The development of physics, economics, finance and other disciplines belongs to the bottom mathematics. Only when mathematics is established can his theory have a foundation, and it is possible to create a new subject theory on this basis.
Let's look at the creeping European geometry.
Postulate 1: You can draw a straight line from any point to another point.
Postulate 2: A finite line segment can extend continuously.
Postulate 3: You can draw a circle with any point as the center and any distance.
Postulate 4: All right angles are equal to each other.
Axiom 1: Equal quantities are equal to each other.
Axiom 2: Equal amount plus equal amount, and its sum is equal.
Axiom 3: Equal amount MINUS equal amount, the difference is equal.
Axiom 4: congruence of objects that can coincide with each other.
Axiom 5: The whole is greater than the parts.
mathematics
These pupils know axioms and postulates, but they have written the first six thick original geometric books.
Let's look at the remaining fifth postulate: if two straight lines intersect with the third straight line, and the sum of the internal angles on the same side is less than two right angles, then the two straight lines must intersect on that side.
Many mathematicians want to use the first four postulates to derive the fifth postulate. Results After more than 2,000 years of hard work, it was finally proved that the fifth postulate could not be derived from the first four postulates.
Euclid inspired philosophers in Descartes' time, since we want to create great wisdom in life? Why not establish a rigorous theoretical system higher than everything in the world like Euclid? How nice it would be!
So let's go and have a look. Many awesome philosophers are actually mathematicians (for example, Newton, as we all know, wrote a book about the mathematical principles of natural philosophy. As long as you know this book, alas, the teacher speaks highly of you! )