Logic of Science and Maximum Entropy Principle

• Main Authors: Chun-An Wu, 吳俊安
• Other Authors: Wen-Jer Tzeng
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/93374081717344059952

碩士 === 淡江大學 === 物理學系碩士班 === 98 === The main question of this work is to introduce Logic and maximum entropy principle. Different person may have different opinion when they face to an event, that’s because everybody will think subjectively. We must to avoid this when we are discussing science. We will discuss Bayes theorem and Logic in the first chapter, for the classical probability opinion we will know why Bayes theorem can help us to discuss science. And in the second and third chapter we will introduce the measure of uncertainty－information entropy and maximum entropy principle. Because of the subjectivity of prior probability distribution of Bayes theorem, we need maximum entropy principle to help us to get objectivity prior. And at last chapter we discuss another way to get objectivity prior, what’s called the principle of transformation groups. When we face a problem, principle of transformation groups tell us to find the symmetrization of this problem, and we require this problem is invariant under the symmetric transform. It is very easy way to help us to find the objectivity prior when our problem has high symmetrization. Discuss logic can help us to recognize science easily. We wish the maximum entropy principle may have a great success in statistical mechanics in the future.