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Author Hehner, Eric C. R.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Probability Perspective ♦ Bold New Step ♦ Probability Problem ♦ Suitable Formalism ♦ Main Point ♦ Knowledge Change ♦ Information Theory Perspective ♦ Prior Probability ♦ Formal Perspective ♦ Bayesian Perspective ♦ Subjective Bayesian Perspective ♦ Main Criticism ♦ Hitherto Open Problem ♦ New Understanding
Abstract This paper draws together four perspectives that contribute to a new understanding of probability and solving problems involving probability. The first is the Subjective Bayesian perspective that probability is affected by one's knowledge, and that it is updated as one's knowledge changes. The main criticism of the Bayesian perspective is the problem of assigning prior probabilities; this problem disappears with our Information Theory perspective, in which we take the bold new step of equating probability with information. The main point of the paper is that the formal perspective (formalize, calculate, unformalize) is beneficial to solving probability problems. And finally, the programmer's perspective provides us with a suitable formalism. To illustrate the benefits of these perspectives, we completely solve the hitherto open problem of the two envelopes.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article