With the omission of the law of the excluded middle as an axiom, the remaining logical system has an existence property which classical logic does not: whenever is proven constructively, then in fact is proven constructively for ( at least ) one particular, often called a witness.

" With this goal in mind, congress has sometimes expanded the grounds on which an individual may be prosecuted for perjury, with section 1623 of the United States Code recognizing the utterance of two mutually incompatible statements as grounds for perjury indictment even if neither can unequivocally be proven false.

With the retirement of the USA's Space Shuttles, Russia will have the sole proven system for boosting crew to the station.

With a separation of 3 lightyears, it is doubted, but not absolutely proven, that there is no significant gravitational interaction between them.

With its Georgian town houses converted into guest houses and small hotels, often overlooking one of the beaches, Falmouth has proven a popular holiday destination and it is now primarily a tourist resort.

With Marguerite's love and courage amply proven, Percy's ardour is rekindled.

With the first equality by definition of conditional probability density, the second by the remark above, the third by the equality proven above, and the fourth by simplification.

With the changing standards by which items are judged as immoral and with books being produced in some countries at a rate of one every few minutes, the maintenance of any kind of Index would have proven almost impossible, in any case.

With nearly a decade on the air, Lo que callamos las mujeres has proven Pinal's prediction to be wrong, and the program shows no signs of stopping production.

This was proven to be effective in " The One With the Videotape ", when it was discovered that Rachel successfully used the story on Ross ( although, as Ross was aware of the story beforehand, the mere fact of Rachel using it would have been enough to imply that she was hitting on him ).

With their favouring partly hidden nest sites, the provision of nestboxes has proven a dramatic conservation success, with the birds taking to them very readily.

With each faction constantly probing for an excuse to kill off the other faction, if one faction was proven to be corrupt then the other factions would immediately jump on the chance to purge them.

With the recent discoveries of numerous planetary systems, this idea, at least, is being gradually proven correct.

With the Soviet Union's first nuclear test a year and half earlier, the United States had begun stockpiling the new designs before they were actually proven.

With a minimal decrease in power output over the LQ1 on a traditional OHV setup, this Buick-designed V6 offered proven reliability.

With bank-to-bank wire transfer, each account holder must have a proven identity.

With the exception of the one-time pad, no cipher has been theoretically proven to be unbreakable.

With the Tleilaxu ghola of Duncan Idaho having regained the memories of the deceased original, Scytale has proven that the Tleilaxu can essentially " resurrect " a human being.

With the current " mass-market " software used by thousands of companies and fundamentally proven to work, the " parallel " run that is mandatory with software tailor-made to a company is generally not done.

With of proven oil reserves, Yuganskneftegaz was the largest Yukos production complex.

With his many references to the early Church, Outler's work has proven very influential to those in the paleo-orthodox movement and contemporary evangelicalism, notably Thomas C. Oden.

With a little exploration, it can easily be proven that Stiles was near the window around the time of Linder's death.

With over 50 part-time and full-time industry instructors, the LSM offers an education centered around proven practices from companies all over the world.

With U. S. bombing ended, communist logistical preparations could be accelerated.

With decreasingly impressive logistical and technological advantages, each Man-Kzin War results in the confiscation or liberation of one or more Kzinti colony planets by the humans.

With the introduction of a ‘ fix the basics ’ program, designed to re-focus on food retailing, and a drive to resolve logistical problems, Loblaw returned to profitability in 2007.

With that change, the base became the hub of all Navy port operations for the Region, assumed logistical responsibility for both Naval Medical Center San Diego and the Region headquarters and was re-designated Naval Base San Diego.

With 13 ships remaining from Won Gyun's disastrous defeat at the Battle of Chilchonryang, Admiral Yi Sunsin held the strait against a fleet of 133 Japanese warships and at least 200 logistical support ships.

With the breakdown of logistical systems, the cannibalization of surviving airframes was widespread.

With minimal logistical support from Massachusetts and four to five hundred volunteer militia and Natives, Eddy attempted to besiege and storm Fort Cumberland in central Nova Scotia ( near the present-day border between Nova Scotia and New Brunswick ) in November 1776.

With the knowledge that the kingdom comes by obedience to the moral law in our relations with all people, we have a firm intellectual grasp on both the means and the ends of our lives.

With the end of Roman civilization, Western Europe entered the Middle Ages with great difficulties that affected the continent's intellectual production.

With the exception of the extraterrestrial entity known as Brainiac, he does not view any other being as an intellectual peer.

With its purchase of Blockbuster Video, it now runs the Blockbuster stores and has used its intellectual property agreement to offer streaming and mail-order video services.

With its world famous cityscape, deeply-rooted intellectual tradition, prestigious history, beautiful architecture and central situation, the arrondissement has long been home to French intelligentsia.

With the intellectual benefits of having established Europe's first public education system since classical antiquity Scottish thinkers began questioning assumptions previously taken for granted ; and with Scotland's traditional connections to France, then in the throes of the Enlightenment, the Scots began developing a uniquely practical branch of humanism to the extent that Voltaire said, " We look to Scotland for all our ideas of civilization.

With an eye for future developments he purchased of land and selected the site of Liberal as the home of an experiment in intellectual community living.

In his book With No Apologies, former conservative Republican Senator Barry Goldwater lambasted the discussion group by suggesting it was " a skillful, coordinated effort to seize control and consolidate the four centers of power: political, monetary, intellectual, and ecclesiastical ... the creation of a worldwide economic power superior to the political governments of the nation-states involved.

With Aimé Césaire and Léon Damas, Senghor created the concept of Négritude, an important intellectual movement that sought to assert and to valorize what they believed to be distinctive African characteristics, values, and aesthetics.

With almost 40, 000 students and over 130 fields of study in 15 departments, it is Germany's third largest university and one of the foremost centers of German intellectual life.

With regard to this account of intellectual knowledge, Malebranche was more or less following Saint Augustine.

" With this treatise, John Locke laid one of the most important intellectual foundations of the separation of church and state, which ultimately led to the secular state.

With a growing feeling of nationalism in the country, he returned and founded the journal Türk Yurdu, which sought to become the intellectual force behind the growth of nationalism.

With stream of consciousness and poetic lyrics that evoke emotions and images instead of coherent, intellectual ideas and narratives, Astral Weeks has been described as impressionistic and its blend of folk, blues, jazz, and classical music as " genre-defying ".

With Thomas Paine, William Godwin, Joseph Priestley, Erasmus Darwin, Mary Wollstonecraft, and other men and women interested in art, literature and politics, Fuseli frequented the home of Joseph Johnson, a publisher and prominent figure in radical British political and intellectual life.

With intellectual roots in ancient Greek philosophy, it was advanced by Thomas Aquinas based on an argument against usury, which in his time referred to the making of any rate of interest on loans.

In awarding to Epstein and Silvers its Literarian Award for Outstanding Service to the American Literary Community in 2006, the National Book Foundation stated: " With The New York Review of Books, Robert Silvers and Barbara Epstein raised book reviewing to an art and made the discussion of books a lively, provocative and intellectual activity.

With no university in Queensland at the time, he studied contemporary Australian writing at the intellectual hub in Brisbane at the time, the School of Arts, following the work of A. G. Stephens.

With the arrival of Lanfranc of Pavia, Bec became a focus of 11th century intellectual life.

With the establishment of these universities, focus in specialization has been shifted to newer areas such as intellectual property law, international trade law etc.

The cover of Bennett's acclaimed 2002 memoir, Don't die with the music in you. With journalist Steve Crawley he wrote Don't Die with the Music in You whose title refers to a quote from the American intellectual Oliver Wendell Holmes, Sr. regarding failure to meet one's potential.

With the Arab conquest, specifically during the reign of the dynasty Aghlabids, Kairouan became a renowned intellectual center, attracting many scholars.

With hindsight, one might say that a new note was struck when a controversy about the meaning of the eucharist blew up around Berengar of Tours in the 11th century: hints of a new confidence in the intellectual investigation of the faith that perhaps foreshadowed the explosion of theological argument that was to take place in the 12th century.

With varying degrees of success but with great perseverance, it has continued to support and guide Serb intellectual endeavor, first as a part of the Habsburg Empire and much later in Serbia.

With all his intellectual talents he was devoid of anything Faustian.