[转载] 科学,哲学和数学的关系

转注：许多年前我学了很久的数学才有一天明白数学和科学不是一回事，后面我又认识到科学有可证伪一说，今天我看到这个作者对科学,哲学,数学的关系的清晰的表述，原来如此，简短而又清晰。转之。

Title: Abuse of Notation - writings on math, logic, philosophy and art

URL Source: https://abuseofnotation.github.io/science-philosophy-math/

Science philosophy and mathematics

Science is just a subdiscipline of philosophy, the scientific method is an application to what philosophers call critical thinking.

Critical thinking is just asking yourself the question “What would be the consequence if a given thing that we accept as true is actually false?” over and over again.

The scientific method is the practice of applying this question to empirical observations.

Mathematics is another subdiscipline of philosophy that studies how far can you go once you accept a given set of postulates as true (while the rest of philosophy is mostly concerned with which things are true).

So science is mathematics + a little philosophy. This came because I learned that when writing “Principia Mathematica”, Newton was influenced by two books - “Principia Philosophiæ” by Rene Descartes, from which he took the subject matter (and the name) and “The Elements” by Euclid, from which he took the method of reasoning.

Written on August 9, 2022