Logical thinking in the pyramidal schema of concepts: the logical and mathematical elements
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Springer
2013
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| Schlagworte: | |
| Online-Zugang: | Volltext Abstract |
| Beschreibung: | XLIV, 137 S. Ill. |
| ISBN: | 9789400753006 9789400753013 |
| DOI: | 10.1007/978-94-007-5301-3 |
Internformat
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Datensatz im Suchindex
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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.
|
| any_adam_object | 1 |
| author | Geldsetzer, Lutz 1937-2019 Schwartz, Richard L. |
| author_GND | (DE-588)119554240 |
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| author_role | aut aut |
| author_sort | Geldsetzer, Lutz 1937-2019 |
| author_variant | l g lg r l s rl rls |
| building | Verbundindex |
| bvnumber | BV040685936 |
| classification_rvk | CC 2600 SK 130 |
| collection | ZDB-2-SHU ebook |
| ctrlnum | (OCoLC)827450787 (DE-599)BVBBV040685936 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1007/978-94-007-5301-3 |
| format | Book |
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| indexdate | 2024-07-10T00:31:40Z |
| institution | BVB |
| isbn | 9789400753006 9789400753013 |
| language | English |
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| publisher | Springer |
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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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