Statements in Mathematical Logic
A sentence is a statement if it is either correct or incorrect or true or false, but it can never be both because a statement that is both true or false cannot be considered a statement and if a sentence is neither true nor false then also it cannot be considered as a statement. Statements are the basic unit of reasoning. For example, we have three statements:
Sentence 1: Republic day is on 26 January
Sentence 2: The weight of ant is greater than the weight of the elephant.
So, by reading these statements we immediately conclude that sentence 1 is true and sentence 2 is false. Hence, these sentences are accepted as statements because they are either true or false, they are not ambiguous.
Statements – Mathematical Reasoning
Statements – Mathematical Reasoning: The study of logic through mathematical symbols is called mathematical reasoning. Mathematical logic is also known as Boolean logic. In other words, in mathematical reasoning, we determine the statement’s truth value.
Table of Content
- What is Mathematical Reasoning?
- Statements in Mathematical Logic
- Types of Mathematical Reasoning Statements
- Inductive Reasoning
- Abductive Reasoning
- Analytical Reasoning
- Critical Reasoning
- Constructive Reasoning
- Geometric Reasoning
- Probabilistic Reasoning
- Types of Reasoning Statement in Maths
- Value of a statement
- New Statements from Old Statement
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