This essay proposes a close look at the tradition of martyr-philosophers in the Western world (Socrates, Hypatia, Giordano Bruno, Edith Stein, Jan Patoka) and advances the claim that the death of these people has a distinct philosophical significance. For various reasons, these philosophers place themselves in limit-situations where they cannot use words anymore to express themselves, but have to turn their own flesh into a radical means of expression. Their dying thus becomes an extension of their work, and the image of their violent deaths comes to be regarded as an inseparable part of their heritage. First, I discuss Socrates as the founder of the tradition of “philosophical deaths” in the West; his gradual “taming” of death in Plato's Apology is discussed in some detail. I then introduce a modern case of “Socratic death,” that of Jan Patoka (1907-77). Finally, I map out the cultural and social mechanisms, as well as some of the phenomenological preconditions, presupposed by the notion of “philosophy as an art of dying.”