Dialektičeskie osnovy matematiki:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Russian |
| Published: |
Moskva
Academia
2013
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 797 S. |
| ISBN: | 9785874443979 |
Staff View
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Record in the Search Index
| _version_ | 1804150318282309632 |
|---|---|
| adam_text | ОГЛАВЛЕНИЕ
B.M.
Лосева.
ПРЕДИСЛОВИЕ
............................................................................................................................................................5
А Ф. Лосев.
ДИАЛЕКТИЧЕСКИЕ ОСНОВЫ МАТЕМАТИКИ
............................................................................17
ВВЕДЕНИЕ (общее разделение наук о числе)
..............................................................................2 3
ОБЩАЯ ТЕОРИЯ ЧИСЛА
.................................................................................................................................40
I.
ОТГРАНИЧЕНИЯ (установка числового перво-принципа)
.......................................41
II.
ФУНДАМЕНТАЛЬНЫЙ АНАЛИЗ ЧИСЛА (число как понятие)
................................55
III.
ОСНОВНЫЕ АКСИОМЫ ЧИСЛА (число как суждение)
..........................................117
A) Общая теория
.......................................................................................................................................118
B) Система
........................................................................................................................................................130
a) Аксиома числового перво-принципа
.......................................................................130
b)
Аксиомы едино-раздельности числа (или его идеальной
структуры)
.................................................................................................................................................142
c) Аксиома становления числа (или его непрерывности)
........................235
d)
Аксиома ставшего (или конгруэнтности)
............................................................277
e) Аксиома выражения (или выразительной измеримости)
..................306
f)
Общее заключение
......................................................................................................................391
IV.
ФУНКЦИЯ И СОСЕДНИЕ КАТЕГОРИИ
(число как суждение, умозаключение, доказательство и выражение)
............399
V.
ПЕРЕХОД К СПЕЦИАЛЬНОЙ ТЕОРИИ ЧИСЛА
................................................................413
1.
Сущность (арифметика, алгебра, алгебраический анализ)
.......................435
I.
Натуральный ряд (бытие сущности числа)
.............................................................438
II.
Типы чисел (инобытие сущности числа)
................................................................455
III.
Арифметические действия (становление сущности числа)
................664
Γν .
Комбинаторно-матричное исчисление (ставшая сущность
числа)
................................................................................................................................................................700
V.
Учение о композициях (выраженная сущность числа)
.............................724
Послесловие
В. П. Троицкий. Метаматематика Алексея Лосева
..................................................................761
Комментарии
...........................................................................................................................................................789
Указатель имен
.......................................................................................................................................................795
797
|
| any_adam_object | 1 |
| author | Losev, Aleksej Fedorovič 1893-1988 |
| author_GND | (DE-588)118997211 |
| author_facet | Losev, Aleksej Fedorovič 1893-1988 |
| author_role | aut |
| author_sort | Losev, Aleksej Fedorovič 1893-1988 |
| author_variant | a f l af afl |
| building | Verbundindex |
| bvnumber | BV040994208 |
| classification_rvk | KH 1050 SK 130 |
| ctrlnum | (OCoLC)847068197 (DE-599)HBZHT017551454 |
| discipline | Mathematik Slavistik |
| format | Book |
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| id | DE-604.BV040994208 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:37:01Z |
| institution | BVB |
| isbn | 9785874443979 |
| language | Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025971942 |
| oclc_num | 847068197 |
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| owner_facet | DE-355 DE-BY-UBR |
| physical | 797 S. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Academia |
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| spelling | Losev, Aleksej Fedorovič 1893-1988 Verfasser (DE-588)118997211 aut Dialektičeskie osnovy matematiki Aleksej, Fedorovič Losev Moskva Academia 2013 797 S. txt rdacontent n rdamedia nc rdacarrier In kyrill. Schrift, russ. Metamathematik (DE-588)4074759-1 gnd rswk-swf Metamathematik (DE-588)4074759-1 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025971942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Losev, Aleksej Fedorovič 1893-1988 Dialektičeskie osnovy matematiki Metamathematik (DE-588)4074759-1 gnd |
| subject_GND | (DE-588)4074759-1 |
| title | Dialektičeskie osnovy matematiki |
| title_auth | Dialektičeskie osnovy matematiki |
| title_exact_search | Dialektičeskie osnovy matematiki |
| title_full | Dialektičeskie osnovy matematiki Aleksej, Fedorovič Losev |
| title_fullStr | Dialektičeskie osnovy matematiki Aleksej, Fedorovič Losev |
| title_full_unstemmed | Dialektičeskie osnovy matematiki Aleksej, Fedorovič Losev |
| title_short | Dialektičeskie osnovy matematiki |
| title_sort | dialekticeskie osnovy matematiki |
| topic | Metamathematik (DE-588)4074759-1 gnd |
| topic_facet | Metamathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025971942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT losevaleksejfedorovic dialekticeskieosnovymatematiki |