摘要
作者在这篇文论中提出了一种实用主义的数学哲学观。其中的想法是,通过分析各种数学哲学思想对于数学实践的实际影响来比较它们的价值。为解释这种想法的可行性,作者将论证,正是数学的某些特性使得实用主义的方法能够被自然地运用于对数学哲学诸观点的分析。在之后的一节中,作者会给出一些案例分析以展示某些哲学观点是如何具体地影响数学研究的。文章的写作假设读者具备了一些关于经典逻辑和集合论的基础知识。
In this paper, the author will introduce a pragmatistic view on the philosophy of mathematics. The idea is to measure the positiveness of philosophical doctrines by measuring their consequence on mathematical practice. To defend the idea, the author will argue that the characters of mathematics make it a special field that the principle of pragmatism can be applied naturally. Some cases will be studied in the following section to give a vision of how philosophical standpoints impact on mathematical research. To maximize the understanding, some basic knowledge in classical logic and set theory is presumed.
出处
《逻辑学研究》
CSSCI
2012年第1期68-95,共28页
Studies in Logic
基金
supported by grants from 2012 Major project of the Humanities and Social Science Research Bases of the Ministry of Education: Studies of the Philosophy of Logic and Mathematics based on viewpoints of Mind and Cognition~~
