Abstract
Time is a concept that can be defined by means of other primitive concepts in some of the most important classical physical theories. In this paper we discuss about some problems associated to this result.
Highlights
From the point of view of applications of the axiomatic method, for example in the foundations of physics, it is easier to assume that our mathematical systems and structures are contructed in set theory [4]
It is important to recall that, according to the theory of definition of Lesniewski [12], a definition should satisfy the criterion of eliminability
According to the last theorem, we introduce the following definition: Definition 2 In a topological space X, T, we can define X as it follows: X=
Summary
In the present section we use Padoa’s principle in topology, as an example to ilustrate our ideas. The standard definition of a topological space is as follows: Definition 1 A topological space is an ordered pair X, T , such that the following axioms are satisfied: T1 X is a set. In that case it would be possible to show two models M1 and M2 for the given topological space where the topology T corresponds to the same interpretation, but X allows at least two different interpretations. We can define topological space by means of its topology only: Definition 3 A topological space is a set T , such that the following axioms are satisfied: NT1 T is a set whose elements are sets. Topology is indispensable, but the topological space X is a derived concept
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
