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« The Logic Manual » is a clear and concise introduction to logic for beginning philosophy students. It offers a complete introductory course, guiding the reader carefully through the topics in logic that are most important for the study of philosophy. It covers propositional and predicate logic with and without identity. It includes an account of the semantics of these languages including definitions of truth and satisfaction. Natural deduction is used as a proof system. Volker Halbach introduces the essential concepts through examples and informal explanations as well as through abstract definitions. « The Logic Manual » provides the best entry to the general abstract way of thinking about language, logic, and semantics which is characteristic of contemporary philosophy. Exercises, examples, and sample examination papers are provided on an accompanying website
Logic --- Logic. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology
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Truth --- Truth. --- Vérité --- Vérité. --- Mathematical models. --- Modèles mathématiques. --- Conviction --- Mathematical models --- Belief and doubt --- Philosophy --- Skepticism --- Certainty --- Necessity (Philosophy) --- Pragmatism
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Truth. --- Logic, Symbolic and mathematical. --- Vérité --- Logique symbolique et mathématique --- Logic, Symbolic and mathematical --- Truth --- Conviction --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Belief and doubt --- Philosophy --- Skepticism --- Certainty --- Necessity (Philosophy) --- Pragmatism --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism
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At the centre of the traditional discussion of truth is the question of how truth is defined. Recent research, especially with the development of deflationist accounts of truth, has tended to take truth as an undefined primitive notion governed by axioms, while the liar paradox and cognate paradoxes pose problems for certain seemingly natural axioms for truth. In this book, Volker Halbach examines the most important axiomatizations of truth, explores their properties and shows how the logical results impinge on the philosophical topics related to truth. In particular, he shows that the discussion on topics such as deflationism about truth depends on the solution of the paradoxes. His book is an invaluable survey of the logical background to the philosophical discussion of truth, and will be indispensable reading for any graduate or professional philosopher in theories of truth.
Truth -- Mathematical models. --- Truth. --- Truth --- Mathematical models. --- Conviction --- Belief and doubt --- Philosophy --- Skepticism --- Certainty --- Necessity (Philosophy) --- Pragmatism --- Logic
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Academic collection --- Logic, Symbolic and mathematical --- Truth
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On the one hand, the concept of truth is a major research subject in analytic philosophy. On the other hand, mathematical logicians have developed sophisticated logical theories of truth and the paradoxes. Recent developments in logical theories of the semantical paradoxes are highly relevant for philosophical research on the notion of truth. And conversely, philosophical guidance is necessary for the development of logical theories of truth and the paradoxes. From this perspective, this volume intends to reflect and promote deeper interaction and collaboration between philosophers and logicians investigating the concept of truth than has existed so far. Aside from an extended introductory overview of recent work in the theory of truth, the volume consists of articles by leading philosophers and logicians on subjects and debates that are situated on the interface between logical and philosophical theories of truth. The volume is intended for graduate students in philosophy and in logic who want an introduction to contemporary research in this area, as well as for professional philosophers and logicians
Truth. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Conviction --- Belief and doubt --- Philosophy --- Skepticism --- Certainty --- Necessity (Philosophy) --- Pragmatism
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