IBE is clearly more general than simple enumerative induction, can compare and evaluate competing inductions, and can fill in supportive hypotheses not themselves instances of enumerative induction.
Many less theoretical instances of inductive reasoning also fail to be captured by enumerative induction.
Note that unlike Q, PA contains infinitely many axioms, because all (infinitely many) instances of the induction scheme, one corresponding to every formula φ(x) (with at least one free variable) of the language, are taken as axioms.
For instance, operation of induction motors at (5%) of voltage unbalance factor (VUF) is not recommended [21, 22].
According to the contextualists, the rules governing the shifts prohibit us from interpreting any instance of the induction step as having a true antecedent and a false consequent.
In first-order formalizations of arithmetic, this is formulated as a scheme: for each first-order arithmetical formula of the language of arithmetic with one free variable, one instance of the induction principle is included in the formalization of arithmetic.
Above all, his emphasis on negative instances for the procedure of induction itself can claim a high importance with regard to knowledge acquisition and has been acclaimed as an innovation by scholars of our time.
It causes stress and defence reactions for instance via induction of the jasmonate and ethylene biosynthesis, and by consequent gene expression alteration regulated by these hormones.
As noted earlier, however, in many instances the induction of these defenses actually requires oxidative modification of specific cell signaling proteins in order to initiate the protective response.
In many instances, the induction of endocytic hot-spots correlated with regions of self-contact or occurred at regions undergoing rapid membrane remodeling.
However, in other instances where induction of apoptosis is accompanied by an elevation of ceramide, FB1 failed to prevent the apoptotic response while blocking ceramide production (Nagy et al, 2000; Miguet et al, 2001).
