The truth value of a complex contestation p, q, r, ... in addition to inwards the shape of a symbol that uses contestation operations (negation, conjunction, disjunction, implication, in addition to biimplication) tin hold upward determined using a truth table.
Example of the truth tabular array of the next chemical compound contestation pairs inwards a unmarried table
a. (p ∧ q) ; p ν q
Information :
T = True
F = False
The truth value inwards column 6 is equivalent or equal to column vii is FTTT, in addition to hence it tin hold upward concluded that the negation of the p ∧ q contestation is p ν q in addition to tin hold upward written every bit follows :
(p ∧ q) ≡ p ν q
b. (p ν q) ; p ∧ q
Information :
T = True
F = False
The truth value at column 6 is equivalent or equivalent to column vii is FFFT, in addition to hence it tin hold upward concluded that the negation of the disjunction contestation p ν q is p ∧ q in addition to tin hold upward written every bit follows:
(p ν q) ≡ p ∧ q
c. (p → q) ; p ∧ q
Information :
T = True
F = False
The truth value inwards the fifth column is equivalent or equal to the 6th column is the FTFF, in addition to hence it tin hold upward concluded that the negation of the implication contestation p → q is p ∧ q in addition to tin hold upward written every bit follows:
(p → q) ≡ p ∧ q
d. (p ↔ q); p ↔ q
Information :
T = True
F = False
The truth value inwards column 6 is equivalent or equivalent to the seventh column of FTTF, in addition to hence it tin hold upward concluded that the negation of the bi ation contestation p ↔ q is p ↔ q in addition to tin hold upward written every bit follows:
(p ↔ q); p ↔ q atau (p ↔ q); p ↔ q
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Referensi :
- To'Ali's mass math grouping accounting in addition to sales