Ghazzālī; 1058-1111; Ibn Taymīyah, Aḥmad ibn ʻAbd al-Ḥalīm, 1263-1328; criticism and interpretation; Islam; doctrines.

Analytical study of the meaning of Intellect (Buddhi) with reference to Indic philosophy in relations to Sanskrit grammar.

Upaniṣatsvadvaitabrahmavādaḥ.-Brahmasūtrāṇāmadvaitānuguṇyam.-Pūrvamīmāṁsānyāyānāṃ Vedāntārthanirṇayopayogaḥ.

Contributed research papers presented at National Seminar jointly organized by Somanth Sanskrit University, Veraval and Sanskrit Sahitya Akadami at Gandhinagar on February 21-22, 2022.

§1. Introduction. By and large, definitions of a differentiable structure on a set involve two ingredients, topology and algebra. However, in some cases, partial information on one or both of these is sufficient. A very simple example is that of the field ℝ where algebra alone determines the ordering and hence the topology of the field:In the case of the field ℂ, the algebraic structure is insufficient to determine the Euclidean topology; another topology, Zariski, is associated with the ield but (...) this will be too coarse to give a diferentiable structure.A celebrated example of how partial algebraic and topological data determines a differentiable structure is Hilbert's 5th problem and its solution by Montgomery-Zippin and Gleason.The main result which we discuss here is of a similar flavor: we recover an algebraic and later differentiable structure from a topological data. We begin with a linearly ordered set ⟨M, <⟩, equipped with the order topology, and its cartesian products with the product topologies. We then consider the collection of definable subsets of Mn, n = 1, 2, …, in some first order expansion ℳ of ⟨M, <⟩. (shrink)

Critical interpretation of Sankhya philosophy based on Sankhyasutra of Kapil, Sāṅkhyatattvāloka of Hariharananda Aranya and Sāṅkhyasūtra of Pancasikha; includes Sanskrit text with English translation.

A structure (M, $ ,...) is called quasi-o-minimal if in any structure elementarily equivalent to it the definable subsets are exactly the Boolean combinations of 0-definable subsets and intervals. We give a series of natural examples of quasi-o-minimal structures which are not o-minimal; one of them is the ordered group of integers. We develop a technique to investigate quasi-o-minimality and use it to study quasi-o-minimal ordered groups (possibly with extra structure). Main results: any quasi-o-minimal ordered group is abelian; any quasi-o-minimal (...) ordered ring is a real closed field, or has zero multiplication; every quasi-o-minimal divisible ordered group is o-minimal; every quasi-o-minimal archimedian densely ordered group is divisible. We show that a counterpart of quasi-o-minimality in stability theory is the notion of theory of U-rank 1. (shrink)

On the fundamentals of Mimamsa philosophy.

Saʻadia ben Joseph, 882-942; Judaism; history.

Contributed articles on the life and works of K. Satchidananda Murty,, Indic philosopher and teacher.

Influence of Buddhism and Sankhya school of Hindu philosophy on Shankaracharya, Hindu Vedantist; a study.

Understanding Islam ; fundamenals of Islamic thought.