Mathematical Logic Truth Table
The truth table in mathematical logic is a table which takes inputs and provides output when a logic is applied to it. The truth table for different mathematical logic operators are given below.
Negation
The truth table for negation is given below.
|
A |
~A |
|---|---|
|
True |
False |
|
False |
True |
Conjunction
The truth table for conjunction is given below.
|
A |
B |
A∧B |
|---|---|---|
|
True |
True |
True |
|
True |
False |
False |
|
False |
True |
False |
|
False |
False |
False |
Disjunction
The truth table for disjunction is given below.
|
A |
B |
A∨B |
|---|---|---|
|
True |
True |
True |
|
True |
False |
True |
|
False |
True |
True |
|
False |
False |
False |
Implication
The truth table for implication is given below.
|
A |
B |
A→B |
|---|---|---|
|
True |
True |
True |
|
True |
False |
False |
|
False |
True |
True |
|
False |
False |
True |
Double Implication
The truth table for double implication is given below.
|
A |
B |
A↔B |
|---|---|---|
|
True |
True |
True |
|
True |
False |
False |
|
False |
True |
False |
|
False |
False |
True |
Introduction to Mathematical Logic
Mathematical logic deals with the logic in mathematics. Mathematical logic operators and laws define various statements in their mathematical form. In this article, we will explore mathematical logic along with the mathematical logic operators and types of mathematical logic. We will also solve some examples related to mathematical logic.
Table of Content
- What is Mathematical Logic?
- Mathematical Logic Operators
- Mathematical Logic Formulas
- Types of Mathematical Logic
- Mathematical Logic Truth Table
- Mathematical Logic Solved Examples
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