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What to do you mean by 'no intention of leading a married lfe? Where is it written that a married life must mean physical relations? Sri Ramakrishna Himslelf asked this question to someone who asked about the way He lived : Do you think Gods wishes that all would lead an animal-like worldly life?This is recorded in His Kathamrita.

Sri Ramakrishna married to set an example of renunciation while being married. He also told that marriage is needed because it is one of the ten compulsory sanskars. Swami Saradananda has recorded this in Sri Sri Ramakrishnaleeleprasanga.