In combination these metatheorems resolve both the metaphysical and epistemological problems for proofs and demonstrations in first-order logic: Namely, what distinguishes valid from invalid logical demonstration? and what are reliable methods for deductive inference?
Blondel was influenced by the theory that belief is a matter of will as well as logical demonstration.
This lack of certainty extends as well to logical demonstration, whether of inductive or deductive character.
This raises the possibility that even a logical demonstration of the metaphysical necessity of 'Something exists' might still leave us asking why there is something rather than nothing (though there would no longer be the wonder about the accidentality of there being something).
But, Fung argues, China did not discover the scientific method because Chinese thought started from the mind, and did not require proof or logical or empirical demonstration.
To be logical and direct demonstration of the consequences of the low expression levels of miR-22 in GC, we performed miR-22 inhibition experiments by anti-miR-22 thensfection in the AGS cell line, in which miR-22 expression was higher than other three GC cell lines.
'Explanation' means 'adequate explanation', which in turn requires a demonstration of logical entailment between explanans and explanandum.
Popper's arguments against holism, and in particular his arguments against the propriety of large-scale planning of social structures, are interconnected with his demonstration of the logical shortcomings of the presuppositions of historicism.
Avicenna provides a sustained critique of induction (istiqrāʾ) in his treatise On Demonstration (al-Burhān), the logical part of the Book of Healing.
The logical tendencies are obtained and provide a preliminary demonstration of the capabilities of the newly developed theoretical framework.
