Previously we have discussed about law of exponential growth and In today's session we are going to discuss about mathematical logic concept which we will study icse books .Logic means reasoning, where reasoning may be legal opinion or mathematical confirmations. There are basically three BasicLogical Operators in mathematics - Negation , Conjunction and Disjunction and we will discuss their definition by the truth tables.
Negation (<) is a basic mathematical logic which is working like NOT operator means it gives opposite result of input like if input is yes then negation gives no as output.We can understand the logic of negation by truth table(want to Learn more about Logical Operators ,click here),
Input(x) Output(< div="">
<>
True False
False True
We take some examples which are solved by negation
example 1 - problem : x is taller than y.
solution : x is not taller than y.
example 2 - problem : this is a leap year .
solution : this is not a leap year.
2. Conjunction(>) is a basic mathematical logic which is working like AND operation means if both conditions are true then it gives true else it gives false. Truth table of Conjunction between two inputs is
Input Input Output(>)
P Q (P AND Q)
False False False
True False False
True True True
False True False
3. Disjunction(V) is also a basic mathematical logic which is working like OR operation means if any condition is true is produces true as a result else in any other condition it produces false as a result and truth table of disjunction between two input are
Input Input Output(>)
P Q (P OR Q)
False False False
True False True
True True True
False True True
So, there are basically three logical operators which are commonly used in reasoning. So this is a brief discussion about logical operators. In the next article we will discuss about Negations in Mathematics and also about Frequency Distribution.
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