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Bolzano's logical system

Author: Ettore Casari
Publisher: Oxford : Oxford University Press, 2017.
Series: Oxford logic guides.
Edition/Format:   eBook : Document : English : First editionView all editions and formats
Summary:
A starting point of Bolzano's logical reflection was the conviction that among truths there is a connection, according to which some truths are grounds of others, and these in turn are consequences of the former, and that such a connection is objective, i.e. subsisting independently of every cognitive activity of the subject. In the attempt to account for the distinction between subjective and objective levels of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version :
Named Person: Bernard Bolzano
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ettore Casari
ISBN: 9780191830228 0191830224 0191092452 9780191092459
OCLC Number: 970400834
Notes: This edition previously issued in print: 2016.
Target Audience: Specialized.
Description: 1 online resource.
Contents: Cover; PREFACE; ACKNOWLEDGEMENTS; CONTENTS; 1 Introduction; 1.1 The Bolzanian Conceptual Universe; 1.2 The Logic and the Language; 1.3 General (Elementary) Principles of Ontology, Lectology, and Epistemology; 1.4 Restricted Quantifiers; 1.5 Variation; 1.6 Ordered n-tuples; 1.7 Relations (Relational Qualities); 2 Elementary Level (A): Ideas; 2.1 Preamble; 2.2 Properties of Ideas; 2.3 Relations Between Two Ideas; 2.4 Relations Among Several Ideas; 2.5 The Idea of Something; 2.6 Concretization; 2.7 Concrete and Abstract Ideas; 2.8 Intuitions; 2.9 Sum of Quality Ideas. 2.10 Another Lectological Operation on Quality Ideas2.11 Negation; 3 Elementary Level (B): Propositions; 3.1 Atomic Propositions; 3.2 Aristotelian Universal Propositions with Existential Import; 3.3 Material Proprieties and Relations of Propositions; 3.4 Complex Propositions; 3.5 Variation; 3.6 Formal Properties and Relations of Ideas; 3.7 Validity of Propositions; 3.8 Analytic and Synthetic Truth and Falsity; 3.9 Formal Relations Among Propositions; 3.10 Formal Connectives; 3.11 Probability; 3.12 Probability of Events; 4 Symbolic Level. 4.1 Preliminary Remark: Properties of Things and Quality of Objects4.2 Bolzano's Conjecture; 4.3 Restricted Symbolic Level-Ideas of Ideas; 4.4 The Traditional Categorical Propositions; 4.5 Extended Symbolic Level: Ideas of Propositions; 4.6 Material Connectives; 4.7 Formal Properties and Relations; 4.8 Formal Properties of Collections of Propositions; 4.9 Formal Relations Among Propositions; 4.10 Generalization to a Finite Set of Ideas; 4.11 Formal Connectives Among Finite Sets of Propositions; 4.12 'Arbitrary Sets' of Ideas and Propositions. 4.13 Generalization of Properties and Material Relations among Ideas4.14 Two Operations on Ideas of Object Ideas; 4.15 New Formulation of the Material Relations among Ideas of Ideas; 4.16 Bolzano's Thesis for Material Relations Among Sets of Ideas; 4.17 Material Conjunctions and Disjunctions; 4.18 Formal Properties of 'Arbitrary Sets' of Propositions; 4.19 Formal Relations among 'Arbitrary Sets' of Propositions; 4.20 Formal Connectives among 'Arbitrary Sets' of Propositions; 5 Inferences; 5.1 Preliminaries; 5.2 Rules to Obtain Inferences from Inferences. 5.3 Inferences with One or More Universal Premises5.4 Inferences with at Least One Negated Universal Premise; 5.5 Inferences with One or More Existential or Inexistential Premises; 5.6 Syllogistic Inferences; 5.7 Inferences from Premises Containing Width Determinations; 5.8 Inferences from Premises Enunciating Relations among Ideas; 5.9 Inferences from Premises Enunciating Relations among Propositions; 6 Higher Level; 6.1 Preamble; 6.2 The Problem of Vacuous Qualities; 6.3 Truth as Enunciation of a Situation; 6.4 Qualities of Qualities; 7 Etiology; 7.1 Consecutivity; 7.2 Dependence.
Series Title: Oxford logic guides.
Responsibility: Ettore Casari.

Abstract:

A unique new book exploring Bernard Bolzano's Wissenschaftslehre (Theory of Science) and introducing a formal system to examine the logic presented in Bolzano's work.  Read more...

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Casari's book is the most complete, the most innovative and exciting work on Bolzano's logical system. Better than previous works on this subject, it shows the complexity and the depth of Bolzanos Read more...

 
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