数学是研究现实世界的空间形式和数量关系的科学。
Mathematics is the science of space form and the quantity relation that studies modern world.
数学思想是人脑对现实世界的空间形式和数量关系的本质的反映，是思维加工的产物。
Mathematical thought is the reflection of quantitative relations and spatial forms of reality in human brain, and it is the thought processing product.
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