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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 Contrapositive
• Proving not true, or proving false by counter example

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## Concept wise

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