A Treatise on Probability is a book published by John Maynard Keynes while at Cambridge University in 1921. The Treatise attacked the classical theory of probability and proposed a "logical-relationist" theory instead. In a 1922 review, Bertrand Russell, the co-author of Principia Mathematica, called it "undoubtedly the most important work on probability that has appeared for a very long time," and said that the "book as a whole is one which it is impossible to praise too highly." The Treatise is fundamentally philosophical in nature despite extensive mathematical formulations. The Treatise presented an approach to probability that was more subject to variation with evidence than the highly quantified classical version. Keynes's conception of probability is that it is a strictly logical relation between evidence and hypothesis, a degree of partial implication. Keynes's Treatise is the classic account of the logical interpretation of probability (or probabilistic logic), a view of probability that has been continued by such later works as Carnap's Logical Foundations of Probability and E.T. Jaynes Probability Theory: The Logic of Science. Keynes saw numerical probabilities as special cases of probability, which did not have to be quantifiable or even comparable. Keynes, in chapter 3 of the "A Treatise on Probability", used the example of taking an umbrella in case of rain to express the idea of uncertainty that he dealt with by the use of interval estimates in chapters 3, 15, 16, and 17 of the "A Treatise on Probability". Intervals that overlap are not greater than, less than or equal to each other. They can't be compared. Is our expectation of rain, when we start out for a walk, always more likely than not, or less likely than not, or as likely as not? I am prepared to argue that on some occasions none of these alternatives hold, and that it will be an arbitrary matter to decide for or against the umbrella. If the barometer is high, but the clouds are black, it is not always rational that one should prevail over the other in our minds, or even that we should balance them, though it will be rational to allow caprice to determine us and to waste no time on the debate. (Wikipedia).
Probability and Statistical Inference
This book is titled Probability and Statistical Inference. It was written by Hogg and Tanis. This book contains tons of statistics and probability that is useful for anyone who wants to learn these subjects. Here is a newer edition: https://amzn.to/3JUVWyP Here is another: https://amzn.t
From playlist Book Reviews
Statistics: Ch 4 Probability in Statistics (20 of 74) Definition of Probability
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the “strict” definition of experimental (empirical) and theoretical probability. Next video in this series can be seen
From playlist STATISTICS CH 4 STATISTICS IN PROBABILITY
What Is Probability? Difficulties Understanding Probability
Professor David Wallace discusses the nature of probability and some of the philosophical puzzles that arise regarding how to understand and make sense of probability. He begins by distinguishing between subjective probabilities (which are about our beliefs) and objective probabilities (wh
From playlist Logic & Philosophy of Mathematics
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Ch. 9 - Theoretical Probability (IB Math Studies)
Join me on Twitter: http://twitter.com/WhatDaMath Hello and welcome to What Da Math This video is an introduction to Theoretical Probability from Chapter 9 and explains difference between this and Experimental Probability, as well as touches on complementary probability, 2D grids and pro
From playlist IB Math Studies Chapter 9
Statistics: Introduction (13 of 13) What is the Difference Between Statistics and Probability?
Visit http://ilectureonline.com for more math and science lectures! We will discuss the difference between statistics and probability. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . First video in this series can be seen at: https://youtu.be/C6jd
From playlist THE "WHAT IS" PLAYLIST
Conditional Probability: Bayes’ Theorem – Disease Testing (Table and Formula)
This video shows how to determine conditional probability using a table and using Bayes' theorem. @mathipower4u
From playlist Probability
Oxford 4b The Argument Concerning Induction
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Oxford 4a Relations, and a Detour to the Causal Maxim
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Ex: Determine Conditional Probability from a Table
This video provides two examples of how to determine conditional probability using information given in a table.
From playlist Probability
Oxford 1a Hume's Theory of Ideas and the Faculties
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Oxford 5a Of Skepticism with Regard to Reason
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
What is a conditional probability?
An introduction to the concept of conditional probabilities via a simple 2 dimensional discrete example. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm For more inform
From playlist Bayesian statistics: a comprehensive course
3. Locke: Equality, Freedom, Property and the Right to Dissent
Foundations of Modern Social Thought (SOCY 151) John Locke, a liberal thinker and near-contemporary of the conservative Hobbes, disputes Hobbes's thinking in some keys ways and builds on it in others. Locke starts his political theory with a notion of individuals in the state of nature
From playlist Foundations of Modern Social Theory with Iván Szelényi
John M. Keynes and Treatise on Probability - Prof. Simon Blackburn
Abstract To introduce Keynes’s Treatise on Probability in a short time I shall emphasize its remarkable scholarship; its debt to Russell’s logicism; and its pervasive scepticism about the possibility of applying mathematics to its subject. I then briefly consider the departure from logici
From playlist Uncertainty and Risk
Oxford 1c Hume's Faculty Psychology
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Oxford 4d Of the Necessary Connection
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
(PP 1.R) References for Probability and Measure theory
Suggested texts for a more thorough study of probability and measure theory. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy