With what number of letters are the most cardinal number
are adjectives when used in ordinary English (three students), but nouns when used mathematically (the answer is four) (Munro, 1979).
The cardinal number
principle is a basis for mathematical thought, since knowing that, for example, the word "six" is related to a set size (six objects).
Later, in his now famous speech given to the International Conference of Mathematicians at Paris in 1900, David Hilbert posed as his first problem (of 23) whether there are any nondenumerable sets whose cardinal numbers
lie between [N.sub.0] and c.
The preceding proposition implies that the cardinal numbers
[c.sub.2] ([H.sup.n]) are finite.
Because s represents the total number of C-stable set that is contained from one the feasible partition corresponding to a strict [sub.[bar.[chi]]](H') [greater than or equal to] l coloring of H', and the cardinal number
of C-stable set is greater than l or equal to l, Because, each C-stable set which the cardinal number
of set is greater than l or equal to l contain at least one C-hyperedge of the mixed hypergraph [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
(Following , ) The cardinal number
of a set A is the initial ordinal number a in the class of all sets equipotent to A.
Cantor called this abstract extensional presentation of a set its power or its cardinal number
, but it is also possible to think of a set in terms of its intrinsic order, thus defining the sets ordinal type.
This analogy is unsatisfactory because it reduces the complex, emergent relatedness of the order of the universe to a mere collection of countable items, and it construes God as the concept of a transfinite cardinal number
. But transfinite cardinal numbers
are directly understandable by human minds (though this requires considerable effort), whereas God surpasses all direct human understanding.
On a more down-to-earth note, Designfax has entered into its 23rd year -- not a cardinal number
in anniversary celebrations, but a mature age, nonetheless.
In the grammar and morphology of numbers, Aramaic influence is slighter still, possibly appearing in the form /me/ for the cardinal number
100, the use of listen n/ for multiplicatives, and the late, sporadic use of u ("and") between numbers or measures (I [section][section] 9, 35, 68, and 73s).
Each higher tier will be an infinite periodic sequence; the period will have a cardinal number
which is a multiple of 8.
Then we have M(X) = [absolute value of X], the cardinal number
formally listen + cardinal number
= that man + attained skill + printer's measure