AVICENNA ON GRASPING MATHEMATICAL CONCEPTS

The otorhinolaryngologic concepts as viewed by Rhazes and Avicenna.

Iran has a longstanding history and a rich heritage of medicine. Two reputable Persian medical scholars of the Middle Ages are Razi (Rhazes) and Ibn-Sina (Avicenna). Their most important otorhinolaryngologic contributions based on the relevant data from two major medical books i.e., al-Hawi (Liber Continens) and Qanun fi-Tebb (Canon of Medicine) are discussed. *** he “Golden Age of Medicine” in...

On the Design of Mathematical Concepts

Mathematical Concepts and Definitions

I Definition and Mathematical Practice The basic observation structuring this survey is that mathematicians often set finding the “right” / “proper” / “correct” / “natural” definition as a research objective, and success finding “the proper” definition can be counted as a significant advance in knowledge. Remarks like these from a retrospective on twentieth century algebraic geometry are common:

Avicenna on Induction

Mathematical Concepts and Physical Objects

Introduction (with F. Bailly) With this text, we will first of all discuss a distinction, internal to mathematics, between "construction principles" and "proof principles" (see [Longo, 1999], [Longo, 2002]). In short, it will be a question of grasping the difference between the construction of mathematical concepts and structures and the role of proof, more or less formalised. The objective is ...