In this article I analyze the Peirce’s concepts of abduction, insight, logica utens and logica docens in order to propose, finally, a vision in which “genuine” abductions are generated only after an exercise in logica docens. These “genuine” abductions are characterized in contrast to those generated by means of logica utens.

In the first section, our anonymous author discusses sophistria as an art. Like other authors who wrote sophistria, the author first shows that sophistria is a demonstrative science, not indeed in the sense that one is taught how to make sophistical arguments, but a science in the sense that knowledge about sophistical arguments is taught through demonstrations. In the subsequent questions on this topic, he makes a number of distinctions, for example, between a new and an old division of sophistrie, (...) between sophistria utens and docens, and between scientia realis and scientia rationis, ultimately identifying the science in question as a scientia rationis. He ends this section by identifying the ways in which the four causes pertain to this science. Unfortunately, a number of lines are missing in these questions, making it impossible to identify some of the author’s arguments which lead him to some of his positions. For example, in question 5, which asks whether the division of sophistrie into an older part and a newer part is suitable, only two arguments to the opposite are given; in question 6, which asks about the distinction between utens and docens, nothing but the question has survived, while in question 7, which asks whether the new logic of sophistria is distinct from the other parts, only one opposing argument is given. (shrink)

El problema de la adopción (Padró, 2015), según el cual es imposible adoptar una lógica, sugiere la idea de que la práctica de inferir es conceptualmente prioritaria a la lógica entendida como teoría. Este problema representa un desafío para la concepción antiexcepcionalista de la lógica, que entiende a los principios lógicos como meras hipótesis o como creencias sujetas a revisión. Desde nuestra perspectiva, el principal problema de esta concepción ha sido dejar abierta la pregunta sobre la naturaleza de la práctica (...) de inferir. Sin embargo, nos parece completamente posible responder esta pregunta dentro del marco teórico antiexcepcionalista. En este trabajo desarrollamos una concepción naturalista de la práctica de inferir que viene a llenar el vacío dejado por el antiexcepcionalismo tradicional; y a su vez responde al desafío lanzado por el problema de la adopción. (shrink)

The second chapter spells out Buridan’s conception of logic as a practical science, teaching us, as logica docens, to heed the valid rules of reasoning embedded in our logical practice, logica utens. The chapter also deals with the particular difficulties of Buridan’s approach, considering his idea of the radical conventionality of written and spoken languages, consisting of token-symbols that owe their meaningfulness to the natural representational system of the human mind. This is the fundamental idea that naturally (...) leads to the nominalist conception of a mental language. On this conception, mental language itself is a compositional semantic system of naturally representative token-symbols, the singular mental acts of singular human minds. (shrink)

Responding to the paradox of inference and the related problems in philosophy of logic, this paper argues for the necessity of distinguishing between two different objects of justification: logica utens and logica docens. Then, equipped with Peirce’s critical common-sensist conception of logica utens and his classification of sciences, I propose a diagnosis of and a solution to the problem of justification of logic. I argue that this alternative approach successfully avoids circularity in which most attempts in (...) philosophy of logic have been inescapably trapped. I also anticipate and respond to possible objections to taking a Peircean turn in justifying logic. (shrink)

The pragmatic conception of truth, anticipated by Henry David Thoreau and developed by C.S. Peirce and subsequent pragmatists, is proposed as a useful analogy for characterising 'sustainability.' Peirce's definitions of 'truth' provides an attractive approach to sustainability because (a) it re-focuses discussions of truth and objectivity from a search for 'correspondence' to an 'external world' (the 'conform' approach) to a more forward-looking ('transform') approach; and (b) it emphasises the crucial role of an evolving, questioning community in the conduct of inquiry. (...) Any successful definition of sustainability must share these characteristics with Peircean truth. While Peirce and John Dewey never reconciled their disagreements regarding the nature and task of 'inquiry', a pragmatist resolution of their differences is offered, arguing that we need both a logic of management sciences (logica utens) and a logic of pure science (logica docens), which (perhaps among other differences) respond very differently to uncertainty. It is shown that adaptive management – can be understood as a first approximation of a logica utens for social learning in pursuit of solutions to environmental problems, and it is suggested that a pragmatist, transform approach to inquiry such as Dewey's may provide a way around the 'fact-value' gulf. (shrink)

In medieval writers an important distinction was drawn between two applications of the term ‘logica’: there was logica utens, the practice of thinking logically about this or that subject-matter, and there was logica docens, the construction of logical theory. Of course the English word ‘logic’ and its derivative ‘logical’ have a corresponding twofold meaning, and we ignore the distinction at the risk of serious confusion. ‘Logical thought’ may mean thinking that is being commended as orderly, consistent, (...) and consequent, whatever its subject-matter; or it may mean the thinking of logicians about logic, which alas has not always exhibited these virtues. Similarly for ‘teaching logic’: there is trying to get people, by precept and example, to be orderly, consistent, and consequent in their thinking, and there is the endeavour to train logicians for the next generation. In any respectable philosophy department there will be someone teaching logic in the first sense; in my own university there are very many first-year undergraduates who do a course called Reason and Argument with this aim. But we hold that the teacher of such logica utens must himself have a sufficient skill in logica docens if he is to do his job properly; and we undertake the further task of training people in logical theory so that some of them, who have sufficient native ability and motivation, may take up the torch from their teachers. (shrink)

In medieval writers an important distinction was drawn between two applications of the term ‘logica’: there was logica utens, the practice of thinking logically about this or that subject-matter, and there was logica docens, the construction of logical theory. Of course the English word ‘logic’ and its derivative ‘logical’ have a corresponding twofold meaning, and we ignore the distinction at the risk of serious confusion. ‘Logical thought’ may mean thinking that is being commended as orderly, consistent, (...) and consequent, whatever its subject-matter; or it may mean the thinking of logicians about logic, which alas has not always exhibited these virtues. Similarly for ‘teaching logic’: there is trying to get people, by precept and example, to be orderly, consistent, and consequent in their thinking, and there is the endeavour to train logicians for the next generation. In any respectable philosophy department there will be someone teaching logic in the first sense; in my own university there are very many first-year undergraduates who do a course called Reason and Argument with this aim. But we hold that the teacher of such logica utens must himself have a sufficient skill in logica docens if he is to do his job properly; and we undertake the further task of training people in logical theory so that some of them, who have sufficient native ability and motivation, may take up the torch from their teachers. (shrink)

This article is focused on the concept of logic in Avicenna’s Isagoge, a text which had great impact both on Arabic and Western thought. Its main section is devoted to an investigation of Avicenna’s clarification of the nature of logic, its proper subject matter as well as its place within the canon of the philosophical sciences. In this connection, special attention is given to Avicenna’s use of the concepts ‘art’ and ‘science’. Significantly, he regards logic as both a science and (...) an art, and argues that in the latter sense, logic is an instrument for the philosophical sciences. Because Avicenna’s Isagoge was read in the Latin West for several centuries, his ideas on the nature of logic played a prominent role in the debates at medieval universities and hence were a likely source of the distinction between ‘logica utens’ and ‘logica docens’. (shrink)

Saul Kripke proposed a skeptical challenge that Romina Padró defended and popularized by the name of the Adoption Problem. The challenge is that, given a certain definition of adoption, there are some logical principles that cannot be adopted—paradigmatic cases being Universal Instantiation and Modus Ponens. Kripke has used the Adoption Problem to argue that there is an important sense in which logic is not revisable. In this essay, I defend two independent claims. First, that the Adoption Problem does not entail (...) that logic is never revisable in the sense that Kripke addresses. Second, that, to assess whether an agent can revise their logic in the sense that Kripke addresses, it is best to consider a different definition of adoption, according to which Universal Instantiation and Modus Ponens are sometimes adoptable. (shrink)

Excerpt from Logica Come Scienza del Concetto Puro Identita di definizione e sillogismo Connessione di concetti e pensamento del concetto Identita di giudizio e sillogismo Il ter mine medio e la natura del concetto Pretesi giudizi logici non de finitori Il sillogismo come formola verbale fissa. Uso e abuso di essa Erroneo distacco tra verita e ragione della verita nei concetti puri Distacco tra verita e ragione della verita negli pseudoconcetti. About the Publisher Forgotten Books publishes hundreds of thousands (...) of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

Lógica, formação escolar e filosofia entre os jesuítas Resumo: O interesse mais direto deste artigo é a relação entre a Lógica e a formação filosófica na educação jesuíta. Para compor uma imagem da importância e da concreção da Lógica na formação proposta pelos inacianos, nós nos concentraremos na Ratio Studiorum e na obra do jesuíta português Pedro da Fonseca (1526-1599). A razão do recorte proposto é que as reflexões de Fonseca sobre o tema parecem, por um lado, orientar outros jesuítas, (...) como é o caso de Sebastião do Couto, que é o autor da dialética do Curso Conimbricense; por outro, elas são mais completas, sobretudo pela atenção dada por Fonseca ao método e às disputationes. De posse do conceito de Lógica de Fonseca, concluímos com a indicação de caminhos contemporâneos de revisitação de lógicas do passado. Palavras-chave: lógica; método; educação; jesuítas. Logic, school education and philosophy among the Jesuits Abstract: The most direct interest of this article is the relationship between Logic and philosophical formation in Jesuit education. In order to produce an image of the importance and concretion of Logic in the formation proposed by the Ignatians, we will focus on the Ratio Studiorum and on the work of the Portuguese Jesuit Pedro da Fonseca (1526-1599). The reason for the proposed approach is that Fonseca's reflections on the subject seem, on the one hand, to guide other Jesuits, such as Sebastião do Couto, who is the author of the dialectic of Curso Conimbricense; on the other hand, Fonseca’s conception of logic is more complete regarding the other Jesuits, especially due to the attention given by our author to the method and the disputationes. In possession of Fonseca's Logic concept, we conclude with an indication of contemporary paths for revisiting the logics of the past. Key-words: logic; method; education; Jesuits. Logica, educazione scolastica e filosofia tra i gesuiti Abstract: L’interesse più diretto di questo articolo è il rapporto tra Logica e la formazione filosofica nell’educazione dei gesuiti. Per produrre un’immagine dell’importanza e della concretezza della Logica nella formazione proposta dagli inaziani, ci concentreremo nella Ratio Studiorum e nell’opera del gesuita portoghese Pedro da Fonseca (1526-1599). Il motivo di questa scelta è che le riflessioni di Fonseca sull’argomento sembrano, da un lato, guidare gli altri gesuiti, come Sebastião do Couto, cioè, l’autore della dialettica del Curso Conimbricense; da l’altro, la concezione di logica di Fonseca è più completa riguardo ad’altri gesuiti, soprattutto per l’attenzione data dall’autore al metodo e alle disputationes. Possedendo il concetto di logica di Fonseca, concludiamo con l’indicazione di modi contemporanei di rivisitare le logiche del passato. Parole chiave: logica ; metodo ; educazione ; gesuiti. Data de registro: 16/09/2021 Data de aceite: 01/12/2021. (shrink)

[1. Without special title] -- [2]. Anastatica.

The thirteenth-century logician Lambert of Auxerre was well known for his Summa Lamberti, or simply Logica, written in the mid-1250s, which became an authoritative textbook on logic in the Western tradition. Our knowledge of medieval logic comes in great part from Lambert's Logica and three other texts: William of Sherwood's Introductiones in logicam, Peter of Spain's Tractatus, and Roger Bacon's Summulae dialectics. Of the four, Lambert's work is the best example of question-summas that proceed principally by asking and (...) answering questions on the subject matter. Thomas S. Maloney's translation of Logica, the only complete translation of this work in any language, is a milestone in the study of medieval logic. More than simply a translation, Maloney's project is a critical, comprehensive study of Lambert's logic situated in the context of his contemporaries and predecessors. As such, it offers a wealth of annotation and commentary. The lengthy introduction and extensive notes to the text explain the origin, theoretical context, and intricacies of the text and its doctrines. Maloney also addresses the disputed issues of authorship, date, and place of publication of the Summa Lamberti and makes available to the English-only audience the French, German, and Italian secondary sources--all translated--that are needed to enter the discussion. "Thomas S. Maloney fully commands the primary and secondary sources necessary to elucidate Lambert's Logica. An expert on Roger Bacon's philosophy, he demonstrates a rare proficiency in medieval Latin and scholastic logic. His references to sources from the ancient (Aristotle and Boethius) and medieval worlds are apposite, perspicuous, and useful. The volume's presentation with an appropriate introduction and commentary in the endnotes will no doubt establish it as an indispensable resource for scholars in the twenty-first century." --Alan Perreiah, University of Kentucky. (shrink)

This paper examines two alleged limitations in the use of formal languages: on the one hand, the trade-offs between expressive and inferential power, and on the other, the phenomenon of system imprisonment. After reconceptualizing the issue, we consider the role played by modality in the understanding of certain aspects of mathematical structures and argue for its centrality.

La legitimidad del cultivo de la lógica aristotélica fue cuestionado en el siglo XX. Como resultado, actualmente la pregunta de si debe ser sustituida o restituida permanece sin respuesta, a pesar de que al mismo tiempo ha habido nuevos resultados que manifiestan que se trata de una teoría con perspectiva de desarrollo interno, con independencia de lo que establece la lógica matemática. En este artículo restauramos su unidad interna, perspectivas de desarrollo e independencia, a través del uso de tres axiomas (...) o reglas que permiten incorporar términos indefinidos en la silogística clásica, categórica e hipotética, lo cual le otorga una expresividad comparable a la lógica de primer orden de predicado monádico. (shrink)

Nel suo pionieristico lavoro Conditions in Königsberg and the Making of Kant's Philosophy, Giorgio Tonelli lamentava l'assenza di un'indagine approfondita sul contesto intellettuale di Königsberg e sull'eventuale influenza che esso esercitò su alcuni aspetti del pensiero di Kant. Questo libro vuole colmare questa lacuna prestando particolare attenzione alla tradizione aristotelica, alla Schulphilosophie, e alla corrente dell'eclettismo, che dominarono l'ambiente regiomontano sino all'avvento della filosofia critica kantiana. Il lavoro mostra come dai fallimenti dei progetti logici e metafisici precritici, legati alle influenze (...) ricevute dall'ambiente di Königsberg, Kant abbia tratto le idee e gli spunti per la stesura della Kritik der reinen Vernunft. (shrink)

Un libro de texto de lógica, argumentación y razonamiento probabilístico que he estado escribiendo durante los últimos años. Lo he usado para clases en bachillerato, licenciatura y posgrado. Está incompleto todavía, pero las primeras tres partes (argumentación, lógica proposicional, y cuantificación) están completas a un 85%, aproximadamente. Si lo usas, me ayudarías mucho mandándome comentarios, críticas y cualquier sugerencia.

Collective volume with papers by alumni and students from the Campinas Aristotle Group.

El propósito de este artículo es mostrar las diferencia entre las verdades lógicas y el resto de verdades analíticas, y en especial mostrar los distintos tratamientos formales.

This anonymous source publication of a university discussion held in Prague about 1400 provides us with new information about medieval semantics after Peter of Spain and Richard Billingham. The edition is the basis of a partial reconstruction of Thomas of Cleves’ _Logica_.

En este capítulo ofrecemos una introducción sistemática e histórica a la lógica, disciplina que contribuyó en gran medida a la producción del conocimiento en general y a la formación del pensamiento científico en particular. La primera sección contiene la introducción sistemática: primero, presentamos las distintas disciplinas que forman parte de la lógica en el sentido amplio del término; luego, identificamos a la lógica en sentido canónico o estricto como el estudio la validez; por último, explicamos en qué sentido la validez (...) es una propiedad formal. La segunda sección contiene la introducción histórica; nos detenemos, en particular, a estudiar dos hitos: el nacimiento de la lógica como disciplina con Aristóteles, y la intervención de Gottlob Frege, a quien se debe, en gran parte, el surgimiento de la lógica tal como la conocemos. Finalmente, damos un breve comentario del estado actual de la disciplina. (shrink)