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Author: Francesca Boccuni Publisher: Springer ISBN: 3319316443 Category : Science Languages : en Pages : 370
Book Description
This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns. Promoted by the Italian Network for the Philosophy of Mathematics – FilMat
Author: Francesca Boccuni Publisher: Springer ISBN: 3319316443 Category : Science Languages : en Pages : 370
Book Description
This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge. The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe. They consider fundamental philosophical notions such as set, cardinal number, truth, ground, finiteness and infinity, examining how their informal conceptions can best be captured in formal theories. The philosophy of mathematics is an extremely lively field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns. Promoted by the Italian Network for the Philosophy of Mathematics – FilMat
Author: Justin Clarke-Doane Publisher: Oxford University Press ISBN: 0192556800 Category : Philosophy Languages : en Pages : 208
Book Description
To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to being empirically justified than our moral beliefs. It is also incorrect that reflection on the genealogy of our moral beliefs establishes a lack of parity between the cases. In general, if one is a moral antirealist on the basis of epistemological considerations, then one ought to be a mathematical antirealist as well. And, yet, Clarke-Doane shows that moral realism and mathematical realism do not stand or fall together — and for a surprising reason. Moral questions, insofar as they are practical, are objective in a sense that mathematical questions are not, and the sense in which they are objective can only be explained by assuming practical anti-realism. One upshot of the discussion is that the concepts of realism and objectivity, which are widely identified, are actually in tension. Another is that the objective questions in the neighborhood of factual areas like logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.
Author: Kent Greenawalt Publisher: Oxford University Press ISBN: 0195356926 Category : Philosophy Languages : en Pages : 301
Book Description
In modern times the idea of the objectivity of law has been undermined by skepticism about legal institutions, disbelief in ideals of unbiased evaluation, and a conviction that language is indeterminate. Greenawalt here considers the validity of such skepticism, examining such questions as: whether the law as it exists provides determinate answers to legal problems; whether the law should treat people in an "objective way," according to abstract rules, general categories, and external consequences; and how far the law is anchored in something external to itself, such as social morality, political justice, or economic efficiency. In the process he illuminates the development of jurisprudence in the English-speaking world over the last fifty years, assessing the contributions of many important movements.
Author: Franz Brentano Publisher: Routledge ISBN: 113484381X Category : Philosophy Languages : en Pages : 632
Book Description
Franz Brentano's classic study Psychology from an Empirical Standpoint was the most important of Brentano's works to be published in his lifetime. A new introduction by Peter Simons places Brentano's work in the context of current philosophical thought. He is able to show how Brentano has emerged since the 1970s as a key figure in both contemporary European and Anglo-American traditions and crucial to any understanding the recent history of philosophy and psychology.
Author: Richard L. Kirkham Publisher: Bradford Book ISBN: 9780262277198 Category : Electronic books Languages : en Pages : 0
Book Description
Surveys all of the major theories of truth, presenting the crux of the issues involved at a level accessible to nonexperts yet in a manner sufficiently detailed and original to be of value to professional scholars.
Author: Paul K. Moser Publisher: Oxford University Press ISBN: 0195351355 Category : Philosophy Languages : en Pages : 282
Book Description
Since the beginning of philosophy, philosophers have sought objective knowledge: knowledge of things whose existence does not depend on one's conceiving of them. This book uses lessons from debates over objective knowledge to characterize the kinds of reasons pertinent to philosophical and other theoretical views. It argues that we cannot meet skeptics' typical demands for nonquestion-begging support for claims to objective truth, and that therefore we should not regard our supporting reasons as resistant to skeptical challenges. One key lesson is that a constructive, explanatory approach to philosophy must change the subject from skeptic-resistant reasons to perspectival reasons arising from variable semantic commitments and instrumental, purpose-relative considerations. The book lays foundations for such a reorientation of philosophy, treating fundamental methodological issues in ontology, epistemology, the theory of meaning, the philosophy of mind, and the theory of practical rationality. It explains how certain perennial debates in philosophy rest not on genuine disagreement, but on conceptual diversity: talk about different matters. The book shows how acknowledgment of conceptual diversity can resolve a range of traditional disputes in philosophy. It also explains why philosophers need not anchor their discipline in the physicalism of the natural sciences.
Author: Edward Feser Publisher: Ignatius Press ISBN: 1621641333 Category : Religion Languages : en Pages : 338
Book Description
Five Proofs of the Existence of GodÊprovides a detailed, updated exposition and defense of five of the historically most important (but in recent years largely neglected) philosophical proofs of God's existence: the Aristotelian proof, the Neo-Platonic proof, the Augustinian proof, the Thomistic proof, and the Rationalist proof. Ê This book also offers a detailed treatment of each of the key divine attributes -- unity, simplicity, eternity, omnipotence, omniscience, perfect goodness, and so forth -- showing that they must be possessed by the God whose existence is demonstrated by the proofs.Ê Finally, it answers at length all of the objections that have been leveled against these proofs. Ê This book offers as ambitious and complete a defense of traditional natural theology as is currently in print.Ê Its aim is to vindicate the view of the greatest philosophers of the past -- thinkers like Aristotle, Plotinus, Augustine, Aquinas, Leibniz, and many others -- that the existence of God can be established with certainty by way of purely rational arguments.Ê It thereby serves as a refutation both of atheism and of the fideism which gives aid and comfort to atheism. Ê
Author: Sergio L. de C. Fernandes Publisher: Springer Science & Business Media ISBN: 9401577048 Category : Science Languages : en Pages : 302
Book Description
Kant and Popper. The affmity between the philosophy of Kant and the philosophy of Karl Popper has often been noted, and most decisively in Popper's own reflections on his thought. But in this work before us, Sergio Fernandes has given a cogent, comprehensive, and challenging investigation of Kant which differs from what we may call Popper's Kant while nevertheless showing Kant as very much a precursor of Popper. The investigation is directly conceptual, although Fernandes has also contributed to a novel historical understanding of Kant in his reinterpretation; the novelty is the genuine result of meticulous study of texts and commentators, characterized by the author's thorough command of the epistemological issues in the philosophy of science in the 20th century as much as by his mastery of the Kantian themes of the 18th. Naturally, we may wish to understand whether Kant is relevant to Popper's philosophy of knowledge, how Popper has understood Kant, and to what extent the Popperian Kant has systematically or historically been of influence on later philosophy of science, as seen by Popper or not.
Author: Mario Piazza Publisher: Springer ISBN: 3319933426 Category : Mathematics Languages : en Pages : 278
Book Description
This book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic. Renowned philosophers, mathematicians, and younger scholars provide an insightful contribution to the lively debate in this interdisciplinary field of inquiry. The essays look at realism vs. anti-realism as well as inflationary vs. deflationary theories of truth. The contributors also consider mathematical fictionalism, structuralism, the nature and role of axioms, constructive existence, and generality. In addition, coverage also looks at the explanatory role of mathematics and the philosophical relevance of mathematical explanation. The book will appeal to a broad mathematical and philosophical audience. It contains work from FilMat, the Italian Network for the Philosophy of Mathematics. These papers collected here were also presented at their second international conference, held at the University of Chieti-Pescara, May 2016.
Author: Francesca Boccuni
Author: Francesca Boccuni
Author: Justin Clarke-Doane
Author: Kent Greenawalt
Author: Franz Brentano
Author: Richard L. Kirkham
Author: Paul K. Moser
Author: Edward Feser
Author: Sergio L. de C. Fernandes
Author: Peter J. Steinberger
Author: Mario Piazza