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9 rules of inference | PHIL - Logic and Reasoning, Quizzes of Reasoning

Washington & Jefferson College (W&J College or W&J)Reasoning

Class: PHIL - Logic and Reasoning; Subject: Philosophy; University: Washington & Jefferson College; Term: Forever 1989;

Typology: Quizzes

2009/2010

Uploaded on 10/31/2010

laxdud02
laxdud02 🇺🇸

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bg1
TERM 1
Modus Ponens (MP)
DEFINITION 1
PQ P Q
TERM 2
MODUS TOLLENS (MT)
DEFINITION 2
PQ -Q -P
TERM 3
HYPOTHETICAL SYLLOGISM (HS)
DEFINITION 3
PQ QR PR
TERM 4
DISJUNCTIVE SYLLOGISM (DS)
DEFINITION 4
P v Q -P Q
TERM 5
CONSTRUCTIVE DILEMNA (CD)
DEFINITION 5
(PQ) . (RS) P v R Q v S
pf3
pf4

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Modus Ponens (MP)

PQ P Q

TERM 2

MODUS TOLLENS (MT)

DEFINITION 2 PQ -Q -P TERM 3

HYPOTHETICAL SYLLOGISM (HS)

DEFINITION 3 PQ QR PR TERM 4

DISJUNCTIVE SYLLOGISM (DS)

DEFINITION 4 P v Q -P Q TERM 5

CONSTRUCTIVE DILEMNA (CD)

DEFINITION 5 (PQ). (RS) P v R Q v S

ABSORPTION (ABS)

PQ P (P.Q)

TERM 7

SIMPLIFICATION (SIMP)

DEFINITION 7 P.Q P TERM 8

CONJUNCTION (CONJ)

DEFINITION 8 P Q P.Q TERM 9

ADDITION (ADD)

DEFINITION 9 P P v Q TERM 10

De Morgans Theorem (De M.)

DEFINITION 10 ~(pq) (~p v ~q) ~(p v q) (~p~q)

Material Implication (Imp.)

(pq) (~p v q) TERM 17

Material Equivalence ( Equiv.)

DEFINITION 17 (pq) [(pq) (qp)] (pq) [(pq) v (~p ~q)] TERM 18

Exportation (Exp.)

DEFINITION 18 [(pq) r] [p (q r)] TERM 19

Tautology (Taut.)

DEFINITION 19 p (p v p) p (pp)