How can we invent new certain knowledge in a methodical manner? This question stands at the
heart of Salomon Maimon's theory of invention. Chikurel argues that Maimon's contribution to
the ars inveniendi tradition lies in the methods of invention which he prescribes for
mathematics. Influenced by Proclus' commentary on Elements these methods are applied on
examples taken from Euclid's Elements and Data. Centering around methodical invention and
scientific genius Maimon's philosophy is unique in an era glorifying the artistic genius
known as Geniezeit. Invention primarily defined as constructing syllogisms has implications
on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces
Maimon's notion of analysis in the broader sense grounded not only on the principle of
contradiction but on intuition as well. In philosophy ampliative analysis is based on Maimon's
logical term of analysis of the object a term that has yet to be discussed in Maimonian
scholarship. Following its introduction a new version of the question quid juris? arises. In
mathematics Chikurel demonstrates how this conception of analysis originates from practices of
Greek geometrical analysis.
