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    Rules in Syllogism

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    Bryant Villarin Baldivicio
    The document outlines 19 valid syllogisms in Aristotelian logic. Each syllogism is comprised of a major premise, minor premise, and conclusion. The syllogisms follow one of the 16 valid moods in Aristotelian logic. For example, Barbara's mood is: All S are P, All S are M, Therefore All S are P. Celarent's mood is: No M is P, All S are M, Therefore no S are P. The document provides the names, symbolic notation, and structure for each of the 19 valid syllogisms.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Rules in Syllogism

    Uploaded by

    Bryant Villarin Baldivicio
    33 views5 pages
    The document outlines 19 valid syllogisms in Aristotelian logic. Each syllogism is comprised of a major premise, minor premise, and conclusion. The syllogisms follow one of the 16 valid moods in Aristotelian logic. For example, Barbara's mood is: All S are P, All S are M, Therefore All S are P. Celarent's mood is: No M is P, All S are M, Therefore no S are P. The document provides the names, symbolic notation, and structure for each of the 19 valid syllogisms.

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    Original Title

    Rules in syllogism

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    The document outlines 19 valid syllogisms in Aristotelian logic. Each syllogism is comprised of a major premise, minor premise, and conclusion. The syllogisms follow one of the 16 valid moods in Aristotelian logic. For example, Barbara's mood is: All S are P, All S are M, Therefore All S are P. Celarent's mood is: No M is P, All S are M, Therefore no S are P. The document provides the names, symbolic notation, and structure for each of the 19 valid syllogisms.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    33 views5 pages

    Rules in Syllogism

    Uploaded by

    Bryant Villarin Baldivicio
    The document outlines 19 valid syllogisms in Aristotelian logic. Each syllogism is comprised of a major premise, minor premise, and conclusion. The syllogisms follow one of the 16 valid moods in Aristotelian logic. For example, Barbara's mood is: All S are P, All S are M, Therefore All S are P. Celarent's mood is: No M is P, All S are M, Therefore no S are P. The document provides the names, symbolic notation, and structure for each of the 19 valid syllogisms.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 5

    Barbara (AAA-1) [edit]

       All men are mortal. (MaP)


       All Greeks are men. (SaM)
    ∴ All Greeks are mortal. (SaP)
    Celarent (EAE-1) [edit]
    Similar: Cesare (EAE-2)

       No reptiles have fur. (MeP)


       All snakes are reptiles. (SaM)
    ∴ No snakes have fur. (SeP)
    Darii (AII-1) [edit]
    Similar: Datisi (AII-3)

       All rabbits have fur. (MaP)


       Some pets are rabbits. (SiM)
    ∴ Some pets have fur. (SiP)
    Ferio (EIO-1) [edit]
    Similar: Festino (EIO-2), Ferison (EIO-3), Fresison (EIO-4)

       No homework is fun. (MeP)


       Some reading is homework. (SiM)
    ∴ Some reading is not fun. (SoP)
    Baroco (AOO-2) [edit]
       All informative things are useful. (PaM)
       Some websites are not useful. (SoM)
    ∴ Some websites are not informative. (SoP)
    Bocardo (OAO-3) [edit]
       Some cats have no tails. (MoP)
       All cats are mammals. (MaS)
    ∴ Some mammals have no tails. (SoP)
    Barbari (AAI-1) [edit]
       All men are mortal. (MaP)
       All Greeks are men. (SaM)
    ∴ Some Greeks are mortal. (SiP)
    Celaront (EAO-1) [edit]
    Similar: Cesaro (EAO-2)

       No reptiles have fur. (MeP)


       All snakes are reptiles. (SaM)
    ∴ Some snakes have no fur. (SoP)
    Camestros (AEO-2) [edit]
    Similar: Calemos (AEO-4)

       All horses have hooves. (PaM)


       No humans have hooves. (SeM)
    ∴ Some humans are not horses. (SoP)
    Felapton (EAO-3) [edit]
    Similar: Fesapo (EAO-4)

       No flowers are animals. (MeP)


       All flowers are plants. (MaS)
    ∴ Some plants are not animals. (SoP)

    Darapti (AAI-3) [edit]
       All squares are rectangles. (MaP)
       All squares are rhombs. (MaS)
    ∴ Some rhombs are rectangles. (SiP)

    Rules

    Barbara

    All S are P,

    And all S are M,

    Thus, All S are P.

    Celarent

    No M is P,

    And all S are M;

    Thus no S are P.
    Cesare

    No P is M,

    And all S are M;

    Thus no S is P.

    Camestres

    All P are M,

    And no S is M;

    Thus no S is P.

    Calemes

    All P are M,

    And no M is S;

    Thus no S is P.

    Darii

    All M are P,

    And some S are M;

    Thus some S are P.

    Datisi

    All M are p,

    And some M are S;

    Thus some S are P.

    Disamis

    Some M are P,

    And all M are S;

    Thus some S are P.

    Dimatis

    Some P are M,

    And all M are S;

    Thus some S are P.

    Ferio

    No M is P,

    And some S are M;

    Thus some S are not P.


    Festino

    No P is M,

    And some S are M;

    Thus some S are not P.

    Ferison

    No M is P,

    And some M are S,

    Thus some S are not P.

    Fresison

    No P is M,

    And some M are S;

    Thus some S are not P.

    Baroco

    All P are M,

    And some S are not M;

    Thus some S are not P.

    Bocardo

    Some M are not P,

    And all M are S;

    Thus some S are not P.

    Barbari

    All M are P,

    And all S are M,

    And some S exist;

    Thus some S are P.

    Celaront

    No M is P,

    And all S are M,

    And some S exist;

    Thus some S are not P.

    Cesaro

    No P is M,
    And all S are M,

    And some S exist;

    Thus some S are not P.

    Camestros

    All P are M,

    And no S is M,

    And some S exist;

    Thus some S are not P.

    Calemos

    All P are M,

    And no M is S,

    And some S exist;

    Thus some S are not P.

    Felapton

    No M is P,

    And all M are S,

    And some M exist;

    Thus some S are not P.

    Fesapo

    No P is M,

    And all M are S,

    And some M exist;

    Thus some S are not P.

    Darapti

    All M are P,

    And all M are S,

    And some M exist;

    Thus some S are P.

    Bamalip

    All P are M,

    And all M are S,

    And some P exist; thus some S are P.

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