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Аналитики. Первая и Вторая

Автор Аристотель

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Язык оригиналаel

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Жанры

социальная философия античная литература

Темы

логикасиллогизмтеория доказательстваАристотельаналитикафилософияпервый аналитиквторой аналитикпереводгреция

Описание

Книга Аристотеля посвящена систематическому изложению логики, начиная с определения ключевых понятий и правил построения силлогизмов, и заканчивая анализом модальности, преобразований, ошибок и методов доказательства. Автор рассматривает как классические, так и более сложные формы аргументации, подчёркивая различие между научным знанием и мнением, а также роль причинно-следственных связей в логике.

Главный конфликт / проблема

Как правильно строить и анализировать силлогизмы, учитывая модальность, преобразования и ошибки, чтобы достичь достоверных выводов.

Ключевые идеи

Определение посылки, термина и силлогизма как фундаментальных элементов логики.
Различие между общими, частными и неопределёнными суждениями и их роль в построении силлогизмов.
Три фигуры силлогизма и условия их совершения.
Модальность суждений о присущем, необходимо присущем и возможно присущем.
Правила обращения суждений и их влияние на выводы.
Утверждение о необходимо присущем возможно только при определённом сочетании положительных и отрицательных посылок.
Отрицательные суждения о возможно присущем не обратимы, что ограничивает построение силлогизмов.
Вторая фигура почти исключает возможность получения заключения о необходимо присущем, если обе посылки относятся к возможно присущему.
Преобразование силлогизмов между фигурами возможно только при определённых условиях обратимости посылок.
Отрицательные и частные суждения требуют особого подхода к доказательству и превращению.
Доказательство по кругу возможно лишь при взаимной обратимости терминов.
Переворот посылки с меньшим крайним термином служит ключом к переходу между фигурами.

Вывод

Книга систематизирует основы логики, показывая, как строгие правила и методы доказательства позволяют избежать ошибок и достичь научного знания.

Кому полезна

Студенты философии и логики
Учителя и преподаватели
Логики и критики
Любители логики и аргументации

Главные темы

Логика и силлогизмы
Модальность и доказательство
Энтимема и аргументация
Научное знание и мнение
Причинно-следственные связи

Персонажи

Питтак — Человек, чья честность используется как пример для построения энтимемы.
виноградная лоза — Используется как объект, у которого есть широкие листья и который теряет их, демонстрируя связь причины и следствия.

Цитаты

«Посылка есть высказывание, утверждающее или отрицающее что-нибудь о чем-нибудь.»
«Силлогизм же есть высказывание, в котором при утверждении чего-либо из него необходимо вытекает нечто отличное от утвержденного и именно в силу того, что это есть.»
Если А необходимо присуще всем В, а В — некоторым Б, то и А необходимо присуще некоторым Б.
Если Б возможно присуще всем В, а А — всем Б, то опять-таки получится тот же самый силлогизм.
«Если А не присуще ни одному Б, а Б присуще всем В, то А не будет присуще ни одному В.»
«Доказательство по кругу, или доказательство (двух положений) одного из другого, состоит в том, что посредством заключения и одной (посылки), подвергнутой обращению в отношении своего сказуемого, выводится другая посылка, взятая в другом силлогизме.»
«В третьей фигуре, если заключение подвергается превращению в противное (суждение), то ни одна из посылок любого силлогизма не устраняется; если же в противоположное (суждение), то устраняются обе посылки и во всех (видах) силлогизмов.»
«Доказательство посредством приведения к невозможному отличается от прямого тем, что (в нем) принимается то, что хотят опровергнуть, и что оно ведет к очевидно ложному.»
Энтимема есть поэтому силлогизм от вероятного или от признака.
Если Питтак честен, то из этого ещё не следует с необходимостью, что и другие мудрецы честны.

Сводка по автору из Wikidata

-038–-032. Ἀριστοτέλης. древнегреческий философ, ученик Платона

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1046

То, что лишается тепла (Б), замерзает (А). Вода (В) лишается тепла (Б). Вода (В) замерзает (А).

1047

В котором средний термин обозначает не причину, а действие.

1048

Можно умозаключать так: дом построен, следовательно, был заложен его фундамент. Но нельзя умозаключать: фундамент заложен, следовательно, был построен дом.

1049

Имеется в виду время, протекающее между причиной и действием или основанием и следствием, поскольку у Аристотеля не было еще проведено точного разграничения между реальным отношением (причинность) и логическим (достаточное основание).

1050

По мнению Аристотеля, про действие, хотя оно и существует, неправильно сказать, что оно есть необходимое действие, происходящее от причины, которая ему предшествует, если между ними имеется промежуток времени, то-есть действие и причина не одновременны.

1051

Смысл этого места, по-видимому, следующий: по отношению к промежутку времени между будущей причиной и будущим действием неправильно сказать, что это действие есть необходимое будущее действие этой будущей причины.

1052

Отношение непрерывности между вещами, говорит Аристотель, состоит в том, что если одна вещь возникла, то возникает и другая.

1053

См. Аристотель, Физика, VI.

1054

Когда средний термин обозначает не причину, а действие.

1055

Если фундамент заложен (В), то должны были быть сложены камни (А). Если дом построен (Д), то должен был быть заложен фундамент (В). Если дом построен (Д), то должны были быть сложены камни (А).

1056

Если будет заложен фундамент (В), то будут сложены камни (А). Если будет построен дом (Д), то будет заложен фундамент (В). Если будет построен дом (Д), то (сначала) будут сложены камни (А).

1057

См. «Первую аналитику», кн. II, гл. 5 и сл.

1058

Заключения могут стать посылками, и наоборот.

1059

Все свойства вещи, взятые вместе.

1060

Единицу, как видно из данного места, Аристотель не относит к числам; числа, по его мнению, начинаются лишь с двойки. Вот почему он говорит о тройке, что она не слагается из других чисел.

1061

Первичное.

1062

Отдельных.

1063

Все свойства вещи, взятые вместе.

1064

См. главу 5 этой книги и «Первую аналитику», кн. I, гл. 31.

1065

Род, определение которого дается делением.

1066

Не все, что относится к родовому понятию.

1067

Родовое.

1068

Имеется в виду Спевсипп, преемник Платона в Академии (395–334 до н.э.).

1069

Все, что относится к определению предмета.

1070

Данного рода.

1071

Единичного.

1072

Имеется в виду не единичная вещь, а отдельные виды вещей.

1073

Или единичные вещи, не отличающиеся между собой по виду, или виды, не отличающиеся между собой по роду.

1074

Под проблемами подразумеваются здесь спорные вопросы, логические задачи.

1075

Виду данного рода.

1076

Присуще видам данного рода.

1077

Каждое живое существо (А) способно ощущать (Б). Каждая лошадь, каждая овца, каждый мул (ВДЕ) есть живое существо (А). Каждая лошадь, каждая овца, каждый мул (ВДЕ) способны ощущать (Б).

1078

В и Е.

1079

Данного рода.

1080

Каракатица, морское животное из рода мягкотелых, во внутренностях которого содержится вещество, идущее на приготовление темно коричневой краски под тем же названием сепии.

1081

Один из древнегреческих комментаторов Аристотеля, Филопон, приводит здесь следующие примеры: почему зимою пищеварение происходит лучше? Почему дыхание во время сна более сильное? Почему под землей теплее зимой? Все это объясняется внутренним противодействием тепла. Таким образом, все эти проблемы имеют одну и ту же причину (один и тот же средний термин).

1082

а. Когда более ветрено, Нил течет более бурно. Конец месяца бывает более ветреным. К концу месяца Нил течет более бурно.

б. Когда луна убывает, ветер усиливается. К концу месяца луна убывает. Конец месяца бывает более ветреным.

1083

Действие.

1084

То, что земля находится между солнцем и луной.

1085

Затмение.

1086

а. Кто поступает справедливо (Б), достоин похвалы (А). Кто справедлив (Д), поступает справедливо (Б). Кто справедлив (Д), достоин похвалы (А).

б. Кто поступает щедро (В), достоин похвалы (А). Щедрый человек (Е) поступает щедро (В). Щедрый человек (О) достоин похвалы (А).

Здесь сказуемое заключения (достоин похвалы) имеет две причины: для справедливого (Д) причиной похвалы (А) будет справедливость его поступков (Б), для щедрого (Е) – его щедрость (В).

1087

То-есть, приписывается ли средний термин (причина) всему меньшему термину.

1088

Относится ли больший термин (действие) ко всем случаям.

1089

Определенному роду.

1090

Так как в доказательстве, касающемся сущности предмета, средний термин является определением большего термина и так как каждый предмет должен иметь только одно определение (ибо он имеет одну только сущность), то средний термин (причина) может быть только один.

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Автор рассматривает как классические, так и более сложные формы аргументации, подчёркивая различие между научным знанием и мнением, а также роль причинно-следственных связей в логике."},{"key":"conflict","title":"Главный конфликт / проблема","body":"Как правильно строить и анализировать силлогизмы, учитывая модальность, преобразования и ошибки, чтобы достичь достоверных выводов."},{"key":"keyIdeas","title":"Ключевые идеи","body":["Определение посылки, термина и силлогизма как фундаментальных элементов логики.","Различие между общими, частными и неопределёнными суждениями и их роль в построении силлогизмов.","Три фигуры силлогизма и условия их совершения.","Модальность суждений о присущем, необходимо присущем и возможно присущем.","Правила обращения суждений и их влияние на выводы.","Утверждение о необходимо присущем возможно только при определённом сочетании положительных и отрицательных посылок.","Отрицательные суждения о возможно присущем не обратимы, что ограничивает построение силлогизмов.","Вторая фигура почти исключает возможность получения заключения о необходимо присущем, если обе посылки относятся к возможно присущему.","Преобразование силлогизмов между фигурами возможно только при определённых условиях обратимости посылок.","Отрицательные и частные суждения требуют особого подхода к доказательству и превращению.","Доказательство по кругу возможно лишь при взаимной обратимости терминов.","Переворот посылки с меньшим крайним термином служит ключом к переходу между фигурами."]},{"key":"conclusion","title":"Вывод","body":"Книга систематизирует основы логики, показывая, как строгие правила и методы доказательства позволяют избежать ошибок и достичь научного знания."},{"key":"audience","title":"Кому полезна","body":["Студенты философии и логики","Учителя и преподаватели","Логики и критики","Любители логики и аргументации"]},{"key":"topics","title":"Главные темы","body":["Логика и силлогизмы","Модальность и доказательство","Энтимема и аргументация","Научное знание и мнение","Причинно-следственные связи"]},{"key":"characters","title":"Персонажи","body":["Питтак — Человек, чья честность используется как пример для построения энтимемы.","виноградная лоза — Используется как объект, у которого есть широкие листья и который теряет их, демонстрируя связь причины и следствия."]},{"key":"quotes","title":"Цитаты","body":["«Посылка есть высказывание, утверждающее или отрицающее что-нибудь о чем-нибудь.»","«Силлогизм же есть высказывание, в котором при утверждении чего-либо из него необходимо вытекает нечто отличное от утвержденного и именно в силу того, что это есть.»","Если А необходимо присуще всем В, а В — некоторым Б, то и А необходимо присуще некоторым Б.","Если Б возможно присуще всем В, а А — всем Б, то опять-таки получится тот же самый силлогизм.","«Если А не присуще ни одному Б, а Б присуще всем В, то А не будет присуще ни одному В.»","«Доказательство по кругу, или доказательство (двух положений) одного из другого, состоит в том, что посредством заключения и одной (посылки), подвергнутой обращению в отношении своего сказуемого, выводится другая посылка, взятая в другом силлогизме.»","«В третьей фигуре, если заключение подвергается превращению в противное (суждение), то ни одна из посылок любого силлогизма не устраняется; если же в противоположное (суждение), то устраняются обе посылки и во всех (видах) силлогизмов.»","«Доказательство посредством приведения к невозможному отличается от прямого тем, что (в нем) принимается то, что хотят опровергнуть, и что оно ведет к очевидно ложному.»","Энтимема есть поэтому силлогизм от вероятного или от признака.","Если Питтак честен, то из этого ещё не следует с необходимостью, что и другие мудрецы честны."]}],"authorSummary":{"key":"authorSummary","title":"Сводка по автору из Wikidata","body":"-038–-032. Ἀριστοτέλης. древнегреческий философ, ученик Платона"},"hasArtifacts":true,"canReadInApp":true,"readUrl":"https://web.bookra.app/?startapp=r_803434","artifactsUrl":"https://web.bookra.app/?startapp=b_803434","readCtaLabel":"Читать бесплатно","artifactsCtaLabel":"AI-разбор","appReadLinks":{"tg":"https://t.me/bookra_lib_bot/BookRa?startapp=r_803434","vk":"https://vk.com/app54470698#startapp=r_803434","max":"https://max.ru/id7751370047_bot?startapp=r_803434","web":"https://web.bookra.app/?startapp=r_803434"},"appAnalysisLinks":{"tg":"https://t.me/bookra_lib_bot/BookRa?startapp=b_803434","vk":"https://vk.com/app54470698#startapp=b_803434","max":"https://max.ru/id7751370047_bot?startapp=b_803434","web":"https://web.bookra.app/?startapp=b_803434"},"guestReaderUrl":"/books/0bqW57Lw?page=125#reader-content","authorCtaLabel":"Все книги автора","authorProtectedUrl":"/author/76572bf3-2a93-102a-9ac3-800cba805322","readersCount":0,"adultLabel":"0+","yearLabel":null,"datePublished":null,"publisherLabel":null,"isbn":null,"oclc":null,"lccn":null,"partnerUrl":null,"accessNote":"Полный текст книги и AI-разбор откроются на защищенных страницах BookRa после входа."},"reader":{"page":125,"totalPages":126,"hasPrev":true,"hasNext":true,"prevPageUrl":"/books/0bqW57Lw?page=124#reader-content","nextPageUrl":"/books/0bqW57Lw?page=126#reader-content","progressLabel":"Страница 125 из 126","sections":[{"id":"id463:0","kind":"heading","text":"1046"},{"id":"id463:1","kind":"paragraph","text":"То, что лишается тепла (Б), замерзает (А). Вода (В) лишается тепла (Б). Вода (В) замерзает (А)."},{"id":"id462:0","kind":"heading","text":"1047"},{"id":"id462:1","kind":"paragraph","text":"В котором средний термин обозначает не причину, а действие."},{"id":"id461:0","kind":"heading","text":"1048"},{"id":"id461:1","kind":"paragraph","text":"Можно умозаключать так: дом построен, следовательно, был заложен его фундамент. Но нельзя умозаключать: фундамент заложен, следовательно, был построен дом."},{"id":"id460:0","kind":"heading","text":"1049"},{"id":"id460:1","kind":"paragraph","text":"Имеется в виду время, протекающее между причиной и действием или основанием и следствием, поскольку у Аристотеля не было еще проведено точного разграничения между реальным отношением (причинность) и логическим (достаточное основание)."},{"id":"id459:0","kind":"heading","text":"1050"},{"id":"id459:1","kind":"paragraph","text":"По мнению Аристотеля, про действие, хотя оно и существует, неправильно сказать, что оно есть необходимое действие, происходящее от причины, которая ему предшествует, если между ними имеется промежуток времени, то-есть действие и причина не одновременны."},{"id":"id458:0","kind":"heading","text":"1051"},{"id":"id458:1","kind":"paragraph","text":"Смысл этого места, по-видимому, следующий: по отношению к промежутку времени между будущей причиной и будущим действием неправильно сказать, что это действие есть необходимое будущее действие этой будущей причины."},{"id":"id457:0","kind":"heading","text":"1052"},{"id":"id457:1","kind":"paragraph","text":"Отношение непрерывности между вещами, говорит Аристотель, состоит в том, что если одна вещь возникла, то возникает и другая."},{"id":"id456:0","kind":"heading","text":"1053"},{"id":"id456:1","kind":"paragraph","text":"См. Аристотель, Физика, VI."},{"id":"id455:0","kind":"heading","text":"1054"},{"id":"id455:1","kind":"paragraph","text":"Когда средний термин обозначает не причину, а действие."},{"id":"id454:0","kind":"heading","text":"1055"},{"id":"id454:1","kind":"paragraph","text":"Если фундамент заложен (В), то должны были быть сложены камни (А). Если дом построен (Д), то должен был быть заложен фундамент (В). Если дом построен (Д), то должны были быть сложены камни (А)."},{"id":"id453:0","kind":"heading","text":"1056"},{"id":"id453:1","kind":"paragraph","text":"Если будет заложен фундамент (В), то будут сложены камни (А). Если будет построен дом (Д), то будет заложен фундамент (В). Если будет построен дом (Д), то (сначала) будут сложены камни (А)."},{"id":"id452:0","kind":"heading","text":"1057"},{"id":"id452:1","kind":"paragraph","text":"См. «Первую аналитику», кн. II, гл. 5 и сл."},{"id":"id451:0","kind":"heading","text":"1058"},{"id":"id451:1","kind":"paragraph","text":"Заключения могут стать посылками, и наоборот."},{"id":"id450:0","kind":"heading","text":"1059"},{"id":"id450:1","kind":"paragraph","text":"Все свойства вещи, взятые вместе."},{"id":"id449:0","kind":"heading","text":"1060"},{"id":"id449:1","kind":"paragraph","text":"Единицу, как видно из данного места, Аристотель не относит к числам; числа, по его мнению, начинаются лишь с двойки. Вот почему он говорит о тройке, что она не слагается из других чисел."},{"id":"id448:0","kind":"heading","text":"1061"},{"id":"id448:1","kind":"paragraph","text":"Первичное."},{"id":"id447:0","kind":"heading","text":"1062"},{"id":"id447:1","kind":"paragraph","text":"Отдельных."},{"id":"id446:0","kind":"heading","text":"1063"},{"id":"id446:1","kind":"paragraph","text":"Все свойства вещи, взятые вместе."},{"id":"id445:0","kind":"heading","text":"1064"},{"id":"id445:1","kind":"paragraph","text":"См. главу 5 этой книги и «Первую аналитику», кн. I, гл. 31."},{"id":"id444:0","kind":"heading","text":"1065"},{"id":"id444:1","kind":"paragraph","text":"Род, определение которого дается делением."},{"id":"id443:0","kind":"heading","text":"1066"},{"id":"id443:1","kind":"paragraph","text":"Не все, что относится к родовому понятию."},{"id":"id442:0","kind":"heading","text":"1067"},{"id":"id442:1","kind":"paragraph","text":"Родовое."},{"id":"id441:0","kind":"heading","text":"1068"},{"id":"id441:1","kind":"paragraph","text":"Имеется в виду Спевсипп, преемник Платона в Академии (395–334 до н.э.)."},{"id":"id440:0","kind":"heading","text":"1069"},{"id":"id440:1","kind":"paragraph","text":"Все, что относится к определению предмета."},{"id":"id439:0","kind":"heading","text":"1070"},{"id":"id439:1","kind":"paragraph","text":"Данного рода."},{"id":"id438:0","kind":"heading","text":"1071"},{"id":"id438:1","kind":"paragraph","text":"Единичного."},{"id":"id437:0","kind":"heading","text":"1072"},{"id":"id437:1","kind":"paragraph","text":"Имеется в виду не единичная вещь, а отдельные виды вещей."},{"id":"id436:0","kind":"heading","text":"1073"},{"id":"id436:1","kind":"paragraph","text":"Или единичные вещи, не отличающиеся между собой по виду, или виды, не отличающиеся между собой по роду."},{"id":"id435:0","kind":"heading","text":"1074"},{"id":"id435:1","kind":"paragraph","text":"Под проблемами подразумеваются здесь спорные вопросы, логические задачи."},{"id":"id434:0","kind":"heading","text":"1075"},{"id":"id434:1","kind":"paragraph","text":"Виду данного рода."},{"id":"id433:0","kind":"heading","text":"1076"},{"id":"id433:1","kind":"paragraph","text":"Присуще видам данного рода."},{"id":"id432:0","kind":"heading","text":"1077"},{"id":"id432:1","kind":"paragraph","text":"Каждое живое существо (А) способно ощущать (Б). Каждая лошадь, каждая овца, каждый мул (ВДЕ) есть живое существо (А). Каждая лошадь, каждая овца, каждый мул (ВДЕ) способны ощущать (Б)."},{"id":"id431:0","kind":"heading","text":"1078"},{"id":"id431:1","kind":"paragraph","text":"В и Е."},{"id":"id430:0","kind":"heading","text":"1079"},{"id":"id430:1","kind":"paragraph","text":"Данного рода."},{"id":"id429:0","kind":"heading","text":"1080"},{"id":"id429:1","kind":"paragraph","text":"Каракатица, морское животное из рода мягкотелых, во внутренностях которого содержится вещество, идущее на приготовление темно коричневой краски под тем же названием сепии."},{"id":"id428:0","kind":"heading","text":"1081"},{"id":"id428:1","kind":"paragraph","text":"Один из древнегреческих комментаторов Аристотеля, Филопон, приводит здесь следующие примеры: почему зимою пищеварение происходит лучше? Почему дыхание во время сна более сильное? Почему под землей теплее зимой? Все это объясняется внутренним противодействием тепла. Таким образом, все эти проблемы имеют одну и ту же причину (один и тот же средний термин)."},{"id":"id427:0","kind":"heading","text":"1082"},{"id":"id427:1","kind":"paragraph","text":"а. Когда более ветрено, Нил течет более бурно. Конец месяца бывает более ветреным. К концу месяца Нил течет более бурно."},{"id":"id427:2","kind":"paragraph","text":"б. Когда луна убывает, ветер усиливается. К концу месяца луна убывает. Конец месяца бывает более ветреным."},{"id":"id426:0","kind":"heading","text":"1083"},{"id":"id426:1","kind":"paragraph","text":"Действие."},{"id":"id425:0","kind":"heading","text":"1084"},{"id":"id425:1","kind":"paragraph","text":"То, что земля находится между солнцем и луной."},{"id":"id424:0","kind":"heading","text":"1085"},{"id":"id424:1","kind":"paragraph","text":"Затмение."},{"id":"id423:0","kind":"heading","text":"1086"},{"id":"id423:1","kind":"paragraph","text":"а. Кто поступает справедливо (Б), достоин похвалы (А). Кто справедлив (Д), поступает справедливо (Б). Кто справедлив (Д), достоин похвалы (А)."},{"id":"id423:2","kind":"paragraph","text":"б. Кто поступает щедро (В), достоин похвалы (А). Щедрый человек (Е) поступает щедро (В). Щедрый человек (О) достоин похвалы (А)."},{"id":"id423:3","kind":"paragraph","text":"Здесь сказуемое заключения (достоин похвалы) имеет две причины: для справедливого (Д) причиной похвалы (А) будет справедливость его поступков (Б), для щедрого (Е) – его щедрость (В)."},{"id":"id422:0","kind":"heading","text":"1087"},{"id":"id422:1","kind":"paragraph","text":"То-есть, приписывается ли средний термин (причина) всему меньшему термину."},{"id":"id421:0","kind":"heading","text":"1088"},{"id":"id421:1","kind":"paragraph","text":"Относится ли больший термин (действие) ко всем случаям."},{"id":"id420:0","kind":"heading","text":"1089"},{"id":"id420:1","kind":"paragraph","text":"Определенному роду."},{"id":"id419:0","kind":"heading","text":"1090"},{"id":"id419:1","kind":"paragraph","text":"Так как в доказательстве, касающемся сущности предмета, средний термин является определением большего термина и так как каждый предмет должен иметь только одно определение (ибо он имеет одну только сущность), то средний термин (причина) может быть только один."}],"toc":[{"id":"id41242:0:1","label":"Annotation","page":1,"pageUrl":"/books/0bqW57Lw#reader-content"},{"id":"id41241:0:3","label":"Аристотель Аналитики Первая и Вторая","page":3,"pageUrl":"/books/0bqW57Lw?page=3#reader-content"},{"id":"id41240:0:3","label":"ОТ ИЗДАТЕЛЬСТВА","page":3,"pageUrl":"/books/0bqW57Lw?page=3#reader-content"},{"id":"id41239:0:3","label":"ПЕРВАЯ АНАЛИТИКА. 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