Posted: 12.05.2016
By Dr. Peter Flügel
Prof. Laxmi Chandra Jain Prologue of Mathematical Sciences in the Karma Antiquity PROLOGUE Doctrines of karman occupy the space between natural and moral philosophy. They mediate between determinism and free will. Tensions between the two principal components of karman theory, a deterministic philosophy of nature or karmic causality and intention-based ethics, are in evidence throughout the history of Indian...
Posted: 17.03.2016
By Prof. Dr. Anupam Jain
Manipal Centre for Philosophy and Humanities Workshop on "Dharma in Jainism" held at MCPH on 2nd and 3rd Feb, 2015. Dr Anupam Jain’s talk on the role of mathematics in the workshop on ‘Dharma in Jainism’ brought to light the rich mathematical knowledge presented in the Jaina philosophy. He started by defining Jaina mathematics as mathematics found in Jaina Canonical Literature or in literature written by...
Posted: 02.04.2015
By Dr. Manju Nahata
I feel honoured to accept the invitation for a 20 minute lecture on Jaina Mathematics and its cultural underpinnings. The title, honestly speaking, calls for a whole book, for thorough discussion. All, I therefore can do here today is to give you a sharp outline. The Mathematical heritage of India, historically speaking is nearly 3000 yrs. Old. The Jain philosophy, which is non-absolutist in nature, is...
Posted: 05.06.2011
By Dr. David Gray
1. Math and Ethnocentrism The study of mathematics in the West has long been characterized by a certain ethnocentric bias, a bias which most often manifests not in explicit racism, but in a tendency toward undermining or eliding the real contributions made by non-Western civilizations. The debt owed by the West to other civilizations, and to India in particular, go back to the earliest epoch of the "Western"...
Posted: 04.06.2011
By Manikant Shah
Some time back D.P. Agrawal had posted a story on this website, "Ancient Jaina Mathematics: an Introduction," mainly based on George Gheverghese's The Crest of the Peacock: Non-European Roots of Mathematics . There were some critical comments on it. This time I am giving a summary of L.C. Jain's essay. LC Jain is a well-known mathematician and an authority on Jain Maths. (The main source and LC Jain's address...
Posted: 03.06.2011
By Prof. D.P. Agrawal
The origins of Buddhism and Jainism can be placed around the middle of the first millennium BC. Both Jainism and Buddhism were basically rebellions against the rituals and sacrifices of the earlier Brahmanical religions. Somehow the Buddhists seem to have specialised in medicine and the Jainas in maths. Kuriyama says that surgery and physical Ayurveda became two separate traditions, surgery being more important...
Posted: 02.06.2011
By Dr. S.K. Jain, Prof. Laxmi Chandra Jain
"The words or the language, as they are written or spoken, do not seem to play any role in my mechanism of thought. The psychical entities which seem to serve as elements in thought are certain signs and more or less clear images which can be voluntarily reproduced and combined" -Albert Elinstein, Ideas and Opinions, Calcutta, 1979. I. Introduction The word, "Mathematical Philosophy", seem to have originated by...
Posted: 02.06.2011
 
Books L C Jain, The Tao of Jaina sciences (Delhi, 1992). G G Joseph, The crest of the peacock (London, 1991). Articles: R C Gupta, Chords and areas of Jambudvipa regions in Jaina cosmography, Ganita Bharati 9 (1-4) (1987), no. 1-4, 51-53. R C Gupta, Madhavacandra's and other octagonal derivations of the Jaina value π = √10, Indian J. Hist. Sci. 21 (2) (1986), 131-139. R C Gupta, On some rules from Jaina...
Posted: 10.03.2009
By Dr. Mahavir Raj Gelra
Shirsaprahelika (The Top riddle) Mahapragya, while giving a discourse on the arithmetic of the Vedic Era, mentioned about the specialty of the Sirsaprahelika , the maximum number, described in the Jain canonical texts. Yajurveda, 17/2 mentions up to Mahasankha in which 20 digits are included. An intermediate number of ten kharabas is also prominent, which is obtained by raising 10 to the power of 12 i.e. 10 12...
Posted: 09.03.2009
By Dr. Mahavir Raj Gelra
In the Sthananga-sutra, ten types of Mathematics are described in the chapter dealing with numerate terms. Mahapragya has presented a detailed note on this mathematical learning, which is complete in itself. This ancient mathematical style will be interesting for the readers. 1. Parikarma (Operators) - In the Indian system, there are eight basic mathematical operations - (i) addition, (ii) subtraction, (iii)...
Posted: 06.03.2009
By Dr. Mahavir Raj Gelra
The beginning of the studies of mathematics in India is regarded a thousand years before Christian era. This was the period when the Jain knowledge prophesied by the Lord Parshwanath was flourishing. Jain arithmetic finds its parallels in Vedic mathematics. During Vedic period, the sacrificial altars were constructed in various safe geometrical shapes to confine the sacred fire. The shapes of the pits used to...

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