## Propositional Logic – What is Proposition?

‘An elephant weighs more than a human being.’ When you read this declarative sentence, you can immediately…

## Predicate and Quantifiers

A propositional function, or a predicate, in a variable x is a sentence p(x) involving x that becomes…

## Principle of Mathematical Induction

The principle of mathematical induction has a very special place in mathematics because of its simplicity…

## All about Set Theory that we need to know

The idea of set has been intuitively used in mathematics since the time of ancient Greeks now set theory…

## Relations in Group Theory with Examples

Let R be a relation from A to B. The domain of R is the set of all first coordinates of the ordered…

## Functions in Group Theory with examples

Let A and B be two non-empty sets. A function or a mapping f from A to be B is a rule which associates…

## Convergent and Divergent Sequence

The concept of limit forms the basis of Calculus and distinguishes it from Algebra. The idea of the limit…

## Principal Of Counting in Combinatorics

Combinatorics is the branch of discrete mathematics concerned with counting problems. Techniques for counting…

## The Principal of Inclusion and Exclusion

Let us begin with a problem we have made inclusion and exclusion alternately: In a sports club with 54 members…

## Pigeonhole Principle with Examples

Here we will see how obvious the pigeonhole principle is. Its proof is very simple, and amazingly, it has…

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