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What he discussed with the women of Croton A Greek city in Southern Italy where Pythagoras established his school in the Temple of Juno during his first voyage. Ch. XI.

What his discussion about philosophy was; and how he was the first to call himself a "philosopher" original: philosophum; tradition holds that Pythagoras coined the term, meaning "lover of wisdom," rather than claiming to be a "sage", and for what reason. Ch. XII.

That Pythagoras had the power to instruct even irrational animals original: bruta and other living creatures through reason; and many accounts regarding these things. Ch. XIII.

He made the recollection original: reminiscentiam, referring to the doctrine of anamnesis, where the soul remembers knowledge from previous lives of prior lives the beginning of education: how souls lived before they entered into bodies, and where they resided at that time. Ch. XIV.

What the first introduction to education through the senses was for him; and how he corrected the souls of his companions through music; and how he held this correction as a rule for his sect. Ch. XV.

What the purifying exercise was for him, which he himself practiced with everyone; and which, moreover, was a more perfect cultivation of friendship, preparing those who were fit for philosophy. Ch. XVI.

How Pythagoras tested his friends when they first approached him, and what tests he used regarding their character original: morum before their introduction to philosophy. Ch. XVII.

Into how many classes and in what way Pythagoras distributed his companions, and for what reasons he distinguished them. Ch. XVIII.

How Pythagoras discovered many ways of useful education for men; in which his association with them is said to be profound; and how he led them to supreme wisdom through other ways of education. Ch. XIX.

What the proper exercises of Pythagorean philosophy are; and how Pythagoras himself handed them down; and how he constantly trained those undertaking philosophy. Ch. XX.

Concerning the exercises and daily cares that Pythagoras established; and how he provided for his friends to act diligently throughout the whole day; and certain exhortations consistent with these exercises. Ch. XXI.

What the method of education was through Pythagorean denials original: negationes, likely referring to the ritual silences and abstinences required of initiates extended into life and human undertakings. Ch. XXII.