Russell's Hidden Substitutional Theory

Russell's Hidden Substitutional Theory PDF Author: Gregory Landini
Publisher: Oxford University Press, USA
ISBN: 0195116836
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 350

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Book Description
In The Principles of Mathematics, Bertrand Russell set forth his logicist thesis that the concepts of non-applied mathematics are those of pure logic. In this revisionist interpretation. Gregory Landini explores an important central thread that unifies Russell's thoughts on logic in the two works. The heart of Landini's book is a careful presentation and exploration of Russell's largely unpublished "substitutional" theory of propositions.

Russell's Hidden Substitutional Theory

Russell's Hidden Substitutional Theory PDF Author: Gregory Landini
Publisher: Oxford University Press, USA
ISBN: 0195116836
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 350

Get Book Here

Book Description
In The Principles of Mathematics, Bertrand Russell set forth his logicist thesis that the concepts of non-applied mathematics are those of pure logic. In this revisionist interpretation. Gregory Landini explores an important central thread that unifies Russell's thoughts on logic in the two works. The heart of Landini's book is a careful presentation and exploration of Russell's largely unpublished "substitutional" theory of propositions.

The Palgrave Centenary Companion to Principia Mathematica

The Palgrave Centenary Companion to Principia Mathematica PDF Author: Bernard Linsky
Publisher: Springer
ISBN: 1137344636
Category : Philosophy
Languages : en
Pages : 479

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Book Description
To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.

Russell

Russell PDF Author: Gregory Landini
Publisher: Routledge
ISBN: 1136934677
Category : Philosophy
Languages : en
Pages : 502

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Book Description
Bertrand Russell (1872–1970) was renowned as one of the founding figures of "analytic" philosophy, and for his lasting contributions to the study of logic, philosophy of language, philosophy of mathematics and epistemology. He was also famous for his popular works, where his humanism, ethics and antipathy towards religion came through in books such as The Problems of Philosophy, Why I am Not A Christian, and The Conquest of Happiness. Beginning with an overview of Russell’s life and work, Gregory Landini carefully explains Russell’s philosophy, to show why he ranks as one of the giants of British and Twentieth century philosophy. He discusses Russell’s major early works in philosophy of mathematics, including The Principles of Mathematics, wherein Russell illuminated and developed the ideas of Gottlob Frege; and the monumental three volume work written with Alfred North Whitehead, Principia Mathematica, where the authors attempted to show that all mathematical theory is part of logic, understood as a science of structure. Landini discusses the second edition of Principia Mathematica, to show Russell’s intellectual relationship with Wittgenstein and Ramsey. He discusses Russell’s epistemology and neutral monism before concluding with a discussion on Russell’s ethics, and the relationship between science and religion. Featuring a chronology and a glossary of terms, as well as suggestions for further reading at the end of each chapter, Russell is essential reading for anyone studying philosophy, and is an ideal guidebook for those coming to Russell for the first time.

The Cambridge Companion to Bertrand Russell

The Cambridge Companion to Bertrand Russell PDF Author: Nicholas Griffin
Publisher: Cambridge University Press
ISBN: 113982581X
Category : Philosophy
Languages : en
Pages : 833

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Book Description
Bertrand Russell ranks as one of the giants of twentieth-century philosophy. Through his books, journalism, correspondence and political activity he exerted a profound influence on modern thought. This companion centers on Russell's contributions to modern philosophy and, therefore, concentrates on the early part of his career. There are chapters on Russell's contributions to the foundations of mathematics, and on his development of logical methods in philosophy and their application to such fields as epistemology, metaphysics and the philosophy of language. The intellectual background to his work is covered, as is his engagement with such contemporaries as Frege and G. E. Moore. The final chapter considers Russell as a moral philosopher. New readers will find this the most convenient and accessible guide to Russell available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Russell.

Russell Vs. Meinong

Russell Vs. Meinong PDF Author: Nicholas Griffin
Publisher: Routledge
ISBN: 1135893152
Category : Philosophy
Languages : en
Pages : 399

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Book Description
A century after ‘On Denoting’ was published, the debate it initiated continues to rage. On the one hand, there is a mass of new historical scholarship, about both Russell and Meinong, which has not circulated very far beyond specialist scholars. On the other hand, there are continuing problems and controversies concerning contemporary Russellian and Meinongian theories, many of them involving issues that simply did not occur to the original protagonists. This work provides an overview of the latest historical scholarship on the two philosophers as well as detailed accounts of some of the problems facing the current incarnations of their theories.

The Bloomsbury Companion to Bertrand Russell

The Bloomsbury Companion to Bertrand Russell PDF Author: Russell Wahl
Publisher: Bloomsbury Publishing
ISBN: 147427806X
Category : Philosophy
Languages : en
Pages : 449

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Book Description
A founder of modern analytic philosophy and one of the most important logicians of the twentieth century, Bertrand Russell has influenced generations of philosophers. The Bloomsbury Companion to Bertrand Russell explores this influence in detail and responds to renewed interest in Russell's philosophical approach, presenting the best guide to research in Russell studies today. Bringing new insights into Russell's relationship with his contemporaries, a team of experts explore his life-long battles with important philosophical issues. They consider how he influenced thinkers and schools of thought, from Schröder, Frege and Meinong to Wittgenstein and the Vienna Circle, while also covering his impact on individual issues in epistemology, logic, metaphysics, philosophy of mind, philosophy of language, and political philosophy. Importantly this companion discusses often overlooked topics. Focusing on Russell's later views, including his moral philosophy and his politics, reveals that Russell did make significant contributions to ethics - both theoretical and practical - in the course of his career. Through a combination of enlightening historical background and sustained focus on Russell's impact on contemporary areas of philosophy, The Bloomsbury Companion to Bertrand Russell demonstrates why Russell continues to influence philosophers of language, mathematics, epistemology and metaphysics.

One Hundred Years of Russell ́s Paradox

One Hundred Years of Russell ́s Paradox PDF Author: Godehard Link
Publisher: Walter de Gruyter
ISBN: 3110199688
Category : Mathematics
Languages : en
Pages : 673

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Book Description
The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefore, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs PDF Author: Ivo Düntsch
Publisher: Springer Nature
ISBN: 3030714306
Category : Philosophy
Languages : en
Pages : 591

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Book Description
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

The Theory of Descriptions

The Theory of Descriptions PDF Author: G. Stevens
Publisher: Springer
ISBN: 0230343198
Category : Philosophy
Languages : en
Pages : 208

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Book Description
The book combines a historical and philosophical study of Russell's theory of descriptions. It defends, develops and extends the theory as a contribution to natural language semantics while also arguing for a reassessment of the important of linguistic inquiry to Russell's philosophical project.

The Routledge Handbook of Propositions

The Routledge Handbook of Propositions PDF Author: Chris Tillman
Publisher: Taylor & Francis
ISBN: 1351982273
Category : Philosophy
Languages : en
Pages : 569

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Book Description
Propositions are routinely invoked by philosophers, linguists, logicians, and other theorists engaged in the study of meaning, communication, and the mind. To investigate the nature of propositions is to investigate the very nature of our connection to each other, and to the world around us. As one of the only volumes of its kind, The Routledge Handbook of Propositions provides a comprehensive overview of the philosophy of propositions, from both historical and contemporary perspectives. Comprising 33 original chapters by an international team of scholars, the volume addresses both traditional and emerging questions concerning the nature of propositions, and our capacity to engage with them in thought and in communication. The chapters are clearly organized into the following three sections: I. Foundational Issues in the Theory of Propositions II. Historical Theories of Propositions III. Contemporary Theories of Propositions Essential reading for philosophers of language and mind, and for those working in neighboring areas, The Routledge Handbook of Propositions is suitable for upper-level undergraduate study, as well as graduate and professional research.