# Popper’s Falsification and Corroboration from the Statistical Perspectives

@article{Lee2020PoppersFA, title={Popper’s Falsification and Corroboration from the Statistical Perspectives}, author={Youngjo Lee and Yudi Pawitan}, journal={arXiv: Other Statistics}, year={2020} }

The role of probability appears unchallenged as the key measure of uncertainty, used among other things for practical induction in the empirical sciences. Yet, Popper was emphatic in his rejection of inductive probability and of the logical probability of hypotheses; furthermore, for him, the degree of corroboration cannot be a probability. Instead he proposed a deductive method of testing. In many ways this dialectic tension has many parallels in statistics, with the Bayesians on logico…

## References

SHOWING 1-10 OF 61 REFERENCES

Psychology and Philosophy I.—on the Relation between Induction and Probability—(part I.)

- Philosophy

IN the present paper I propose to try to prove three points, which, if they can be established, are of great importance to the logic of inductive inference. They are (1) that unless inductive…

Probability, confirmation, and the conjunction fallacy

- Philosophy
- 2008

The conjunction fallacy has been a key topic in debates on the rationality of human reasoning and its limitations. Despite extensive inquiry, however, the attempt to provide a satisfactory account of…

On the Problem of the Most Efficient Tests of Statistical Hypotheses

- Mathematics
- 1933

The problem of testing statistical hypotheses is an old one. Its origin is usually connected with the name of Thomas Bayes, who gave the well-known theorem on the probabilities a posteriori of the…

Inverse Probability

- MathematicsNature
- 1935

IN my letter1 of May 4, I was not defending Eddington's solution of his problem in inverse probability, but was attacking Dr. Dingle's discussion2 of his own simplified problem: If A and D each speak…

Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment

- Psychology
- 1983

Perhaps the simplest and the most basic qualitative law of probability is the conjunction rule: The probability of a conjunction, P (A&B) cannot exceed the probabilities of its constituents, P (A)…

The "conjunction fallacy" revisited : How intelligent inferences look like reasoning errors

- Psychology
- 1999

It is concluded that a failure to recognize the human capacity for semantic and pragmatic inference can lead rational responses to be misclassified as fallacies.

J. B. S. Haldane's Contribution to the Bayes Factor Hypothesis Test

- History
- 2015

This article brings attention to some historical developments that gave rise to the Bayes factor for testing a point null hypothesis against a composite alternative. In line with current thinking, we…

Probability theory: the logic of science

- Physics
- 2005

This is a remarkable book by a remarkable scientist. E. T. Jaynes was a physicist, principally theoretical, who found himself driven to spend much of his life advocating, defending and developing a…

A Philosophical Essay On Probabilities

- Philosophy
- 1902

Pierre-Simon Laplace (1749-1827) is remembered amoung probabilitists today particularly for his "Theorie analytique des probabilites", published in 1812. The "Essai philosophique dur les…

Extended likelihood approach to large‐scale multiple testing

- Mathematics
- 2013

To date, only frequentist, Bayesian and empirical Bayes approaches have been studied for the large‐scale inference problem of testing simultaneously hundreds or thousands of hypotheses. Their…