Arithmetic


The word 'arithmetic' comes from the Greek word 'arithmos', which means numbers.

 

The 'arithmetic' was one of the four categories of the Quadrivium, the science of antiquity. Please find a small preview in the below.


Fingers can operate as a mechanical computer: your fingers allow you to count in the decimal, twelve and sexagesimal system.

 

These reproductions of tesserae (= counting discs) show a finger position at the front and a Roman numeral at the back. Various ancient sources indicate the Romans counted with their fingers in the decimal (= ten-digit) system.

 

Until well into the Middle Ages, traders could negotiate prices with each other using this finger technique, without having to know each other's language.


Applied mathematics on a crate of Duvel: follow the logic of mathematical modelling of numbers.

 

A walk through a modern-day department store learns us that most stacking techniques lend themselves to a specific modelling of numbers.


The 'Plimpton 322' clay tablet is a famous archaeological discovery.

 

This 3700 year old Babylonian tablet provides hard evidence the Pythagorean theorem was discovered long time before Pythagoras was born.

 

The engraved numbers use the base 60 system.


The Roman abacus was a simple mechanical computer with surprising capabilities.

 

For units, the base 10 system was used, for fractions the base 12 system.


Around the 3rd century BC, a new coin came into use in the Roman Republic: the 'aes grave' (heavy bronze). The depicted coin is a quadrans, the three dots on both sides indicate that this coin is 3/12 of the value of 1 'as'. This Roman 'as' was the reference unit of the currency at that time (a similar concept as the 1 euro now in Europe).


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