Thus, Olbers ' paradox can not decide between a finite ( e. g. some variants of the Big Bang model ) and an infinite ( Steady State theory or static universe ) solution.

Thus the premises by their nature self collapse, and are regarded in such a paradox as impossible concepts.

Thus the paradox of creating new information, information itself, or creating existence itself and an information system such as a cognitive system into existence from a position of infinitely knowing, becomes a self-refuting argument and defies the listed " omni " attributes.

Thus, it was important to uncover the hidden patterns of circularity, self-reference and paradox within a given set of statements rather that feign objectivity, as such an investigation might allow new perspectives to have influence and new practices to be sanctioned or adopted.

Thus, the paradox of Frederic's birthday in The Pirates of Penzance establishes the surprising fact that a twenty-one-year-old would have had only five birthdays, if he was born on a leap day.

Thus, the so-called blub paradox ( after a hypothetical programming language of average complexity called ' Blub ') says that anyone preferentially using some particular programming language will ' know ' that it is more powerful than some, but not that it is less powerful than others.

Thus, we speak of the " twin paradox ", involving biological aging.

Thus my analysis suggests that this response to the paradox the Standard Bayesian one cannot be correct.

Thus the resolution of Richard's paradox is that there is no way to unambiguously determine exactly which English sentences are definitions of real numbers ( see Good 1966 ).

Thus paraconsistent logics can still be vulnerable to this, even if they are immune to the liar paradox.

Drexler supports a form of the Fermi paradox, arguing that as there is no evidence of alien civilizations, " Thus for now, and perhaps forever, we can make plans for our future without concern for limits imposed by other civilizations.

Thus, the plural logic comprehension schema does not yield Russell's paradox because the quantification of plural variables does not quantify over the domain.

Thus it is a form of being that is aware of and must confront such issues as personhood, mortality and the dilemma or paradox of living in relationship with other humans while being ultimately alone with oneself.

Thus the elves were both the cause and the result of a time paradox, because the legends the High Ones had seen were about their own time-shifted descendants.

Thus any paradox is immediately dissolved.

Thus we still have no explanation for the arrow of time that is defined by the observation that the fluctuation theorem gives correct predictions in the forward direction but not the backward direction, so the fundamental paradox remains unsolved.

Thus, this concept suffers from a chicken and the egg paradox.

Thus, the ontological paradox generated by this event ( that the watch was never built, but simply exists eternally ) is absent.

Thus each possibility seems to imply its own negation-a type of logical paradox.

Thus, the paradox would never occur from the historical viewpoint.

Thus, in 1922, the particular properties of first-order logic that permit Skolem's paradox to go through were not yet understood.

Thus, the paradox of Chicago's development as a city in the 19th century became taking advantage of this geography, but also overcoming its limitations.

Thus, the overall asymmetry in thermodynamics which is at the heart of Loschmidt's paradox is still not resolved by the fluctuation theorem.

Thus, while the paradox may hold at the global level, it need not hold at the local or national level: if one nation increases savings, this can be offset by trading partners consuming a greater amount relative to their own production, i. e., if the saving nation increases exports, and its partners increase imports.

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus with regard to the loss of tradition, in the change from order to disorder the metaphysics of change works itself out as a disruption of the individual soul, a change in which man continues as an objective ontological existent, but no longer as a man.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus Trevelyan repeats the story which pictured Victor Emmanuel as refusing to abandon the famous Statuto at the insistence of General Radetzky.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the government simultaneously undertook the vast burden of social security which had traditionally been privately discharged, and created a national scarcity which has engendered calamitous problems of social security.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

Thus, besides the training provided to youth in school, the existence of the school program can have supplementary benefits to industry which make it an asset to industrial development efforts.

Thus far, the cases which have come before the courts have involved only the issue of referral where the job is vacant due to a strike -- condition ( 1 ) in the Regulation of the Secretary.

Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus some provinces contained tribes which detested each other, and to them independence meant an opportunity for war.

Thus the image of God is that which makes a man a man and not an oyster ; ;

Thus, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.