If you think that pure mathematics arises naturally or man-made?

Albert Einstein: "as far as the laws of mathematics refer to reality,they are not certain; and as far as they are certain, they do not refer to reality."

No, it does not come naturally. Mathematics is not a science. The most basic way I can put it, everything we know from mathematics has been more or less derived from "2+2=4". Its man-made, and does not require the "scientific method" for further research.

Mathematics is the same as other sciences, God's creation. However, people must find it by learning.

In my opinion, all knowledge is from God. so people just need to explore it.

Like language, math emerged natually. However, the development of math is man-made, since the modern mathematics is so complicated that it goes beyond our daily life.

Pure mathematics is the child of applied mathematics. Originally problems like "Bobby has 5 cows and sold 2 cows at market. How many cows does Bobby have now?" were common place then we needed an explanation past that so we came up with pure mathematics. Theories like number theory and combinatorics hold no ground outside the classroom or laboratory. So it is really a split answer. Applied mathematics is natural, and pure mathematics is man-made. But thats only my opinion.

Mathematics is only a science, which must be learned for the benefit of mankind to live. Albert Einstein: "as far as the laws of mathematics refer to reality, they are not sure; and how they identify, they do not refer to reality."