Trivium and Quadrivium

 1. The subjects that were studied in the medieval universities were called liberal arts where liberal meant that they were for free men. As part of liberal "arts", it was surprising to see subjects such as grammar, arithmetic, geometry and astronomy which would be part of sciences to be considered to be arts. 

2. The difference usages of the words logistic and logic:

logistics meant practical and utilitarian usage of numbers and calculations and therefore were for children and slaves while logic meant liberal arts which corresponds to further study of numbers which were for the free men.

3. For Greeks, logistics was a study of dealing with sensible objects and doing computation, reckoning, the arithmetic of business while arithmetic was more advanced philosophical study of numbers that looked at the relations and nature of the numbers. This is quite contrasting to modern understanding of these words, as arithmetic often refers to brainless, repetitive calculations while logistics refer to the procedures that were used to present the reasonings behind a claim. 

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