Definition and construction: Salomon Maimon's philosophy of geometry
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Max-Planck-Inst. für Wissenschaftsgeschichte
2006
|
| Schriftenreihe: | Preprint / Max-Planck-Institut für Wissenschaftsgeschichte
317 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Online-Ausg.: http://www.mpiwg-berlin.mpg.de/Preprints/P317.PDF |
| Beschreibung: | 127 S. graph. Darst. 30 cm |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | MAX*PLANCK-INSTITUT FUER WISSENSCHAFTSGESCHICHTE MAX PLANCK INSTITUTE FOR
THE HISTORY OF SCIENCE 2006 PREPRINT 317 GIDEON FREUDENTHAI DEFINITION
.ND CONETRUCTION S.LOMON M.IMON S PHILOSOPHY OF GEOMETRY DEFINITION AND
CONSTRUCTION SALOMON MAIMON S PHILOSOPHY 01GEOMETRY GIDEON FREUDENTHAI
1. INTRODUCTION 3 1.1. A FAILED PROOF AND A PHILOSOPHICAL CONVERSION 8
1.2. THE VALUE OFMATHEMATICS 13 2. THE STRAIGHT LINE : 15 2.1. SYNTHETIC
JUDGMENTS APRIORI KANTIAN AND ARISTOTELEAN STYLE 15 2.2. MAIMON S PROOF
THAT THE STRAIGHT LINE IS ALSO THE SHORTEST BETWEEN TWO POINTS 23 2.3.
KANT SCRITIQUEAND MAIMON S ANSWER. .30 2.4. DEFINITION, CONSTRUCTION,
PROOFIN EUC1ID AND KANT.. 33 2.5. THE CONSTRUCTION OFTHE STRAIGHT LINE
.37 2.6. THE TURN TO EMPIRCIAL SKEPTICISM (AND RATIONAL DOGMATISM) .39
2.7. SYNTHETIC APRIORI AND PROPRIUM .46 2.8. MAIMON SLAW
OFDETERMINABILITY, STRAIGHT AND CURVED LINES 51 2.9. RESULTS: THE
STRAIGHT LINE 53 3. THE CIRCLE 56 3.1. THE NOMINAL AND REAL DEFINITION
OFTHE CIRC1E 56 3.2. KANT ON THE DEFINITION AND CONSTRUCTION OFTHE
CIRC1E 60 3.3. MAIMON S CRITIQUE OFKANT SCONSTRUCTION OFA CIRC1E.
MAIMON S IDEAS OF THE UNDERSTANDING. 63 1 3.4. CONSTRUETING THE CIRC1E
BY MOTION 64 3.5. RIGOROUS CONSTRUETION: CIRC1E AND POLYGON 65 3.6.
KANT S CRITIQUE OFMAIMON S IDEAS OFTHE UNDERSTANDING 67 3.7. MAIMON S
REBUTTAL OFKANT S ERITIQUE 69 3.8. ROTA ARISTOTELIS. ANTINOMIES 75 3.9.
MAIMON S VIEW OFTHE ANTINOMY 79 4. THE DISTRUST OFLNTUITION 83 4.1.
ASYMPTOTES 83 4.2. A THREE-LATERAL FIGURE HAS THREE ANGLES: HIE VOLO,
HIE IUBEO 86 4.3. HYPOTHETIEAL (NON-EUELIDEAN) GEOMETRY, HYPOTHETIEAL
METAPHYSIES 90 5. MAIMON S CONELUDING REMARK : THE NATURE OFSYNTHETIE
JUDGMENTS APRIORI 94 5.1. PRIMARY AND DERIVATIVE GEOMETRIE PROPOSITIONS
96 5.1.1. GENUINE PRIMARY GEOMETRIEAL PROPOSITIONS 97 5.1.2. PSEUDO
PRIMARY GEOMETRIEAL PROPOSITIONS IOO 5.1.3. , CONVERSION OF PRIMARY
GEOMETRIEAL PROPOSITIONS 102 5.1.4. THE AXIOM OFPARALLELS: A SYNTHETIE
JUDGMENT A PRIORI 105 6. MAIMON SNOTION OF CONSTRUETION AND THE NATURE
OF A PHILOSOPHIEAL SYSTEM 110 7. CONELUSIONS 117 8. APPENDIX: FURTHER
TEXTUAL EVIDENEE THAT MAIMON CHANGED THE BODY OF THE
TRANSEENDENTALPHILOSOPHIE AFTER REEEIVING KANT S LETTER .123
|
| adam_txt |
MAX*PLANCK-INSTITUT FUER WISSENSCHAFTSGESCHICHTE MAX PLANCK INSTITUTE FOR
THE HISTORY OF SCIENCE 2006 PREPRINT 317 GIDEON FREUDENTHAI DEFINITION
.ND CONETRUCTION S.LOMON M.IMON'S PHILOSOPHY OF GEOMETRY DEFINITION AND
CONSTRUCTION SALOMON MAIMON 'S PHILOSOPHY 01GEOMETRY GIDEON FREUDENTHAI
1. INTRODUCTION 3 1.1. A FAILED PROOF AND A PHILOSOPHICAL CONVERSION 8
1.2. THE VALUE OFMATHEMATICS 13 2. THE STRAIGHT LINE : 15 2.1. SYNTHETIC
JUDGMENTS APRIORI KANTIAN AND ARISTOTELEAN STYLE 15 2.2. MAIMON'S PROOF
THAT THE STRAIGHT LINE IS ALSO THE SHORTEST BETWEEN TWO POINTS 23 2.3.
KANT'SCRITIQUEAND MAIMON'S ANSWER. .30 2.4. DEFINITION, CONSTRUCTION,
PROOFIN EUC1ID AND KANT. 33 2.5. THE CONSTRUCTION OFTHE STRAIGHT LINE
.37 2.6. THE TURN TO EMPIRCIAL SKEPTICISM (AND RATIONAL DOGMATISM) .39
2.7. SYNTHETIC APRIORI AND PROPRIUM .46 2.8. MAIMON'SLAW
OFDETERMINABILITY, STRAIGHT AND CURVED LINES 51 2.9. RESULTS: THE
STRAIGHT LINE 53 3. THE CIRCLE 56 3.1. THE NOMINAL AND REAL DEFINITION
OFTHE CIRC1E 56 3.2. KANT ON THE DEFINITION AND CONSTRUCTION OFTHE
CIRC1E 60 3.3. MAIMON'S CRITIQUE OFKANT'SCONSTRUCTION OFA CIRC1E.
MAIMON'S "IDEAS OF THE UNDERSTANDING." 63 1 3.4. CONSTRUETING THE CIRC1E
BY MOTION 64 3.5. RIGOROUS CONSTRUETION: CIRC1E AND POLYGON 65 3.6.
KANT'S CRITIQUE OFMAIMON'S "IDEAS OFTHE UNDERSTANDING" 67 3.7. MAIMON'S
REBUTTAL OFKANT'S ERITIQUE 69 3.8. ROTA ARISTOTELIS. ANTINOMIES 75 3.9.
MAIMON'S VIEW OFTHE ANTINOMY 79 4. THE DISTRUST OFLNTUITION 83 4.1.
ASYMPTOTES 83 4.2. A THREE-LATERAL FIGURE HAS THREE ANGLES: HIE VOLO,
HIE IUBEO 86 4.3. HYPOTHETIEAL (NON-EUELIDEAN) GEOMETRY, HYPOTHETIEAL
METAPHYSIES 90 5. MAIMON'S "CONELUDING REMARK": THE NATURE OFSYNTHETIE
JUDGMENTS APRIORI 94 5.1. PRIMARY AND DERIVATIVE GEOMETRIE PROPOSITIONS
96 5.1.1. GENUINE PRIMARY GEOMETRIEAL PROPOSITIONS 97 5.1.2. PSEUDO
PRIMARY GEOMETRIEAL PROPOSITIONS IOO 5.1.3. , CONVERSION OF PRIMARY
GEOMETRIEAL PROPOSITIONS 102 5.1.4. THE AXIOM OFPARALLELS: A SYNTHETIE
JUDGMENT A PRIORI 105 6. MAIMON'SNOTION OF CONSTRUETION AND THE NATURE
OF A PHILOSOPHIEAL SYSTEM 110 7. CONELUSIONS 117 8. APPENDIX: FURTHER
TEXTUAL EVIDENEE THAT MAIMON CHANGED THE BODY OF THE
TRANSEENDENTALPHILOSOPHIE AFTER REEEIVING KANT'S LETTER .123 |
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| dewey-full | 181.06 |
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| dewey-ones | 181 - Eastern philosophy |
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| index_date | 2024-07-02T16:50:48Z |
| indexdate | 2024-07-09T20:54:09Z |
| institution | BVB |
| language | English |
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| physical | 127 S. graph. Darst. 30 cm |
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| spelling | Freudenthal, Gideon 1947- Verfasser (DE-588)140919120 aut Definition and construction Salomon Maimon's philosophy of geometry Gideon Freudenthal Berlin Max-Planck-Inst. für Wissenschaftsgeschichte 2006 127 S. graph. Darst. 30 cm txt rdacontent n rdamedia nc rdacarrier Preprint / Max-Planck-Institut für Wissenschaftsgeschichte 317 Online-Ausg.: http://www.mpiwg-berlin.mpg.de/Preprints/P317.PDF Maimon, Salomon 1753-1800 (DE-588)11857647X gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Maimon, Salomon 1753-1800 (DE-588)11857647X p Philosophie (DE-588)4045791-6 s Geometrie (DE-588)4020236-7 s DE-604 Max-Planck-Institut für Wissenschaftsgeschichte Preprint 317 (DE-604)BV010030164 317 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015496012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Freudenthal, Gideon 1947- Definition and construction Salomon Maimon's philosophy of geometry Maimon, Salomon 1753-1800 (DE-588)11857647X gnd Geometrie (DE-588)4020236-7 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)11857647X (DE-588)4020236-7 (DE-588)4045791-6 |
| title | Definition and construction Salomon Maimon's philosophy of geometry |
| title_auth | Definition and construction Salomon Maimon's philosophy of geometry |
| title_exact_search | Definition and construction Salomon Maimon's philosophy of geometry |
| title_exact_search_txtP | Definition and construction Salomon Maimon's philosophy of geometry |
| title_full | Definition and construction Salomon Maimon's philosophy of geometry Gideon Freudenthal |
| title_fullStr | Definition and construction Salomon Maimon's philosophy of geometry Gideon Freudenthal |
| title_full_unstemmed | Definition and construction Salomon Maimon's philosophy of geometry Gideon Freudenthal |
| title_short | Definition and construction |
| title_sort | definition and construction salomon maimon s philosophy of geometry |
| title_sub | Salomon Maimon's philosophy of geometry |
| topic | Maimon, Salomon 1753-1800 (DE-588)11857647X gnd Geometrie (DE-588)4020236-7 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Maimon, Salomon 1753-1800 Geometrie Philosophie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015496012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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