Sentence examples for consequences are valid from inspiring English sources
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.
Abelard states that when the proposition 'A thing can be otherwise than God knows it to be' is read as a modal proposition de sensu, the antecedent is false and the possibility of God's error as a consequent would not follow even if the consequence were valid.
If this consequence is valid, then it has a necessary antecedent and a false consequent (since the consequent says that it is invalid).
As Buridan (Tractatus de Consequentiis (henceforth TC), 21) remarks, it is for the most part a matter of terminology: he says he will adopt the definition of consequence as a true hypothetical sentence, but then throughout his text also uses the terminology of a consequence being valid or holding rather than simply being true or false.
As a consequence, our main results are valid in the context of G-metric spaces.
A system that is incomplete in the latter sense can nevertheless be complete in the sense that all the relevant logical truths are valid model-theoretical consequences of the system.
There are valid criticisms.
These concerns are valid.
These are valid criticisms.
