
Translating concepts: yes, but how?
The names of new concepts and abbreviations often take very different paths as they pass from one language to another, enriching mathematical writing.


The names of new concepts and abbreviations often take very different paths as they pass from one language to another, enriching mathematical writing.


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Most medical terms are of Greek origin, sometimes Latin. And while mathematics is sometimes reluctant to draw on ancient languages, certain fields have borrowed vocabulary from them. This explains why we find common roots in these two disciplines.

Two postulates in Euclid's Elements embody the ideal conception of the straightedge and compass inherited from Plato's realm of Ideas. The Alexandrian scholar built much of plane geometry—and the constructions he bequeathed to us—on these two postulates.

Greek mathematical texts influenced the entire history of mathematics around the Mediterranean. Yet Greek was not always spoken by every scholar. Ancient texts therefore had to be translated to make them accessible to as many people as possible.

Proofs by induction were given long before this form of reasoning was formalized, let alone named.
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