 Like Socrates, Pythagoras wrote nothing himself, but had a great influence on those who followed him. He had a reputation for great learning and wisdom (see Empedocles DKD31B129/LM22.D38, R43), although he was treated satirically by both Xenophanes (DK21B7/LM8.D64) and Heraclitus (DK22B40/LM9D20, DKB129/LMD26). We do not know to what extent this included knowledge of mathematics, as would be suggested by the attribution to him of the famous Pythagorean theorem of geometry (Rowett 2013). The details of Pythagoras’ views are unclear, but he seems to have advocated the reincarnation of the soul (a novel idea among the Greeks, also developed in Orphic religion) and the possibility of the transmigration of the human soul after death into other animal forms. Pythagorean writers after his own time stressed the mathematical structure and order of the universe. This is often attributed directly to Pythagoras, but recent scholarship has shown that the evidence for attributing this mathematically-based cosmology to Pythagoras himself is convoluted and doubtful (Burkert 1972, Huffman 1993 and 2005; but see Zhmud 1997). 