For the answer cannot be derived from any socially cohesive element in the disrupting community.

For the truth formerly experienced by the community no longer has existential status in the community, nor does any answer elaborated by philosophers or theoriticians.

William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

For if Serenissimus made the sign of the Cross with his right hand, and meant it, with his left he beckoned lewdly to any lady who happened to catch his eye.

For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.

For one thing, there wasn't going to be any ceremony at all this year.

For that reason any democratic reform and effort to bring genuine representative government to the Dominican Republic will need the greatest sympathy and help.

For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.

For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.

For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.

For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;

For any house.

For proper accreditation of schools, teachers in any course must have a degree at least one level above that for which the student is a candidate.

For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.

For the lines of any plane, **yp, meeting Q in a conic C, are transformed into the congruence of secants of the curve C' into which C is transformed in the point involution on Q.

For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.

For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.

For in the modern world neither `` spirit '' nor `` matter '' refer to any generally agreed-upon elements of experience.

For in Christ Jesus neither circumcision nor uncircumcision but a new creation is of any account.

For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.

: For any set X of nonempty sets, there exists a choice function f defined on X.

: For any set A, the power set of A ( with the empty set removed ) has a choice function.

: For any set A there is a function f such that for any non-empty subset B of A, f ( B ) lies in B.

For example, the cofinality of ω² is ω, because the sequence ω · m ( where m ranges over the natural numbers ) tends to ω² ; but, more generally, any countable limit ordinal has cofinality ω.

For an infinite group, the derived series need not terminate at a finite stage, and one can continue it to infinite ordinal numbers via transfinite recursion, thereby obtaining the transfinite derived series, which eventually terminates at the perfect core of the group.

For instance, the class of all ordinal numbers, and the class of all sets, are proper classes in many formal systems.

For example, Russell's paradox suggests a proof that the class of all sets which do not contain themselves is proper, and the Burali-Forti paradox suggests that the class of all ordinal numbers is proper.

For example, many results about Borel sets are proved by transfinite induction on the ordinal rank of the set ; these ranks are already well-ordered, so the axiom of choice is not needed to well-order them.

For example, consider Namba forcing, that preserves and collapses to an ordinal of cofinality.

For Swedish monarchs, the ordinal qualifies only the first name ; for example, Carl XVI Gustaf, known as " Carl Gustaf ", is the sixteenth Carl / Karl / Charles, but the second Carl Gustaf ( after Charles X Gustav ).

For ordinal measurements A would be superior to B, and B would be superior to C.

For a well-ordered set U, we define its cardinal number to be the smallest ordinal number equinumerous to U. More precisely:

For each nonzero countable ordinal α there are classes,, and.

# For every limit ordinal γ ( i. e. γ is neither zero nor a successor ), f ( γ ) = sup

For example, the subject category “ Techniques of Socialization ” ( OCM 861 ) will find passages that deal with cultural ideas about childtraining or general methods of discipline, but coding schemes need to be developed to measure dimensions of variation, such as “ degree to which corporal punishment is employed ,” “ degree to which threatening is employed ,” or “ degree to which children are praised .” It is not difficult, after a little practice, to develop ordinal scales that can allow for the coding of words into quantitative measures, and once that is done it is easy to use available software to test hypotheses, and compare, combine, and model the results.

* For leap week calendars without months, each date of the year can be completely specified with three data ( week, weekday, year ), instead of four ( weekday, month, ordinal day, year ).

For example, the 16th edition of The Chicago Manual of Style states: " The letters in ordinal numbers should not appear as superscripts ( e. g., 122nd not 122 < sup > nd </ sup >).

For ordinal variables with more than two values, there are the ordered logit and ordered probit models.

* For α a successor ordinal, the Morley rank is at least α if in some elementary extension N of M, S has countably many disjoint definable subsets S < sub > i </ sub >, each of rank at least α − 1.

* For α a non-zero limit ordinal, the Morley rank is at least α if it is at least β for all β less than α.

For example, the ordinal data hot, cold, warm would be replaced by 3, 1, 2.

For ordinal numbers α, the α-th Cantor – Bendixson derivative of a topological space is defined by transfinite induction as follows:

For numbers higher than 2, the ordinal forms are also used for fractions ; only the fraction ½ has special forms.

For each ordinal α of V, the set V < sup > B </ sup >< sub > α </ sub > is defined as follows.