Dukkha is a term used to refer to suffering or dissatisfaction, rather than liberation.

The Upanishads teach that the ultimate goal of human life is to attain moksha, or liberation from the cycle of birth and rebirth.

Nyaya is a philosophical school that emphasizes the importance of knowledge and logic as a means to liberation.

The Bhagavad Gita teaches that there are multiple paths to liberation, including the path of action, the path of devotion, and the path of knowledge.

Liberation in Indian philosophy is characterized by freedom from suffering and dissatisfaction, attainment of eternal bliss and happiness, and union with the divine or ultimate reality, not by continued existence in the cycle of birth and rebirth.

According to the Buddhist tradition, suffering is caused by attachment to material possessions, ignorance of the true nature of reality, and desire for sensual pleasures.

Performing rituals and sacrifices is not a means to liberation in Buddhist philosophy.

The Jain tradition teaches that the ultimate goal of human life is to attain moksha, or liberation from the cycle of birth and rebirth.

Materialism is not a principle of Jainism.

The Sikh tradition teaches that the path to liberation involves following the teachings of the Guru Granth Sahib, practicing meditation and mindfulness, and living a life of service and compassion.

Liberation in Sikh philosophy is characterized by union with the divine or ultimate reality, freedom from suffering and dissatisfaction, and attainment of eternal bliss and happiness, not by continued existence in the cycle of birth and rebirth.

Advaita Vedanta teaches that the ultimate reality is Brahman, the infinite and eternal consciousness.

Rituals and sacrifices are not a means to liberation in Advaita Vedanta.

Dvaita Vedanta teaches that Brahman and Atman are distinct, but that Atman is dependent on Brahman for its existence.

Study of the scriptures is not a means to liberation in Dvaita Vedanta.