Special Words/Phrases
Chapter Name : Mathematical Reasoning |
Sub Topic Code : 104_11_14_04_03 |
Topic Name : Special Words/Phrases |
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Sub Topic Name : Quantifiers |
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Introduction
• Quantifiers are words like There Exists, For All. • Quantifiers order is important in mathematical statements. • Quantifiers are used when we have to check validity of different statements.
Pre-Requisites:
Knowledge of Component statements, Compound statements, Deductive reasoning, Connectives.
Real Life Question:
For every email id account there exists an inbox such that new messages are stored in. Identify the quantifiers.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Deductive reasoning | Deductive reasoning is arriving at conclusion using facts, rules and definitions. |
| Compound statement | Compound statement is a statement that contains two separate ideas joined together by connective. |
| Component statement | Each statement in a compound statement is called component statement. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| http://julaidahsuboh.blogspot.in/2010/03/mathematical-reasoningform-4-worksheet.html | Rewrite sentences using quantifiers. |
Real life uses :
Quantifiers are helpful in proving mathematical proofs. Many errors in mathematical proofs were corrected with quantifiers.
Places to visit :
How can we use quantifier there exists for water filter in our home?
Practical examples around us
| Examples | Explainations |
|---|---|
| Motion of magnetic train | To describe motion of magnetic train Intermediate value theorem of calculus is used and Intermediate value theorem makes use of quantifiers. |
What you learn in Theory:
Quantifiers are used to validate mathematical statements.
What you learn in Practice:
To formulate most complex mathematical statements we use quantifiers.