Introduction to symbolic logic truth tables:
Logic contracts with kinds of reasoning. Reasoning may be legal opinion or mathematical confirmations. Basic logical connectives are AND, OR and NOT. Symbolic form of logical connectives are’^^’, ‘vv’ and ‘~’ for AND, OR and NOT respectively. Truth table states the relation between the compound statement and sub – statement. Let us see symbolic logic truth tables in this article.
Symbolic Logic Truth Tables:
Logic contracts with kinds of reasoning. Reasoning may be legal opinion or mathematical confirmations.
Logical statement is a sentence which is any one true or false but not mutually.
Statement 1: Delhi is capital of India.
Statement 2: twenty divide by five is 6.
Statement 3: what is your name?
Statement 1 is true and it is also a statement.
Statement 2 is false but it is a statement.
Statement 3 is cannot be assigned to true or false and it is also a question not a statements.
Basic logical connectives:
And or conjunction
Or / disjunction
Not or negation.
Symbols to represent logical connectives:
‘^^’ = AND
‘vv’ = OR
~ = NOT
A table that explains the connection between the truth values of a compound statement and truth values of its sub- statements is described the truth table.
Truth table holds of rows and columns.
The first column is filled with possible truth values of the sub – statement and final column is filled with truth values of the compound statement on the foundation of truth values of the secondary – statement written in the initial columns.
2n rows are presence in the truth table.
If the statement is true, we say that is truth value is true or T and if the statement is false, we say that is truth value is false or F
Symbolic truth table for logical connectives:
Conjunction or AND:
A B A’^^’ B
T T T
T F F
F T F
F F F
Disjunction / OR:
A B A’vv’ B
T T T
T F T
F T T
F F F
Negation or NOT:
Problems for Symbolic Logic Truth Tables:
A ~A A ‘^^'(~A)
T F F
F T F
Solve (~A)’vv’ (~B)
A B ~A ~B (~A)’vv'(~B)
T T F F F
T F F T T
F T T F T
F F T T T
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