Fallacy of Division ; Circular Reasoning ; Extravagant Hypothesis .

edit The hypothesis is that the coin is fair and statistic is the probability of occurring the sequence. I can compute the probability of occurred sequence from the hypothesis. For any sufficiently long sequence, the theoretical probability is too low and, therefore, fairness must be rejected. Where is the fallacy?

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Articles Of Contrary To Facts Hypothesis Fallacy

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Logical Fallacy Blog: 'Hasty' 'Hypothesis' 'Sequit' Happy Teachers ..

wrote:

I'm having trouble understanding the difference between the two proof
fallacies "affirming the conclusion" and "denying the hypothesis".

Protecting the hypothesis fallacy by Aurelia Pugh - issuu

AB - In his classic article on the fallacy of the null hypothesis in soft psychology [J. Consult. Clin. Psychol. 46 (1978)], Paul Meehl claimed that, in nonexperimental settings, the probability of rejecting the null hypothesis of nil group differences in favor of a directional alternative was 0.50-a value that is an order of magnitude higher than the customary Type I error rate. In a series of real data simulations, using Minnesota Multiphasic Personality Inventory-Revised (MMPI-2) data collected from more than 80,000 individuals, I found strong support for Meehl's claim.

hypothesis testing - Another p-value fallacy - Cross …

N2 - In his classic article on the fallacy of the null hypothesis in soft psychology [J. Consult. Clin. Psychol. 46 (1978)], Paul Meehl claimed that, in nonexperimental settings, the probability of rejecting the null hypothesis of nil group differences in favor of a directional alternative was 0.50-a value that is an order of magnitude higher than the customary Type I error rate. In a series of real data simulations, using Minnesota Multiphasic Personality Inventory-Revised (MMPI-2) data collected from more than 80,000 individuals, I found strong support for Meehl's claim.

The second fallacy in the paper is Far-Fetched Hypothesis


The fallacy of denying the hypothesis has this structure:

(b) [(p --> q) & ~p] --> ~q;

in words, p implies q, and p is false, so q must also be
false.

The fallacy of hypothesis testing

If we restate p->q in its
contrapositive form, ~q -> ~p, which is equivalent, then we are
concluding that the conclusion is false (modulo excluded middle) from
the fact that the hypothesis is false; which is the fallacy of denying
the hypothesis.

Hypothesis Contrary To Fact Logical Fallacy samurai …

The fallacy of
affirming the conclusion of p->q is, as you note, to conclude that p
is true from the fact that q is true (i.e., if the conclusion is true
then the hypothesis is true).