The Origin of Probability and Entropy
Kevin H. Knuth, Marcelo de Souza Lauretto, Carlos Alberto de Bragança Pereira, Julio Michael Stern · AIP conference proceedings · 2008
Abstract. Measuring is the quantification of ordering. Thus the process of ordering elements of a set is a more fundamental activity than measuring. Order theory, also known as lattice theory, provides a firm foundation on which to build measure theory. The result is a set of new insights that cast probability theory and information theory in a new light, while simultaneously opening the door to a better understanding of measures as a whole.