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Both were ideas that had been floating around for centuries, but which yield very different conceptions of what counts as a formal consequence.
To mark this distinction, 14th century British authors would typically view the former as a material consequence and the latter as a formal consequence (Ashworth & Spade 1992).
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A syllogistic consequence is a formal consequence whose antecedent is a conjunction of two quantified propositions and whose consequent is a third quantified proposition.
The Relativist agrees with the Demarcater that logical consequence must be understood as formal consequence, and so presupposes a distinction between logical and nonlogical constants.
This acts as a formal warning.
I use it as a formal device.
Not as a quick email, but as a formal document.
Think about it as a formal discussion.
As an auspicious consequence, formal epistemology can avoid overreliance on intuition, and thereby the fate of traditional conceptual analysis.
There is, however, a fundamental difference; nowhere does Buridan suggest that formal consequences are valid in virtue of their form, as Abelard had claimed for the 'complexio' of perfect inferences.
As a consequence, a formal computation of the number of subjects required in follow-up wasn't performed.
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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