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Contradictions, from Consistency to Inconsistency
This volume investigates what is beyond the Principle of Non-Contradiction. It features 14 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions. Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths. Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.
Philosophy of Computing
This book features a unique selection of works presented at the 2019 annual international conference of the International Association for Computing and Philosophy (IACAP). Every contribution has been peer-reviewed, revised, and extended. The included chapters are thematically diverse; topics include epistemology, dynamic epistemic logic, topology, philosophy of science and computation, game theory and abductive inferences, automated reasoning and mathematical proofs, computer simulations, scientific modelling, applied ethics, pedagogy, human-robot interactions, and big data, algorithms, and artificial intelligence. The volume is a testament to the value of interdisciplinary approaches to the...
Understanding and Conscious Experience
This volume explores how understanding relates to conscious experience. In doing so, it builds bridges between different philosophical disciplines and provides a metaphysically robust characterization of understanding, both in and beyond science. The past two decades have witnessed growing interest from epistemologists, philosophers of science, philosophers of mind and ethicists in the nature and value of intellectual understanding. This volume features original essays on understanding and the phenomenal experiences that underlie it. The chapters are divided into three thematic sections. Part 1 provides theoretical characterizations of understanding, including Henk de Regt’s defense of a c...
Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics
This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in many different directions, commenting on aspects not completely developed so far, and, more importantly, critically addressing their current formulations and defenses by Krause himself. Gi...
Humanizing Mathematics and its Philosophy
This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data proces...
Logical Studies of Paraconsistent Reasoning in Science and Mathematics
This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent ...
Philosophical Approaches to the Foundations of Logic and Mathematics
Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.
ARS LOGICORUM III. Aproximaciones a la modalidad, problemas y soluciones
La intención de este volumen es la de profundizar desde varias perspectivas la temática de la modalidad. De ahí que los artículos reunidos nos mencionen nociones como la necesidad, la contingencia y la posibilidad desde varias especialidades filosóficas. La modalidad ha fecundado los estudios lógicos en los últimos años, abre debates inconclusos en filosofía y proporciona alternativas conceptuales cuyo poder explicativo no ha sido explotado por completo. Es por ello, por lo que el Ars Logicorum 3 presenta un crisol de maneras de entender la modalidad desde autores como Aristóteles, Santo Tomás, Stalnaker, Lewis, la semántica y el problema de Newcomb.
Inconsistency in Science
For centuries, inconsistencies were seen as a hindrance to good reasoning, and their role in the sciences was ignored. In recent years, however, logicians as well as philosophers and historians have showed a growing interest in the matter. Central to this change were the advent of paraconsistent logics, the shift in attention from finished theories to construction processes, and the recognition that most scientific theories were at some point either internally inconsistent or incompatible with other accepted findings. The new interest gave rise to important questions. How is `logical anarchy' avoided? Is it ever rational to accept an inconsistent theory? In what sense, if any, can inconsistent theories be considered as true? The present collection of papers is the first to deal with this kind of questions. It contains case studies as well as philosophical analyses, and presents an excellent overview of the different approaches in the domain.
The Contradictory Christ
Leading scholar Jc Beall advances a contradictory Christology by addressing the apparent contradiction of Christ's being fully human and fully divine.
