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RINGKASAN LOGIKA, PERKULIAHAN ILMU ALAMIAH DASAR UNIVERSITAS CIPUTRA

                      INFERENSI DEDUKTIF LANGSUNG                                    INFERENSI LANGSUNG OPOSISI
                   Invertend                    Inverse
  All   S   is P                  A Some Not S is not P (L)         I
  All   S   is P                  A Some Not S is P (S)             I
  All   S   is not P              E Some Not S is P (L)             O
  All   S   is not P              E Some Not S is not P (S)         O

              Konvertend                             Konverse
  All S is P                       A   Some P is S                  I
  All S is not P                   E   All P is not S               E
  No S is P                        E   No P is S                    E
  Some S is P                      I   Some P is S                  I

             Obvertend                              Obverse
  All S is P                       A   No S is non-P                E
  No S is P                        E   All S is non-P               A
  Some S is P                      I   Some S is not non P          O   INFERENSI DEDUKTIF SILOGISME KATEGORIS
  Some S is not P                  O   Some S is non P              I   BENTUK 1                BENTUK 2
                                                                        BARBARA (AAA)           CAMESTRES (AEE)
              Premise                            Kontrapositive         CELARENT (EAE)          CESARE (EAE)
  All S is P                       A   All No P is No S             A   DARII (AII)             BAROKO (AOO)
  No S is P                        E   Some Non-P is not non S      O   FERIO (EIO)             FESTINO (EIO)
  Some S is no P                   O   Some No P is S (not non-S)   O
                                                                        BENTUK 3                           BENTUK 4
               INFERENSI DEDUKSI SILOGISME HIPOTETIS                    DATISI (AII)                       CAMENES (AEE)
  1.    Modus Ponens (p → q; p; * q)                                    DISAMIS (IAI)                      DIMARIS (IAI)
  2.    Modus Tollens (p → q; ~q; * ~p)                                 FERISON (EIO)                      FRESISON (EIO)
  3.    Hypothetical Syllogism (p → q; q → r; * p → r)                  BOKARDO (OAO)
  4.    Disjunctive Syllogism (p v q; ~p; * q)
  5.    Constructive Dillemma (p → q ^ r → s; p v r; * q v s)           Bentuk   1   =   MP;   SM;   *SP
  6.    Absorption (p → q; * p → (p ^ q)                                Bentuk   2   =   PM;   SM;   *SP
  7.    Simplification (p ^ q; * p)                                     Bentuk   3   =   MP;   MS;   *SP
  8.    Conjunction (p; q; * p ^ q)                                     Bentuk   4   =   PM;   MS;   *SP
  9.    Addition (p; * p v q)

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Ringkasan logika

  • 1. RINGKASAN LOGIKA, PERKULIAHAN ILMU ALAMIAH DASAR UNIVERSITAS CIPUTRA INFERENSI DEDUKTIF LANGSUNG INFERENSI LANGSUNG OPOSISI Invertend Inverse All S is P A Some Not S is not P (L) I All S is P A Some Not S is P (S) I All S is not P E Some Not S is P (L) O All S is not P E Some Not S is not P (S) O Konvertend Konverse All S is P A Some P is S I All S is not P E All P is not S E No S is P E No P is S E Some S is P I Some P is S I Obvertend Obverse All S is P A No S is non-P E No S is P E All S is non-P A Some S is P I Some S is not non P O INFERENSI DEDUKTIF SILOGISME KATEGORIS Some S is not P O Some S is non P I BENTUK 1 BENTUK 2 BARBARA (AAA) CAMESTRES (AEE) Premise Kontrapositive CELARENT (EAE) CESARE (EAE) All S is P A All No P is No S A DARII (AII) BAROKO (AOO) No S is P E Some Non-P is not non S O FERIO (EIO) FESTINO (EIO) Some S is no P O Some No P is S (not non-S) O BENTUK 3 BENTUK 4 INFERENSI DEDUKSI SILOGISME HIPOTETIS DATISI (AII) CAMENES (AEE) 1. Modus Ponens (p → q; p; * q) DISAMIS (IAI) DIMARIS (IAI) 2. Modus Tollens (p → q; ~q; * ~p) FERISON (EIO) FRESISON (EIO) 3. Hypothetical Syllogism (p → q; q → r; * p → r) BOKARDO (OAO) 4. Disjunctive Syllogism (p v q; ~p; * q) 5. Constructive Dillemma (p → q ^ r → s; p v r; * q v s) Bentuk 1 = MP; SM; *SP 6. Absorption (p → q; * p → (p ^ q) Bentuk 2 = PM; SM; *SP 7. Simplification (p ^ q; * p) Bentuk 3 = MP; MS; *SP 8. Conjunction (p; q; * p ^ q) Bentuk 4 = PM; MS; *SP 9. Addition (p; * p v q)