数学直觉主义

在数学哲学上，彭加勒在发现了数学悖论的情况下复活了直觉主义，并且形成了广泛的运动，他的立场使他成为数学直觉主义学派的先驱。

On the mathematics Philosophy , in the case of discovering the mathematical paradox Poincare revives the intuitionism , and form a wide range of developments , his position made him became a mathematical intuitionism pioneer .

论数学哲学中的直觉主义思想

On the Intuitionistic Thought in Mathematical Philosophy

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。

Intuitionism insists that logic depends on mathematics , while math is based on intuition and construction .

数学哲学中的直觉主义学派高度重视直觉和个人的创造性思维在科学实践中的作用，这具有积极的意义；

This paper discusses the intuitionistic theory and thought in mathematical philosophy . Intuitionism highly values intuition and personal creative thinking in scientific practice .

彭加勒对逻辑主义预期理由的批判，对数学对象存在性的辩护和对实无穷假设的反对，都为数学哲学中直觉主义学派的发展开辟了道路。

Poincare 's criticism onthe expected reason , justification for the existence of mathematical object and opposition to the postulate of real infinite provide the developmental approach for the intuitionism in philosophy of mathematics .