| 数学与逻辑的关系及其发展过程中的相互作用 |
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| 引用本文： | 刘燚. 数学与逻辑的关系及其发展过程中的相互作用[J]. 宝鸡文理学院学报(自然科学版), 2004, 24(1): 15-18 |
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| 作者姓名： | 刘燚 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 关于数学与逻辑的关系存在着逻辑主义和直觉主义2种观点，逻辑主义学派认为数学可以化归于逻辑，直觉主义学派认为逻辑可化归于数学。利用现代认识论的思想，论述了数学与逻辑之间的同一性、互补性和差异性，并对它们在发展过程中的相互作用进行了比较全面而深刻的揭示。
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| 关 键 词： | 数学 逻辑 逻辑主义 直觉主义 |
| 文章编号： | 1007-1261(2004)01-0015-04 |
| 修稿时间： | 2003-06-18 |
Relationship between mathematics and logic & the interaction in their development |
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| LIU Yi. Relationship between mathematics and logic & the interaction in their development[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2004, 24(1): 15-18 |
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| Authors: | LIU Yi |
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| Abstract: | There are two standpoints on relationship between mathematic and logic:logicalism and intuitionism.The logiclism hold that mathematics derives from logic,but intuitionism holds that logic derives from mathematics.It is discussed with based on the thought of modern epistemology that their identity,difference and intercomplements and aims to reveals the interaction in their development. |
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| Keywords: | mathematics logic logicalism intuitionism |
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