Using “big data” from sensors worn continuously outside the lab, researchers have observed patterns of objective physiology that challenge some of the long-standing theoretical concepts of emotion and its measurement. One challenge is that emotional arousal, when measured as sympathetic nervous system activation through electrodermal activity, can sometimes differ significantly across the two halves of the upper body. We show that traditional measures on only one side may lead to misjudgment of arousal. This article presents daily life and controlled study (...) data, as well as existing evidence from neuroscience, supporting the influence of multiple emotional substrates in the brain causing innervation on different sides of the body. We describe how a theory of multiple arousals explains the asymmetric EDA findings. (shrink)

We respond to the commentaries of Critchley and Nagai, Mendes, Norman, Sabatinelli, and Richter. We agree that a theory needs to make predictions and we elaborate on the predictions we made so far. We do not agree that arousal has to have a precise definition in order to present theory about it; however, we do provide concrete answers to questions raised about multiple arousal theory.

Essentialism can be defined as a metaphysical theory according to which things have essential and accidental properties. In this paper, I will address Avicennian essentialism, that is, essentialism...

Dharmakīrti argues that there is no pramāṇa (valid means of cognition or source of knowledge) for a thesis that is a self-contradiction (svavacanavirodha). That is, self-contradictions such as ‘everything said is false’ and ‘my mother is barren’ cannot be known to be true or false. The contemporary scholar Tillemans challenges Dharmakīrti by arguing that we can know that self-contradictions are false by means of a formal logical inference. The aims of the paper are to answer Tillemans’ challenge from what we (...) take to be Dharmakīrti’s or Dharmakīrtian (someone who is like Dharmakīrti) perspective and to demonstrate the unique features of Dharmakīrti’s view of inference. By so doing, we show that the epistemology in relation to the formal conception of logic that underlies Tillemans’ challenge is problematic from Dharmakīrti’s or Dharmakīrtian perspective. The paper, thus, presents Dharmakīrti’s view of inference and logical reasoning as well as a Dharmakīrtian challenge to the formal conception of logic that is the dominant contemporary conception. (shrink)

We define Kripke semantics for propositional intuitionistic logic with Suszko’s identity. We propose sequent calculus for ISCI along with cut-elimination theorem. We sketch a constructive interpretation of Suszko’s propositional identity connective.

It is well-known that natural axiomatic theories are well-ordered by consistency strength. However, it is possible to construct descending chains of artificial theories with respect to consistency strength. We provide an explanation of this well-orderedness phenomenon by studying a coarsening of the consistency strength order, namely, the$\Pi ^1_1$reflection strength order. We prove that there are no descending sequences of$\Pi ^1_1$sound extensions of$\mathsf {ACA}_0$in this ordering. Accordingly, we can attach a rank in this order, which we call reflection rank, to any$\Pi (...) ^1_1$sound extension of$\mathsf {ACA}_0$. We prove that for any$\Pi ^1_1$sound theoryTextending$\mathsf {ACA}_0^+$, the reflection rank ofTequals the$\Pi ^1_1$proof-theoretic ordinal ofT. We also prove that the$\Pi ^1_1$proof-theoretic ordinal of$\alpha $iterated$\Pi ^1_1$reflection is$\varepsilon _\alpha $. Finally, we use our results to provide straightforward well-foundedness proofs of ordinal notation systems based on reflection principles. (shrink)

One of the most widespread claims combining epistemology and metaphysics in post-Avicennian Islamic philosophy was that every object of thought is real. In Muʿtazilite reading, it was endorsed due to a theory of knowledge which states that knowledge is a connection or relation between the knower and the object known. Avicennists accepted it due to the rule that in a proposition “s is p” if p is something positive s has to be positive and real too. Hence, insofar as one (...) can conceptually distinguish between two non-existent items, they have to be real. In this article, the author presents significant consequences of this theory: the acceptance and denial of non-existent yet real extramental objects; the concept of mental existence as an alternative solution; the conceivability of paraconsistent ideas and their reality or reducibility to some real objects. (shrink)

The liar paradox is still an open philosophical problem. Most contemporary answers to the paradox target the logical principles underlying the reasoning from the liar sentence to the paradoxical conclusion that the liar sentence is both true and false. In contrast to these answers, Buddhist epistemology offers resources to devise a distinctively epistemological approach to the liar paradox. In this paper, I mobilise these resources and argue that the liar sentence is what Buddhist epistemologists call a contradiction with one’s own (...) words. I situate my argument in the works of Dignāga and Dharmakīrti and show how Buddhist epistemology answers the paradox. (shrink)

We consider the well-known provability logic GLP. We prove that the GLP-provability problem for polymodal formulas without variables is PSPACE-complete. For a number n, let L0n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^{n}_0}$$\end{document} denote the class of all polymodal variable-free formulas without modalities ⟨n⟩,⟨n+1⟩,...\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle n \rangle,\langle n+1\rangle,...}$$\end{document}. We show that, for every number n, the GLP-provability problem for formulas from L0n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^{n}_0}$$\end{document} (...) is in PTIME. (shrink)

In this paper, we study finitely axiomatizable conservative extensions of a theoryUin the case whereUis recursively enumerable and not finitely axiomatizable. Stanisław Krajewski posed the question whether there are minimal conservative extensions of this sort. We answer this question negatively.Consider a finite expansion of the signature ofUthat contains at least one predicate symbol of arity ≥ 2. We show that, for any finite extensionαofUin the expanded language that is conservative overU, there is a conservative extensionβofUin the expanded language, such that$\alpha (...) \vdash \beta$and$\beta \not \vdash \alpha$. The result is preserved when we consider eitherextensionsormodel-conservative extensionsofUinstead ofconservative extensions. Moreover, the result is preserved when we replace$\dashv$as ordering on the finitely axiomatized extensions in the expanded language by a relevant kind of interpretability, to witinterpretability that identically translates the symbols of the U-language.We show that the result fails when we consider an expansion with only unary predicate symbols for conservative extensions ofUordered by interpretability that preserves the symbols ofU. (shrink)

RésuméQuels sont les objets de la perception? Deux réponses célèbres à cette question soutiennent que ce sont soit les images des objets extramentaux, c'est-à-dire la façon dont ils nous apparaissent, soit les objets eux-mêmes. Dans cet article, je présente une analyse de cette question par Abū l-Barakāt al-Baġdādī, un savant post-avicennien dont l'impact sur l'histoire de la philosophie islamique a été largement négligé. Abū l-Barakāt s'est opposé au dualisme épistémologique traditionnel aristotélicien-avicennien, qui établit une distinction entre la perception sensorielle des (...) particuliers matériels et la conception des universaux immatériels, notamment en ce qui concerne le percevant et/ou la structure de la perception. Selon la théorie d'Abū l-Barakāt, tous les actes épistémiques ont la structure unifiée d'une relation directe entre un même percevant et les objets eux-mêmes – matériels et immatériels. Sa thèse principale consiste à dire qu'avoir des organes corporels n'est pas nécessaire pour la perception sensorielle. Dans la dernière section de cet article, je montre que la critique d'Abū l-Barakāt de la tradition aristotélicienne-avicennienne fut considérée comme une innovation révolutionnaire en épistémologie. Cela peut avoir déterminé les théories épistémologiques de deux des philosophes arabes postavicenniens les plus importants : Faḫr al-Dīn al-Rāzī et Šihāb al-Dīn al-Suhrawardī. (shrink)

Nāgārjuna’s Middle Way (Madhyamaka) doctrine met with the objection that it is a mere verbal attack (vitaṇḍā) against other philosophical positions. As one of the Madhyamaka critics pointed out: because Nāgārjuna does not hold own position, he is not able to justify his criticism of the essence (svabhāva). The article is an answer to the question whether, in the context of Indian philosophy, it is possible to know things devoid of essences. Theory of knowledge of this kind, i.e. the concept (...) of omniscience (sarvajña) was presented in Aṣṭasāhasrikāprajñāpāramitā sutra. Associations between Nāgārjuna’s texts and the sutra suggest that omniscience could be a substrate for epistemological position of the Middle Way. (shrink)

The aim of the paper is to present two natural deduction systems for Intuitionistic Sentential Calculus with Identity ( ISCI ); a syntactically motivated \(\mathsf {ND}^1_{\mathsf {ISCI}}\) and a semantically motivated \(\mathsf {ND}^2_{\mathsf {ISCI}}\). The formulation of \(\mathsf {ND}^1_{\mathsf {ISCI}}\) is based on the axiomatic formulation of ISCI. Its rules cannot be straightforwardly classified as introduction or elimination rules; ISCI -specific rules are based on axioms characterizing the identity connective. The system does not enjoy the standard subformula property, but due (...) to the normalization procedure non-subformulas can label only leaves of proofs. In \(\mathsf {ND}^2_{\mathsf {ISCI}}\), we propose only two general identity-related rules, in reference to the treatment of the identity connective in First-Order Logic. (shrink)

Assume that there is no quasi-measurable cardinal not greater than 2ω. We show that for a c. c. c. σ -ideal [MATHEMATICAL DOUBLE-STRUCK CAPITAL I] with a Borel base of subsets of an uncountable Polish space, if [MATHEMATICAL SCRIPT CAPITAL A] is a point-finite family of subsets from [MATHEMATICAL DOUBLE-STRUCK CAPITAL I], then there is a subfamily of [MATHEMATICAL SCRIPT CAPITAL A] whose union is completely nonmeasurable, i.e. its intersection with every non-small Borel set does not belong to the σ (...) -field generated by Borel sets and the ideal [MATHEMATICAL DOUBLE-STRUCK CAPITAL I]. This result is a generalization of the Four Poles Theorem and a result from [3]. (shrink)

A central question in the history of metaphysics concerns the ontological status of such notions as 'redness,' 'humanity,' or 'animality,' which one calls 'universals.' Since one uses these notions to describe objects in the real world, it may seem intuitive that they exist in extramental reality: one says that universals are 'real'. Famously, though, several problems arise from this view. A central problem known both to medieval and contemporary scholars goes as follows: I look at a red rose and recognize (...) that there is 'redness' in it. Then, I look at a red apple and recognize that there is 'redness' in it, too. Does this mean that one and the same 'redness' appears in both the rose and the... (shrink)

The aim of this paper is to present two arguments against the dialectical interpretation of Nagarjuna's philosophy. This interpretation understands Nagarjuna's philosophy as a method of deconstruction, abstracting from Nagarjuna's own standpoint. The first argument refers to the metaphysical presuppositions of this method. The second argument refers to the positive statements asserted by Nagarjuna and focuses mainly on those concerning Buddhist practice. Furthermore, the conception of 'skilful means' and 'the two truths' will be discussed. The conclusion of this paper is (...) that Nagarjuna's philosophy is based upon determining the conditions of the possibility of the Buddhist practice rather than on a dialectic without any metaphysical assumptions. (shrink)

The aim in this paper is to define an Abductive Question-Answer System for the minimal logic of formal inconsistency \. As a proof-theoretical basis we employ the Socratic proofs method. The system produces abductive hypotheses; these are answers to abductive questions concerning derivability of formulas from sets of formulas. We integrated the generation of and the evaluation of hypotheses via constraints of consistency and significance being imposed on the system rules.

The article attempts to explain the difficulty of systematization of philosophical categories. Philosophical categories are defined as common forms of cognitive and world view attitude of the man to the nature, society and his own existence. The article also analyses basic approaches to the process of creating the system of philosophical categories in the history of philosophical thought. The review of the major historical phases of philosophical interpretation of categories allows to state the existence of the problematic issue connected with (...) forming the system of categories. A lot of attempts have been undertaken on this subject. All of them were found controversial. It can be explained by the fact that all the attempts to systematize categories contradict the following principles - if categories are universal reflection forms of objective characteristics of existence, then their hierarchy must be the reflection of these characteristics’ hierarchy. But it is impossible to imagine that the "hierarchy" principle operates in the system of being, because the objective world is organized rather on the principle of "equality" than "subordination". The article addresses functional and developmental characteristics of philosophical categories. The article gives the author`s understanding of the concept of "philosophical categories". (shrink)

RésuméDans cet article, je soutiendrai que divers philosophes du kalām s'accordent à dire que la perception sensorielle dépasse les processus physiques dans les organes sensoriels. Il peut se passer quelque chose dans nos yeux lorsque nous voyons une pomme rouge, mais voir une pomme rouge ne s'y réduit pas. Nous verrons que certains philosophes du kalām soutiennent que la perception sensorielle est semblable à une prise de conscience ou à une conscience de l'objet de la perception, et qu'elle est, par (...) conséquent, distincte du processus physique dans les organes sensoriels. Un groupe ira jusqu’à accepter que la perception sensorielle ne dépend même d'aucun processus physique dans le corps. Un autre groupe acceptera que la perception sensorielle présuppose diverses conditions physiques, mais il considérera néanmoins la perception sensorielle comme quelque chose de distinct de l'occurrence de ces conditions. Je suggère que ces théories non réductionnistes de la perception sensorielle sont la raison pour laquelle les philosophes arabo-islamiques, à partir du XIe siècle, rejettent systématiquement la théorie aristotélico-avicennienne de la perception sensorielle. (shrink)

ABSTRACTScholarship on medieval philosophy has rightfully acknowledged the historical and systematical merit of Avicenna’s thought in all divisions of philosophy. Avicenna however did not...

The aim of the article is to describe the myth of femme fatale. Starting from popular culture and ending with the representatives of archaic cultures, the author tries to indicate the women who are described in patriarchal narratives as those who bring men to defeat and ruin. An important figure for the whole argument is Lilith, who, according to Jewish legends, was the first wife of Adam. Lilith was erased from the biblical tradition because she opposed her partner and turned (...) away from God. She has become the female archetype of sin, the symbol of sexual vampirism and the rejection of motherhood. All these features make up the femme fatale syndrome. (shrink)

This paper aims to present how logic may undermine a parliamentary assault on democratic institutions based on the analysis conducted with reference to the so-called Polish constitutional crisis. I analyse whether a law can be reviewed on the basis of this law itself. The Polish Constitutional Tribunal faced such a problem while passing the verdict of 9th March, 2016, regarding the constitutionality of the amendment to the Statute on the Constitutional Tribunal from 22nd December, 2015. This problem, called a ‘verdict (...) paradox’, was claimed to be a type of the Liar paradox. I argue that, contrary to the common view, the problem of the verdict paradox is not based on the Liar paradox; for this purpose, a logical analysis is applied to four variants of a reasoning with regard to the constitutionality of the said amendment. The distinction between two levels of analysis concerning emerging reasonings, namely an abstract level and a concrete level placed in the context of the legal system, is also introduced. This paper demonstrates that although only two variants of the reasoning concerning a law’s judicial review based on the law itself involve logical contradiction, the possibility of employing reasonings from other variants must be excluded, albeit due to alternative reasons. Therefore, the Constitutional Tribunal’s decision to avoid the verdict paradox by passing over the reviewed provisions in the review process was correct and might be perceived as an example of how logic and reason can defend the institutional guarantees of political freedom. (shrink)

In my paper I present David Hume's philosophy from the perspective of Charles Sanders Peirce's theory of signs. I argue that by interpreting impressions and ideas as iconic signs it is possible to avoid many inconsistencies in Hume's philosophy. Apart from that it makes possible to avoid Hume's scepticism about the existence of the external world by introducing Peirce's concept of the dynamic and immediate object. What is more, the generative structure of signs helps us to deal with the "gmissing (...) shade of blue" problem. (shrink)

Freedom of contract and corrective justice are considered to be the basic principles governing contract law. However, many contemporary legal orders implement various policy goals into private law. The regulatory private law of the European Union is the most striking example of such a trend. This article aims at reconciling the corrective justice theory of private law and the principle of freedom of contract with the regulatory dimension of the EU law. The main argument is that the meaning of the (...) concept of harm, one that is crucial to the principle of corrective justice, should be understood broadly so that it can transform the corrective justice theory from a monistic one into a pluralistic one. (shrink)

The objective of this article is to present and analyze some theses ad­vanced in "Lectures 3"1 by Paul Ricoeur. The book is devoted to the boundaries of philosophy, to non-philosophical sources of philosophy and finally to the other par excellence of philosophy - to religion. The book is composed of a series of essays divided thematically into three parts. The first part deals with Kant's and Hegel's philosophy of religion. Then in the course of the book the author gradually moves (...) away from the philosophical logos to arrive at a point where recourse to the exegesis of the Bible becomes for him indispensable. (shrink)

The theory of essential definitions is a fundamental anti‐sceptic element of the Aristotelian‐Avicennian epistemology. In this theory, when we distinguish the genus and the specific differentia of a given essence we thereby acquire a scientific understanding of it. The aim of this article is to analyse systematically the sceptical reasons, arguments and conclusions against real definitions of three major authorities of twelfth‐century Arabic philosophy: Faḫr al‐Dīn al‐Rāzī, Šihāb al‐Dīn al‐Suhrawardī and Abū l‐Barakāt al‐Baġdādī. I focus on showing how their refutation (...) of our capacity to provide essential definitions of things is rooted in their semantic theory: we only know things under certain descriptions which are identical to the meanings of the words that we use to refer to them, yet these descriptions do not capture the essences of things in themselves. The best result one can achieve with Aristotelian‐Avicennian scientific definitions is a “nominal definition”. With this, Rāzī, Suhrawardī and Abū l‐Barakāt will put some serious epistemic limitations on our capacity to attain scientific knowledge of things, at least as Aristotle and Avicenna would have it. (shrink)

An erotetic calculus for a given logic constitutes a sequent-style proof-theoretical formalization of the logic grounded in Inferential Erotetic Logic ). In this paper, a new erotetic calculus for Classical Propositional Logic ), dual with respect to the existing ones, is given. We modify the calculus to obtain complete proof systems for the propositional part of paraconsistent logic CLuN and its extensions CLuNs and mbC. The method is based on dual resolution. Moreover, the resolution rule is non-clausal. According to the (...) authors knowledge, this is the first account of resolution for mbC. Last but not least, as the method is grounded in IEL, it constitutes an important tool for the so-called question-processing. (shrink)

Many social epistemologists suggest that testimonies may be considered a valid source of knowledge, no less than, for instance, direct observation. In this article, I will focus on the accounts of testimonial knowledge in classical kalām and Islamic law. I will present the arguments for why Islamic philosophers and jurists believe that testimonies convey knowledge. I will address the main disagreement in Islamic philosophy regarding the nature of testimonial knowledge, whether we can apply an internalist model of epistemic justification to (...) testimonial knowledge or not. I will suggest that the best way to understand the traditional view on testimonial knowledge in Islamic philosophy and law is as “weak testimonial reliabilism”: testimonial knowledge typically results from the occurrence of certain external conditions (of which we might be unaware), even though they hold only insofar as our experience of this world tells us so, and may not hold in another possible world. (shrink)

In this paper we are applying certain strategy described by Negri and Von Plato :418–435, 1998), allowing construction of sequent calculi for axiomatic theories, to Suszko’s Sentential calculus with identity. We describe two calculi obtained in this way, prove that the cut rule, as well as the other structural rules, are admissible in one of them, and we also present an example which suggests that the cut rule is not admissible in the other.