The Nyaya-Vaiseshika school is known for its emphasis on logic and epistemology, and its goal is to provide a comprehensive account of the world and our knowledge of it.

The Nyaya-Vaiseshika school is divided into two main branches: Nyaya, which focuses on logic and epistemology, and Vaiseshika, which focuses on metaphysics and natural philosophy.

Gautama is considered to be the founder of the Nyaya school. He is known for his work, the Nyaya Sutras, which is a foundational text of the Nyaya school.

The Nyaya school is primarily focused on logic and epistemology. It seeks to develop a system of logic that can be used to distinguish between valid and invalid arguments, and to provide a theory of knowledge that explains how we can acquire reliable knowledge of the world.

The Vaiseshika school is primarily focused on metaphysics and natural philosophy. It seeks to provide a comprehensive account of the world, including its fundamental constituents, the laws that govern it, and the nature of consciousness.

According to the Vaiseshika school, there are six categories of reality: substance, quality, action, generality, particularity, and inherence. These categories are used to describe the fundamental constituents of the world and their relationships to each other.

The Vaiseshika school proposed a theory of atomism, which states that the world is composed of indivisible and indestructible atoms. These atoms are the fundamental building blocks of the world, and they combine in various ways to form different substances and objects.

The Nyaya school proposed a theory of perception that states that perception is the direct and immediate awareness of an object. This means that perception is not mediated by the mind or any other mental process, but rather is a direct and unmediated experience of the object.

The Nyaya school identified four types of inference: deductive, inductive, abductive, and analogical. Deductive inference is the process of drawing a conclusion from a set of premises that are known to be true. Inductive inference is the process of drawing a general conclusion from a set of specific observations. Abductive inference is the process of drawing a conclusion from a set of premises that are not known to be true, but are considered to be plausible. Analogical inference is the process of drawing a conclusion from a similarity between two things.

The goal of the Nyaya-Vaiseshika school of philosophy is to provide a comprehensive account of the world and our knowledge of it. This includes providing an account of the fundamental constituents of the world, the laws that govern it, and the nature of consciousness.