The phrase 'corresponding principles' is correct and usable in written English.
You can use it when referring to two or more similar sets of principles, rules, or laws that are linked together. For example, "The corresponding principles of the two legal systems were almost identical."
But if Krauss knew more philosophy, he could readily cite many philosophers who find this absolute use — and the corresponding principle that something cannot come from nothing — unintelligible.
The truth is, rather, that no paradox is involved in denying most fundamental metaphysical claims, such as the assertion of the Materialist that there is nothing that cannot be satisfactorily explained in material terms or the corresponding principle of Aristotle that there is nothing that does not serve some purpose.
Functions on predicates are given intensionally, and satisfy just the corresponding principle of Intensionality \(\forall X \forall Y \forall F[X = Y \rightarrow FX = FY]\).
If a false proposition can be closer to the truth than its own (true) negation, then the corresponding principle will not hold of verisimilitude.
E.g., where 'a' is any object term and 'P' is any 1-place relation term, ∀xPx → Pa ∀FFa∀FFa → Pa (The corresponding principle, Existential Introduction, for the existential quantifier, i.e., φ → ∃αφ, is derivable).
The corresponding principle, dictum de nullo, encodes this pattern: whatever is true of no P is not true of any P; so if the property of being a mutt belongs to no dog, it belongs to no poodle.
(2) Regardless of how one understands the task of reflecting judgment, and the content of the corresponding principle, why is it a condition of the successful exercise of reflecting judgment that we assume that nature is suitable for reflecting judgment?
Damped natural vibrations of viscoelastic Bernoulli-Euler beams and Kirchhoff plates are considered and, using the viscoelastic corresponding principle, a refined figure of merit for selecting best performing materials for structural noise and vibration damping applications is derived.
Adopting the elastic viscoelastic corresponding principle (EVCP1), the solutions of loads of casing and cement sheath are obtained in the compressive viscoelastic salt (CVS) on the basis of the elastic solutions of the same problem.
To the extent that these social variables are causal determinants of health, and to the extent that their distribution in society fails to conform to the corresponding principle of Rawlsian justice, the resultant health inequalities will be unjust and unjust because their causes are unjust.
