We have proved that φ is either satisfiable or refutable, and this concludes the proof of the Lemma.

Buckland concludes: " We speculate that Bush did not independently originate the notion of an electronic microfilm selector, although that was possible.

' Here is our answer: We refuse to allow you to speak for all the American people ... We refuse to be party to these wars and we repudiate any inference that they are being waged in our name or for our welfare ..." It indicates as inspiration "... Israeli reservists who, at great personal risk, declare ' there IS a limit ' and refuse to serve in the occupation of the West Bank and Gaza ", the abolitionists, and " those who defied the Vietnam war " and concludes, " we will resist the machinery of war and repression and rally others to do everything possible to stop it.

We owe a lot to the men, mud, and mules that made it happen ," concludes the recorded message.

" He concludes, " We have therefore concluded that these specific allegations are unfounded.

" At the end of the tape, Jones concludes: " We didn't commit suicide ; we committed an act of revolutionary suicide protesting the conditions of an inhumane world.

Professor Wolfgang Helck concludes that " We therefore think it is safer to start from the regnal dates rather than from interpretations of real or supposed Sirius ( Sothic ) or New Moon dates ".

In its mission statement, The Comment concludes by saying, “ We serve as a forum for local campus information and opinions.

Chapter 1: Friedan points out that the average age of marriage was dropping and the birthrate was increasing for women throughout the 1950s, yet the widespread unhappiness of women persisted, although American culture insisted that fulfillment for women could be found in marriage and housewifery ; this chapter concludes by declaring " We can no longer ignore that voice within women that says: ' I want something more than my husband and my children and my home.

June 29, 1998: The Council on School Performance releases a study that concludes: " We found that recipients of Georgia's HOPE Scholarship are more likely to remain enrolled in college, have higher college grade point averages and have earned more credit hours than students without the scholarship.

* In The Simpsons episode " Marge Be Not Proud ", Bart Simpson is caught stealing and is lectured by Homer, who concludes with the lines: " We live in a society of laws.

The ITV documentary, made nine years after the series ended, concludes with Paul Gross saying " We never did photograph it, but I can tell you that we, ( Benton and Stanley ,) found it.

After they vanish, the special concludes when God, with his cat-like eyes now visible, says " We have to stick together, you know.

Then, the video concludes, as the caption, " We love -- and die -- because we must ", comes onto the screen, and then, the video ends.

Patterson ( 1995 ) has proposed a form of afterlife equivalent to a collective dream but concludes that the individual will still have subjective consciousness.

" It is clear ," Brooks concludes, " that the metropolitan church Canterbury must have been quite unable to provide any effective training in the scriptures or in Christian worship.

" In the end, he concludes that he " ought never to have come on leave.

Evaluating Collins ' approach, he considers " the wide geographical spread from which the material comes and the implicit assumption that linguistic developments would have occurred uniformly throughout this area " a weakness and concludes, " The character of the Hebrew and Aramaic could support a date in the fifth or fourth century for the extant written form of the book, but does not demand a second-century date.

However research concludes that this change would have been insufficient to cause the observed level of ammonite extinction.

" Samar Khatiwala, an oceanographer at Columbia University concludes that the studies suggest " we cannot count on these sinks operating in the future as they have in the past, and keep on subsidizing our ever-growing appetite for fossil fuels.

Xavier attempts to surrender to the Hulk, but after viewing the X-Mansion's large graveyard dedicated to post-M-Day mutant deaths, The Hulk concludes the mutants have suffered enough, and leaves the Mansion grounds on his own accord.

In fact, “ Luke perceives himself to be a Jew .” Finally, Rebecca Denova concludes her book with these words: “ Luke-Acts, we may conclude on the basis of a narrative-critical reading, was written by a Jew to persuade other Jews that Jesus of Nazareth was the messiah of Scripture and that the words of the prophets concerning ‘ restoration ’ have been ‘ fulfilled .’” Finally it should be noted that Strelan in 2008 not only concluded that Theophilus was Jewish but also that Luke was a priest.

It concludes with a reminder that the response to the kingdom will have eternal consequences, and the crowd's amazed response leads into the next narrative block.

As Conway ( 2006 ) concludes, the new policies " went far beyond earlier efforts to promote economic development in the Highlands and ... represented the first real endeavour to transform the region's social system .... the post-rebellion legislation certainly seems to have accelerated the change.

Davidson concludes that, in these examples, " here we have the fierce destructive side of death, with a strong emphasis on its physical horrors, so perhaps we should not assume that the gruesome figure of Hel is wholly Snorri's literary invention.

The earliest written references that have survived relating to the islands were made by Pliny the Elder in his Natural History, where he states that there are 30 " Hebudes ", and makes a separate reference to " Dumna ", which Watson ( 1926 ) concludes is unequivocally the Outer Hebrides.

Although Haddad notes that the authenticity of both hadeeth is questionable, he nevertheless concludes that the underlying principle of superiority internal jihad does have a reliable basis in the Quran and other writings.

Binns concludes that it would be unwise to put forward a single explanation of the monster, and probably a wide range of natural phenomena have been mistaken for the monster at times: otters, swimming deer, unusual waves.

Sjögren concludes that the kelpie legends have developed into current descriptions of lake-monsters, reflecting modern awareness of plesiosaurs.

The author of the Catholic Encyclopedia article goes on to enumerate the accounts of each of these three persons ( the unnamed " sinner ", Mary Magdalene, and Mary of Bethany ) in the Gospel of Luke and concludes that based on these accounts “ there is no suggestion of an identification of the three persons, and if we had only Luke to guide us we should certainly have no grounds for so identifying them the same person .” He then explains first the Catholic position equating Mary of Bethany with the sinful woman of Luke by referring to, where Mary is identified as the woman who anointed Jesus, and noting that this reference is given before John ’ s account of the anointing in Bethany:

Given that both A and not-A are seen to be “ true ,” Kant concludes that it ’ s not that “ God doesn ’ t exist ” but that there is something wrong with how we are asking questions about God and how we have been using our rational faculties to talk about universals ever since Plato got us started on this track!

He then concludes that if it wasn ’ t for “ his most excellent son Desiderius ”, he would have been in fatal danger, and that Desiderius had reached an agreement with him to restore to the Church all the lands which she had claims on that were still in Lombard hands.

Polybius concludes the Romans are the pre-eminent power because they are a diverse society in which much of the public have a voice and contribute.

Nozick says no, then asks whether we have reasons not to plug into the machine and concludes that since it does not seem to be rational to plug in, ethical hedonism must be false.

The report concludes that the fireproofing on the Twin Towers ' steel infrastructures was blown off by the initial impact of the planes and that, if this had not occurred, the towers would likely have remained standing.

Changes in American society have affected both men and women, Faludi concludes, and it is wrong to blame individual men for class differences, or for plain differences in individual luck and ability, that they did not cause and from which men and women suffer alike.

Darwin concludes: " If it could be demonstrated that any complex organ existed, which could not possibly have been formed by numerous, successive, slight modifications, my theory would absolutely break down.

He concludes that the modern proponents have made no significant progress in responding to the ancient modes of pyrrhonic skepticism.

The story of Chatterton had inspired one of the three episodes of Vigny's luminous philosophical novel Stello ( 1832 ), in which Vigny examines the relation of poetry to society and concludes that the poet, doomed to be regarded with suspicion in every social order, must remain somewhat aloof and apart from the social order.

Noting that Chick has brought a wolf mask as his costume to the ball, McDougal concludes that it was Chick who actually attacked him out of revenge.

The affidavit concludes in the standard format " sworn ( declared ) before me, of commissioner for oaths / solicitor, a commissioner for oaths ( solicitor ), on the at in the county / city of, and I know the deponent ( declarant )", and it is signed and stamped by the commissioner for oaths.

' " His biographer Trefousse concludes that, while his courageous stand for the Union paid handsome political dividends, Johnson did not succeed in the White House because of his failure to outgrow his Jeffersonian-Jacksonian background ; put in other words, " Johnson was a child of his time, but he failed to grow with it.

He concludes the volume by setting out the limits of knowledge once and for all.

Pentecost then outlines the biblical time period for this campaign to occur and with further arguments concludes that it must take place with the 70th week of Daniel.

It concludes a series of historical books running from Joshua through Judges and Samuel, the overall purpose which is to provide a theological explanation for the destruction of the Jewish kingdom by Babylon in 586 BCE and a foundation for a return from exile.

Voltaire concludes with Candide, if not rejecting optimism outright, advocating an enigmatic precept, " we must cultivate our garden ", in lieu of the Leibnizian mantra of Pangloss, " all is for the best in the best of all possible worlds ".

In 1914, the historian George Lincoln Burr sided with Upham in a note on Thomas Brattle's letter, " The strange suggestion of W. F. Poole that Brattle here means Cotton Mather himself, is adequately answered by Upham ..." Burr also reprinted Calef in full and dug deep into the historical record for information on the man and concludes "... that he had else any grievance against the Mathers or their colleagues there is no reason to think.

It concludes that it needs to make planets more habitable for similar life-forms, and sends out other probes to foment supernovae to do so.

Most modern critical scholarship concludes that Luke used the Gospel of Mark for his chronology and a hypothetical sayings source Q document for many of Jesus ' teachings.

Edwards, for example, concludes that the " sense of time is so confused in Harvey's note that it is really of little use in trying to date Hamlet ".

After reviewing various literary theories, Freud concludes that Hamlet has an " Oedipal desire for his mother and the subsequent guilt preventing him from murdering the man who has done what he unconsciously wanted to do ".

Sukkot concludes with Shemini Atzeret, where Jews begin to pray for rain and Simchat Torah, " Rejoicing of the Torah ", a holiday which marks reaching the end of the Torah reading cycle and beginning all over again.

He concludes that " Perhaps there will ultimately be some serious contribution from the traditional smoke-and-mirrors social science treatment of IQ, but for now Rushton's framework is essentially the only game in town.

The story concludes with Miaoshan being transformed into the Thousand Armed Guanyin, and the king, queen and her two sisters building a temple on the mountain for her.

It concludes that the closest parallels with Isaiah's description of the king of Babylon as a fallen morning star cast down from heaven are to be found not in any lost Canaanite and other myths but in traditional ideas of the Jewish people themselves, echoed in the Biblical account of the fall of Adam and Eve, cast out of God's presence for wishing to be as God, and the picture in of the " gods " and " sons of the Most High " destined to die and fall.

Liberman concludes by saying he thinks " that many if not most of the complaints directed against G & M are motivated in part by ideological disagreement – just as much of the praise for their work is motivated by ideological agreement.

Orans concludes that Freeman's basic criticisms, that Mead was duped by ceremonial virgin Fa ' apua ' a Fa ' amu ( who later swore to Freeman that she had played a joke on Mead ) were false for several reasons: first, Mead was well aware of the forms and frequency of Samoan joking ; second, she provided a careful account of the sexual restrictions on ceremonial virgins that correspond's to Fa ' apua ' a Fa ' auma ' a's account to Freeman, and third, that Mead's notes make clear that she had reached her conclusions about Samoan sexuality before meeting Fa ' apua ' a Fa ' amu.