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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.