Foundations Of Logical Consequence


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Foundations of Logical Consequence


Foundations of Logical Consequence

Author: Colin R. Caret

language: en

Publisher: Mind Association Occasional

Release Date: 2015


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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.

Foundations of Logical Consequence


Foundations of Logical Consequence

Author: Colin R. Caret

language: en

Publisher:

Release Date: 2015


DOWNLOAD





This volume presents new work on a central issue in the philosophy of logic. Leading figures in the field offer ground-breaking insights into topics including the nature of logical consequence; the relation between logic and inference; the relativity of logic; and the structural properties of the consequence relation.

Logical Pluralism and Logical Consequence


Logical Pluralism and Logical Consequence

Author: Erik Stei

language: en

Publisher: Cambridge University Press

Release Date: 2023-03-30


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Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or arguments. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that there is more than one way for an argument to be valid. In this book, Erik Stei defends logical monism, provides a detailed analysis of different possible formulations of logical pluralism, and offers an original account of the plurality of correct logics that incorporates the benefits of both pluralist and monist approaches to logical consequence. His book will be valuable for a range of readers in the philosophy of logic.