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Mathematical Reasoning

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This is Mathematical Reasoning - an important chapter in Logic in Mathematics.

 

In this chapter, we will study

  • What is a statement
  • Finding Negation of a statement (∼p)
  • What is a Compound Statement
  • Checking if compound statement with And is true or false
  • Checking if compound statement with Or is true or false
  • Checking if the Or is Inclusive or Exclusive
  • Quantifiers like There Exists and For all
  • Implications like "If-then", "only if" and "if and only if"
  • Contrapositive statements
  • Converse Statements
  • Proving statements true with
    • And
    • Or
    • If then
    • If and only if
    • By contradiction
    • By Contrapositive
  • Proving not true, or proving false by counter example

 

Click on a topic of exercise below to start.


Serial order wise

Statements
Negation of Statements
Compound Statements
If then Statements
Proving Statements true or false
Examples
Miscellaneous

Concept wise

Statements
Writing negation of statements
Negation - Checking if true or not
Finding Compound Statement
Words 'And' & 'Or'
Inclusive and exclusive or
Quantifiers
Contrapositive and converse
If then
If and only if
Proving not true/false (by giving counter examples)
Proving True - If and only if
Proving True - By Contrapositive
Proving True - By Contradiction
Necessary and sufficient condition

What's in it?

This is Mathematical Reasoning - an important chapter in Logic in Mathematics.

 

In this chapter, we will study

  • What is a statement
  • Finding Negation of a statement (∼p)
  • What is a Compound Statement
  • Checking if compound statement with And is true or false
  • Checking if compound statement with Or is true or false
  • Checking if the Or is Inclusive or Exclusive
  • Quantifiers like There Exists and For all
  • Implications like "If-then", "only if" and "if and only if"
  • Contrapositive statements
  • Converse Statements
  • Proving statements true with
    • And
    • Or
    • If then
    • If and only if
    • By contradiction
    • By Contrapositive
  • Proving not true, or proving false by counter example

 

Click on a topic of exercise below to start.