and (...) not through aging alone. This cultural boundary mark can be used to understand how societal prejudice operates at the level of lived temporality. (shrink)

This paper deals with prolegomenal stances required for a proper understanding of the paradoxical nature of Heidegger’s Sein und Zeit. It shall be argued that Heidegger’s magnum opus does not inquire into the meaning of being in order to render an answer to the so-called Seinsfrage. In fact, several answers have already been given traditionally, which are founded on the being/beings non-differentiation (being as God, substance, nature, subject, will and so forth), that is, being has been turned into a topic (...) whilst it is essentially non-topical, for only an entity can be accounted for as topical or thematic. This is the reason why assessing Heidegger as the ‘thinker of being’ can be misleading, if not overtly wrong, when by this is meant that being be conceived of as something that can be thematized. (shrink)

Kripke’s puzzle has puts pressure on the intuitive idea that one can believe that Superman can fly without believing that Clark Kent can fly. If this idea is wrong then many theories of belief and belief ascription are built from faulty data. I argue that part of the proper analysis of Kripke’s puzzle refutes the closure principles that show up in many important arguments in epistemology, e.g., if S is rational and knows that P and that P entails Q, then (...) if she considers these two beliefs and Q, then she is in a position to know that.. (shrink)

Scholars have traditionally taken the Marquis de Sade to be a straightforward advocate of immoral hedonism. Without rejecting outright this view, I argue that Sade also presents an insightful theory of the psychology of pleasure, placing him amongst the more insightful psychological thinkers of the late 18th century. This paper outlines Sade’s description of the immoral will, in particular his account of how an agent can come to enjoy the humiliation, torture and murder of others. I argue for the following (...) claims: firstly, that Sade, perhaps despite himself, suggests that the sadistic will is pathological; secondly, that Sade’s work gives a far less flattering view of the sadistic will than is commonly supposed. (shrink)

ABSTRACT It is commonly argued that Kierkegaard’s famous observation that life can be understood backward, but must be lived forward excludes the possibility of intellectual preparation to life. This article suggests the view that, while it is not the case that Kierkegaard has an elaborate vision of thinking about the possibilities of life one faces, he engages the notion of imaginary construction [experimentere] to propose existential prototypes for mental exploration that prepare us for life lived forward. It is concluded that (...) the person capable of imaginary construction has to be able to be firmly in control of the possibilities she faces. In Kierkegaard’s view, such a control requires the grasp of the opposite temporal directions – to be both looking at one’s past and future. Kierkegaard’s employment of such a double temporal vision of existence is modelled on Janus Bifrons, the two-faced god who is effectively able to simultaneously look both backward into the past and forward into the future. (shrink)

This study examines the effects of ownership structure on firm performance in the Vietnamese stock market using a sample of 76 manufacturing companies listed on the Ho Chi Minh Stock Exchange (HOSE) during 2007-2015. Firm performance is measured by Tobin’s Q, and ownership structure is investigated in three different aspects: managerial ownership, block ownership and state ownership.

Tarski's Undefinability of Truth Theorem comes in two versions: that no consistent theory which interprets Robinson's Arithmetic (Q) can prove all instances of the T-Scheme and hence define truth; and that no such theory, if sound, can even express truth. In this note, I prove corresponding limitative results for validity. While Peano Arithmetic already has the resources to define a predicate expressing logical validity, as Jeff Ketland has recently pointed out (2012, Validity as a primitive. Analysis 72: 421-30), no theory (...) which interprets Q closed under the standard structural rules can define nor express validity, on pain of triviality. The results put pressure on the widespread view that there is an asymmetry between truth and validity, viz. that while the former cannot be defined within the language, the latter can. I argue that Vann McGee's and Hartry Field's arguments for the asymmetry view are problematic. (shrink)

q. 16 of John of Naples’ Quodlibet III – Utrum dolor vel passio damnatae animae separatae sit, sicut in subiecto immediato, in eius essentia vel potentia – evokes one of the most delicate debates, both from a theological and philosophical point of view, of scholastic eschatology between the end of the 13th century and the first decades of the 14th: that relating to the action of hellfire (considered, due to the auctoritas of Gregory the Great, corporeal and identical in essence (...) to sublunar fire) on an immaterial reality such as the soul in its state of separation (i.e. in the period between the individual death and the final judgement). The article retraces the way in which (in the well-known q. 2 of Quodlibet VI) John of Naples defends Thomas Aquinas from the suspicion of incurring, with his position, the condemnations of Tempier in 1270 and 1277, and how Aquinas himself tries to explain (especially in q. 26 of his Quaestiones disputatae de veritate) the passio or pain of the soul (both in the state of separation and in that of conjunction), through the double distinction between passio corporalis and passio animalis, and, within the former, between laesio and experimentalis perceptio laesionis. It then analyses q. 16 of Quodlibet III, in which John of Naples identifies the rational appetite – i.e. the will – as the immediate subject of the separate soul’s pain. In the appendix, an edition of John’s question is provided on the basis of the manuscripts Napoli, Biblioteca Nazionale, VII.B. 28 (= N) and Tortosa, Biblioteca de la Catedral, 244 (= T). (shrink)

Postcolonialism stands today in flagrant contradiction with its mission. This assertion should scarcely come as a surprise. Come to think of it: what has postcolonialism done to colonization in the past few decades, save passively reflecting on it and its realities that often do not fit the reality of things? How much leeway does postcolonialism give its critic in expressing opposition to colonization? And how does it rate as a field for serious decolonization? As a start toward answering these questions, (...) or coming close to answering them, the following pages offer a commentary on how I feel about postcolonialism. I will confine myself to one particular reason I consider postcolonialism a dismal failure, which is incontestable and will hopefully startle the dull reader into alertness. I prefer here simple words with a direct message and no opaque subtleties. (shrink)

A subject S's belief that Q is well-grounded if and only if it is based on a reason of S that gives S propositional justification for Q. Depending on the nature of S's reason, the process whereby S bases her belief that Q on it can vary. If S's reason is non-doxastic––like an experience that Q or a testimony that Q––S will need to form the belief that Q as a spontaneous and immediate response to that reason. If S's reason (...) is doxastic––like a belief that P––S will need to infer her belief that Q from it. The distinction between these two ways in which S's beliefs can be based on S's reasons is widely presupposed in current epistemology but––we argue in this paper––is not exhaustive. We give examples of quite ordinary situations in which a well-grounded belief of S appears to be based on S's reasons in neither of the ways described above. To accommodate these recalcitrant cases, we introduce the notion of enthymematic inference and defend the thesis that S can base a belief that Q on doxastic reasons P1, P2, …, Pn via inferring enthymematically Q from P1, P2, …, Pn. (shrink)