## What is an integer ? A crafty representation

Integers are an extension of the natural numbers where the existence of subtraction provides a more appropriate framework for certain questions of arithmetic. They can be described axiomatically, but can

Skip to content
## What is an integer ? A crafty representation

## What is a natural number? Defining or axiomatising

## An infinity of prime numbers : Euclid’s theorem

## Finiteness and Mathematical Infinity : Comparing and Enumerating

## What is a set? Founding mathematics in intuition

is_archive

Integers are an extension of the natural numbers where the existence of subtraction provides a more appropriate framework for certain questions of arithmetic. They can be described axiomatically, but can

Mathematical science does not seek to define the notion of a natural number, but to understand the set of natural numbers.
"Natural numbers have been made by God, everything else is

The prime natural numbers are those which have no divisors other than 1 and themselves. They exist in infinite number by Euclid's theorem, which is not difficult to prove.
1.Prime numbers
1.1.Divisors

A finite set is a set that can be counted using the natural numbers \(1,\ldots,n\) for a certain natural number \(n\). But what is counting ? And then, what is

Naive set theory or "potato science" is the natural (and understandable!) foundation of mathematical science.
"I know what time is. If you ask me, I don't know anymore." Augustine.
This insightful quote