• 200

# 300 BC: Proof of Irrational Numbers is released.

Euclid Releases his proof of the existence of the irrational numbers.
• 200

# 3000 BC: First Recorded Use of Natural and Rational Numbers

The Egyptians and Babylonians were first recorded in 3000 BC using the natural numbers and rationals. Egyptians used base 10 while the Babylonians used base 60.
• 200

# 500 BC: Evidence of Irrational Numbers is suppressed.

The Pythagoreans(a sect of Greek Philosophers) suppress evidence that irrational numbers exist by murdering Pythagoras. Pythagoras had proof of irrational numbers.
• Jan 1, 600

# 600 AD: Arabic Number System Started

The Arabic Number System begins. This is a place value system that uses base 10, including zero.
• Jan 1, 1400

# 15th Century: Arabic Number System Becomes Prevalent in Europe.

Arabic Number System Becomes Prevalent in Europe. Negative Numbers are defined.
• Jan 1, 1500

# 16th Centuray: Imaginary Numbers are first used.

Imaginary Numbers are first used to give notational solutions.
• # 17th Century: Compley Arithmetic is defined as part of Mathematics.

Compley Arithmetic is defined as part of Mathematics(arithmetic that used the imaginary number "i"). This leads to the development of the Argand Diagram and much, much more.
• # 18th Century: The Euler Equation

The Euler Equation is used to define the natural logarithm of negative numbers.
• # 19th Century: Cantor and his Diagoal Argument

Cantor and his Diagoal Argument define the real numbers absolutely and defend them rigorously. The argument also establishes countable and uncountable infinities.
• # 20th Century: Godel's Incompleteness Theorem

Godel's Incompleteness Theorem(as expressed by the Liar's Paradox) rules out total completeness of mathematics. Consisency is not affected.