Objectivity, Realism, and Proof

Objectivity, Realism, and Proof PDF

Author: Francesca Boccuni

Publisher: Springer

Published: 2016-07-05

Total Pages: 370

ISBN-13: 3319316443

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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

Objectivity

Objectivity PDF

Author: Guy Axtell

Publisher: John Wiley & Sons

Published: 2016-09-12

Total Pages: 216

ISBN-13: 1509502092

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What do you find more trustworthy, experts or numbers, personal 'know-how' or 'objective facts'? Can science claim special authority based on the objectivity of its methods? Are our ethical decisions always better when we strive to be impartial and unbiased? Why should we value objectivity, and is it achievable anyway? These are a few of the thought-provoking questions Guy Axtell asks in this comprehensive new text book, employing examples from the natural and social sciences as well as philosophy. This unique introduction surveys the key issues in a clear and concise way, assessing the nature of objectivity and value of the demand to be impartial decision-makers. Moving beyond the fundamentals, Axtell explores contemporary feminist and social epistemological attempts to 'reconstruct' the concept of objectivity, explains the implications of the so-called science wars for philosophy and the analytical method, and the ethical consequences of these debates. Objectivity is an excellent introduction to one of the most exciting areas of study in philosophy and science today. Students and scholars alike will value this balanced guide to a hotly contested, and vitally important, topic.

Truth and Objectivity

Truth and Objectivity PDF

Author: Crispin Wright

Publisher: Harvard University Press

Published: 2009-07-01

Total Pages: 263

ISBN-13: 0674045386

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Crispin Wright offers an original perspective on the place of “realism” in philosophical inquiry. He proposes a radically new framework for discussing the claims of the realists and the anti-realists. This framework rejects the classical “deflationary” conception of truth yet allows both disputants to respect the intuition that judgments, whose status they contest, are at least semantically fitted for truth and may often justifiably be regarded as true. In the course of his argument, Wright offers original critical discussions of many central concerns of philosophers interested in realism, including the “deflationary” conception of truth, internal realist truth, scientific realism and the theoreticity of observation, and the role of moral states of affairs in explanations of moral beliefs.

Varieties of Scientific Realism

Varieties of Scientific Realism PDF

Author: Evandro Agazzi

Publisher: Springer

Published: 2017-03-08

Total Pages: 405

ISBN-13: 3319516086

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This book offers a comprehensive update on the scientific realism debate, enabling readers to gain a novel appreciation of the role of objectivity and truth in science and to understand fully the various ways in which antirealist conceptions have been subjected to challenge over recent decades. Authoritative representatives of different philosophical traditions explain their perspectives on the meaning and validity of scientific realism and describe the strategies being adopted to counter persisting antirealist positions. The coverage extends beyond the usual discussion of realism within the context of the natural sciences, and especially physics, to encompass also its applicability in mathematics, logic, and the human sciences. The book will appeal to all with an interest in the recent realist epistemologies of science, the nature of current philosophical debate, and the ongoing rehabilitation of truth as the legitimate goal of scientific research.

Morality and Mathematics

Morality and Mathematics PDF

Author: Justin Clarke-Doane

Publisher: Oxford University Press

Published: 2020-03-12

Total Pages: 208

ISBN-13: 0192556800

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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.

Objectivity

Objectivity PDF

Author: Tibor R. Machan

Publisher: Routledge

Published: 2017-11-28

Total Pages: 186

ISBN-13: 135115222X

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The question of objectivity is whether human beings are capable of knowing reality just as it is, or whether there is some necessary distortion in our grasp of the nature of things imposed either by the very nature of our cognitive mechanism, or by such factors as language, culture, personal ambitions, psychological disorders, and class interests. Could it be that we do not see the world at all, since we see it from a particular point of view? Can we ever satisfactorily establish that our understanding of reality is accurate, or must that always remain in doubt? In this book Professor Machan defends objectivity in philosophy, science, and everyday life from its many critics. Objectivity stands in need of a defence because it is a difficult ideal to serve, especially in an era of multiculturalism, deconstructionism, feminism, and diversity. People from different cultures report having radically different experiences, indeed radically different worlds. They usually claim that their experiences are as true as anyone else‘s. Deconstructionists tell us that we know nothing determinate beyond language, i.e., that we don‘t know what we are talking about. Feminists often maintain that women and men see the world in significantly different ways. The idea of diversity gains much of its plausibility from the idea that people from diverse backgrounds all have their own valid ways of seeing the world. The most prominent movements in Anglo-American and continental philosophy are against objectivity. Such figures as Richard Rorty and Jacques Derrida unambiguously deny that human beings are capable of knowing the world as it is. This book considers and responds to these and similar challenges to objectivity.

In Defence of Objectivity and Other Essays

In Defence of Objectivity and Other Essays PDF

Author:

Publisher:

Published: 2003

Total Pages:

ISBN-13: 9781280062353

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This volume addresses the interlocking themes of realism, objectivity, existentialism and (eco-socialist) politics, based on critical realism. However, it moves beyond the purely scientific orientation of earlier contributions to this philosophy, to further develop the themes. The title essay defends objectivity in science, everyday knowledge, and ethics, and examines both subjective idealism and existentialist critiques of objectivity. The other essays examine some of the same themes but from different angles, keeping the politics of the issues at the forefront.