Il computer di Kant: struttura della matematica e della logica moderne
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | Italian |
Veröffentlicht: |
@2015
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Schriftenreihe: | La scienza nuova
163 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | Immanuel Kant (1724-1804). - L. Borzacchini teaches at the University of Bari. - Includes bibliographical references (pages 567-578) and index |
Beschreibung: | 585 Seiten Illustrationen 22 cm |
ISBN: | 9788822002631 |
Internformat
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245 | 1 | 0 | |a Il computer di Kant |b struttura della matematica e della logica moderne |c Luigi Borzacchini ; prefazione di Gabriele Lolli |
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490 | 1 | |a La scienza nuova |v 163 | |
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Datensatz im Suchindex
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adam_text |
INDICE
PREFAZIONE
DI GABRIELE LOLLI 7
INTRODUZIONE 13
1. I CARATTERI DELLA NUOVA SCIENZA 23
IL CONTINUO 29
LA MECCANICA E LA FORMA LOGICA 34
L'ALGEBRA E LA FORMA SIMBOLICA 55
LA SCIENZA E IL METODO 69
2. LEIBNIZ E IL REGNO DEI SEGNI 83
MATEMATICA E LOGICA 85
LA LOGICA DI FORT ROYAL 91
LEIBNIZ: LOGICA E METAFISICA 95
LEIBNIZ: LOGICA E LINGUAGGIO 104
LEIBNIZ: LE RELAZIONI 114
I SEGNI E L'ARS COMBINATORIA 118
LEIBNIZ: LO SPAZIO E IL CONTINUO 127
LEIBNIZ: LA MATEMATICA 138
3. LA RIVOLUZIONE SCIENTIFICA E IL CALCOLO 147
GLI INFINITESIMI 150
II CALCOLO IN NEWTON 1 62
FILOSOFIA NATURALE E MATEMATICA IN NEWTON
IL FONDAMENTO DEL CALCOLO IN LEIBNIZ
FISICA, MATEMATICA E METAFISICA
174
186
198
4
.
IL SETTECENTO: LA FISICA-MATEMATICA 209
IL FONDAMENTO DELL'ANALISI 211
LA MECCANICA
219
LA CAUSALITA DINAMICA, POLIFONICA E SINCRONICA
232
FUNZIONI E CURVE, EQUAZIONI DIFFERENZIALI
237
CALCOLO DELLE VARIAZIONI
244
LAGRANGE
249
5
.
L'INTERLUDIO DEL SETTECENTO 257
LE ALTRE MATEMATICHE
258
L'ARITMETICA
262
LA FILOSOFIA DELLA MATEMATICA IN FRANCIA
271
L'EMPIRISMO E LA MATEMATICA INGLESE
276
FILOSOFIA E MATEMATICA IN GERMANIA E IN ITALIA
284
LA METAFISICA E IL RUOLO DEGLI ASSIOMI
289
6. KANT E LA MATEMATICA 299
IL PROBLEMA KANTIANO
302
LA SOLUZIONE KANTIANA
308
LA MATEMATICA
320
LA LOGICA IN KANT
327
GEOMETRIA E ARITMETICA
338
RAPPRESENTAZIONE E ANTROPOLOGIA
359
7
.
LA PRIMA META DELL'OTTOCENTO 367
SEMANTICA E SINTASSI 374
GAUSS 379
LA GEOMETRIA PROIETTIVA 386
L'ANALISI E IL CONCETTO DI FUNZIONE 393
BERNHARD BOLZANO 405
L'ALGEBRA 417
8. LA NASCITA DELLA MATEMATICA MODERNA 431
GEOMETRIA E INTUIZIONE, INSIEMI E ALGEBRA 433
IL NUMERO REALE 440
LA LOGICA ALGEBRICA 445
ASSIOMATIZZAZIONE 461
L'ARITMETIZZAZIONE DELL'ANALISI 465
LE FUNZIONI DI VARIABILE COMPLESSA 470
LA NUOVA GEOMETRIA 474
TOPOLOGIA 485
9
.
L'INFINITO E LA TEORIA DEGLI INSIEMI 489
DA DEDEKIND A CANTOR 491
CANTORI GLI INSIEMI E L'INFINITO 498
CARDINALI E ORDINALI. L'IPOTESI DEL CONTINUO 503
10. FREGE E LA LOGICA MATEMATICA 515
LA LOGICA E LA SCIENZA 51 6
IL PARADIGMA SINTATTICO 520
LA LOGICA DI GOTTLOB FREGE 530
FREGE E LA MATEMATICA 535
IL NUMERO 546
CONCLUSIONI (O NO?) 561
BIBLIOGRAFIA 567
INDICE DEI NOMI 579 |
any_adam_object | 1 |
author | Borzacchini, Luigi |
author_GND | (DE-588)120049816X |
author_facet | Borzacchini, Luigi |
author_role | aut |
author_sort | Borzacchini, Luigi |
author_variant | l b lb |
building | Verbundindex |
bvnumber | BV044245476 |
callnumber-first | Q - Science |
callnumber-label | QA |
callnumber-raw | QA |
callnumber-search | QA |
callnumber-sort | QA |
callnumber-subject | QA - Mathematics |
classification_rvk | CC 8700 |
ctrlnum | (OCoLC)920713279 (DE-599)BSZ443027226 |
dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Philosophie |
era | Geschichte 1700-1900 gnd |
era_facet | Geschichte 1700-1900 |
format | Book |
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id | DE-604.BV044245476 |
illustrated | Illustrated |
indexdate | 2024-08-21T00:44:26Z |
institution | BVB |
isbn | 9788822002631 |
language | Italian |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029650687 |
oclc_num | 920713279 |
open_access_boolean | |
owner | DE-210 |
owner_facet | DE-210 |
physical | 585 Seiten Illustrationen 22 cm |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
record_format | marc |
series | La scienza nuova |
series2 | La scienza nuova |
spelling | Borzacchini, Luigi Verfasser (DE-588)120049816X aut Il computer di Kant struttura della matematica e della logica moderne Luigi Borzacchini ; prefazione di Gabriele Lolli Bari Edizioni Dedalo [2015] @2015 585 Seiten Illustrationen 22 cm txt rdacontent n rdamedia nc rdacarrier La scienza nuova 163 Immanuel Kant (1724-1804). - L. Borzacchini teaches at the University of Bari. - Includes bibliographical references (pages 567-578) and index Geschichte 1700-1900 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Informatik (DE-588)4026894-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Logik (DE-588)4036202-4 s Informatik (DE-588)4026894-9 s Philosophie (DE-588)4045791-6 s Geschichte 1700-1900 z DE-604 La scienza nuova 163 (DE-604)BV002797010 163 DE-576;DE-14 application/pdf http://swbplus.bsz-bw.de/bsz443027226inh.htm 20150911132752 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029650687&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Borzacchini, Luigi Il computer di Kant struttura della matematica e della logica moderne La scienza nuova Logik (DE-588)4036202-4 gnd Informatik (DE-588)4026894-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
subject_GND | (DE-588)4036202-4 (DE-588)4026894-9 (DE-588)4045791-6 (DE-588)4037944-9 |
title | Il computer di Kant struttura della matematica e della logica moderne |
title_auth | Il computer di Kant struttura della matematica e della logica moderne |
title_exact_search | Il computer di Kant struttura della matematica e della logica moderne |
title_full | Il computer di Kant struttura della matematica e della logica moderne Luigi Borzacchini ; prefazione di Gabriele Lolli |
title_fullStr | Il computer di Kant struttura della matematica e della logica moderne Luigi Borzacchini ; prefazione di Gabriele Lolli |
title_full_unstemmed | Il computer di Kant struttura della matematica e della logica moderne Luigi Borzacchini ; prefazione di Gabriele Lolli |
title_short | Il computer di Kant |
title_sort | il computer di kant struttura della matematica e della logica moderne |
title_sub | struttura della matematica e della logica moderne |
topic | Logik (DE-588)4036202-4 gnd Informatik (DE-588)4026894-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
topic_facet | Logik Informatik Philosophie Mathematik |
url | http://swbplus.bsz-bw.de/bsz443027226inh.htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029650687&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV002797010 |
work_keys_str_mv | AT borzacchiniluigi ilcomputerdikantstrutturadellamatematicaedellalogicamoderne |
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