Resumen: Este artículo trata del método y su relación con la investigación educativa. El objetivo es analizar la relevancia del método en ciencias humanas y sociales, en especial, en educación. Para ello, dividimos este artículo en tres secciones: 1. ¿Hay método? 2. ¿Hay uno o varios métodos? 3. La discusión sobre el método en la investigación educativa. A la primera pregunta, respondemos que hay método. Respondemos a la segunda señalando la necesidad de adoptar un pluralismo metodológico. La tercera sección defiende (...) que las discusiones sobre el método de investigación educativa implican dimensiones ontológicas, epistemológicas y éticas que se han tornado críticas, y se hace una revisión de cada una de ellas. En el apartado conclusivo, sugerimos algunas vías para desanudar esos asuntos críticos en la investigación educativa.: This article deals with method and its relation to educational research. The objective is to analyze the relevance of method in human and social sciences, especially in education. To this end, we divide this article into three sections: 1. Is there a method? 2. Is there one or more methods? 3. The discussion on method in educational research. To the first question, we answer that there is a method. We answer the second question by pointing out the need to adopt methodological pluralism. The third section argues that discussions on the method of educational research involve ontological, epistemological, and ethical dimensions that have become critical, and a review is made of each of them. In the concluding section, we suggest some ways to disentangle these critical issues in educational research. (shrink)

En la obra dramática A puerta cerrada (1944), el filósofo y literato Jean-Paul Sartre plantea la relación interpersonal como plena de conflicto e imposibilidad para llevar a cabalidad los ideales dialógicos. Las conclusiones a las que llega Sartre serán confrontadas con la propuesta del filósofo judío Emmanuel Levinas, con el fin de vislumbrar sus tesis en torno a la alteridad, mostrando cómo, en vez de acuerdos racionales que superen lo diverso y lo engloben en la totalidad, habrá que recibir al (...) Otro y responderle en la trascendencia que exige su infinitud. The Philosopher and Writer Jean-Paul Sartre, in the dramatic work No Exit (1944), claims the inter-subjective relationship is full of conflict and that it is impossible to reach the dialogical ideal. We will confront Sartre´s conclusions from the proposal of the jewish philosopher Emmanuel Levinas in order to see his thesis about otherness. We will explain how, instead of some rational agreements that overcome the diversity inside totality, it is necessary to receive the other and respond to him in the transcendence that Infinity requires. (shrink)

Resumen: Este trabajo se propone revisar la tesis de la proliferación de alternativas, expuesta por Boaventura de Sousa Santos, a la luz de algunas críticas a la tesis de la proliferación de teorías, expuesta por Paul Feyerabend. Se defiende que, aunque no de modo explícito, hay una afinidad entre ambas tesis y, en consecuencia, las debilidades de la segunda afectan a la primera. No obstante, el objetivo básico consiste en mostrar cómo propuestas emergentes, como la ecología de los saberes, antes (...) que insistir en su carácter contraepistemológico, podrían beneficiarse de una discusión epistemológica amplia.: In this paper I review the thesis about the proliferation of alternatives by Boaventura de Sousa Santos, from some criticisms to the thesis of the proliferation of theories by Paul Feyerabend. I claim that, though not in explicit way, there is an affinity between them, therefore the weakness from the second one affects the first one. However, the point is to show how some emergent proposals, as the ecology of knowledges, could benefit from a full epistemological discussion, instead of insisting on its counter-epistemological nature. (shrink)

This qualitative study utilized the narrative approach to determine the advantages and disadvantages of printed modular distance learning in terms of lesson preparation and assessment of students’ outputs based on the experiences of six teachers in a public elementary school in Negros Occidental in the School Year 2021-2022, the strategies they employed in lesson preparation and assessment of students’ outputs, and the insights they gained into their strategies when they engaged in printed modular distance learning modality. The findings reveal the (...) following: (a) Modules are readily available for the only advantage of the printed modular distance learning in terms of lesson preparation; (b) Students’ outputs are well-thought-out for the only advantage of the printed modular distance learning in terms of assessment of students’ outputs; (c) Lessons are inappropriate and lesson preparation is delayed for the disadvantages of printed modular distance learning in terms of lesson preparation; (d) The authenticity of students’ outputs is dubitable for the only disadvantage of printed modular distance learning; (e) Be creative and flexible for the strategies employed by teachers in lesson preparation; (f) Verify the authenticity for the only strategy employed by teachers in the assessment of students’ outputs; (g) Flexibility and creativity may make lesson preparation easy for the insights gained by teachers into their strategies in terms of lesson preparation; and (h) Time management and appropriate assessment tools may facilitate assessment of students’ outputs for the insights gained by teachers into their strategies in terms of assessment of students’ outputs. The teachers were able to prepare their lessons and assess their students’ outputs despite the drawbacks of printed modular distance learning with effective strategies. (shrink)

This paper defends a novel account of how to determine the intrinsic value of possible worlds. Section 1 argues that a highly intuitive and widely accepted account leads to undesirable consequences. Section 2 takes the first of two steps towards a novel account by clarifying and defending a view about value-contribution that is based on some of W. D. Ross’ claims about the value of pleasure. Section 3 takes the second step by clarifying and defending a view about value-suppression that (...) is based on Ross’ claims about the interplay between prima-facie duties. Section 4 states and defends the account that I call Rossian Totalism. According to this account, the atoms of intrinsic value within a world only sometimes contribute their intrinsic value to the value of that world. (shrink)

Contemporary studies in unconscious cognition are essentially founded on dissociation, i.e., on how it dissociates with respect to conscious mental processes and representations. This is claimed to be in so many and diverse ways that one is often lost in dissociation. In order to reduce this state of confusion we here carry out two major tasks: based on the central distinction between cognitive processes and representations, we identify and isolate the main dissociation paradigms; we then critically analyze their key tenets (...) and reported findings. (shrink)

Logic arguably plays a role in the normativity of reasoning. In particular, there are plausible norms of belief/disbelief whose antecedents are constituted by claims about what follows from what. But is logic also relevant to the normativity of agnostic attitudes? The question here is whether logical entailment also puts constraints on what kinds of things one can suspend judgment about. In this paper I address that question and I give a positive answer to it. In particular, I advance two logical (...) norms of agnosticism, where the first one allows us to assess situations in which the subject is agnostic about the conclusion of a valid argument and the second one allows us to assess situations in which the subject is agnostic about one of the premises of a valid argument. (shrink)

In this paper, I offer two counterexamples to the so-called ‘Uniqueness Thesis.’ As one of these examples rely on the thesis that it is possible for a justified belief to be based on an inconsistent body of evidence, I also offer reasons for this further thesis. On the assumption that doxastic justification entails propositional justification, the counterexamples seem to work.

For millennia, knowledge has eluded a precise definition. The industrialization of knowledge (IoK) and the associated proliferation of the so-called knowledge communities in the last few decades caused this state of affairs to deteriorate, namely by creating a trio composed of data, knowledge, and information (DIK) that is not unlike the aporia of the trinity in philosophy. This calls for a general theory of knowledge (ToK) that can work as a foundation for a science of knowledge (SoK) and additionally distinguishes (...) knowledge from both data and information. In this paper, I attempt to sketch this generality via the establishing of both knowledge structures and knowledge systems that can then be adopted/adapted by the diverse communities for the respective knowledge technologies and practices. This is achieved by means of a formal–indeed, mathematical–approach to epistemological matters a.k.a. formal epistemology. The corresponding application focus is on knowledge systems implementable as computer programs. (shrink)

In this paper I present reasons for us to accept the hypothesis that suspended judgment has correctness conditions, just like beliefs do. Roughly put, the idea is that suspended judgment about p is correct when both p and ¬p might be true in view of certain facts that characterize the subject’s situation. The reasons to accept that hypothesis are broadly theoretical ones: it adds unifying power to our epistemological theories, it delivers good and conservative consequences, and it allows us to (...) assess processes of reasoning involving attitudes of suspended judgment. (shrink)

Ontologies are some of the most central constructs in today's large plethora of knowledge technologies, namely in the context of the semantic web. As their coinage indicates, they are direct heirs to the ontological investigations in the long Western philosophical tradition, but it is not easy to make bridges between them. Contemporary ontological commitments often take causality as a central aspect for the ur-segregation of entities, especially in scientific upper ontologies; theories of causality and philosophical ontological investigations often go hand-in-hand, (...) and were essentially inseparable in medieval thought. This constitutes the foundation for a bridge, and this article analyzes the causality-based ontology of the late medieval philosopher Dietrich of Freiberg from the viewpoint of today's upper-ontology engineering. In this bridging attempt, it offers a translation into English of the first part of Dietrich's De origine (abbreviated title) that is a compromise between traditional scholarly translations of medieval Latin philosophical texts and contemporary ontology. (shrink)

Are philosophy and literature allies or enemies in Jorge Luis Borges's fictions? In this paper, I argue that Borges can satisfy membership in the allies camp because his fictions provide the imaginative scenarios the allies believe are so necessary to this coalition; however, because his stories question philosophy's hold on reality, they can also seem to fall into the enemies camp by countervailing any claim philosophy has on reality and truth; although, ultimately, the manner in which Borges forges an (...) alliance between philosophy and literature will be for reasons not traditionally accepted by those in either the allies or enemies camps. (shrink)

To most of us – believers and non-believers alike – the possibility of a perfect God co-existing with the kinds of evil that we see calls out for explanation. It is unsurprising, therefore, that the belief that God must have justifying reasons for allowing all the evil that we see has been a perennial feature of theistic thought. Recently, however, a growing number of authors have argued that the existence of a perfect God is compatible with the existence of gratuitous (...) evil. Given powerful, millenia-long sensibilities about power and love and justice, it isn’t hard to find that suggestion simply incredible. Nonetheless, in this paper I will argue that the most prominent theistic alternatives to what has seemed incredible to most of us throughout most of history are themselves patently unacceptable for the theist as well. On any of the most widely accepted accounts of how God could have justifying reasons for permitting some evils, God’s existence means that we have justifying reasons for perpetrating and allowing every evil that we see. That's hard to swallow too. If I’m right about all of this, then two competing outcomes seem to present themselves as a possible result. On the one hand, for the theist, the apparently outrageous suggestion that the existence of a perfect God is compatible with gratuitous evil no longer looks like it faces a formidable, hard-to-resist alternative. On the other hand, some like me might think that my arguments go no distance at all towards dispelling the incredibility of the gratuitous evil nouvelle vague. On this line, theism may seem now to be between the rock and the hard place: it seems hard to make sense of the existence of a perfect God whether or not He has justifying reasons for allowing all the evil that we see. (shrink)

An analysis of--yet another--case of academic failure in multi- and interdisciplinarity. An editorial of the Journal of Knowledge Structures & Systems.

Foundational ontologies, central constructs in ontological investigations and engineering alike, are based on ontological categories. Firstly proposed by Aristotle as the very ur- elements from which the whole of reality can be derived, they are not easy to identify, let alone partition and/or hierarchize; in particular, the question of their number poses serious challenges. The late medieval philosopher Dietrich of Freiberg wrote around 1286 a tutorial that can help us today with this exceedingly difficult task. In this paper, I discuss (...) ontological categories and their importance for foundational ontologies from both the contemporary perspective and the original Aristotelian viewpoint, I provide the translation from the Latin into English of Dietrich's De origine II with an introductory elaboration, and I extract a foundational ontology–that is in fact a single-category one–from this text rooted in Dietrich's specification of types of subjecthood and his conception of intentionality as causal operation. (shrink)

Throughout the present text, an account of the main contributions of Luis Villoro Toranzo will be made as a tribute to three years after his death.

I reinforce my defense of permissivism about the rationality of doxastic attitudes on the face of a certain body of evidence against criticism published in this journal by Anantharaman. After making some conceptual clarifications, I manage to show that at least one of my original arguments pro-permissivism is left unscathed by Anantharaman's points.

In Leibniz’s New Essays stands out, within many important topics, his doctrine of innate ideas, which supposes the division between sense knowledge and innate knowledge and implies the distinction between truths of reason and truths of fact. That doctrine is particularly relevant for Leibniz’s philosophy, but implicitly entails the epistemological difference between belief, on one hand, and certainty, on the other. In this paper I outline, according to my interpretation, how Leibniz explains that humans can have certainty about innate ideas. (...) This topic is important because if Leibniz demonstrates the possibility of having certainty of those ideas, then, it is feasible to believe in its existence. However, if his explanation is unsatisfactory his metaphysical doctrine would be seriously weakened and, at the same time, both skepticism and Locke’s empiricist doctrine would be reinforced. (shrink)

The van Wijngaarden grammars are two-level grammars that present many interesting properties. In the present article I elaborate on six of these properties, to wit, (i) their being constituted by two grammars, (ii) their ability to generate (possibly infinitely many) strict languages and their own metalanguage, (iii) their context-sensitivity, (iv) their high descriptive power, (v) their productivity, or the ability to generate an infinite number of production rules, and (vi) their equivalence with the unrestricted, or Type-0, Chomsky grammars.

Given plausible assumptions about the nature of evidence and undercutting defeat, many believe that the force of the evidential problem of evil depends on sceptical theism’s being false: if evil is...

Why should we avoid incoherence? An influential view tells us that incoherent combinations of attitudes are such that it is impossible for all of those attitudes to be simultaneously vindicated by the evidence. But it is not clear whether this view successfully explains what is wrong with certain akratic doxastic states. In this paper I flesh out an alternative response to that question, one according to which the problem with incoherent combinations of attitudes is that it is impossible for all (...) of those attitudes to be simultaneously knowledgeable. This alternative response explains what is wrong with akratic combinations of attitudes using commonly accepted epistemological theses. The paper still shows how this proposal is able to explain the badness of incoherent combinations involving the absence of attitudes, suspended judgment and credence. These explanations deploy the notions of knowledge and being in a position to know, instead of the notion of responding properly to the evidence. Finally, I suggest that this picture can be generalized to the realm of practical rationality as well. (shrink)

3rd ed, 2021. A circumscription of the classical theory of computation building up from the Chomsky hierarchy. With the usual topics in formal language and automata theory.

One of the few points of agreement between most theists and non-theists working on the problem of evil is that the existence of a perfect God is incompatible with the existence of pointless evil. In a series of influential papers, however, Peter van Inwagen has argued that careful attention to the reasoning behind this claim reveals fatal difficulties related to the Sorites Paradox. In this paper, I explain van Inwagen’s appeal to sorites reasoning, distinguish between two different arguments in his (...) work, and argue that they both commit the same so-far-unnoticed mistake. (shrink)

Aesthetic subjectivism takes the truth of aesthetic judgments to be relative to the individual making that judgment. Despite widespread suspicion, however, this does not mean that one cannot be wrong about such judgments. Accordingly, this does not mean that one cannot gain higher-order evidence of error and fallibility that bears on the rationality of the aesthetic judgment in question. In this paper, we explain and explore these issues in some detail.

Deontological evidentialism is the claim that we ought to form and maintain our beliefs in accordance with our evidence. In this paper, I criticize two arguments in its defense. I begin by discussing Berit Broogard’s use of the distinction between narrow-scope and wide-scope requirements against W.K. Clifford’s moral defense of. I then use this very distinction against a defense of inspired by Stephen Grimm’s more recent claims about the moral source of epistemic normativity. I use this distinction once again to (...) argue that Hilary Kornblith’s criticism of Richard Feldman’s defense of is incomplete. Finally, I argue that Feldman’s defense is insensitive to the relation between normative requirements and privileged values: values that have normative authority over us. (shrink)

On how medieval philosophy is not (only) theology.

James Sterba has recently argued that the free will defense fails to explain the compossibility of a perfect God and the amount and degree of moral evil that we see. I think he is mistaken about this. I thus find myself in the awkward and unexpected position, as a non-theist myself, of defending the free will defense. In this paper, I will try to show that once we take care to focus on what the free will defense is trying to (...) accomplish, and by what means it tries to do so, we will see that Sterba’s criticism of it misses the mark. (shrink)

My starting point is what I call the Normative Authority Conception of justification, where S is justified in their belief that p at t (to some degree n) if and only if their believing that p at t is not ruled out by epistemic norms that have normative authority over S at t. With this in mind, this paper develops an account of doxastic justification by first developing an account of the normative authority of epistemic norms. Drawing from work in (...) political philosophy, I argue that (a) the cognitive and evaluative commitments and concerns behind our actual practices of holding each other and ourselves accountable for our beliefs reveal which epistemic norms we have consented to be under, and that (b) it is because we have consented to be under the authority of these norms – by actually holding ourselves and others accountable to them – that they in turn have normative authority over us. By connecting the authority of epistemic norms to the authority we have over ourselves in this way, the resulting account of doxastic justification (i) explains why it can be appropriate to criticize, resent, or sanction someone for having unjustified beliefs, (ii) avoids the phenomena of normative alienation and normative parochialism, and (iii) respects the social and collective nature of epistemic justification. (shrink)

The tendency to idealise artificial intelligence as independent from human manipulators, combined with the growing ontological entanglement of humans and digital machines, has created an “anthrobotic” horizon, in which data analytics, statistics and probabilities throw our agential power into question. How can we avoid the consequences of a reified definition of intelligence as universal operation becoming imposed upon our destinies? It is here argued that the fantasised autonomy of automated intelligence presents a contradistinctive opportunity for philosophical consciousness to understand itself (...) anew as holistic and co-creative, beyond the recent “analytic” moment of the history of philosophy. Here we introduce the concept of “crealectic intelligence”, a meta-analytic and meta-dialectic aspect of consciousness. Intelligent behaviour may consist in distinguishing discrete familiar parts or reproducible functions in the midst of noise via an analytic process of segmentation; intelligence may also manifest itself in the constitution of larger wholes and dynamic unities through a dialectic process of association or assemblage. But, by contrast, crealectic intelligence co-creates realities in the image of an ideal or truth, taking into account the desiring agent imbued with a sense of possibility, in a relationship not only with the Real but also with the creative sublime or “Creal”. (shrink)

This is not a guide for your writing process. You should write in whatever way expressing and making sense of your ideas feels most natural and most productive to you. This is a guide for organizing your ideas, after you have captured some of them in fits and starts of prose, into a particular kind of final product: the basic philosophy paper.

Berkeley was a philosopher who wrote about such diverse topics as natural philosophy, political philosophy, mathematics, economy, and theology. Within this broad range of interests, his concern about the infinite spirit stands out; thus, the aim of this paper is to trace the origins of Berkeley´s conception of God, an issue which is already prefigured in the Philosophical Commentaries. The importance of knowing and analyze the notes that make up the Commentaries lies in that they make it possible to understand (...) not only how the incipient immaterialist philosophy was established, but above all –being purpose of this paper– what features and role God acquired within it. (shrink)

Paul Silva has recently argued that doxastic justification does not have a basing requirement. An important part of his argument depends on the assumption that doxastic and moral permissibility have a parallel structure. I here reply to Silva's argument by challenging this assumption. I claim that moral permissibility is an agential notion, while doxastic permissibility is not. I then briefly explore the nature of these notions and briefly consider their implications for praise and blame.

The paper is concerned with the rational requirements for suspended judgment, or what suspending judgment about a question rationally commits one to. It shows that two purported rational requirements for suspended judgment cannot both be true at the same time, at least when the entailment relation between questions is understood a certain way. The first one says that one is rationally required to suspend judgment about those questions that are entailed by the questions that one already suspends judgment about. The (...) second one says that one is rationally required to believe the presuppositions of the questions one suspends judgment about. Two plausible solutions to the problem are discussed. One of them explicates the relation of entailment between questions in an alternative manner, and the other one rejects the presupposition requirement. Either way, a closure requirement for suspended judgment can be maintained which is analogous to the closure requirement for belief. Whereas belief is ideally closed under entailment between propositions, suspended judgment is ideally closed under entailment between questions. (shrink)

Not focusing on the history of classical logic, this book provides discussions and quotes central passages on its origins and development, namely from a philosophical perspective. Not being a book in mathematical logic, it takes formal logic from an essentially mathematical perspective. Biased towards a computational approach, with SAT and VAL as its backbone, this is an introduction to logic that covers essential aspects of the three branches of logic, to wit, philosophical, mathematical, and computational.

Deontological evidentialism is the claim that S ought to form or maintain S’s beliefs in accordance with S’s evidence. A promising argument for this view turns on the premise that consideration c is a normative reason for S to form or maintain a belief that p only if c is evidence that p is true. In this paper, I discuss the surprising relation between a recently influential argument for this key premise and the principle that ought implies can. I argue (...) that anyone who antecedently accepts or rejects this principle already has a reason to resist either this argument’s premises or its role in support of deontological evidentialism. (shrink)

Deontological internalism is the family of views where justification is a positive deontological appraisal of someone's epistemic agency: S is justified, that is, when S is blameless, praiseworthy, or responsible in believing that p. Brian Weatherson discusses very briefly how a plausible principle of ampliative transmission reveals a worry for versions of deontological internalism formulated in terms of epistemic blame. Weatherson denies, however, that similar principles reveal similar worries for other versions. I disagree. In this article, I argue that plausible (...) principles of ampliative transmission reveal a worry for deontological internalism in general. (shrink)

A. Newell and H. A. Simon were two of the most influential scientists in the emerging field of artificial intelligence (AI) in the late 1950s through to the early 1990s. This paper reviews their crucial contribution to this field, namely to symbolic AI. This contribution was constituted mostly by their quest for the implementation of general intelligence and (commonsense) knowledge in artificial thinking or reasoning artifacts, a project they shared with many other scientists but that in their case was theoretically (...) based on the idiosyncratic notions of symbol systems and the representational abilities they give rise to, in particular with respect to knowledge. While focusing on the period 1956-1982, this review cites both earlier and later literature and it attempts to make visible their potential relevance to today's greatest unifying AI challenge, to wit, the design of wholly autonomous artificial agents (a.k.a. robots) that are not only rational and ethical, but also self-conscious. (shrink)

Genera, typically hand-in-hand with their branching species, are essential elements of vocabulary-based information constructs, in particular scientific taxonomies. Should they also feature in formal ontologies, the highest of such constructs? I argue in this article that the answer is “Yes” and that the question posed in its title also has a Yes-answer: The way medieval ontologists sliced up the world into genera does matter to formal ontology. More specifically, the way Dietrich of Freiberg, a Latin scholastic, conceived and applied strictly (...) generic criteria to slice up the world into its entities can provide some guidelines to the field of formal ontology with respect to not only its contents, but also its scope. In particular, Dietrich's information criterion plays here a central role. (shrink)

The gulf between philosophical and formal ontology can and should be bridged. In this Editorial, I elaborate briefly on this subject.

Viruses and related infectious genetic parasites are the most abundant biological agents on this planet. They invade all cellular organisms, are key agents in the generation of adaptive and innate immune systems, and drive nearly all regulatory processes within living cells.

Epistemologists often describe subjects as being capable of adopting a third kind of categorical doxastic stance regarding whether something is the case, besides belief and disbelief. They deploy a variety of idioms in order to ascribe that stance. In this paper, I flesh out the properties that the third kind of categorical stance is supposed to have and start searching for the best ways to ascribe it. The idioms ‘suspends judgment about whether’ and ‘is agnostic about whether’, among others, are (...) found to be unfit to play the desired role. In the end, I suggest that ‘is in doubt as to whether’ is our best choice among the alternatives surveyed here. (shrink)

What I call the Doxastic Puzzle, is the impression that while each of these claims seems true, at least one of them must be false: (a) Claims of the form ‘S ought to have doxastic attitude D towards p at t’ are sometimes true at t, (b) If Φ-ing at t is not within S’s effective control at t, then it is false, at t, that ‘S ought to Φ at t’, (c) For all S, p, and t, having doxastic (...) attitude D towards p at t is not within S’s effective control at t. All three natural replies to the puzzle have been pursued. Some have claimed that doxastic attitudes like believing that p are, in fact, within our effective control, or sufficiently so. Others have claimed that doxastic ought-claims, strictly speaking, are always false. And some have denied that effective control is required for the adequacy of doxastic ought-claims in general. I here pursue and examine a different strategy. In the first part of this paper, I argue that these claims are not only each true but actually not in tension with each other in the first place. Instead of attempting to dispel the puzzle, this solution proposes to evade it instead: to solve it by properly understanding, and by thereby accepting without contradiction, all of its constitutive claims. In the second part of the paper, I argue that the evasive strategy forces us to re-think our understanding of the place of normative reasons in epistemology. More exactly, it seems to come at the cost of one central way of thinking about our reasons for having doxastic attitudes, one where such reasons are good-standing exemplars of normative reasons in general. The evasive strategy, that is, threatens to lead us very quickly to a deflationary picture of epistemic normativity: it rescues normative talk, but sacrifices normative substance. I conclude by explaining why I think this is more consequential than some have made it out to be, and by suggesting that these consequences are welcome nonetheless. (shrink)

2nd edition. Many-valued logics are those logics that have more than the two classical truth values, to wit, true and false; in fact, they can have from three to infinitely many truth values. This property, together with truth-functionality, provides a powerful formalism to reason in settings where classical logic—as well as other non-classical logics—is of no avail. Indeed, originally motivated by philosophical concerns, these logics soon proved relevant for a plethora of applications ranging from switching theory to cognitive modeling, and (...) they are today in more demand than ever, due to the realization that inconsistency and vagueness in knowledge bases and information processes are not only inevitable and acceptable, but also perhaps welcome. The main modern applications of (any) logic are to be found in the digital computer, and we thus require the practical knowledge how to computerize—which also means automate—decisions (i.e. reasoning) in many-valued logics. This, in turn, necessitates a mathematical foundation for these logics. This book provides both these mathematical foundation and practical knowledge in a rigorous, yet accessible, text, while at the same time situating these logics in the context of the satisfiability problem (SAT) and automated deduction. The main text is complemented with a large selection of exercises, a plus for the reader wishing to not only learn about, but also do something with, many-valued logics. (shrink)

There are many ways in which a speaker can confuse their audience. In this paper, I will focus on one such way, namely, a way of talking that seems to manifest a cross-level kind of cognitive dissonance on the part of the speaker. The goal of the paper is to explain why such ways of talking sound so twisted. The explanation is two-pronged, since their twisted nature may come either from the very mental states that the speaker thereby makes manifest, (...) or from how the speaker chooses to express themselves (even if there is nothing wrong with their mental states). So-called ‘Moore-paradoxical’ utterances are but one example of the phenomenon, and the explanation of what is wrong about them is subsumed under a more general explanation here—one that captures also the twisted-ness of utterances whereby questions are raised or intentions expressed. (shrink)

W.K. Clifford’s famous 1876 essay The Ethics of Belief contains one of the most memorable lines in the history of philosophy: "it is wrong always, everywhere, and for anyone, to believe anything upon insufficient evidence." The challenge to religious belief stemming from this moralized version of evidentialism is still widely discussed today.