Sunday, April 5, 2026

Ayurveda for physical health

 Ayurveda for physical health

  • Sequence of getting sustainable happiness (धर्म, अर्थ, काम, मोक्ष )
  • To be able to do the right things (धर्म), we need good health. 
  • As per modern medicine, good health is defined in comparison with average values.
  • In Ayurveda, the definition of good health is dependent on the nature of one's body.
  • Most important contributions- Caraka-samhitha, Susruta samhitha, Astanga Hrudaya
  • Two Ayurveda schools (philosophies) derive their principles from Vaisesika and Samkhya
  • Concept of Samanya padartha- Determining the common thing in disease and the cause
  • Disease and the cause & impact on individuals can be different
  • Eg: Specific nature of Vaata-   1)Roughness, 2) coolness and 3) lightness. Imbalance in Vata has to be treated using a dravya (susbstance) that has the opposite nature. For example oil is sticky, hot and heavy



Saturday, March 21, 2026

Indian Calendar

 INDIAN CALENDAR

Elements of the Indian Calendar

  • Coordinate system
                      

The ecliptic plane is the plane that contains the orbit of the Earth around the Sun


The sun is said to be in a nakshatra or Rasi if the line joining the Earth with Sun goes through that nakshatra (star) or rasi (constellation)

The celestial sphere is an imaginary sphere centered on the Earth used to measure the positions of the stars  through angles Azimuth and Altitude


The moon and almost all the planets are found within a belt of width 8 degrees on either side of the ecliptic plane, and this belt is known as the Zodiac or the Rasichakra

Solar and Lunar Years
  • Solar year (Samvatsara) is the time taken by the Earth to complete one revolution around the Sun. That means, after exactly one solar year, the Sun will return to the same star (background of stars). It is equal to 365.2564 days.
  • Lunar year (AnuVatsara) is 12 cycles of Full Moon to Full Moon (or New Moon to New Moon). It is equal to 354.3671 days. 
Thus, there is a discrepancy of 10.9 days in the Solar and Lunar years. After every Five years the Sun and the Moon come to the same position in the background of stars. This 5-year cycle is used to synchronize the solar and Lunar calendars by adding two Lunar months (Adhika masas).

Five components of Panchanga: These five components uniquely 
  • Tithi
  • Nakshatra
  • Vara
  • Karana
  • Yoga
The Sun moves at the rate of 1 degree per day, with respect to the Earth. The Moon moves at the rate of 13 degrees with respect to the Earth. The difference between the longitudinal positions of the Sun and the Moon is Tithi
The Moon is in the green color longitude (i.e. the line joining centres of Earth and Moon in this longitude). The Sun is in blue color Longitude. The Integer part of the angle between these two longitudes is called TITHI.

The Nakshatra, at any instant, refers to the particular portion of the ecliptic in which the moon is situated. In the above picture, the moon is situated in Nakshatra #3 i.e., Krittika

There are 27 Nakshatras (lunar mansions) in Vedic astrology. They are: 1. Ashvini, 2. Bharani, 3. Krittika, 4. Rohini, 5. Mrigashirsha, 6. Ardra, 7. Punarvasu, 8. Pushya, 9. Ashlesha, 10.Magha, 11.Purva Phalguni, 12.Uttara Phalguni, 13.Hasta, 14. Chitra, 15.Swati, 16.Vishakha, 17. Anuradha, 18. Jyeshtha, 19. Mula, 20. Purva Ashadha, 21. Uttara Ashadha, 22. Shravana, 23. Dhanishtha, 24. Shatabhisha, 25. Purva Bhadrapada, 26.Uttara Bhadrapada, and 27. Revati







Sunday, March 15, 2026

Indian Mathematicians

 Indian Mathematicians

  1. Panini - Algorithms
  2. Pingala - Binary Mathematics
  3. Aryabhatta - Square root, cube root, place value system, sine table, quadratic equ., trigonometry
  4. Varaha Mihira- Fine ancient Siddhantas, Trigonometric identities, combinatorics, Magic square
  5. Bhaskara-I - Indeterminate equations, approximate formula for sine function, astronomy
  6. Brahmagupta - Arithmetic with zero and negative numbers, pythogorean triplets, etc
  7. Virahanka - Fibonacci numbers, Morci meters,
  8. Bhaskara-II - Sine functions, surds, permutations and combinations, ideas of calculus, astronomy
  9. Nilakantha Somayaji - Irrationality of pi, BAsic ideas of calculus, PLanetary theory, Sine series













Thursday, March 12, 2026

Unique Aspects of Indian Mathematics

 Unique Aspects of Indian Mathematics

Unique features

  • Indian mathematics is a seamless blend of poetry, literature, logic, and mathematical thinking weaved into a single work. It is not compartmentalized as in modern education. There is no fear or stress in learning mathematics
  • Indian mathematics seamlessly blended into daily life:  Temple inscriptions, literary works, discussions on religion, spirituality, etc

Sunday, March 1, 2026

Vaisesika Darsana

 Vaisesika Darsana

  • Mainly deals with 'Exposition of reality'
  • Systematic framework to describe all the 'Nameable and knowable' entities
  • Kanaada gave 370 sutras to describe the 'second stage of creation' (First stage of creation, as per Indian Tradition, involves creation of ether, time, space and elements- earth, water, fire and air. Second stage of creation involves creation of multitude of physical entities)
  • Three-pronged approach
    • Uddhesa: Classification framework
    • Lakshana: Definition of properties
    • Pariksa: Examination using perception and inference
  • Framework of Vaisesika school

  • Dravyas, guna and karmas have general and special aspects, as given below
  • Dravya constitutes the basic building block of the physical reality. It can be roughly translated as substance or matter, with more broader scope
  • Classification on the basis of extent
  • Classification based on occurence as singular or in classes
  • Attributes of substances
Attributes are inherent properties associated with the substances (DRAVYA). 

They do not have independent existence nor cause for conjunction or disjunction process

17-24 attributes are identified and classified into three sets.

1)  Attributes related to finite substances- color, taste, smell , touch, fluidity, viscidity, etc

2) Attributes related infinite substances - cognition, pleasure, pain, desire, aversion, volition, merit, demerit, impression and sound

3) Attributes associated with both finite and infinite substances- number, quantity, separateness, conjunction and disjunction


From the above table, we can understand the general properties and special properties. Earth has a special property of smell. Ether has a special property of Sound. Water has a special combination of taste-color-touch

 



Sunday, February 22, 2026

Knowledge Framework and classification

 Knowledge Framework and classification

Expected Outcomes

  • Understand the framework for establishing the right knowledge
  • Explain the Nyaya Framework
Nyaya Sastra:

  • One of the 6 Vedic (Theistic) schools of philosophy 
  • It has 528 sutras
  • It discusses the rules of reason, logic and epistemology
The knowledge triangle

  • Knowledge (jnana) is defined as perception by revelation or manifestation of objects
  • Valid Knowledge is called Prama- right perception of an object or "knowing an object as it is"
  • Invalid knowledge: Memory, doubt, error or hypothetical meaning

Components of knowledge triangle: 
  • Seeker of knowledge is pramatru
  • Object of knowledge is prameya: Vaisesika Philosophy addresses this component (Metaphysics)
  • Means of knowledge is pramana: Nyaya Philosophy addresses this component (Epistemology)
Nyaya Sutras by Gautama
  • Considering 16 factors while establishing the right knowledge
  • They form the fundamental framework for creating new knowledge and advancing thoughts through logic and arguementation
  • Can be used in all fields (literature, grammer, philosophy, etc)
Vaisesika Sastra or darsana by Kanaada:
  • There are 12 objects of knowledge
  • Visesa is "individual or special or distinguishing characteristic"
  • It involves classification of individual or atomic elementals and their association with one another
  • There are 370 sutras
  • This forms the basic science that is applied in "ayurveda" and "Shilpa-sastra"


Friday, February 13, 2026

Indian Number System

 Indian Number System

(Source: Indian Knowledge System by Mahadevan et al., PHI)

  • Historical evidences of Indian Number System
  • Decimal Number System
  • Bhuta-Sankhya System- Representing numbers through popular entities (Bhutas)
Example#1to 3
Example #4
  • Katapayadi System

Example #1

Example #2
Example #3
Example #4











Ayurveda for physical health

 Ayurveda for physical health Sequence of getting sustainable happiness (धर्म, अर्थ, काम, मोक्ष ) To be able to do the right things (धर्म), ...