数学中的一致性、非平凡性和冗余性
Consistency, non triviality and redundancy in mathematics
摘要：
探讨了数学研究中一致性、非平凡性和冗余性的理性、形式和非形式准则。通过分析这些准则的不同概念，从逻辑形式准则到非形式准则（但仍是理性准则），我们展开了一个典型的讨论，并用从数学研究中得到的具体例子，特别是从最近50年来在确定性动力系统的数学理论中发表的结果来说明讨论。
英文摘要：
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 form the mathematical reseach, particularly from the results that were published in the last 50 years in the mathematical theory of deterministic dynamical systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
