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From Logic to Practice
This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.
Discipline Filosofiche (2015-1)
Contents: Mario Alai, Andrea Sereni and Giorgio Volpe, Guest Editors’ Preface • Ernest Sosa, Philosophical Intuitions and Metaphysical Analysis • Jonathan M. Weinberg, The Methodological Necessity of Experimental Philosophy • Steven Bland, Conceptual Analysis, Analytic Philosophy, and the Psychologistic Turn • Bryce Huebner, The Construction of Philosophical Intuitions • Alfredo Tomasetta, Physicalist Naturalism in the Philosophy of Mind (far less Warranted than Usually Thought) • Markus Pantsar, Assessing the “Empirical Philosophy of Mathematics” • Huginn Freyr Thorsteinsson, Experimental Philosophy and the Importance of Intuitions in the Philosophy of Language • Francesca Ervas, Elisabetta Gola, Antonio Ledda and Giuseppe Sergioli, Lexical Ambiguity in Elementary Inferences: an Experimental Study • Richard Davies, How to Point a Philosophical Armchair
Introduction to International Criminal Law
This title covers the history, nature, and sources of international criminal law; the ratione personae; ratione materiae - sources of substantive international criminal law; the indirect enforcement system; the direct enforcement system; and much more.
Numerical Cognition and the Epistemology of Arithmetic
The first book-length philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition.
The Prehistory of Mathematical Structuralism
This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
The Call of Coincidence
Strange happenstances and chance encounters have puzzled us for centuries. This fun and fascinating book takes readers on a journey through the mathematics behind coincidences both famous and never-before-examined. From peculiar patterns in geometry and calculus to the famous Waring Problem, and other astonishing numerical curiosities, The Call of Coincidence begins by examining the mathematical properties that underpin everything there is. Next, author Owen O’Shea – along with fictional guides Charlie Chance and the enigmatic Dr. Moogle – reveals surprising connections and correlations throughout history, including numerical coincidences behind the reign of King Richard III, the sinking of the SS Edmund Fitzgerald, the 1996 FIFA World Cup, and much, much more. By investigating the properties, puzzles, and problems within, you will gain a newfound appreciation for the beautiful simplicity of mathematics in its many forms. Featuring surprising trivia gems alongside serious questions like why there is something rather than nothing, readers will be enriched by this exploration of remarkable number coincidences and the mathematics that make them possible – and probable. ,
Eva Picardi on Language, Analysis and History
The volume honours Eva Picardi – her philosophical views and interests, as well as her teaching – collecting eighteen essays, some by former students of hers, some by colleagues with whom she discussed and interacted. The themes of the volume encompass topics ranging from foundational and historical issues in the philosophy of language and the philosophy of logic and mathematics, as well as issues related to the recent debates on rationality, naturalism and the contextual aspects of meaning. The volume is split into three sections: one on Gottlob Frege’s work – in philosophy of language and logic –, taking into account also its historical dimension; one on Donald’s Davidson’s work; and one on the contextualism-literalism dispute about meaning and on naturalist research programmes such as Chomsky’s.
Objects, Structures, and Logics
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Thin Objects
Mathematics appears to be concerned with abstract objects such as numbers and sets. What are these objects? Oystein Linnebo develops a distinctive approach to ontology, in which abstract objects such as numbers and sets are demystified and allowed to exist alongside more familiar physical objects.
