Our results indicate that despite the differences in the structure and vocabulary of the languages analyzed, the impact of word ordering in the structure of language is a statistical linguistic universal.
Challenge her to read and order in the foreign language she's learning in school.
We build here on these results; we include the pre-ordering in the language by introducing a conditional operator, and we extend the generation of a nonmonotonic inference relation by allowing the use of incompletely specified pre-orderings.
Thus the set of validities of seventeenth-order logic is computably reducible to V², the set of second-order validities in the language of equality.
Let T in H_kappa be a set of first-order axioms in the language of set theory, extending ZFC and perhaps using parameters from H_kappa.
Thus π is a second-order sentence in the language of arithmetic, with 0, S, +, and ×.
More specifically, we have the following result of Hintikka (1955): For each formula φ of higher-order logic (in a language with finitely many non-logical symbols), we can effectively find a sentence ψ of second-order logic (in the language of equality) such that φ is valid if and only if ψ is valid.
For example, $\kappa$ is strongly inaccessible if and only if every $\Sigma^1_1 $sentence (i.e., existential second-order sentence in the language of set theory, with one additional predicate symbol) true in the structure $(V_\kappa,\in, A $, for any $A\subseteq V_\kappa$, is true in some $(V_\alpha,\in,A\cap V_\alpha)$, $\alpha <\kappa$.
Learn the grammar and syntax; learn what the default word order is in the language, for example, Subject Verb Object (most European languages), SOV (Korean and Japanese, also many languages of India), VSO (Celtic languages, for example Irish), etc. Once you learn the structure of a language, all you need to do is learn vocabulary and plug in words where they belong.
For in order for the language of the virtues to be intelligible, it must be grounded in a thick account of the good.
At the same time as making this broadening substantive change, the 1962 amendment made structural changes to the order of the language in § 1114.
