(Longer version - work in progress) Various accounts of distinctively mathematical explanations (DMEs) of complex systems have been proposed recently which bypass the contingent causal laws and appeal primarily to mathematical necessities constraining the system. These necessities are considered to be modally exalted in that they obtain with a greater necessity than the ordinary laws of nature (Lange 2016). This paper focuses on DMEs of the number of equilibrium positions of n-tuple pendulum systems and considers several different DMEs of these (...) systems which bypass causal features. It then argues that there is a tension between the modal strength of these DMEs and their epistemic hooking, and we are forced to choose between (a) a purported DME with greater modal strength and wider applicability but poor epistemic hooking, or (b) a narrowly applicable DME with lesser modal strength but with the right kind of epistemic hooking. It also aims to show why some kind of DMEs may be unappealing for working scientists despite their strong modality, and why some DMEs fail to be modally robust because of making ill-informed assumptions about their target systems. The broader goal is to show why such tensions weaken the case for DMEs for pendulum systems in general. (shrink)

2Un grup d'experts, majoritàriament membres de l'Institut d'Estudis Catalans, coordinat per Pere Lluís Font, es proposa en aquest llibre fer un balanç del que ha estat la contribució catalana en el camp de la filosofia i de les divers.

Este artículo tiene como objetivo presentar un manuscrito conservado en la biblioteca de la Universidad de Bengasi (Libia) que contiene el Kitāb al-Ǧawhara fī nasab al-nabī ṣallā Allāh ʽalayhi wa-sallam wa-aṣḥābihi al-ʽašara por Abū ʽAbd Allāh Muḥammad b. Abī Bakr b. ʽAbd Allāh b. Mūsà al-Anṣārī al-Barrī al-Tilimsānī (596/1200-681/1282). Aunque ha sido mencionado en algunas publicaciones, no llamó la atención de los especialistas de la historia cultural de al-Andalus. Debido a la situación actual de la institución de conservación, no ha (...) sido posible ver ni ofrecer reproducciones. Aun así, como se cedió una fotografía para un catálogo, el último folio resultó muy útil. Se hace constar claramente el origen de la obra, que fue copiada en Menorca por su propio autor en el año 645/1248. Además, se puede observar que fue ofrecido como regalo a Saʽīd b. Ḥakam al-Qurašī, el gobernador de la isla, que fundó una biblioteca cuya riqueza fue celebrada por los autores medievales. En el estado actual del conocimiento, se trata precisamente del quinto manuscrito identificado, encontrándose hoy los otros cuatro en la Real Biblioteca del Monasterio de San Lorenzo de El Escorial. La historia del manuscrito permanece oscura, aunque se puede dar por establecido que reapareció en Libia a mediados del siglo XIX, siendo entonces propiedad de Muḥammad b. ʽAlī al-Sanūsī, fundador de la poderosa ṭarīqa al-Sanūsiyya. (shrink)

This paper examines two commonly held and conflicting cognitions in the modern world, each based on a belief vital to the individual's sense of self, both maintained in what is here considered as a chronic state of dissonance. This psychological inconsistency consists of an inherent practical belief in the goodness of empirical knowledge and a culturally-developed transcendent belief denying, or at least mitigating, empirical evidence about the finite nature of individual life and affirming a counter-empirical belief in supernatural: supra-cause-and-effect forces (...) that influence life. I argue that since both beliefs are highly resistant to change, they lead to an impasse that individuals in diverse cultures have borne and been motivated to maintain. They have borne it, as I hope to show, because the consonant “cure” has proved to be more discomforting than the dissonant condition. (shrink)

For decades, the ecstatic rituals of the Sufi brotherhood of the ‘Isawa have attracted the attention of European travelers and journalists as they pass through the Maghreb. Through the texts of these external observers, I will show the paradoxes of these images of the ‘Isawa centered on emphasizing the violent and irrational character of their ritual practices, while at the same time awakening a morbid curiosity to find an explanation for what the witnesses presented as pathological extravagances. With the rise (...) of Islamic reformism and the interests of Franco-Spanish colonial policy, rituals were progressively domesticated from the 1930s onwards, and partially converted into spectacle, with the aim of avoiding a corporal and ritual disorder that challenged the new colonial order. (shrink)

This paper sheds new light on the subtle relation between probability and logic by (i) providing a logical development of Bruno de Finetti's conception of events and (ii) suggesting that the subjective nature of de Finetti's interpretation of probability emerges in a clearer form against such a logical background. By making explicit the epistemic structure which underlies what we call Choice-based probability we show that whilst all rational degrees of belief must be probabilities, the converse doesn't hold: some probability values (...) don't represent decision-relevant quantifications of uncertainty. (shrink)

En este artículo pretendo precisar el noutopismo de Montaigne en relación a la organización sociopolítica a partir del análisis de la utilización de Platón que lleva a cabo Montaigne en el capítulo «Sobre los caníbales» de los Ensayos, capítulo que puede ser visto como un intento de valorar la utilidad de modelos de estado como el de la República de Platón a partir de la observación de sociedades reales alternativas a las europeas. Aunque la sociedad caníbal de los Tupinamba se (...) asemeja a la sociedad primitiva descrita en la República y las Leyes, Platón cree que una sociedad como esa ya no es factible, por lo que la solución pasa por la utopía, como aquello a lo que debe aspirar una sociedad compleja. En cambio, Montaigne, que más que criticar a Platón en cierto modo lo justifica, defiende la utilidad de analizar esa sociedad primitiva, como un modelo real que permite mejorar la sociedad europea. La alternativa a la utopía consiste, pues, en mirar al otro para mejor mirarse a sí mismo. (shrink)

The aim of this article is to analyse the positions of Montaigne and Descartes in relation to the question of the animal. To do this, I begin by characterizing Derrida's position on the subject, who considers Montaigne and Descartes as two opposing positions on the subject. Then, I analyse the positions of Montaigne and Descartes by means of a commentary on texts by both authors, while I try to explain the Cartesian turn on the animal question with respect to Montaigne. (...) Finally, I argue that Derrida's approach, beyond emphasizing the problem of the animal from the point of view of the Western tradition, inherits the dispute between Montaigne and Descartes. He stressed not so much animal dignity as the peculiarity of man. Moreover, this peculiarity must be demonstrated in order to make self-government possible in a world which is not incomprehensible, but explicable by laws that seem to make human freedom impossible. (shrink)

The aim of this article is to analyse the positions of Montaigne and Descartes in relation to the question of the animal. To do this, I begin by characterizing Derrida's position on the subject, who considers Montaigne and Descartes as two opposing positions on the subject. Then, I analyse the positions of Montaigne and Descartes by means of a commentary on texts by both authors, while I try to explain the Cartesian turn on the animal question with respect to Montaigne. (...) Finally, I argue that Derrida's approach, beyond emphasizing the problem of the animal from the point of view of the Western tradition, inherits the dispute between Montaigne and Descartes. He stressed not so much animal dignity as the peculiarity of man. Moreover, this peculiarity must be demonstrated in order to make self-government possible in a world which is not incomprehensible, but explicable by laws that seem to make human freedom impossible. (shrink)

In this paper we study and equationally characterize the subvarieties of BL, the variety of BL-algebras, which are generated by families of single-component BL-chains, i.e. MV-chains, Product-chain or Gödel-chains. Moreover, it is proved that they form a segment of the lattice of subvarieties of BL which is bounded by the Boolean variety and the variety generated by all single-component chains, called ŁΠG.

The monoidal t-norm based logic MTL is obtained from Hájek''s Basic Fuzzy logic BL by dropping the divisibility condition for the strong (or monoidal) conjunction. Recently, Jenei and Montgana have shown MTL to be standard complete, i.e. complete with respect to the class of residuated lattices in the real unit interval [0,1] defined by left-continuous t-norms and their residua. Its corresponding algebraic semantics is given by pre-linear residuated lattices. In this paper we address the issue of standard and rational completeness (...) (rational completeness meaning completeness with respect to a class of algebras in the rational unit interval [0,1]) of some important axiomatic extensions of MTL corresponding to well-known parallel extensions of BL. Moreover, we investigate varieties of MTL algebras whose linearly ordered countable algebras embed into algebras whose lattice reduct is the real and/or the rational interval [0,1]. These embedding properties are used to investigate finite strong standard and/or rational completeness of the corresponding logics. (shrink)

The monoidal t-norm based logic MTL is obtained from Hájek's Basic Fuzzy logic BL by dropping the divisibility condition for the strong (or monoidal) conjunction. Recently, Jenei and Montgana have shown MTL to be standard complete, i.e. complete with respect to the class of residuated lattices in the real unit interval [0,1] defined by left-continuous t-norms and their residua. Its corresponding algebraic semantics is given by pre-linear residuated lattices. In this paper we address the issue of standard and rational completeness (...) (rational completeness meaning completeness with respect to a class of algebras in the rational unit interval [0,1]) of some important axiomatic extensions of MTL corresponding to well-known parallel extensions of BL. Moreover, we investigate varieties of MTL algebras whose linearly ordered countable algebras embed into algebras whose lattice reduct is the real and/or the rational interval [0,1]. These embedding properties are used to investigate finite strong standard and/or rational completeness of the corresponding logics. (shrink)

In this paper we provide a simplified, possibilistic semantics for the logics K45, i.e. a many-valued counterpart of the classical modal logic K45 over the [0, 1]-valued Gödel fuzzy logic \. More precisely, we characterize K45 as the set of valid formulae of the class of possibilistic Gödel frames \, where W is a non-empty set of worlds and \ is a possibility distribution on W. We provide decidability results as well. Moreover, we show that all the results also apply (...) to the extension of K45 with the axiom, provided that we restrict ourselves to normalised Gödel Kripke frames, i.e. frames \ where \ satisfies the normalisation condition \ = 1\). (shrink)

Not simply set out in accompaniment of the Greek geometrical text, the diagram also is coaxed into existence manually (using straightedge and compasses) by commands in the text. The marks that a diligent reader thus sequentially produces typically sum, however, to a figure more complex than the provided one and also not (as it is) artful for being synoptically instructive. To provide a figure artfully is to balance multiple desiderata, interlocking the timelessness of insight with the temporality of construction. Our (...) account of the diagram complements those of Manders and Macbeth by more strongly emphasizing practical synthesis. (shrink)

There is a major debate as to whether there are non-causal mathematical explanations of physical facts that show how the facts under question arise from a degree of mathematical necessity considered stronger than that of contingent causal laws. We focus on Marc Lange’s account of distinctively mathematical explanations to argue that purported mathematical explanations are essentially causal explanations in disguise and are no different from ordinary applications of mathematics. This is because these explanations work not by appealing to what the (...) world must be like as a matter of mathematical necessity but by appealing to various contingent causal facts. (shrink)

A simple complete axiomatic system is presented for the many-valued propositional logic based on the conjunction interpreted as product, the coresponding implication (Goguen's implication) and the corresponding negation (Gödel's negation). Algebraic proof methods are used. The meaning for fuzzy logic (in the narrow sense) is shortly discussed.