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A new pragmatist philosophy of science that conceives truth and reality as operational ideals achievable in actual scientific practice.
This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the p...
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Philosophy in the Islamic World is a comprehensive and unprecedented four-volume reference work devoted to the history of philosophy in the realms of Islam, from its beginnings in the eighth century AD down to modern times. In the period covered by this second volume (eleventh and twelfth centuries). Both major and minor figures of the period are covered, giving details of biography and doctrine, as well as detailed lists and summaries of each author’s works. This is the English version of the relevant volume of the Ueberweg, the most authoritative German reference work on the history of philosophy ( Philosophie in der Islamischen Welt Band II: 11.–12. Jahrhundert. Zentrale und östliche Gebiete , Basel: Schwabe, 2021). Contributors Peter Adamson, Amos Bertolacci, Hans Daiber, Frank Griffel, Dimitri Gutas, Hermann Landolt, Wilferd Madelung, Jon McGinnis, Ahmed H. al-Rahim, David C. Reisman, Ulrich Rudolph, Tony Street, Johannes Thomann, and Renate Würsch.
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.
This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of...
This volume contains sixteen contributions from the fourth conference on the Foundations of Arabic linguistics (Genova, 2016), all having to do with the development of linguistic theory in the Arabic grammatical tradition, starting from Sībawayhi's Kitāb (end of the 8th century C.E.) and its continuing evolution in later grammarians up till the 14th century C.E. The scope of this volume includes the links between grammar and other disciplines, such as lexicography and logic, and the reception of Arabic grammar in the Persian and Malay linguistic tradition.