Though definite proof is lacking, there is evidence that the islands were first discovered by an unrecorded Portuguese expedition before Magellan set sail.

Though probability initially may have had lowly motivations, its modern influence and use is widespread ranging from Evidence based medicine, through Six sigma, all the way to the Probabilistically checkable proof and the String theory landscape.

Though I admire the structured thought of theology ( Anselm's proof in the Fides Quaerens Intellectum, for instance ) it is to religion no more than counterpoint exercises are to music.

Though often employed to show Constantine's Christian sensibilities, this silence cannot be taken as proof that Constantine was a Christian at this point.

Though the success of The Jazz Singer was due largely to Jolson, already established as one of America's biggest music stars, and its limited use of synchronized sound hardly qualified it as an innovative sound film ( let alone the " first "), the movie's profits were proof enough to the industry that the technology was worth investing in.

Though there is no proof of higher qualities of statesmanship in him, by his courage and military skill he enabled the Byzantine nation not merely to survive, but ultimately to beat back the Latin invasion.

Though he could produce witnesses to claim that the two were closely related due to various linking marriages, there was no documentary proof, merely the opinions of courtiers.

Though other side effects are thought to be possibly associated with TMS ( alterations to the endocrine system, altered neurotransmitter and immune system activity ) they are considered investigational and lacking substantive proof.

Though there is still some controversy surrounding this point, to date no-one has offered proof that the episode did NOT air on that date in any US market.

Though repeated frequently, scholars have dismissed the claims as fantasies, and refer to indisputable proof of the Prince's innocence.

Though Frederic Cassidy challenged Dalby's claims, asserting that there is no documentary evidence that any of these African-language words had any causal link with its use in the American press, one can certainly wonder at the fact that this standard of written proof does not account for the illiteracy in which the West African speakers were kept during the period of slavery in question.

Though dead elms also appear in Italian paintings of the late 15th century, this suggestion remains largely speculative, and there is no proof that it was caused by a fungus related to Dutch elm disease.

Though one of his plays, La Huerta de San Juan, is dated 1626, there is no proof that it was begun after his departure from Madrid, and he seems to have written nothing for eight years.

Though these emotions may be provoked by an appeal to emotion fallacy, substantial proof of the argument is not offered, and the argument's premises remain invalid.

Though Vincent may well have been summoned to Royaumont even before 1240, there is no actual proof that he lived there before the return of Louis IX and his wife from the Holy Land, early in the summer of 1254 ; but it is evident that he must have written his work De Eruditione Filiorum Nobilium ( where he styles himself as " Vincentius Belvacensis, de ordine praedicatorum, qualiscumque lector in monasterio de Regali Monte ") after this date and yet before January 1260, the approximate date of his Tractatus Consolatorius occasioned by the death of the king's son Louis that year.

Though the Boneh-Franklin scheme is provably secure, the security proof rests on relatively new assumptions about the hardness of problems in certain elliptic curve groups.

Though the story adds more circumstantial evidence to the theory of Selina's Falcone heritage, establishing that the Falcones ' secondborn daughter was put up for adoption in America, it also supplies no definitive proof.

Though many Native Americans claim their songs are unchanged since ancient times, there is no proof of this ( due to a lack of written records ).

Though these contracts were not legally enforceable, they at least were proof of the loan, which the lender could use to blackmail a defaulter.

Though not a scientist himself, d ' Holbach was scientifically literate and he tried to develop his philosophy in accordance with the known facts of nature and the scientific knowledge of the day, citing, for example, the experiments of John Needham as proof that life could develop autonomously without the intervention of a deity.

Though proof of his actual existence is unclear, if he did exist, he must have been an influential person, because the tribes that lived in what is now Poland were known as " Lestkowici ".

Though, Baudhāyana was not the only Indian mathematician to have provided Pythagorean triplets and proof.

Though there is no proof of the tree ’ s age, it is estimated to be between 1200 and 2000 years old ; or between 2000 and 3000 years old ; or even 4000 years old.

Though the 1983 song " Stronger Than Evil " by Swedish band Heavy Load establishes a case for this band as the first Viking metal group, the roots of Viking metal are generally cited to be later in the Scandinavian metal scene, particularly the death and black metal scenes of the late 1980s.

Though the present archaeological site covered by mudbrick ruins is vast, the site of Samarra was only lightly occupied in ancient times, apart from the Chalcolithic Samarran Culture ( ca 5500 – 4800 BC ) identified at the rich site of Tell Sawwan, where evidence of irrigation — including flax — establishes the presence of a prosperous settled culture with a highly organized social structure.

Though Herbert notes little about Tleilaxu Masters prior to Heretics, the novel establishes that after learning how to restore a ghola's memories in Dune Messiah, the Masters use this knowledge as a form of immortality.

Though initially blind to the truth of matters thanks to her relations with Urquhart, Mattie eventually deduces that Urquhart and his associates are behind the unfortunate downfalls of Collingridge and all of Urquhart's rivals.

Though many believe the shotgun is a great firearm for inexperienced shooters, the truth is, at close range, the spread of shot is not very large at all, and competency in aiming is still required.

Though Crowe at first thinks Cole is delusional, he eventually comes to believe that Cole is telling the truth and that Vincent may have had the same ability to perceive ghosts.

Though for a time these several views were upheld, and though it was doubtful which came nearest the truth, the Church subsequently condemned the first two and approved the third.

Though theologies and religions typically do not claim to be irrational, there is often a perceived conflict or tension between faith and tradition on the one hand, and reason on the other, as potentially competing sources of wisdom, law and truth.

Though many believed it was entirely the support of the queen that enabled them to secure their positions, in truth it was mostly that of Finance Minister Jacques Necker.

Though Cārvākas accepted direct perception as the surest method to prove the truth of anything, they might also have accepted a limited usage of inference.

Though it may be counter-productive to make this point in today's age, this willful blindness to the truth is spectacularly evidenced ...

Though Papacha believes they're all male, in truth, all the Pochis are really female.

Though agonized by the decision, Susan now knows how far Henry is willing to go-if saved, he will likely kill his mother anyway, now that she knows the truth about him.

" Though its meaning is constant in time, the truth value of the statement can vary in time.

Though they require some filling in, enthymemes are intended to have the form of valid deductive syllogisms, so a complete enthymeme has the same premise-premise-conclusion structure as any syllogism, and is intended to guarantee the truth of its conclusion based on the truth of its premises.

Though his approach changed throughout his life, he never lost sight of his ideals of truth in performance and love of art.

Though Pam initially hopes to just get a good story on the new heir, she eventually falls for the unfailingly kind-hearted Deeds, and decides to tell him that she is not who she says she is, but Inside Access, in concert with Cedar ( fed the truth by the " robber ", still suffering from the effects of Deeds " saving " Bennett ) reveals it to Deeds first.

" Though the remark was intended as a political jab, it resonated with truth, as Saltonstall had an uncanny ability to blend his aristocratic lineage with a personable charm which greatly appealed to the average worker and the common man.

Though he still didn't trust Megatron, Orion Pax now knew he had told the truth about Zeta Prime and accepted his proposal that they join forces against him.

Though Stukov was killed by Duran, Admiral DuGalle realized the truth and was able to save the Psi Disruptor from being destroyed, using it to enslave the newborn Overmind.

Though he refuses to speak, she somehow has visions of Peter's modern world and guesses the truth.

In the latter half of the One Year War she took Char Aznable under her wing after Dozle Zabi dismissed Char from his regiment for failing to protect Garma ( Though she would later figure out the truth behind her brother's death and Char's true identity ).

Though he purports to be a " psychic ," in truth it is his exceptional observational skills and near photographic memory that allows him to portray himself as such.

Though he painted landscape of different kinds, his favourite subjects were shore scenes, which he executed with great truth and beauty of aerial effect.

Though the Arbiter does not accept the truth immediately, Gravemind sends the Master Chief to the Covenant city High Charity and the Arbiter to the Halo's control room in order to stop the deluded Covenant from killing all sentient life a second time.

Though the teachings of the Nyingmapa agree that all phenomena lack a self-nature and a substance, according to many Nyingma teachings reducing voidness to a mere absence would be an instance of nihilism, and identifying absolute truth with such an absence would imply that this truth cannot account for the manifestation of Awakening, or even for the manifestation of phenomena ; therefore, they explain voidness as lying in the recognition of the absence of mental constructs that is inherent in the essence of mind in which space and awareness are indivisible, and define absolute truth as consisting in the indivisibility of emptiness and appearances, or of emptiness and awareness.