sorites

sorites
soritical /saw rit"i keuhl, soh-/, soritic, adj.
/saw ruy"teez, soh-/, n. Logic.
a form of argument having several premises and one conclusion, capable of being resolved into a chain of syllogisms, the conclusion of each of which is a premise of the next.
[1545-55; < L sorites < Gk soreítes lit., heaped, piled up, deriv. of sorós a heap]

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In philosophy, a chain of successive syllogisms in the first figure so related that either the conclusion of each is the minor premise of the next or the conclusion of each is the major premise of the next.

If the conclusions of all the successive syllogisms (except the last) are suppressed and only the remaining premises and the final conclusion are stated, the resulting argument is a valid inference from the stated premises. (For example: Some enthusiasts show poor judgment; all who show poor judgment make frequent mistakes; none who makes frequent mistakes deserves implicit trust; therefore, some enthusiasts do not deserve implicit trust.) In general, there may be n + 1 premises, and analysis then yields a chain of n successive syllogisms.

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logic
      in syllogistic, or traditional, logic, a chain of successive syllogisms—or units of argument that pass from two premises (a major and then a minor) to a conclusion—in the first figure (i.e., with the middle, or repeated, term as the subject of the major and the predicate of the minor premise)—so related that either the conclusion of each (except the last) is the minor premise of the next or the conclusion of each (except the last) is the major premise of the next. If, then, the conclusions of all of the successive syllogisms (except the last) are suppressed and only the remaining premises and the final conclusion are stated, the resulting argument is a valid inference from the stated premises. For example:

Some enthusiasts show poor judgment.
All who show poor judgment make frequent
mistakes.
None who makes frequent mistakes deserves
implicit trust.
Therefore, some enthusiasts do not deserve
implicit trust.

      In general, there may be n + 1 premises, and analysis then yields a chain of n successive syllogisms.

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  • Sorites — So*ri tes, n. [L., from Gr. swrei ths (sc. syllogismo s), properly, heaped up (hence, a heap of syllogisms), fr. swro s a heap.] (Logic) An abridged form of stating of syllogisms in a series of propositions so arranged that the predicate of each… …   The Collaborative International Dictionary of English

  • Sorites — may refer to:*Polysyllogism, a string of syllogisms *Sorites paradox, a special case of polysyllogism also referred to as the paradox of the heap …   Wikipedia

  • Sorites —   [griechisch] der, / , Logik: 1) Haufenschluss: ursprünglich ein Trugschluss folgender Art: Ein Getreidekorn bildet keinen Haufen. Wenn ein (n) Korn keinen Haufen bildet, so bilden auch n + 1 Körner keinen Haufen (usw.). Also bilden auch… …   Universal-Lexikon

  • sorites — (Del lat. sorītes, y este del gr. σωρίτης, de σωρεύειν, amontonar). m. Fil. Raciocinio compuesto de muchas proposiciones encadenadas, de modo que el predicado de la antecedente pasa a ser sujeto de la siguiente, hasta que en la conclusión se une… …   Diccionario de la lengua española

  • sorites — [sō rīt′ēz] n. pl. sorites [L < Gr sōreitēs (syllogismos), heaped up (syllogism) < sōros, a heap: see SOMA1] Logic a series of premises followed by a conclusion, arranged so that the predicate of the first premise is the subject of the next …   English World dictionary

  • Sorītes — (gr.), 1) so v.w. Acervus 2); 2) Kettenschluß, Schluß, der aus mehrern enthymematisch abgekürzten u. so mit einander verbundenen Schlüssen besteht; daß sie alle einen gemeinschaftlichen Schlußsatz enthalten. A) Von den kategorischen Soriten sind… …   Pierer's Universal-Lexikon

  • Sorītes — (griech., Kettenschluß), ein aus mehreren Schlüssen zusammengesetzter Schluß. der dadurch entsteht, daß zwei oder mehr Schlüsse enthymematisch, d. h. durch Hinweglassung entweder des Ober (Aristotelischer S.) oder des Untersatzes (Goclenischer… …   Meyers Großes Konversations-Lexikon

  • Sorites — Sorītes (grch.), Kettenschluß, verkürzte Schlußreihe in Form eines einzigen Schlusses, bei dem die Ober und Untersätze der einzelnen Schlüsse weggelassen sind …   Kleines Konversations-Lexikon

  • Sorites — Sorites, griech., Kettenschluß, in der formalen Logik ein unvollständig zusammengesetzter Schluß, näher ein aus Enthymemen (s. Enthymema) bestehender Vielschluß, wo die Enthymeme in der Art miteinander verbunden sind, daß aus allen nur eine… …   Herders Conversations-Lexikon

  • sorites — s. m. 2 núm. [Lógica] Argumento composto de várias proposições encadeadas entre si, de modo que o atributo da primeira se torna sujeito da segunda, o atributo da segunda sujeito da terceira, e assim até à última que toma por sujeito o sujeito da… …   Dicionário da Língua Portuguesa

  • sorites — (Del lat. sorites < gr. soreites .) ► sustantivo masculino LÓGICA Argumentación compuesta de una serie de proposiciones encadenadas de forma que el predicado de cada una es también sujeto de la siguiente, hasta que al final se une el sujeto de …   Enciclopedia Universal

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