If faraway peoples have different ideas from our own, is this because they have different mentalities? Did our remote ancestors lack logic? The notion of distinct mentalities has been used extensively by historians to describe and explain cultural diversity. Professor Lloyd rejects this psychologising talk of mentalities and proposes an alternative approach, which takes as its starting point the social contexts of communication. Discussing apparently irrational beliefs and behaviour, he shows how different forms of thought coexist in a single culture (...) but within conventionally defined contexts. (shrink)

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove (...) the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof. (shrink)