Nagarjuna, a Buddhist philosopher from the Madhyamaka school, is known for his significant contributions to the understanding of emptiness and the concept of dependent origination. His teachings have had a profound impact on the development of Mahayana Buddhism and continue to be studied and revered by followers of this tradition.

One of Nagarjuna's main contributions to the Madhyamaka school is his concept of "shunyata," or emptiness. He argued that all phenomena, including the self, are ultimately empty of inherent existence. This means that nothing has a permanent, unchanging essence and everything is interdependent and constantly changing. Nagarjuna's teachings on emptiness challenged the prevailing notion of a permanent self and encouraged practitioners to let go of attachments and see the world as it truly is.

In addition to his teachings on emptiness, Nagarjuna also emphasized the concept of dependent origination. He argued that all things arise in dependence on causes and conditions, and that nothing exists independently. This concept is closely related to his teachings on emptiness, as it further emphasizes the interconnectedness and impermanence of all phenomena.

Nagarjuna's teachings on emptiness and dependent origination were revolutionary in their time and continue to be highly influential in Buddhist philosophy today. They have been praised for their ability to help practitioners overcome suffering and achieve enlightenment. By understanding the impermanence and emptiness of all things, one can let go of attachments and desires, leading to a state of peace and liberation.

Furthermore, Nagarjuna's contributions to the Madhyamaka school also include his method of reasoning known as "prajnaparamita," or the perfection of wisdom. This method involves using logical arguments to deconstruct and challenge fixed views and concepts, ultimately leading to a deeper understanding of emptiness and dependent origination.

In conclusion, Nagarjuna's main contribution to the Madhyamaka school is his teachings on emptiness and dependent origination, which have had a profound impact on the development of Mahayana Buddhism. His ideas continue to be studied and practiced by followers of this tradition, and his legacy as a great philosopher and teacher lives on.