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An Introduction to Game Theory by Martin J. Osborne

A Course in Game Theory by Martin J. Osborne

Computational Game Theory (University of Oxford)

7 books — 3 voters

Foundations of Modern Probability by Olav Kallenberg

An Introduction to Probability Theory and Its Applications, V... by William Feller

Introduction to Probability by Joseph K. Blitzstein

Probability and Stochastic Processes (MMath)

50 books — 6 voters

Introducing Game Theory and its Applications by Kenneth H. Rosen

The Compleat Strategyst by J.D. Williams

Theory of Games and Statistical Decisions by David A. Blackwell

Statistical Decision Theory and Bayesian Analysis by James O. Berger

M3S11/M4S11 Games, Risks and Decisions (Imperial College London)

15 books — 2 voters

Linear Algebra and Its Applications by Gilbert Strang

Div, Grad, Curl, and All That by Harry M. Schey

Mathematics Part IA (University of Cambridge)

66 books — 3 voters

I Will Always Write Back by Caitlin Alifirenka

Recipe for a Perfect Wife by Karma Brown

Books with actuaries

9 books — 1 voter

High-Dimensional Probability by Roman Vershynin

A Geometric Approach to Differential Forms by David Bachman

Manifolds, Tensors, and Forms by Paul Renteln

A not-so-gentle introduction to information geometry: probability, statistics, information theory, and differential geometry

58 books — 4 voters

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Quotes Tagged “Probability”

“ If nature has taught us anything it is that the impossible is probable ”
― Ilyas Kassam

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“ 4. Religion. Your reason is now mature enough to examine this object. In the first place, divest yourself of all bias in favor of novelty & singularity of opinion... shake off all the fears & servile prejudices, under which weak minds are servilely crouched. Fix reason firmly in her seat, and call to her tribunal every fact, every opinion. Question with boldness even the existence of a God; because, if there be one, he must more approve of the homage of reason, than that of blindfolded fear. You 4. Religion. Your reason is now mature enough to examine this object. In the first place, divest yourself of all bias in favor of novelty & singularity of opinion... shake off all the fears & servile prejudices, under which weak minds are servilely crouched. Fix reason firmly in her seat, and call to her tribunal every fact, every opinion. Question with boldness even the existence of a God; because, if there be one, he must more approve of the homage of reason, than that of blindfolded fear. You will naturally examine first, the religion of your own country. Read the Bible, then as you would read Livy or Tacitus. The facts which are within the ordinary course of nature, you will believe on the authority of the writer, as you do those of the same kind in Livy and Tacitus. The testimony of the writer weighs in their favor, in one scale, and their not being against the laws of nature, does not weigh against them. But those facts in the Bible which contradict the laws of nature, must be examined with more care, and under a variety of faces. Here you must recur to the pretensions of the writer to inspiration from God. Examine upon what evidence his pretensions are founded, and whether that evidence is so strong, as that its falsehood would be more improbable than a change in the laws of nature, in the case he relates. For example in the book of Joshua we are told the sun stood still several hours. Were we to read that fact in Livy or Tacitus we should class it with their showers of blood, speaking of statues, beasts, &c. But it is said that the writer of that book was inspired. Examine therefore candidly what evidence there is of his having been inspired. The pretension is entitled to your inquiry, because millions believe it. On the other hand you are astronomer enough to know how contrary it is to the law of nature that a body revolving on its axis as the earth does, should have stopped, should not by that sudden stoppage have prostrated animals, trees, buildings, and should after a certain time have resumed its revolution, & that without a second general prostration. Is this arrest of the earth's motion, or the evidence which affirms it, most within the law of probabilities? You will next read the New Testament. It is the history of a personage called Jesus. Keep in your eye the opposite pretensions: 1, of those who say he was begotten by God, born of a virgin, suspended & reversed the laws of nature at will, & ascended bodily into heaven; and 2, of those who say he was a man of illegitimate birth, of a benevolent heart, enthusiastic mind, who set out without pretensions to divinity, ended in believing them, and was punished capitally for sedition, by being gibbeted, according to the Roman law, which punished the first commission of that offence by whipping, & the second by exile, or death in fureâ. ...Do not be frightened from this inquiry by any fear of its consequences. If it ends in a belief that there is no God, you will find incitements to virtue in the comfort and pleasantness you feel in its exercise, and the love of others which it will procure you... In fine, I repeat, you must lay aside all prejudice on both sides, and neither believe nor reject anything, because any other persons, or description of persons, have rejected or believed it... I forgot to observe, when speaking of the New Testament, that you should read all the histories of Christ, as well of those whom a council of ecclesiastics have decided for us, to be Pseudo-evangelists, as those they named Evangelists. Because these Pseudo-evangelists pretended to inspiration, as much as the others, and you are to judge their pretensions by your own reason, and not by the reason of those ecclesiastics. Most of these are lost... [Letter to his nephew, Peter Carr, advising him in matters of religion, 1787] ...more ”
― Thomas Jefferson, Letters of Thomas Jefferson

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