摘要
数学基础中的直觉主义学派坚持逻辑依赖于数学,而数学建立在直觉和构造的基础上。直 觉主义在两个阶段的直觉、构造概念和无穷观上发生了重大变化。第二阶段的直觉主义观念在本体论和认 识论上是不一致的。笔者由此提出了要协调两个阶段的直觉概念、构造概念和无穷观。
Intuitionism insists that logic depends on mathematics,while math is based on intuition and construction. Its view has changed greatly at two stages,especially in the concepts of intuition, construction and infinity. Intuitionist view on ontology and epistemology is incoherent in some foundational points. This paper puts forward new views on these concepts to make the two stages compatible in the concept of intuition,that of construction,and the view of infinity.
出处
《学术研究》
CSSCI
北大核心
2005年第2期22-26,共5页
Academic Research
