Search results
Results from the WOW.Com Content Network
As noted, what the axiom is saying is that, given two objects A and B, we can find a set C whose members are exactly A and B. We can use the axiom of extensionality to show that this set C is unique. We call the set C the pair of A and B, and denote it {A,B}. Thus the essence of the axiom is: Any two objects have a pair.
For example, A Comprehensive Grammar of the English Language categorizes this use of that as an adverb. This analysis is supported by the fact that other pre-head modifiers of adjectives that " intensify " their meaning tend to be adverbs, such as awfully in awfully sorry and too in too bright .
Most of the pairs listed below are closely related: for example, "absent" as a noun meaning "missing", and as a verb meaning "to make oneself missing". There are also many cases in which homographs are of an entirely separate origin, or whose meanings have diverged to the point that present-day speakers have little historical understanding: for ...
Any scalar product on a real vector space V is a pairing (set M = N = V, R = R in the above definitions). The determinant map (2 × 2 matrices over k ) → k can be seen as a pairing k 2 × k 2 → k {\displaystyle k^{2}\times k^{2}\to k} .
It argued that the meaning of the whole was not a function of the meanings of the parts, that odd grammatical properties of Deictic There-constructions followed from the pragmatic meaning of the construction, and that variations on the central construction could be seen as simple extensions using form-meaning pairs of the central construction.
A set with precisely two elements is also called a 2-set or (rarely) a binary set. An unordered pair is a finite set; its cardinality (number of elements) is 2 or (if the two elements are not distinct) 1. In axiomatic set theory, the existence of unordered pairs is required by an axiom, the axiom of pairing.
Compounds are units of meaning formed with two or more words. The words are usually written separately, but some may have a hyphen or be written as one word. Often the meaning of the compound can be guessed by knowing the meaning of the individual words. It is not always simple to detach collocations and compounds. car park; post office; narrow ...
The first English grammar, Bref Grammar for English by William Bullokar, published in 1586, does not use the term "auxiliary" but says: All other verbs are called verbs-neuters-un-perfect because they require the infinitive mood of another verb to express their signification of meaning perfectly: and be these, may, can, might or mought, could, would, should, must, ought, and sometimes, will ...