New Statements From Old
Chapter Name : Mathematical Reasoning |
Sub Topic Code : 104_11_14_03_01 |
Topic Name : New Statements From Old |
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Sub Topic Name : Negation Of A Statement |
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Introduction
When there is no confusion whether a sentence is true or false, we call the sentence a Statement. If a sentence is ambiguous, it is not acceptable as a statement in mathematics. The denial of a statement is called the negation of the statement. If p is a statement, then the negation of p is also a statement and is denoted by ? p, and read as ‘not p’.
Pre-Requisites:
• Logic Fundamentals • Basic Reasoning
Activity:
Observe the different decision you need to make in your daily life and also observe the various assumptions and arguments these reasons are based on. Negate these statements and observe the results.
Real Life Question:
“Sam was born on 24th Feb 1990.” Can you make a new statement from this?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
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| Inductive Reasoning | Inductive reasoning, (Bottom-up logic) is a kind of reasoning that constructs or evaluates general propositions that are derived from specific examples. |
| Deductive Reasoning | Deductive reasoning,(Top-down logic) is the process of reasoning from one or more general statements (premises) to reach a logically certain conclusion. |
| Statement | A sentence is called a mathematically acceptable statement if it is either true or false but not both. |
| Negation of Statement | The denial of a statement is called the negation of the statement. If p is a statement, then the negation of p is also a statement and is denoted by ? p, and read as ‘not p’. |
Learning aids / Gadgets
| Gadgets | How it can be used |
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Real life uses :
Mathematical Reasoning is used in daily life to make crucial analytical decisions that are based on a set of premises.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
We learn about negation of statements.
What you learn in Practice:
We learn how to use Reasoning in everyday life.