Plato’s Philosophy of Mathematics: ἀριθμητική (Arithmetic), λογιστική (Logistikē) and γεωμετρία (Geometry) as ‘Spiritual’ Mathematics
This thesis examines the nature and purpose of the Greek sciences ἀριθμητική, λογιστική and γεωμετρία in the texts of Plato. The statements of some other ancient authors are also mentioned, and the relevant modern research is consulted. ἀριθμός is at any instance, as Klein has already noted, ‘a definite number of definite objects’. In Plato’s philosophical ἀριθμητική, ἀριθμός seems to always consi
