Ibn Sīnā's Remarks on a Khwarizmian Sound

Remarks on microperiodic multifunctions

It is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. We introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. We deal with Vietoris and Hausdorff continuity concepts.Stability of microperiodi...

Remarks on Distance-Balanced Graphs

Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.

Ibn Sīnā on Reductio Ad Absurdum

This paper studies the analysis of reductio ad absurdum by Ibn Sı̄nā (known to the Latin West as Avicenna), who was born in 980 in a village near the Bactrian town of Balkh on the Silk Road, and died in 1037 after a career spent moving around within the present boundaries of Iran. References to Ibn Sı̄nā’s writings are to his Arabic texts listed in the bibliography, and are given in the format pa...

The world of Ibn Ṭufayl: interdisciplinary perspectives on Ḥayy ibn Yaqẓān

provides us with several answers. First, in recent decades there has been a revival of homeopathic medicine, especially in Germany. The renewed popularity among patients of homeopathic remedies must at least in part be attributed to dissatisfaction with "scientific medicine", the elite of which seems primarily interested in modem medicine's technical tools; as Roy Porter put it in his perceptiv...

Ibn Sina on modes , c Ibāra ii