As I read, this seems to be a tough question, even for Philosophers. Other animals too do some maths concept. A prey understands concepts like bigger/larger/smaller concepts. If the number of predators are higher, it runs away. If it's smaller, it's tries to defend. It's possible that an animal knows to count, may be up to 3. To me zero, positive numbers and all the arithmetic using positive numbers and zero look as a discovery. Negative numbers, subtraction that results in a negative number looks like man-made. Another way to look at is modifying the question a bit. Mathematics is applied logic. Is logic man's (or anything with a brain) invention? Discuss.