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"categorical conclusion" is a correct and usable phrase in written English.
It is commonly used in logic and philosophy to describe a conclusion or statement that is definite, absolute, and without conditions or exceptions. Example: "Based on the evidence presented, we can draw a categorical conclusion that the accused is guilty of the crime."
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Robert Fisk provides another summary of that categorical conclusion.
Hypothetical syllogisms in which all propositions are of the form "p ⊃ q" (i.e., "p implies q") are called pure, as opposed to mixed hypothetical syllogisms that have one hypothetical and one categorical premise and a categorical conclusion.
Wanless says the record-keeping practices inside the Home Office at the time mean it is not possible to reach a categorical conclusion on whether or not files were destroyed as part of a cover-up but says: "We found nothing specific to support a concern that the Home Office had failed in any organised or deliberate way to identify or refer individual allegations of child abuse to the police".
The key element of the DOMA decision was its categorical conclusion that there was no conceivable rational basis to stop same-sex couples from marrying.
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However, some 40% of respondents did not declare their voting intentions, making it hard to draw categorical conclusions.
And it is categorical in its conclusion: climate change has not stopped and man is the main cause.It may be the last report of its kind: a growing chorus of experts thinks a more frequent, less bally-hooed and more up-to-date assessments would be more useful.
If the argument is categorical, then its conclusion is (at least) that, where "E" stands for the sum of the relevant evidence, P(M|E) > 0.5.
Dr. ElBaradei's most recent report to his agency's 35-country board last month is less categorical in its conclusions than the American finding.
A categorical syllogism infers a conclusion from two premises.
Despite the tendency toward more diagnoses of cluster A and C in the total group, the overall conclusion is that categorical PDs provide a rather unspecific description of the maladaptive patterns of personality function in the ASD group.
For categorical variables, this approach produced conclusions that were meaningfully equivalent to those produced by a Breslow-Day test for statistical interaction.
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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