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1

Picco, Pierre, and Jaime San Martin, eds. From Classical to Modern Probability. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8053-4.

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Daston, Lorraine. Classical probability in the Enlightenment. Princeton University Press, 1995.

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Daston, Lorraine. Classical probability in the Enlightenment. Princeton University Press, 1988.

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Yukich, Joseph E. Probability Theory of Classical Euclidean Optimization Problems. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0093472.

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Yukich, Joseph. Probability theory of classical Euclidean optimization problems. Springer, 1998.

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6

Athreya, Krishna B. Classical and Modern Branching Processes. Springer New York, 1997.

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7

Bolivar, A. O. Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit. Springer Berlin Heidelberg, 2004.

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8

1953-, Picco Pierre, San Martín Jaime, and C.I.M.P.A. (Center), eds. From classical to modern probability: CIMPA Summer School 2001. Birkhäuser, 2003.

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9

Picco, Pierre. From Classical to Modern Probability: CIMPA Summer School 2001. Birkhäuser Basel, 2003.

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10

Schinazi, Rinaldo B. Classical and Spatial Stochastic Processes. Birkhäuser Boston, 1999.

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11

Jumarie, Guy. Maximum entropy, information without probability and complex fractals: Classical and quantum approach. Kluwer Academic Publishers, 2000.

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12

Jumarie, Guy. Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach. Springer Netherlands, 2000.

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13

Van-Nam, Huynh, ed. Interval/probabilistic uncertainty and non-classical logics. Springer, 2008.

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14

Albeverio, S. Stochastics, Algebra and Analysis in Classical and Quantum Dynamics: Proceedings of the IVth French-German Encounter on Mathematics and Physics, CIRM, Marseille, France, February/March 1988. Springer Netherlands, 1990.

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15

Gorroochurn, Prakash. Classic Problems of Probability. John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118314340.

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Gorroochurn, Prakash. Classic problems of probability. John Wiley & Sons, 2012.

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17

Chorin, Alexandre J. Stochastic Tools in Mathematics and Science. 3rd ed. Springer New York, 2013.

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18

Daston, Lorraine. Classical Probability in the Enlightenment. Princeton University Press, 1988. http://dx.doi.org/10.1515/9781400844227.

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19

Probability: The Classical Limit Theorems. Cambridge University Press, 2014.

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20

From Classical to Modern Probability. Island Press, 2003.

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21

Probability: The Classical Limit Theorems. Cambridge University Press, 2014.

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22

Daston, Lorraine. Classical Probability in the Enlightenment. Princeton University Press, 1995.

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23

Picco, Pierre, and Jaime San Martin. From Classical to Modern Probability. Springer Basel AG, 2012.

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24

Probability: The Classical Limit Theorems. Cambridge University Press, 2014.

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25

Probability: The Classical Limit Theorems. Cambridge University Press, 2014.

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26

Daston, Lorraine. Classical Probability in the Enlightenment. Princeton University Press, 2021.

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27

Crowder, Martin J. Classical Competing Risks. Taylor & Francis Group, 2001.

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28

Yukich, Joseph E. Probability Theory of Classical Euclidean Optimization Problems. Springer London, Limited, 2006.

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29

Daston, Lorraine. Classical Probability in the Enlightenment, New Edition. Princeton University Press, 2023.

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30

Daston, Lorraine. Classical Probability in the Enlightenment, New Edition. Princeton University Press, 2023.

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31

(Editor), Pierre Picco, and Jaime San Martin (Editor), eds. From Classical to Modern Probability: CIMPA Summer School 2001 (Progress in Probability). Birkhauser, 2004.

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32

Martin, Jaime San, and Cimpa Summer School 200. From Classical to Modern Probability: Cimpa Summer School 2001 (Progress in Probability, 54.). Birkhauser, 2003.

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33

Classical competing risks. CRC Press, 2001.

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34

Bacciagaluppi, Guido. Quantum Probability. Edited by Alan Hájek and Christopher Hitchcock. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199607617.013.25.

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The topic of probability in quantum mechanics is rather vast. In this chapter it is discussed from the perspective of whether and in what sense quantum mechanics requires a generalization of the usual (Kolmogorovian) concept of probability. The focus is on the case of finite-dimensional quantum mechanics (which is analogous to that of discrete probability spaces), partly for simplicity and partly for ease of generalization. While the main emphasis is on formal aspects of quantum probability (in particular the non-existence of joint distributions for incompatible observables), the discussion re
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35

V, Kalinin. Investigations in Classical Problems of Probability Theory and Mathematical Statistics. Springer, 2012.

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36

Schinazi, Rinaldo B. Classical and Spatial Stochastic Processes: With Applications to Biology. Springer New York, 2014.

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37

Anjum, Rani Lill, and Stephen Mumford. Calculating Conditional Probability? Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198733669.003.0021.

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When dealing with probability in causal claims, conditional reasoning seems unavoidable since we will want to know the probability of an effect, if the cause occurs. Conditional probability is typically defined in terms of the ratio of the unconditional probabilities of the elements. But when it comes to cause and effect, there are good reasons to think that this does not hold and that the conditional probability is primitive. It can be shown that a number of problematic but valid inferences from classical logic reproduce in the calculation of conditional probability if the ratio analysis is e
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38

Parthasarathy, Harish. Advanced Classical and Quantum Probability Theory with Quantum Field Theory Applications. CRC Press LLC, 2022.

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39

Blower, Dr David J. Information Processing: Boolean Algebra, Classical Logic, Cellular Automata, and Probability Manipulation. CreateSpace Independent Publishing Platform, 2011.

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40

Parthasarathy, Harish. Advanced Classical and Quantum Probability Theory with Quantum Field Theory Applications. Taylor & Francis Group, 2022.

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41

Parthasarathy, Harish. Advanced Classical and Quantum Probability Theory with Quantum Field Theory Applications. Taylor & Francis Group, 2022.

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42

Parthasarathy, Harish. Advanced Classical and Quantum Probability Theory with Quantum Field Theory Applications. Taylor & Francis Group, 2022.

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43

Abraham de Moivre: Setting the Stage for Classical Probability and Its Applications. CRC Press LLC, 2011.

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44

M, Kalinin V. Investigations in Classical Problems of Probability Theory and Mathematical Statistics: Part I. Springer, 2013.

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45

Fischer, Hans. History of the Central Limit Theorem: From Classical to Modern Probability Theory. Springer, 2010.

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46

Bhat, B. V. Rajarama, Johan Kustermans, J. Martin Lindsay, David Applebaum, and Michael Schuermann. Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus. Springer London, Limited, 2005.

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47

Abraham de Moivre: Setting the Stage for Classical Probability and Its Applications. CRC Press LLC, 2011.

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48

Abraham De Moivre: Setting the stage for classical probability and its applications. CRC Press, 2011.

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49

Thurner, Stefan, Rudolf Hanel, and Peter Klimekl. Probability and Random Processes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821939.003.0002.

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Phenomena, systems, and processes are rarely purely deterministic, but contain stochastic,probabilistic, or random components. For that reason, a probabilistic descriptionof most phenomena is necessary. Probability theory provides us with the tools for thistask. Here, we provide a crash course on the most important notions of probabilityand random processes, such as odds, probability, expectation, variance, and so on. Wedescribe the most elementary stochastic event—the trial—and develop the notion of urnmodels. We discuss basic facts about random variables and the elementary operationsthat can
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50

Petrina, D. Ya, V. I. Gerasimenko, and P. V. Malyshev. Mathematical Foundations of Classical Statistical Mechanics (Advanced Studies in Contemporary Mathematics). 2nd ed. CRC, 2002.

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