The Logic of Chance, 3rd edition An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics

"The Logic of Chance, 3rd edition" by John Venn is a scientific publication written in the late 19th century. This work focuses on the foundations and theoretical aspects of probability, exploring its implications and applications in moral and social sciences, as well as statistics. The author aims to bridge the gap between mathematical probability and philosophical inquiry, arguing against the common perception that probability is merely a mathematical discipline devoid of substantive philosophical value. At the start of the text, Venn establishes the foundations of probability, emphasizing the importance of understanding the nature of series and how they relate to probability theory. He discusses the distinction between various types of assertions in natural phenomena, noting that while individual instances may appear chaotic, larger aggregates often reveal underlying patterns of regularity. Venn critiques the prevailing views of probability as purely mathematical, asserting that its principles are integral to broader philosophical discussions. He sets the stage for a rigorous exploration of probabilistic concepts, addressing misconceptions and laying the groundwork for the subsequent analysis of probabilistic laws and applications. (This is an automatically generated summary.)

John Venn, FRS, FSA was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in logic, set theory, probability, statistics, and computer science. In 1866, Venn published The Logic of Chance, a groundbreaking book which espoused the frequency theory of probability, arguing that probability should be determined by how often something is forecast to occur as opposed to "educated" assumptions. Venn then further developed George Boole's theories in the 1881 work Symbolic Logic, where he highlighted what would become known as Venn diagrams.