Paloma Perez-Ilzarbe

I want to highlight Christine Ladd-Franklin's contribution to logic, by placing her technical contribution to the algebra of logic in the broader context of her philosophical contribution to logic in general, concerning her view of the nature of logic and its role in philosophy. First, I will present the sense in which her algebra of logic means a progress within formal logic towards a higher level of formality. Second, I will focus on the contrast between the new symbolic form of logic and the traditional non-symbolic form of logic. Third, I will focus on the contrast between the symbolic form of logic and the "mathematical" form of symbolic logic that Russell and his ilk were trying to impose.

The aim of this paper is rather modest: we do not intend to reconstruct Aristotle’s theory of truth (although we are convinced that there is such a thing), and we will not try to settle the issue concerning Bivalence in Aristotle. We merely want, on the one hand, to argue for the consistency between the main Aristotelian texts on truth and a possible rejection of Bivalence; and on the other hand, to investigate the conditions of a possible counterexample to Bivalence. The motivation for this research is also very specific. We are interested in the apparent violation of Bivalence introduced by vague predicates, and in particular we want to respond to a family of arguments put forward by T. Williamson in support of the idea that allowing for exceptions to Bivalence would be incoherent. We have focused on these arguments for two reasons. On the one hand, what is allegedly threatened by a denial of Bivalence is no less than the very “nature of truth or falsity”. On the other hand, Aristotle is explicitly mentioned as one of the defendants of this “natural” conception of truth, and we are reminded about the connection between Aristotle’s theory and Tarski’s semantic conception. These arguments, therefore, give us an occasion to explore Aristotle’s analysis of the nature of truth and falsity, and to examine its connection with the Tarskian conception of truth. In particular, we would like to question the assumption, which has become a commonplace in the field of analytical philosophy, that Aristotle’s notion of truth can be encoded in the pair of disquotational biconditionals that derive from Tarski’s “T schema”.

En la actualidad hay un renacer del interés académico por la amistad que se aborda desde múltiples disciplinas, tales como la Sociología (Spencer & Pahl, 2006), la Psicología (Hojjat & Moyer, 2017), la educación (Kristjánsson, 2022), la Política (Digeser, 2016) o las Relaciones Internacionales (Koschut & Oelsner, 2014). En filosofía, la amistad es un tema clásico que se ha abordado con interés variable en distintos momentos de la historia: para griegos y romanos fue relevante a nivel personal y político (Aristóteles, 1994); los pre-modernos la concibieron como un vínculo fundamental para la estabilidad política y la administración de la justicia (Smith & Devere, 2010) y en la Ilustración siguió considerándose un vínculo valioso. A partir del siglo XIX se oscurece su papel social (Laín Entralgo, 1986) y solo a finales del XX se retoma su valor en el ámbito social, más allá del personal (Derrida, 1998). A pesar de esa atención renovada a la amistad, las investigaciones desde la antropología filosófica o la metafísica son hoy menos frecuentes que otras como las que se hacen desde la ética o la filosofía política, por lo que es relevante prestarle atención desde esta perspectiva que es la elegida en este capítulo. El objetivo es repensar la amistad en Leonardo Polo desde su antropología trascendental partiendo de una confluencia interesante entre este filósofo y Agamben: la apertura ontológica al plano existencial (trascendental, en terminología poliana). Argumentaré cómo, en continuidad con la antropología trascendental y prosiguiendo el pensamiento de Polo, la amistad puede incluirse de alguna forma en el ámbito trascendental, puede ser un “amor personal” que, como tal, radica en la persona, muestra a la persona y la hace crecer. De acuerdo con eso, la estructura del capítulo es la siguiente: explicaremos la confluencia metafísica entre ambos filósofos y el papel de la amistad en la apertura al ámbito existencial (epígrafe 2); seguiremos con los elementos de la antropología trascendental que permiten proseguir pensando la amistad (epígrafe 3); estudiaremos el amar personal y la posibilidad de los “amores personales” (epígrafe 4) y finalmente abordaremos la amistad como amor personal.

The complexity of the scholastic view of descent stems from the attempt to find a reply to three different questions at the same time: those pertaining to the meaning of propositions, the relationships of inference between propositions, and the truth conditions of propositions. From each of these issues there arises a different sequence of developments to this doctrine, each of which has its own problems and solutions. Initially, the concept of descent is introduced in response to the problem of determining the meaning of quantified propositions. This is the first axis of the development of the doctrine of descent, according to which descent consists of the construction of individual propositions which make explicit the meaning of the quantified proposition. The appearance of these new propositions, however, gives rise to the second axis in the development of the doctrine of descent. As soon as we have this multiplicity of singular propositions, it is possible to forget where they came from and how, simply considering the problem of their logical relationship with the original quantified proposition. This is how descent comes to be viewed not as an analysis of the meaning of the proposition, but as a relationship of consequence: that which could be established between a quantified proposition and a set of singular propositions. Lastly, when descent is considered as a relationship of consequence, it is possible to develop this doctrine in a third direction, given that this relationship between a quantified proposition and a set of singular propositions can be used as a means of showing the truth or falsehood of the quantified proposition. Pardo’s text is a good example of the problems which the concept of descent inevitably encounters when it is approached from three points of view which are superimposed upon each other without regard for their radical diversity.

This paper presents an outline of Carlos Vaz Ferreira's moderate anti-intellectualism, paying special attention to the relations between science and philosophy as complementary aspects of human knowledge. Explicitly opposing William James's radical anti-intellectualism, and thus apparently anti-Pragmatist, Vaz is in fact very close to the central ideas of Pragmatism. A defense of reason as a valuable help for penetrating into reality, combined with the recognition of extra-rational elements that contribute to human apprehension of reality, results in a position that can be characterized by its anti-rationalism, fallibilism and pluralism.

Jerónimo Pardo's analysis of the problems raised by some popular trinitarian paralogisms is studied in this paper. The purpose is to show how the notions employed by the theologians in order to solve theological problems were introduced into a textbook on logic to deal with some genuinely logical problems. First, the problem, common to all logical approaches, of achieving a fine-grained analysis of the logical form of syllogistical inferences. Second, the problem, typical of the terminist approach to logic, of guaranteeing that Latin is an adequate vehicle for logical analysis.

I examine a sixteenth-century development of the anti-realist propositional semantics which is based on the notion of ‘mode’. Pardo uses this notion to offer a personal interpretation of the Buridanian criticism of complexe significabilia. He develops a middle way between the reduction of the significate of propositions to particular things and the postulation of non-standard entities which are only complexly signifiable. The key to this middle way is Pardo's understanding of the notion of ‘mode’ as connoting a relation between individual things. He offers a new interpretation of the signification of syncategorematic terms, and a definition of ‘comparative’ notions, by which something is known ‘relatively’ with respect to some other thing. And a real relational correlate is postulated for these relational ways of knowing. Relations are thus used to grant a specific significate of propositions, without renouncing the strict Buridanian rejection of any extra-categorial complexe significabilia. The role of r...

The first section of this article offers a reconstruction of Buridan's theory of propositions, along the following lines: on the syntactic plane, propositions obtain a special type of unity from the presence of a copula; on the semantic plane, the fact that a proposition does not have any specific significate (different from the significate of terms), does not erase the distinction between propositions and terms: the copula performs an act of saying, in virtue of which propositions can be true or false. The second section sumarises Pardo's theory of propositions, showing how in this case a Buridanian starting point led to a result very different from that which Buridan reached.

The aim of this article is to help to clarify the role which Aristotle gives to definition in his theory of demonstration. I shall begin by examining his handling of the relations between definition and demonstration in chapters 8-10 of the second book of the Posterior Analytics, in order to provide an outline for an interpretation of Aristotle's thought. Secondly, I shall examine chapter 10 in more detail, bringing out the contrast between the commentary by Averroes and that of Grosseteste. I have chosen these two commentators because, both being generally magnificent interpreters of Aristotle, as far as the nature and types of definition are concerned their understanding of Aristotle is strikingly different.