Holdings: Logical thinking in the pyramidal schema of concepts

Logical thinking in the pyramidal schema of concepts: the logical and mathematical elements

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Bibliographic Details
Main Authors:	Geldsetzer, Lutz 1937-2019 (Author), Schwartz, Richard L. (Author)
Format:	Book
Language:	English
Published:	Dordrecht [u.a.] Springer 2013
Subjects:	Mathematische Logik
Online Access:	Volltext Abstract
Physical Description:	XLIV, 137 S. Ill.
ISBN:	9789400753006 9789400753013
DOI:	10.1007/978-94-007-5301-3

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MARC


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Record in the Search Index

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adam_text	LOGICAL THINKING IN THE PYRAMIDAL SCHEMA OF CONCEPTS: THE LOGICAL AND MATHEMATICAL ELEMENTS / GELDSETZER, LUTZ : 2013 ABSTRACT / INHALTSTEXT THIS NEW VOLUME ON LOGIC FOLLOWS A RECOGNIZABLE FORMAT THAT DEALS IN TURN WITH THE TOPICS OF MATHEMATICAL LOGIC, MOVING FROM CONCEPTS, VIA DEFINITIONS AND INFERENCES, TO THEORIES AND AXIOMS. HOWEVER, THIS FRESH WORK OFFERS A KEY INNOVATION IN ITS ‘PYRAMIDAL’ GRAPH SYSTEM FOR THE LOGICAL FORMALIZATION OF ALL THESE ITEMS. THE AUTHOR HAS DEVELOPED THIS NEW METHODOLOGY ON THE BASIS OF ORIGINAL RESEARCH, TRADITIONAL LOGICAL INSTRUMENTS SUCH AS PORPHYRIAN TREES, AND MODERN CONCEPTS OF CLASSIFICATION, IN WHICH PYRAMIDS ARE THE CENTRAL ORGANIZING CONCEPT. THE PYRAMIDAL SCHEMA ENABLES BOTH THE CONTENT OF CONCEPTS AND THE RELATIONS BETWEEN THE CONCEPT POSITIONS IN THE PYRAMID TO BE READ OFF FROM THE GRAPH. LOGICAL CONNECTORS ARE ANALYZED IN TERMS OF THE DIRECTION IN WHICH THEY CONNECT WITHIN THE PYRAMID. ADDITIONALLY, THE AUTHOR SHOWS THAT LOGICAL CONNECTORS ARE OF FUNDAMENTALLY DIFFERENT TYPES: ONLY ONE SORT GENERATES PROPOSITIONS WITH TRUTH VALUES, WHILE THE OTHER YIELDS CONCEPTUAL EXPRESSIONS OR COMPLEX CONCEPTS. ON THIS BASIS, STRONG ARGUMENTS ARE DEVELOPED AGAINST ADOPTING THE NON-DISCRIMINATING CONNECTOR DEFINITIONS IMPLICIT IN WITTGENSTEINIAN TRUTH-VALUE TABLES. SPECIAL CONSIDERATION IS GIVEN TO MATHEMATICAL CONNECTORS SO AS TO ILLUMINATE THE FORMATION OF CONCEPTS IN THE NATURAL SCIENCES. TO SHOW WHAT THE PYRAMIDAL METHOD CAN CONTRIBUTE TO SCIENCE, A PYRAMID OF THE NUMBER CONCEPTS PREVALENT IN MATHEMATICS IS CONSTRUCTED. THE BOOK ALSO COUNTERS THE LOGICAL DOGMA OF ‘FALSE’ CONTRADICTORY PROPOSITIONS AND SHEDS NEW LIGHT ON THE LOGICAL CHARACTERISTICS OF PROBABLE PROPOSITIONS, AS WELL AS ON SYLLOGISTIC AND OTHER INFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	511 - General principles of mathematics
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dewey-sort	3511.3
dewey-tens	510 - Mathematics
discipline	Mathematik Philosophie
doi_str_mv	10.1007/978-94-007-5301-3
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spelling	Geldsetzer, Lutz 1937-2019 Verfasser (DE-588)119554240 aut Logical thinking in the pyramidal schema of concepts the logical and mathematical elements Lutz Geldsetzer ; Richard L. Schwartz Dordrecht [u.a.] Springer 2013 XLIV, 137 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 s DE-604 Schwartz, Richard L. Verfasser aut Erscheint auch als Online-Ausgabe 10.1007/978-94-007-5301-3 https://doi.org/10.1007/978-94-007-5301-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025666775&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Geldsetzer, Lutz 1937-2019 Schwartz, Richard L. Logical thinking in the pyramidal schema of concepts the logical and mathematical elements Mathematische Logik (DE-588)4037951-6 gnd
subject_GND	(DE-588)4037951-6
title	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements
title_auth	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements
title_exact_search	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements
title_full	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements Lutz Geldsetzer ; Richard L. Schwartz
title_fullStr	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements Lutz Geldsetzer ; Richard L. Schwartz
title_full_unstemmed	Logical thinking in the pyramidal schema of concepts the logical and mathematical elements Lutz Geldsetzer ; Richard L. Schwartz
title_short	Logical thinking in the pyramidal schema of concepts
title_sort	logical thinking in the pyramidal schema of concepts the logical and mathematical elements
title_sub	the logical and mathematical elements
topic	Mathematische Logik (DE-588)4037951-6 gnd
topic_facet	Mathematische Logik
url	https://doi.org/10.1007/978-94-007-5301-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025666775&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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