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Someone might react as follows: "All I want of a valid argument is that it preserve certainty.
The invalid argument forms above do preserve certainty: if you assign probability 1 to the premises, then you are constrained to assign probability 1 to the conclusion (in all probability distributions in which the antecedent of any conditional gets non-zero probability).
So treating the premises would be to require of a valid argument that it preserve certainty: that there must be no probability distributions in which all the premises (conditional or otherwise) are assigned 1 and the conclusion is assigned less than 1.
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We could use the word "valid" in such a way that an argument is valid provided it preserves certainty.
And for argument involving only factual propositions, the converse is also true: the same class of arguments necessarily preserves truth, necessarily preserves certainty and necessarily preserves probability in the sense of PPP.
The legislation in its current form preserves the legal certainty of these financial instruments, which are used by firms to hedge against risk and for speculation.
Specifying a flexible prior for the covariance matrix in a Bayesian approach can preserve this uncertainty or update the certainty based upon the data likelihood.
He can also preserve -- rarer still -- a beautiful certainty of pitch.
As his troops battled insurgents all around the country, Mr. Assad was determined that here, at least, he would preserve an air of normalcy, of routine, of certainty that life would go on, as it had before.
Part of the book's compulsion derives from Dawkins's appealing certainty that he is exploring a scientific world in which "we are survival machines – robot vehicles blindly programmed to preserve the selfish molecules known as genes".
To preserve?
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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