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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What is Mathematical Reasoning?

Mathematical reasoning is of seven types i.e., intuition, counterfactual thinking, critical thinking, backward induction, inductive reasoning, deductive reasoning, and abductive induction. Out of these 7 types, the following two types are the major types:...

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:...

Types of Mathematical Reasoning Statements

Inductive Reasoning:...

Types of Reasoning Statement in Maths

Simple statement: Simple statements are those statements whose truth value does not explicitly depend on another statement. They are direct and does not include any modifier....

Value of a statement

A statement if is either correct or incorrect or true or false. The true or false state of a statement is known as a truth value. If the statement is false it is determined as ‘F’ and if the statement is true it is determined as ‘T’....

New Statements from Old Statement

In mathematical reasoning, a new statement is created from the old statement by the negation of the old statement....

Conclusion – Mathematical Reasoning

Mathematical reasoning not only enhances our understanding of mathematical concepts but also equips us with essential skills for navigating the challenges of the modern world, from interpreting data and making predictions to analyzing arguments and evaluating evidence. As such, fostering mathematical reasoning skills is integral to fostering intellectual curiosity, creativity, and lifelong learning....

FAQs on Mathematical Reasoning

What is mathematical reasoning?...

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