The formal proof reveals exactly the hypotheses required for the theory T in order for the self-contradictory nature of G to lead to a genuine contradiction.

This contradiction reveals Keats's belief that such love in general was unattainable and that " The true opponent to the urn-experience of love is not satisfaction but extinction.

The third seeming contradiction emerges in the third season, with the episode " Five Faces of Darkness, Part Four ", in which Rodimus Prime witnesses Megatron's creation in a flashback, and the animation shows the Constructicons surrounding him, however later fiction reveals that there were many Constructicons on Cybertron, and the ones who made Megatron need not have been the ones who formed Devastator.

A close reading of the debates within SiGNeL ( the Singapore Gay News List ) and the local mass media reveals ideological struggles — and, in particular, gay activists ’ role in these struggles — surrounding a basic contradiction between Singapore's exclusionary laws and practices, and official state rhetoric about active citizenship, social diversity, and gradual liberalization.

In a widely criticized episode, initial online BBC reports of the 7 July 2005 London bombings identified the perpetrators as terrorists, in contradiction to the BBC's internal policy.

This origin stands in contradiction to background information previously hinted at in the cartoon: in the episode Twenty Questions, the Commander told an interviewing journalist that he was responsible for spearheading a mutiny at his military academy in his youth.

( This episode decries sex before marriage as sinful, and has the man's widow ostracised by her parish priest and community on Easter Sunday-in contradiction to other episodes, where prostitution or teenage sex are the basis of Aunt Meg's business.

Another remembered episode for 3rd season was " Requiem For Sergeant McCall "— which was a contradiction to a storyline from the beginning of the show.

Producer Tim Minear comments on the contradiction exhibited by Wolfram & Hart in this episode: they offer to free Angel provided he forget what he knows, yet later hire an assassin to kill him in " Five by Five ".

That Chaplin was unprepared to remain abroad, or that the revocation of his right to re-enter the United States was a surprise to him, may be apocryphal: An anecdote in some contradiction is recorded during a broad interview with Richard Avedon, celebrated New York portraitist.

However, the contradiction of simultaneously upholding tradition and embracing innovations was impossible to resolve and, as a consequence, the clergy continued to lose influence over secular affairs in eighteenth-century New England.

It encompasses the entirety of Australia and New Zealand, and was granted prior title by the Board of the Society to the Australian administered parts of Antarctica, in contradiction of the later claim put forward by the Kingdom of Trimaris.

" variable-rate myth being a contradiction in terms, the purchase price remains forever frozen at twenty-four dollars ," as Edwin G. Burrows and Mike Wallace remarked in their history of New York.

More recently, Lou Lumenick, film critic for the New York Post, wrote, " John M. Stahl's masterful Leave Her to Heaven ( 1945 ) sounds like a contradiction in terms – a film noir in eye-popping Technicolor, with its most chilling scene taking place not in a dimly lit back alley but on a lake in Maine.

The perceived contradiction comes from a misunderstanding of the word " peace " as used in the New Testament.

The contradiction and search for truths explored in New Model Army's lyrics stem from lyricist Justin Sullivan's Quaker and literary upbringing.

Additionally, he states it was adopted by the Thule Society and the New Templars, without citation, and in contradiction to the information supplied by van Helsing and Moon.

They recognized that slavery was a moral issue and not merely an economic interest, and that to recognize it explicitly in their Constitution would be in explosive contradiction to the concept of sovereignty they had set forth in the Declaration of 1776 that `` all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among them are life, liberty and the pursuit of happiness.

Dashiell Hammett resolved this contradiction by ceasing to write mystery stories and turning to other pursuits.

The evident contradiction between the rosy picture of Russia's progress painted by the Communist party's program and the enormous dangers for all humanity posed by Premier Khrushchev's Berlin policy has already led to speculation abroad that the program may be severely altered.

We show this by contradiction by making a program that creates a string that should only be able to be created by a longer program.

This is a manifest contradiction because infinity cannot, by definition, be completed by " successive synthesis " -- yet just such a finalizing synthesis would be required by the view that time is infinite ; so the thesis is proven.

In the early work of Max Planck, Albert Einstein and Niels Bohr, the existence of energy in discrete quantities had been postulated, in order to explain phenomena, such as the spectrum of black-body radiation, the photoelectric effect, and the stability and spectrum of atoms such as hydrogen, that had eluded explanation by, and even appeared to be in contradiction with, classical physics.

A descriptive definition can be shown to be " right " or " wrong " by comparison to general usage, but a stipulative definition can only be disproved by showing a logical contradiction.

The presence of Hegelianism was enormous in the intellectual life of France during the second half of the 20th century with the influence of Kojève and Hyppolite, but also with the impact of dialectics based on contradiction developed by marxists, and including the existentialism from Sartre, etc.

Euclid often used proof by contradiction.

Later ancient commentators such as Proclus ( 410 – 485 CE ) treated many questions about infinity as issues demanding proof and, e. g., Proclus claimed to prove the infinite divisibility of a line, based on a proof by contradiction in which he considered the cases of even and odd numbers of points constituting it.

Euclid frequently used the method of proof by contradiction, and therefore the traditional presentation of Euclidean geometry assumes classical logic, in which every proposition is either true or false, i. e., for any proposition P, the proposition " P or not P " is automatically true.

In particular, it is thought that Euclid felt the parallel postulate was forced upon him, as indicated by his reluctance to make use of it, and his arrival upon it by the method of contradiction.

An anomaly that arose in the late 19th century involved a contradiction between the wave theory of light and measurements of the electromagnetic spectrum emitted by thermal radiators, or so-called black bodies.

This contradiction or proposition is this: that with the billions and billions of star systems in the universe, one would think that intelligent life would have contacted our civilization by now.

A memorable scene in the 1992 film My Cousin Vinny involves the defense lawyer humorously trapping a prosecution witness in a contradiction by using the cooking time of grits.

The witness testifies that his breakfast took him five minutes to prepare, but the lawyer Vincent Gambini, furiously but humorously, traps him in a contradiction by pointing out that the recipe for regular grits requires 20 minutes of preparation time, not five minutes.

Most possibilities led to a contradiction, and the few remaining could be tested by hand.

Hilbert produced an innovative proof by contradiction using mathematical induction ; his method does not give an algorithm to produce the finitely many basis polynomials for a given ideal: it only shows that they must exist.

The cross examiner will assume the witness has been told that and begin asking supporting questions about where the witness was, what time it was, what the witness saw, what they said, and sooner or later upon asking again the witness may use a different word that will give the cross-examiner a chance to ask the question again doubtfully and pointedly implying contradiction.

On the contrary, he maintains that an absolutely chance world would be a contradiction and thus impossible.

Had impeachment by contradiction not been allowed by the rules of evidence, the second attorney would have been barred from presenting the contradicting evidence because he already had his one ( and only ) chance to prove the facts of the case as he claims them to be.

#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.

A problem arises when the former is combined with " S entails S *", leading to a contradiction.

The latter was a result of the Pythagorean theorem and the former the assumption that a + b ≤ c. The contradiction means that it is impossible for both to be true and it is known that the Pythagorean theorem holds.

Here, " Practice " connects " contradiction " with " class struggle " in the following way: Inside a mode of production, there are three realms where practice functions: economic production, scientific experimentation ( which also takes place in economic production and should not be radically disconnected from the former ) and finally, class struggle.

Though Peniston herself, who supported the trio by performing live in the Next In club in Scottsdale, Arizona, did not consider the record as a strong enough to be offered for sale, " Still I " was eventually released as a four track virtual single in September 2007, and the session that was supposed to rejoin the former producers with the singer ended up with an apparent contradiction.