Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Jarosław Kaczmarek
Pages: [23] - [60]
Received Date: January 27, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121628
In this paper, we discuss methodology of constructing of physical theories. Within this methodology, one accentuates the problem how to estimate whether mathematics applied to description of physical processes really reflects reality. To this end status of assumptions introduced for theory which is constructed and status of theory are discussed. The term “status of theory” is introduced instead of the term “true theory”. This step allows us to estimate to what degree the theory approximates reality. The term “true” is seen as too radical for estimation of degree of this approximation. Discussion is carried out in context provided by evolving dynamical system which can realize cognition process. Within this approach, implication is associated with action of the dynamical system and by this differs from alternative, conjunction, and negation. We consider status of assumptions with respect to terms induced by dynamical systems, status of assumptions with respect to length of infering leading to introduction of these assumptions and status of theory as such having in mind its universality and fundamental properties. One discusses relation of experimental data and theories which interpret corresponding experimental results. Status of various assumptions and theories of contemporary theoretical physics is estimated as examples. Role of theories which have low status is considered in context of recognition of reality.
methodology of construction of physical theories, fitting of theory to reality, status of implication.
