The Age of Alternative Logics (original) (raw)
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The Philosophy of Alternative Logics
The Development of Modern Logic, 2009
This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. Keywords: classical logic, logical theory, intuitionistic logic, quantum logic, relevance logic, paraconsistent logic
Other Logics: Alternatives to Formal Logic in the History of Thought and Contemporary Philosophy
History and Philosophy of Logic, 2015
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On the very idea of choosing a logic: the role of the background logic
2020
Logical anti-exceptionalism is the view that logic is not special among the sciences. In particular, anti-exceptionalists claim that logical theory choice is effected on the same bases as any other theory choice procedure, i.e., by abduction, by weighting pros and cons of rival views, and by judging which theory scores best on a given set of parameters. In this paper, we first present the anti-exceptionalists favourite method for logical theory choice. After spotting on important features of the method, we discuss how they lead to trouble when the subject matter of choice is logic itself. The major difficulty we find concerns the role of the logic employed to evaluate theory choice, or, more specifically, the role of the metalanguage employed to run the abductive method. When rival logical theories are being evaluated and compared, we argue, it is difficult not to beg some important questions; the metalanguage introduce biases difficult to avoid. These difficulties seem to be inhere...
Serie Cuadernos de Lógica, Epistemología y Lenguaje (College Publications, UK)
La lógica experimenta actualmente un crecimiento vertiginoso. Acompañada de un impulso inter y transdisciplinario, se despliega como un saber que transforma la naturaleza de las nociones de epistemolog&iacure;a y semántica. Es hora de que los filósofos se confronten a los problemas y a las nuevas preguntas esbozadas por estos avances. En verdad es manifiesto que hay ya algunos emprendimientos importantes en ese sentido. Emprendimientos que contribuyen en la exploración de nuevas direcciones del rol de la lógica como organon. El objetivo principal de nuestra colección es precisamente promover la publicación y traducción de obras en lengua castellana sobre lógica, filosofía de la lógica, filosofía de la ciencia, epistemología y semántica de la lenguas naturales. Esperamos que un tal foro de publicación fomentará la consolidación de vínculos ya existentes entre las disciplinas mencionadas y la construcción de nuevos lazos inter-y transdisciplinarios. Logic is nowadays growing at a breathtaking pace with a trans-and interdisciplinary élan which is transforming the very nature of the notion of epistemology and semantics. The time is ripe for philosophers to take up the challenges resulting from this impulse and indeed there are clear signals that many philosophers have already responded by taking upon themselves the task of reinstating logic in a new version of its old role of organon.The aim of this series is to promote the publication in Spanish of worksin logic, philosophy of logic, philosophy of science, epistemology and semantic for natural languag. This publication forum should foster the consolidation of existing links between those disciplines and the building of new inter and transdisplinary ones. The Volume La lógica como herramienta de la razón has been published by the UK publisher College Publications. Their Spanish language series Cuadernos de Logica, Epistemologia y Lenguaje, distinguishes itself by promoting and supporting researche in the field of Logic, where logic takes anew the role of an Organon, prescribed in Antiquity by Aristotle. Nowadays; this role of logic is deployed in its inter-and transdisciplianry character. Two other salient characteristics of this collection that I would like to point out, is as, already mentioned, that it publishes original work in Spanish and the second is copyright policy of all CP titles that allows authors to retain full rights for their own work. Prof. Atocha Aliseda (Universidad Autonoma de Mexico) We congratulate, moreover (the Spanish-speaking scientific community) should congratulate ourselves for the launching of a collection that promotes the publication in Spanish of work in this field, " Prof Arancha San Ginés (Universidad de Granada) Extracted from the Radio interview with Atocha Aliseda (Universidad Autonoma de Mexico), on the occassion of the publication in 2014 of her book La lógica como herramienta de la razón. Directores de la Serie: Shahid Rahman (Université de Lille3-STL:UMR 8163-CNRS) Juan Redmond (Universidad de Valparaíso, STL-UMR8163 Lille3) Editor Asistente: Rodrigo López Orellana (Universidad de Valparaíso/Universidad de Salamanca)
Philosophical Logic: Current Trends in Asia
2017
This book series promotes the advance of scientific research within the field of logic in Asian countries. It strengthens the collaboration between researchers based in Asia with researchers across the international scientific community and offers a platform for presenting the results of their collaborations. One of the most prominent features of contemporary logic is its interdisciplinary character, combining mathematics, philosophy, modern computer science, and even the cognitive and social sciences. The aim of this book series is to provide a forum for current logic research, reflecting this trend in the field's development. The series accepts books on any topic concerning logic in the broadest sense, i.e., books on contemporary formal logic, its applications and its relations to other disciplines. It accepts monographs and thematically coherent volumes addressing important developments in logic and presenting significant contributions to logical research. In addition, research works on the history of logical ideas, especially on the traditions in China and India, are welcome contributions. The scope of the book series includes but is not limited to the following: • Monographs written by researchers in Asian countries. • Proceedings of conferences held in Asia, or edited by Asian researchers. • Anthologies edited by researchers in Asia. • Research works by scholars from other regions of the world, which fit the goal of "Logic in Asia". The series discourages the submission of manuscripts that contain reprints of previously published material and/or manuscripts that are less than 165 pages/ 90,000 words in length. Please also visit our webpage: http://tsinghualogic.net/logic-in-asia/background/ Relation with Studia Logica Library This series is part of the Studia Logica Library, and is also connected to the journal Studia Logica. This connection does not imply any dependence on the Editorial Office of Studia Logica in terms of editorial operations, though the series maintains cooperative ties to the journal. This book series is also a sister series to Trends in Logic and Outstanding Contributions to Logic.
The current dominant view about logic is that there is a single paradigm of logic, logic as justification, according to which logic is a means of justification and consists in a theory of deduction. The paradigm originated with Aristotle's logic and its current form is mathematical logic. The latter was created to justify mathematics by putting it on a firm foundation, it includes Aristotle's logic as a small fragment, and is adequate as a logic of justification. This paper, however, argues that this view is not valid. Aristotle's logic does not belong to the paradigm of logic as justification because it is a method of discovery, and mathematical logic is inadequate as a means of justification. Besides the paradigm of logic as justification, there is the paradigm of logic as discovery, according to which logic is a method of discovery and consists in the analytic method. The latter is adequate as a means of discovery, and hence also as a means of justification, because in the analytic method justification is part of discovery.