Not one of the writers just mentioned professes to have seen the famous “three books”;[752] but at a later date there were at least two works which claimed to represent them. Diels has shown how a treatise in three sections, entitled Παιδευτικόν, πολιτικόν, φυσικόν, was composed in the Ionic dialect and attributed to Pythagoras. It was largely based on the Πυθαγορικαὶ ἀποφάσεις of Aristoxenos, but its date is uncertain.[753] In the first century B.C., Demetrios Magnes was able to quote the opening words of the work published by Philolaos.[754] That, however, was written in Doric. Demetrios does not actually say it was by Philolaos himself, though it is no doubt the same work from which a number of extracts are preserved under his name in Stobaios and later writers. If it professed to be by Philolaos, that was not quite in accordance with the original story; but it is easy to see how his name may have become attached to it. We are told that the other book which passed under the name of Pythagoras was really by Lysis.[755] Boeckh has shown that the work ascribed to Philolaos probably consisted of three books also, and Proclus referred to it as the _Bakchai_,[756] a fanciful title which recalls the “Muses” of Herodotos. Two of the extracts in Stobaios bear it. It must be confessed that the whole story is very suspicious; but, as some of the best authorities still regard the fragments as partly genuine, it is necessary to look at them more closely. Footnote 752: As Mr. Bywater says (_J. Phil._ i. p. 29), the history of this work “reads like the history, not so much of a book, as of a literary _ignis fatuus_ floating before the minds of imaginative writers.” Footnote 753: Diels, “Ein gefälschtes Pythagorasbuch” (_Arch._ iii. pp. 451 sqq.). Footnote 754: Diog. viii. 85 (R. P. 63 b). Diels reads πρῶτον ἐκδοῦναι τῶν Πυθαγορικῶν <βιβλία καὶ ἐπιγράψαι Περὶ> Φύσεως. Footnote 755: Diog. viii. 7. Footnote 756: Proclus, _in Eucl._ p. 22, 15 (Friedlein). Cf. Boeckh, _Philolaos_, pp. 36 sqq. Boeckh refers to a sculptured group of _three_ Bakchai, whom he supposes to be Ino, Agaue, and Autonoe. [Sidenote: The “Fragments of Philolaos.”]