in the most controversial part of his book, he argues that Russell restores the unrestricted variable in PM, although at the cost of abandoning the

substitutional approach.

Performing ab initio electronic band structure calculations, Yamamoto and Katayama-Yoshida [39] showed that

substitutional N-doping alone increases the Madelung energy resulting in localization of N states.

Mn, Ni, or Co ions maybe in CdS sites as

substitutional or as interstitialions of CdS nanoparticles.

(23) More formally: (Y)(Y [contains] [square](K [contains] Y)) [contains] (Y)(Y [contains] `K [contains] Y' is a priori knowable), where Y is a sentential

substitutional quantifier.

A test for equivalence between B1 and C1, therefore, also occurs as a form of

substitutional reflexivity.

But there is a difficulty here too, since

substitutional quantification is standardly explained in terms of the truth of the substitution-instances of quantified sentences.

This is a good example of Vegard's law, which demonstrates that replacement of Gd by Ca in the hexagonal compounds is random and

substitutional. The unit cell volume increases linearly with x (Figure 5(b)).

No particles were observed on the surface of the other codoped Ti[O.sub.2] samples, an indication that the metals most likely occupy

substitutional positions on the Ti[O.sub.2] lattice.

[9] have also discussed the structural and electronic properties of two possible

substitutional carbon-doped structures of anatase and rutile Ti[O.sub.2].

Profit categories were below the level of the same period in the previous fiscal year because the Company recorded an JPY 11,915 million gain on the transfer of the

substitutional portion of the employees' pension fund in the previous fiscal year.

Subject to approval at a general meeting of

substitutional members slated for July 2, the plan envisages raising the 120 billion yen from some 10 banks, the officials said.

Even if the second hole can be avoided, the problem with the first hole is greater for more complicated operators, like quantifiers: for instance, in the case of "some" our usual deductive inferences turn out truth preserving if we suppose that its contribution to truth conditions is that of the unrestricted objectual existential quantifier, but making it a restricted quantifier or

substitutional quantifier of a certain sort would also make the inferences truth preserving, and (depending on the details of the restriction) might make us at least equally reliable--even with the truth rules for the truth functional connectives and "implies" unchanged.