Consistency, Nontriviality and Redundancy in Mathematic
DOI:
https://doi.org/10.18270/rcfc.v17i34.2085Keywords:
formal and non-formal rationality, philosophy of mathematics, consistency, non-triviality, mathematical depth, mathematical redundancyAbstract
We explore the rational, formal and non-formal criteria of consistency, non-triviality and redundancy in the mathematical research now a days. We develop a paradigmatic discussion by analysing the different conceptions of those criteria, from the logic-formal ones to the non formal ones (but still rational criteria).We illustrate the discussion with concrete examples obtained from the mathematical research, particularly from the published results that were published in the last 50 years in the mathematical theory of deterministic dynamical systems.
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