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Page "Construction of the real numbers" ¶ 42
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We and can
He swung round to the other men -- `` We can catch him easy!!
We can soon tell ''.
`` We can get it if we dig '', he said patiently.
`` We can boil it '', he said.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
We can also argue that the three brothers Karamazov and Smerdyakov were the external representatives of an internal conflict within one man, Dostoevsky, a conflict having to do with father-murder and the wish to possess the father's woman.
We feel uncomfortable at being bossed by a corporation or a union or a television set, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can conceive of no alternatives.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We don't think she can make her child defective, emotionally disturbed or autistic.
We can attack Tshombe, but not Gigenza.
We can force Britain and France out of the Suez, but we cannot so much as try to force the Russian tanks back from Budapest.
We can mass our fleet against the Trujillos, but not against the Castros.
We can vote in the UN against South African apartheid or Portuguese rule in Angola, but we cannot even introduce a motion on the Berlin Wall -- much less, give the simple order to push the Wall down.
We can expect more of the same.
We can help in the planning process
We can no longer rely on interdepartmental machinery `` somewhere upstairs '' to resolve differences between this and other departments.
We must determine whether missiles can win a war all by themselves.
We have developed an ingenious method of interlocking these so that you can make the major part of your house in your own workshop, panel by panel, according to plan.
We gently usher them to an island of tables and chairs strategically placed on the far side of the pool where they can amuse each other until we get ready to merge sides.
We found that three men -- two carpenters and a helper -- can put up wall panels or trusses more economically than four men -- because four men don't make two teams ; ;

We and embed
* We embed the rational numbers into the reals by identifying the rational number with the set of all smaller rational numbers < math >
We told them that we were born again Christians, we're here doing ministry, we shoot for this TV station and we want to embed and see what it was like.

We and rational
We would dismiss it with some portentous words of Sir Kenelm Digby, in his observations on Browne's religio Medici: ' I have much ado to believe what he speaketh confidently ; that he is more beholding to Morpheus for learned and rational as well as pleasing dreams, than to Mercury for smart and facetious conceptions '.
We can use ƒ and g together to compute as close a rational approximation as we like to the real number they represent.
We claim the rational, eschew the irrational ,( contrary to reason ) and question the non-rational ( that which is neither provable nor disprovable by reason alone, i. e. life after death ).
We hold that Congress had a rational legislative purpose when it classified cocaine as a Schedule II narcotic drug for the purpose of imposing penalties.
We were outnumbered, but thank to the rational orders of the general Sebastjani, in some od four hours on 27 March 1809 the Spaniards were defeated and dispersed.
We determine the rational part without integrating it and we assign a given integral into Ostrogradsky's form:
We ourselves are moral agents with a capacity for happiness and it is our duty as rational agents to pursue happiness so long as it does not interfere with other duties.
We need not determine whether respondents ' activities, taken in the aggregate, substantially affect interstate commerce in fact, but only whether a “ rational basis ” exists for so concluding.
Initially e is assumed to be a rational number of the form a / b. We then analyze a blown-up difference x of the series representing e and its strictly smaller partial sum, which approximates the limiting value e. By choosing the magnifying factor to be the factorial of b, the fraction a / b and the partial sum are turned into integers, hence x must be a positive integer.
We cannot eliminate the compactness condition as the set of all rational numbers shows.
" We here observe that God is the only supreme governor and independent being in whom all fullness and perfection dwell ; who is omnipotent, omnipresent, and omniscient ; without beginning of days or end of life ; and that in him every good gift and every good principle dwell ; and that he is the Father of lights ; in him the principle of faith dwells independently, and he is the object in whom the faith of all other rational and accountable beings center for life and salvation.
" We have now clearly set forth how it is, and how it was, that God became an object of faith for rational beings ; and also, upon what foundation the testimony was based which excited the inquiry and diligent search of the ancient saints to seek after and obtain a knowledge of the glory of God ; and we have seen that it was human testimony, and human testimony only, that excited this inquiry, in the first instance, in their minds.
We see this because we know there is something " desiring and generally appetitive " in the soul which can on different occasions in different people either oppose reason, or obey it — thus being rational just as we would be rational when we listen to a father being rational.
We make progress with rational argument ; we do not make progress by sloganising.
He defines spirit of capitalism as the ideas and esprit that favour the rational pursuit of economic gain: " We shall nevertheless provisionally use the expression ' spirit of capitalism ' for that attitude which, in the pursuit of a calling, strives systematically for profit for its own sake in the manner exemplified by Benjamin Franklin.
We claim that the image of F does not contain t. We will prove this by contradiction: Suppose that there is an element of K whose image under F is t. This element is a rational function q ( t )/ r ( t ) whose p < nowiki >'</ nowiki > th power ( q ( t )/ r ( t ))< sup > p </ sup > equals t. This makes, which is impossible.

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