Bolzano's logical system

Bolzano's logical system

by Casari, Ettore

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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 knowledge, Bolzano gradually gained the conviction that the reference of the subje…

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Title Statements

  • Full title :Bolzano's logical system / Ettore Casari.

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 knowledge, Bolzano gradually gained the conviction that the reference of the subject to the object is mediated by a realm of entities without existence that, recalling the Stoic lectà, are here called 'lectological'. This work examines this topic.

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Edition Statements

  • Publication Date:2017.
  • Edition:First edition

Publication Statements

Notes

This edition previously issued in print: 2016.

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9780191830228, 0191830224, 0191092452, 9780191092459
  • oclc:ocn970400834
  • LC Classification:B4805.B652
  • Dewey Decimal:160

Table of 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 …

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