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[null,"1.","Record Nr.",null,"UNINA9910485585903321"]
[null,null,"Autore",null,"Acerbi Fabio"]
[null,null,"Titolo",null,"The logical syntax of Greek mathematics / / Fabio Acerbi"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2021]"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"3-030-76959-3"]
[null,null,"Descrizione fisica",null,"1 online resource (401 pages)"]
[null,null,"Collana",null,"Sources and studies in the history of mathematics and physical sciences"]
[null,null,"Disciplina",null,"510.938"]
[null,null,"Soggetti",null,"Mathematics, Greek"]
[{"$nulls":4},"Matemàtica grega"]
[{"$nulls":4},"Història"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- TABLE OF CONTENTS -- LIMINALIA -- 1. THE THREE STYLISTIC CODES OF GREEK MATHEMATICS -- 1.1. THE DEMONSTRATIVE CODE -- 1.2. THE PROCEDURAL CODE -- 1.3. THE ALGORITHMIC CODE -- 1.4. PUNCTUATING GREEK MATHEMATICAL TEXTS -- 1.5. THE ELEMENTS AND ITS LEXICAL CONTENT -- 2. VALIDATION AND TEMPLATES -- 2.1. ARISTOTLE AND GALEN ON LINGUISTIC TEMPLATES -- 2.2. SUBSENTENTIAL VALIDATION: FORMULAIC TEMPLATES -- 2.3. SENTENTIAL VALIDATION: SYNTACTIC TEMPLATES -- 2.4. LARGE-SCALE VALIDATION: ANALYSIS AND SYNTHESIS -- 2.4.1. Geometric analysis and synthesis -- 2.4.2. Validating algorithms and procedures by the \"givens\" -- 3. THE PROBLEM OF MATHEMATICAL GENERALITY -- 3.1. THE PRESENTIAL VALUE OF THE VERB \"TO BE\" IN THE SETTING-OUT -- 3.2. THE FUNCTION OF THE DENOTATIVE LETTERS -- 3.3. THE INDEFINITE STRUCTURE -- 3.4. ONTOLOGICAL COMMITMENT -- 3.5. OVERSYMMETRIZED DIAGRAMS -- 4. THE DEDUCTIVE MACHINE -- 4.1. ENUNCIATION AND CONCLUSION -- 4.2. SUPPOSITIONS AND \"SETTING-OUT\" -- 4.2.1. Determination -- 4.3. THE ROLE OF CONSTRUCTIONS -- 4.4. ANAPHORA -- 4.5. PROOF -- 4.5.1. The logic of relations -- 4.5.2. Metamathematical markers: potential and analogical proofs, references to the obvious, optative mood, personal verb forms -- 4.5.3. Postposed arguments -- 4.5.4. Instantiated and non-instantiated citations of theorems -- 4.5.5. Assumptions and coassumptions -- 5. THE "]
[{"$nulls":4},"LOGICAL SYNTAX -- 5.1. QUANTIFICATION -- IMPLICIT AND EXPLICIT GENERALITY -- 5.1.1. Quantifiers -- 5.1.2. Determiners of arbitrariness -- 5.1.3. Determiners of indefiniteness -- 5.1.4. Generalizing qualifiers -- 5.1.5. The use of the article -- 5.1.6. Ordinals as variables -- 5.1.7. The indefinite conditionals of Stoic logic -- 5.2. MODALS -- 5.2.1. Reductions to the impossible -- 5.2.2. Arguments \"for a contrapositive\" -- 5.3. SENTENTIAL OPERATORS -- 5.3.1. Conditional -- 5.3.2. Paraconditional."]
[{"$nulls":4},"5.3.3. Negation -- 5.3.4. Disjunction -- 5.3.5. Conjunction -- 5.3.6. Syllogistic connectors -- APPENDICES -- APPENDIX A. PROBLEMS IN THE GREEK MATHEMATICAL CORPUS -- APPENDIX B. THEOREMS OF THE DATA THAT HAVE A SYNTHETIC COUNTERPART AND EXTANT SOURCES ON GREEK ANALYSIS AND SYNTHESIS -- APPENDIX C. ONOMASTICON -- BIBLIOGRAPHY -- INDICES -- INDEX NOMINUM -- INDEX FONTIUM -- INDEX LOCORUM -- INDEX RERUM."]