The missing parts of the sequence are likely referring to the 6 auxiliary disciplines (Vedangas) that support the study of the Vedas. Following "Jyothisha" and "Nirukta," the next three would be "Vyakarana," "Shiksha," and "Kalpa". The full sequence is: Jyotisha, Nirukta, Vyakarana, Shiksha, Kalpa, and Chandas.
https://en.wikipedia.org/wiki/Vedanga
The Vedanga (Sanskrit: वेदाङ्ग vedāṅga, "limb of the Veda-s";[1] plural form: वेदाङ्गानि vedāṅgāni) are six auxiliary disciplines of Vedic studies that developed in Vedic and post-Vedic times.
List of the Vedanga
Shiksha (Sanskrit: शिक्षा śikṣā, "instruction, teaching"): phonetics, phonology, pronunciation.[2] This auxiliary discipline has focused on the letters of the Sanskrit alphabet, accent, quantity, stress, melody and rules of euphonic combination of words during a Vedic recitation.[3][4]
Chanda (Sanskrit: छन्द chanda, "metre"): prosody.[5] This auxiliary discipline has focused on the poetic meters, including those based on fixed number of syllables per verse, and those based on fixed number of morae per verse.[6][7]
Vyakarana (Sanskrit: व्याकरण vyākaraṇa, "grammar"): grammar and linguistic analysis.[8][9][10] This auxiliary discipline has focused on the rules of grammar and linguistic analysis to establish the exact form of words and sentences to properly express ideas.[11][12]
Nirukta (Sanskrit: निरुक्त nirukta, "etymology"): etymology, explanation of words, particularly those that are archaic and have ancient uses with unclear meaning.[13] This auxiliary discipline has focused on linguistic analysis to help establish the proper meaning of the words, given the context they are used in.[11]
Kalpa (Sanskrit: कल्प kalpa, "proper. fit"): ritual instructions.[2] This field focused on standardizing procedures for Vedic rituals, rites of passage rituals associated with major life events such as birth, wedding and death in family, as well as discussing the personal conduct and proper duties of an individual in different stages of his life.[14]
Jyotisha (Sanskrit: ज्योतिष jyotiṣa, "astrology"): Right time for rituals with the help of position of nakshatras and asterisms[2] and astronomy.[15][16] This auxiliary Vedic discipline focused on time keeping.[17][18]
https://en.wikipedia.org/wiki/Hindu_philosophy
The 6 major systems of Indian philosophy, often called Sad Darshana, are Nyaya, Vaisheshika, Samkhya, Yoga, Mimamsa, and Vedanta. These systems, part of the broader Hindu philosophical tradition, focus on different aspects of reality, knowledge, and the path to liberation, while all accepting the authority of the Vedas.
Here's a brief overview of each system:
Nyaya:
Emphasizes logic and reasoning as tools for understanding the nature of reality. It focuses on epistemology and the means of acquiring knowledge.
Vaisheshika:
Deals with metaphysics and epistemology, proposing the existence of atoms and their combinations to form matter.
Samkhya:
Analyzes the nature of matter and consciousness, proposing the dualism of Prakriti (matter) and Purusha (consciousness).
Yoga:
Focuses on the discipline of self-realization through various techniques, such as meditation and physical postures, aimed at uniting the individual self with the universal self.
Mimamsa (Purva Mimamsa):
Interprets and analyzes the Vedic texts, particularly the rituals and duties prescribed in them.
Vedanta (Uttara Mimamsa):
Explores the ultimate nature of reality and the self, based on the Upanishads, which are part of the Vedas
The schools of thought or Darshanas within Hindu philosophy largely equate to the six ancient orthodox schools: the āstika (Sanskrit: आस्तिक) schools, defined by their acceptance of the Vedas, the oldest collection of Sanskrit texts, as an authoritative source of knowledge.[2][note 1][note 2] Of these six, Samkhya (सांख्य) is the earliest school of dualism; Yoga (योग) combines the metaphysics of Samkhya with meditation and breath techniques; Nyaya (न्याय) is a school of logic emphasising direct realism; Vaisheshika (वैषेशिक) is an offshoot of Nyaya concerned with atomism and naturalism; Mimamsa (मीमांसा) is a school justifying ritual, faith, and religious obligations; and Vedanta (वेदान्त) contains various traditions that mostly embrace nondualism