11. The object of thought is deductive geometric systems, for which the learner compares axiomatic systems . 12. Is this still an equally valid axiomatic system : 13. Even when we ignore possible world semantics and stick to axiomatic systems , this peculiar feature holds. 14. BAN logic uses postulates and definitions like all axiomatic systems to analyze authentication protocols. 15. The set of all provable sentences in an effective axiomatic system is always a recursively enumerable set. 16. Mereology is a collection of nested and non-nested axiomatic systems , not unlike the case with modal logic. 17. G�del indicated one of the weak points of formalism by addressing the question of consistency in axiomatic systems . 18. What you SHOULD think is that it's total nonesense, it doesn't even try to look like an axiomatic system . 19. So, obviously a system of axioms which is the null set does not make for a very interesting axiomatic system . 20. His most important scholarly work, " Prkriya-sarvawom ", sets forth an axiomatic system elaborating on the classical system of Panini.