He issued his Emancipation Proclamation only when he felt that necessity left him no other way to save the Union.

Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.

Furthermore, the network in Figure 3 is only the basic net through which other networks pertaining to logistics and the like are interlaced.

It may be that in this comment he has broken from the conventional pattern more violently than in any other regard, for the treatment in his books is far removed from even the genial irony of Ellen Glasgow, who was the only important novelist before him to challenge the conventional picture of planter society.

The observer of television or other products for a mass audience has only a permit to be, like the models he sees, even more like everybody else.

There was only one hitch: the small town of Kehl, on the other side of the Rhine, was still under French jurisdiction.

In Aristotle's analysis of tragedy in the Poetics, we find an attempt to isolate the art, to consider only those things proper to it, to discover how it differs from other arts, and to deal with the effects peculiar to it.

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

Boniface had to uphold the sacredness of the feudal contract at all costs, for it was only as suzerain of Sicily and of the Patrimony of Peter that he had any justification for his Italian wars, but in the English-Scottish-French triangle it was almost impossible for him to recognize the claims of any one of the contestants without seeming to invalidate those of the other two.

He was a learned and brilliant man, one of the best jurists in Europe and with flashes of penetrating insight, and yet in his dealings with other people, particularly when he tried to be ingratiating, he was capable of an abysmal stupidity that can have come only from a complete incomprehension of human nature and human motives.

The other reason ( and the one with which I am here concerned ) is that one thus becomes inclined to inquire of any opinion, or change of opinion, whether it represents the wisdom of experience or is only the result of the difference between youth and age which is as inevitable as the all too obvious physical differences.

But Krim's complaint is important because not only in New York, but in other cities and in universities throughout this country, young and not, so young men at

The only other works at least technically original were dreary farces -- Send Me No Flowers ( closed ), Under The Yum-Yum Tree, Critic's Choice.

Two other states provide vehicles, but only with legislative approval.

It is not clear, however, whether they are thinking of all movable property or only of boats, trailers, aircraft or certain other types of personal property whose assessment would be advantageous to their particular towns.

We have only to compare the liberty and high standard of living we enjoy in this great country with the oppression and frugality of other nations to realize with humble gratitude that God's Providence has been with us since the very beginning of our country.

Not only is this kind of duplication wasteful, but it gives the combined system the ability to take freight traffic away from the New York Central and other railroads serving the area.

Section 7 is designed to arrest in its incipiency not only the substantial lessening of competition from the acquisition by one corporation of the whole or any part of the stock of a competing corporation, but also to arrest in their incipiency restraints or monopolies in a relevant market which, as a reasonable probability, appear at the time of suit likely to result from the acquisition by one corporation of all or any part of the stock of any other corporation.

A low-power, `` carrier-current '' broadcasting station, KARL, heard only in the campus dormitories, is owned and operated by the students to provide an outlet for student dramatic, musical, literary, technical, and other talents, and to furnish information, music, and entertainment for campus listeners.

In other instances where there is no automatic block signaling, the distant has only green and yellow aspects.

My double was made with standard-weight revolver barrels ( before cutting to revolver length ), and although it compares well in other respects, it's considerably heavier than the Deerstalker, which only scales about 6-1/2 pounds.

Your competition is now proportionately greater -- you are competing not only against manufacturers in the same field but also against a vast array of manufacturers of other appealing consumer products.

In working out the practical legal conclusions President Waters was not thinking only of this pilot project, for it is planned to duplicate this program or system in other builder developments nationally.

`` It was only the other day that I saw something of yours, about something or other, in some magazine ''.

But the facts about our Advisory Board and its members' duties are only one of several sets of facts about the quest for advice, both reliable and imaginative, on which to base our selections of Fellows.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

Another equivalent axiom only considers collections X that are essentially powersets of other sets:

Its domain is the powerset of A ( with the empty set removed ), and so makes sense for any set A, whereas with the definition used elsewhere in this article, the domain of a choice function on a collection of sets is that collection, and so only makes sense for sets of sets.

For example, after having established that the set X contains only non-empty sets, a mathematician might have said " let F ( s ) be one of the members of s for all s in X.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

The symbol Σ denotes a σ-algebra of sets, and Ξ denotes just an algebra of sets ( for spaces only requiring finite additivity, such as the ba space ).

For example, in Virginia, the definition of the conduct that constitutes the crime of robbery exists only in the common law, and the robbery statute only sets the punishment.

With longer sets ( more than ~ 40 people ) this would require long enough sets that the caller will usually only run the dance all the way around on ( rare ) non equal-turn dances.

A more refined classification is often shown in colored presentations of the periodic table ; this system restricts the terms " metal " and " nonmetal " to only certain of the more broadly defined metals and nonmetals, adding additional terms for certain sets of the more broadly viewed metals and nonmetals.

This is only effective for small sets, however ; for larger sets, this would be time-consuming and error-prone.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

It was this notion of compactness that became the dominant one, because it was not only a stronger property, but it could be formulated in a more general setting with a minimum of additional technical machinery, as it relied only on the structure of the open sets in a space.

Slightly more generally, any space with a finite topology ( only finitely many open sets ) is compact ; this includes in particular the trivial topology.

Two sets have the same cardinal number if and only if there is a bijection between them.

A metric space X is complete if and only if every decreasing sequence of non-empty closed subsets of X, with diameters tending to 0, has a non-empty intersection: if F < sub > n </ sub > is closed and non-empty, for every n, and diam ( F < sub > n </ sub >) → 0, then there is a point x ∈ X common to all sets F < sub > n </ sub >.

Enumerative definitions are only possible for finite sets and only practical for relatively small sets.