Pythagorean mathematics · thesis 25.1

Thesis 25.1

Latin

Vnum, alteritas, et id quod est sunt causa numerorum: Vnum unitorum, alteritas generatiuorum, id quod est substantialium.

Copy-text: Farmer 1998, line 16891

Apparatus (Farmer): colon retained from 1486 edition

Colon retained from the 1486 edition (farmer1998:16912).

English

Number has three causes — the One, difference, and being: the One accounts for the unities, difference for the generative numbers, and being for the substantial numbers.

Latin 'alteritas' rendered 'difference' and 'id quod est' rendered 'being' rather than as fixed technical terms; the parallel clause structure of the Latin ('Vnum unitorum, alteritas generatiuorum, id quod est substantialium') is recast as three causal clauses in English; sense checked against farmer1998:16950.

Translation: machine-drafted 2026-09-26 by TRANSLATOR-T04b; sense checked against farmer1998:16950; awaiting human check

Attribution: reported according to the mathematics of Pythagoras (section 25 of the historical theses) · Pico's stance: reports

Farmer's cross-references

• 2>9 Illa dicitur actio immanens quae non est subiectiue in illo quod passiue per eam denominatur, et per hoc distinguitur a transeunte.