12 条数学生成律
从"会数数"自然生长出整个数学宇宙
数与量
Counting → Place Value
"If you can count to 10, you can count to 100."
迭代与重复
Iteration → Recursion
"If you can repeat, you can predict."
逆与平衡
Inverse & Balance
"If you can do, you can undo."
结构与括号
Grouping → Structure
"If you can group, you can simplify."
映射与变量
Function → Rule
"If you can see a pattern, you can name it."
比例与缩放
Ratio → Scale
"If you can compare, you can scale."
变化与差分
Change → Rate
"If you can compare change, you can predict motion."
对称与变换
Symmetry → Transform
"If you can move it, you can see its invariance."
计数与可能
Counting → Probability
"If you can count possibilities, you can measure chance."
误差与聚合
Error → Statistics
"If you can measure variation, you can predict reality."
形到数
Geometry → Algebra
"If you can measure, you can express."
抽象与表示
Abstraction → Representation
"If you can express it differently, you can understand it deeply."