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In order to make this kind of intuitive statement more precise, one studies the information-theoretic properties of HDSs.
A precise meaning is given to the following intuitive statement: between the two times when it hits a double point, a Brownian motion behaves like a Brownian bridge.
Instead, a statement about classes is regarded as a paraphrase for some other (more complicated and usually less intuitive) statement about sets.
This intuitive statement is made more precise by noting that for any distribution P (D) and ε > 0, by Markov's inequality in probability theory, we have that ∑ P D ≤ 2 - 1 + ε ∙ H P P D ≤ 1 1 + ε.
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While Lotze agreed that "… it is not we who are in space, but it is space which is in us" (OutRel, p. 53), this statement engenders no commitments about the ultimate justification of intuitive statements.
Totally intuitive statements from Hrdy like "Wherever women have both control over their reproductive opportunities and a chance to better themselves, women opt for well-being and economic security over having more children," shouldn't blow anyone's mind, but they kind of do.
Totally intuitive statements from Hrdy like "Wherever women have both control over their reproductive opportunities and a chance to better themselves, women opt for well-being and economic security over having more children," shouldn't blow anyone's mind, but they often do.
Any calculation with a large number of inputs is likely to resist closed-form calculation of uncertainty and intuitive statements about total uncertainty are likely to be worthless.
For these types of analyses, a Bayesian approach is the most natural, since it allows direct and intuitive statements to be made regarding the probability that a treatment is cost-effective, based on the available evidence [ 62].
E.g., the theory of relativity leads to counter-intuitive statements about time and space yet is considered accurate.
It is one of the advantages of the Bayesian approach that it enables intuitive probability statements to be made about propositions; in this case, 0.0272 is an estimate of the probability that bevacizumab provides superior PFS gain to sunitinib.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com