The Theosophical Society was founded in 1875 and its main objective was to promote spiritual enlightenment and knowledge. It aimed to explore and study various religious and philosophical traditions from around the world. The Theosophical Society endorsed several principles, but one of them was not propagated by the society.

Option 1: Belief in Karma and Rebirth - This principle suggests that the consequences of one`s actions in this life will affect future lives. The Theosophical Society did propagate this belief, as it drew inspiration from various Eastern philosophies and religions that emphasized the concept of karma and rebirth.

Option 2: Belief in Universal Brotherhood and Humanity - This principle was strongly propagated by the Theosophical Society. It aimed to foster a sense of unity and compassion among all human beings, regardless of their race, religion, or social status.

Option 3: Belief in Vedantic Philosophy - The Theosophical Society also propagated the belief in Vedantic philosophy. Vedanta is a school of Hindu philosophy that explores the nature of reality and the self. The society drew inspiration from Hinduism, Buddhism, and other Eastern philosophies.

Option 4: Belief in the Eradication of Untouchability - This principle was not propagated by the Theosophical Society