Addressing crises raises a sharp reference-class problem in economics. Namely, economic theory lacks an inclusive and consistent classification of crises. This problem stems from the fact that economists tend to adapt their views on crises to recent episodes, and omit averted and potential...

Bernoulli’s (1713) well-known Law of Large Numbers (LLN) establishes a legitimate one-way transition from mathematical probability to observed frequency. However, Bernoulli went one step further and abusively introduced the inverse proposition. Based on a careful analysis of Bernoulli’s...

Economists have been blamed for their inability to forecast and address crises. This paper attributes this inability to intertwined factors: the lack of a coherent definition of crises, the reference class problem, the lack of imagination regarding the nature of future crises, and sample...

This paper sheds a new light on the gap between a priori and a posteriori probabilities by concentrating on the evolution of the mathematical concept. It identifies the illegitimate use of Bernoulli’s law of large numbers as the probabilists’ original sin. The resulting confusion on the...

The history of the mathematical probability includes two phases: 1) From Pascal and Fermat to Laplace, the theory gained in application fields; 2) In the first half of the 20th Century, two competing axiomatic systems were respectively proposed by von Mises in 1919 and Kolmogorov in 1933. This...

This paper investigates modern finance’s epistemological status with a special emphasis on its most quantitative part: Black-Scholes option pricing model and its extensions. It zeroes on the analysis of mathematical methods in financial economics and their connection to risk and uncertainty....