Help


[permalink] [id link]
+
Page "Axiom of choice" ¶ 104
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

is and every
It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.
Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.
In the work of every artist, I suppose, there may be found one or more moments which strike the student as absolutely decisive, ultimately emblematic of what it is all about ; ;
he is questioning, also, every epistemology which stems from Hume's presupposition that experience is merely sense data in abstraction from causal efficacy, and that causal efficacy is something intellectually imputed to the world, not directly perceived.
As shown in Figure 1, there is a connection for communication between every pair of points.
Hence, the only defensible procedure is to repress any and every notion, unless it gives evidence that it is perfectly safe.
usually, this is most exasperating to men, who expect every woman to verify their preconceived notions concerning her sex, and when she does not, immediately condemn her as eccentric and unwomanly.
This is a problem to be solved not by America alone, but also by every nation cherishing the same ideals and in position to provide help.
The steady purpose of our society is to assure justice, before God, for every individual.
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
There is every reason to recognize that in the very last years of his life, as we shall see, Thompson did take the drug in carefully rationed doses to ease the pains of his illness, but the exact date at which this began has never been determined.
The religious quest is often intense and deep, and there are students on every campus who are seriously wrestling with the most profound questions of meaning and value.
His neighbors celebrated his return, even if it was only temporary, and Morgan was especially gratified by the quaint expression of an elderly friend, Isaac Lane, who told him, `` A man that has so often left all that is dear to him, as thou hast, to serve thy country, must create a sympathetic feeling in every patriotic heart ''.
Had U.S. warships not appeared off the Dominican coast, there is every possibility that the country would now be wracked by civil war.
In accordance with legislation passed at the last session of Congress, each Representative is authorized to deliver to the Post Office in bulk newsletters, speeches and other literature to be dropped in every letter box in his district.
Yet every Sunday we sinners go to that emergency room to receive first aid, and we leave unmindful that the man who ministered to us is a human being who suffers, too.
Generally, throughout the South, there is a growing impatience with the pattern of violence with which every step of desegregation is met.
The brush moves up and down and is small enough to clean every dental surface, including the back of the teeth.
Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.

is and consistent
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
This finding is consistent also with the fact that student leaders are more likely to be supporters of the values implicit in civil liberties than the other students.
His advisers in the Politburo ( White House ) are engaged in a great struggle of opinions, so he is not always consistent.
It is in fact entirely consistent with your suggestion of modest industrial development to help pay governmental costs.
There is also the possibility, among higher religions, of experiencing consistent meaning in life and enjoying guidance and expansiveness.
Although the Brandywine population is still predominantly rural, `` there are indications of a consistent and a statistically significant trend away from the older and relatively isolated rural communities.
The treatment seems unnecessarily loose-jointed and complex, largely because the method is lax and the analysis seems never to be pushed to a satisfactory or even a consistent stopping-point.
And our question is, is such an implication consistent with what we meant??
But it is also true that Braque was the consistent pioneer in the use of simulated textures as well as of typography ; ;
There is only one sense in which it is valid to talk about Hardy's development: he did develop toward a more consistent and more effective control of that tone which we recognize as uniquely his.
* Food quality: Ensuring that the food supply is of a consistent and known quality.
This placement is consistent with the modern practice of ordering the elements by proton number, Z, but this number was not known or suspected at the time.
They reasoned that if all three families had a common ancestor, we should expect losses to happen at random, not only at the geographical margins of the family, and that the observed pattern is consistent with borrowing.
Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.
Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model ( the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent.
Assuming ZF is consistent, Paul Cohen employed the technique of forcing, developed for this purpose, to show that the axiom of choice itself is not a theorem of ZF by constructing a much more complex model which satisfies ZF ¬ C ( ZF with the negation of AC added as axiom ) and thus showing that ZF ¬ C is consistent.

is and set
`` All I have to do to set the record is to go on down.
And the best way to conceal and disguise the elements of an incest story is not to set out to write an incest story.
The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.
Once the scene is set, Trevelyan skilfully builds up the tense story until it reaches its climax in the dramatic victory of Marlborough and Eugene of Savoy at Blenheim.
Criticism is as old as literary art and we can set the stage for our study of three moderns if we see how certain critics in the past have dealt with the ethical aspects of literature.
To say this is to set aside the realness of time.
I refer to the notion that the structure of society is a microcosm of the cosmic design and that history conforms to patterns of justice and chastisement as if it were a morality play set in motion by the gods for our instruction.
Even to be `` from hope and fear set free '' is at least better than to have lost the first without having got rid of the second.
I believe it is an area in which professional planners have failed to set adequate guide posts ; ;
It is high time the United States began to realize that the God-given rights of men set forth in that document are applicable today to Katanga.
One of the inescapable realities of the Cold War is that it has thrust upon the West a wholly new and historically unique set of moral dilemmas.
The day is now appropriately set aside to honor the American men and women who have contributed to the success of our merchant marine fleet in peace and war.
The Act further provides for a `` floor '' or minimum allotment, set at the 1954 level, which is called the `` base '' allotment, and a `` ceiling '' or maximum allotment, for each State.
The method used in computing the allotments is specifically set forth in the Act.
The method used for computing the respective Federal and State shares in total program costs is specifically set forth in the Act.
It is equipped with electronic controls that can be set to hold precise tension and speed.
the purpose of producing plays at the College is three-fold: to provide the Carleton students with the best possible opportunity for theater-going within the limits set by the maturity and experience of the performers and the theatrical facilities available ; ;
The first substantially complete stereo Giselle ( and the only one of its scope since Feyer's four-sided LP edition of 1958 for Angel ), this set is, I'm afraid, likely to provide more horrid fascination than enjoyment.
The Rio Grande KC is also considering having their Junior Classes set up so that Juniors can qualify with points for Westminster.
There is no limit to what you can spend, yet it is easily possible to keep within a set budget.
The main set of bars are the `` tappets '' and one tappet is connected to each lever.
He is a fine-looking colt with a good body, good set of legs and nice way of going.
This one was set up here in 390 A.D. on a pedestal, the faces of which are carved with statues of the emperor and his family watching games in the Hippodrome, done so realistically that the obelisk itself is included in them.
There is even one set that has `` barbecue '' written on it.

0.114 seconds.