There are  eighteen sciences which grace Philosophia Indica. They are 

Angani Vedaschathvaro Meemanso Nyaya Visthara
Puranam Dharma Saastram cha Vidya Hethva Chathurdsa
Ayurvedam Dhanurvedam Gandharvo Veda eva cha
Artha Saastra Chathurthascha Vidya Ashta Dasa Smritha

First the Science of Being as Being -Vedanta Sastra and the Second- the Science Of Cosmic Union, Yoga Sastra  The Holisitc Science of Life, Ayurveda, Science of Definition, Nirtkta, Phoenetics, Sabda Sastra, Science of Logic, Nyaya Sastra, Science of Atoms, Vaisesika, Wisdom of the Heavens, Jyothish, Science of the Heavens, SIddhanta,,

Pls join our FB Group, the  Sciences at https://www.facebook.com/groups/eighteensciences/

These are Intuitive Sciences, which are slightly different from the physical sciences and involve the added element of Intuition, along with Experimentation, Observation, Hypothesis, Generalisation and Classification ( which the physical sciences use ) ! The Sixfold Scientific Method !

The Eighteen Eternal Arts are

Kathakali, Mohiniattom, Kuchipudi, Bharata Natyam, Odissi, Sattriya, Kathak,Manipuri, Kalarippayattu, Ottam Thullal, Krishnanattom, Theyyam, Chakyar Koothu, Thiruvathirakali, Kavadiattom, Valekali, Koodiyattom and Kummattikali.