Sentence examples for grammatical formulae from inspiring English sources
The grammatical formulae can then be seen as (or codified by) the numbers obtainable from the basic numbers after some finite series of applications of the operations, and thus their set is characterizable in terms of concepts of arithmetic and set theory (in fact arithmetic suffices, with the help of some tricks).
Notice a grammatical pattern?
The manuscript is laden with grammatical errors, unexplained formulas (eqns.1, 2, 3) and notations, and unexplained or unsubstantiated claims.
Some have normal grammatical and linguistic powers.
But the axioms are certain formulae built by the process of grammatical formation, so they can be seen as (or codified by) certain numbers; and the rules of inference can again be seen as (or codified by) certain computable arithmetical operations.
There were 25 syntactically correct formula items (e.g. as the formula above), 25 incorrect formula items and correspondingly 25 correct list items (e.g. as the list above) and 25 incorrect list items, i.e. a total of 100 items (50 formulae and 50 lists) to be judged for their grammatical content.
As Hintikka himself recognizes, to produce a rigorous argument, it would be necessary to show for an arbitrary FPO sentence Qφ, not only that there is an English sentence that is naturally represented using the prefix Q, but also that the grammatical constructions used allow an English counterpart of φ: whether the formula Qφ can be translated to FO crucially depends on the matrix φ. 87.
To realize this goal, the familiar parts of speech (nouns, verbs, …) are turned into formulas of a logic — a logic designed to reason about grammatical composition.
A better picture of L2 writers reduction of errors may have been shown by using a formula or statistical analysis that took into consideration both accurate and inaccurate usage of certain grammatical structures, vocabulary, and punctuation.
Usage trumps grammatical purity.
This is called grammatical conditioning.
