Chapter 7 Axiomatics of Fundamental Theories of Modern Mathematics - ScienceDirectdoi:10.1016/S0049-237X(09)70320-9The need for an axiomatization is motivated by the aesthetic desire for a finished form or by a philosophic search for a high degree of mathematical rigor or a better insight into...
Protect your applications & data and deliver the benefit of a Zero Trust or Identity-first strategy to your critical security implementations.
Whether one sentence is an immediate consequence of another depends entirely on the structural elements (rather than the content words) occurring in those sentences. Anyone who understands those structural elements will be able to determine whether one sentence follows immediately from the other....
This chapter focuses on two different facets of axiomatics: 1. the formal-logical side, linked to careful, rigorous establishing of the inferential structure of a theory, and 2. the conceptual-mathematical side, often linked to the establishment of new interconnections in mathematics, or 'deeper'...
The Axiomatic Method in Modern Mathematicsdoi:10.1007/978-90-481-9416-2_15These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.Pollard, Stephen...