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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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Действие (больший термин) и субъект (подлежащее) действия (меньший термин).
1092
То-есть двусмысленны.
1093
Внешние углы которых равны четырем прямым.
1094
В отношении объема.
1095
Для виноградной лозы и для фигового дерева.
1096
Эти деревья.
1097
Имеют широкие листья.
1098
Сказуемое в отношении своего подлежащего не допускает обращения, когда его объем больше объема подлежащего.
1099
Например, все лошади суть домашние животные, но не все домашние животные суть лошади. Однако все домашние животные суть лошади, коровы, овцы, козы и т.д.
1100
а. Каждое существо, не имеющее желчи (Б), живет долго (А). Каждое четвероногое животное (Д) есть существо, не имеющее желчи (Б). Каждое четвероногое животное (Д) живет долго (А).
б. Каждое животное плотного сложения (В) живет долго (А). Каждая птица (Е) есть животное плотного сложения (В). Каждая птица (Е) живет долго (А).
1101
До неопосредствованной посылки.
1102
Каждое живое существо (Б) есть сущность (А). Каждое двуногое существо (В) есть живое существо (Б). Каждый человек (Д) есть двуногое существо (В). Каждый человек (Д) есть сущность (А).
1103
См. «Вторую аналитику», кн. I, гл. 2.
1104
См. «Вторую аналитику», кн. I, гл. 1.
1105
Познания.
1106
Познания через посредство доказательства.
1107
Постигать общее из единичных чувственных восприятий.
1108
Подобно тому, как ум относится к науке, точно так же, по Аристотелю, относится наука к предмету науки.
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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=126#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":126,"totalPages":126,"hasPrev":true,"hasNext":false,"prevPageUrl":"/books/0bqW57Lw?page=125#reader-content","nextPageUrl":null,"progressLabel":"Страница 126 из 126","sections":[{"id":"id418:0","kind":"heading","text":"1091"},{"id":"id418:1","kind":"paragraph","text":"Действие (больший термин) и субъект (подлежащее) действия (меньший термин)."},{"id":"id417:0","kind":"heading","text":"1092"},{"id":"id417:1","kind":"paragraph","text":"То-есть двусмысленны."},{"id":"id416:0","kind":"heading","text":"1093"},{"id":"id416:1","kind":"paragraph","text":"Внешние углы которых равны четырем прямым."},{"id":"id415:0","kind":"heading","text":"1094"},{"id":"id415:1","kind":"paragraph","text":"В отношении объема."},{"id":"id414:0","kind":"heading","text":"1095"},{"id":"id414:1","kind":"paragraph","text":"Для виноградной лозы и для фигового дерева."},{"id":"id413:0","kind":"heading","text":"1096"},{"id":"id413:1","kind":"paragraph","text":"Эти деревья."},{"id":"id412:0","kind":"heading","text":"1097"},{"id":"id412:1","kind":"paragraph","text":"Имеют широкие листья."},{"id":"id411:0","kind":"heading","text":"1098"},{"id":"id411:1","kind":"paragraph","text":"Сказуемое в отношении своего подлежащего не допускает обращения, когда его объем больше объема подлежащего."},{"id":"id410:0","kind":"heading","text":"1099"},{"id":"id410:1","kind":"paragraph","text":"Например, все лошади суть домашние животные, но не все домашние животные суть лошади. Однако все домашние животные суть лошади, коровы, овцы, козы и т.д."},{"id":"id49:0","kind":"heading","text":"1100"},{"id":"id49:1","kind":"paragraph","text":"а. Каждое существо, не имеющее желчи (Б), живет долго (А). Каждое четвероногое животное (Д) есть существо, не имеющее желчи (Б). Каждое четвероногое животное (Д) живет долго (А)."},{"id":"id49:2","kind":"paragraph","text":"б. Каждое животное плотного сложения (В) живет долго (А). Каждая птица (Е) есть животное плотного сложения (В). Каждая птица (Е) живет долго (А)."},{"id":"id48:0","kind":"heading","text":"1101"},{"id":"id48:1","kind":"paragraph","text":"До неопосредствованной посылки."},{"id":"id47:0","kind":"heading","text":"1102"},{"id":"id47:1","kind":"paragraph","text":"Каждое живое существо (Б) есть сущность (А). Каждое двуногое существо (В) есть живое существо (Б). Каждый человек (Д) есть двуногое существо (В). Каждый человек (Д) есть сущность (А)."},{"id":"id46:0","kind":"heading","text":"1103"},{"id":"id46:1","kind":"paragraph","text":"См. «Вторую аналитику», кн. I, гл. 2."},{"id":"id45:0","kind":"heading","text":"1104"},{"id":"id45:1","kind":"paragraph","text":"См. «Вторую аналитику», кн. I, гл. 1."},{"id":"id44:0","kind":"heading","text":"1105"},{"id":"id44:1","kind":"paragraph","text":"Познания."},{"id":"id43:0","kind":"heading","text":"1106"},{"id":"id43:1","kind":"paragraph","text":"Познания через посредство доказательства."},{"id":"id42:0","kind":"heading","text":"1107"},{"id":"id42:1","kind":"paragraph","text":"Постигать общее из единичных чувственных восприятий."},{"id":"id41:0","kind":"heading","text":"1108"},{"id":"id41:1","kind":"paragraph","text":"Подобно тому, как ум относится к науке, точно так же, по Аристотелю, относится наука к предмету науки."}],"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. КНИГА ПЕРВАЯ","page":3,"pageUrl":"/books/0bqW57Lw?page=3#reader-content"},{"id":"id41238:0:3","label":"ГЛАВА ПЕРВАЯ (Предмет и цель всего сочинения. 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