The asks for an algorithm that takes as input a statement of a first-order logic ( possibly with a finite number of axioms beyond the usual axioms of first-order logic ) and answers " Yes " or " No " according to whether the statement is universally valid, i. e., valid in every structure satisfying the axioms.

No one had realized that set theory had any nontrivial content.

No phenomena which have come under their observation, however, lend support to the theory of ‘ animal magnetism ’.

" in which she took a particularly critical approach to the Murrayite theory, explaining its faults, and looking at the history of the hypotheses ' criticism ; within it she remarked that " No British folklorist can remember Dr Margaret Murray without embarrassment.

" No attempt will here be made even to pass a verdict on the relative claims of the recognized two or three main " schools " of theory, beyond the somewhat obvious finding that, for the purpose in hand, the so-called Austrian school is scarcely distinguishable from the neo-classical, unless it be in the different distribution of emphasis.

No theory, they said – especially when concerning human society or psychology – was capable of reducing phenomena to elemental systems or abstract patterns, nor could abstract systems be dismissed as secondary derivatives of a fundamental nature: systemization, phenomena, and values were part of each other.

" No accepted theory of parapsychology currently exists, and many competing and often conflicting models have been advocated by different parapsychologists in an attempt to explain reported paranormal phenomena.

No other scholar of the history and theory of rhetoric was as widely publicized in the 20th century as McLuhan.

The psychical researcher John Arthur Hill wrote regarding telepathy " No physical theory of telepathy has been worked out — there are no " brain-waves " known, and no receiving stations yet discovered inside our skulls.

No physical theory to date is believed to be precisely accurate.

No matter what its name, demand theory holds that this means that if the unemployment rate gets " too low ," inflation will get worse and worse ( accelerate ) in the absence of wage and price controls ( incomes policies ).

No such planet was ever found, and Mercury's orbit has now been explained by Albert Einstein's theory of general relativity.

* In the Hainish Cycle, while interaction with cultures is rather free, the Planet of Exile mentions the Law of Cultural Embargo, which states: No Religion or Congruence shall be disseminated, no technique or theory shall be taught, no cultural set or pattern shall be exported, nor shall para-verbal speech be used with any non-Communicant high-intelligence lifeform, or any Colonial Planet, until it be judged by the Area Council with the consent or the Plenum that such a planet be ready for Control or for Membership

Rabbi Adin Steinsaltz writes that " If the Bible is the cornerstone of Judaism, then the Talmud is the central pillar ... No other work has had a comparable influence on the theory and practice of Jewish life, shaping influence on the theory and practice of Jewish life " and states:

No particle ( in the Bohm sense of having a defined position and velocity ) exists, according to that theory.

* Aristotle's Organon introduces his theory of syllogisms, which is a logic with a restricted form of judgments: assertions take one of four forms, All Ps are Q, Some Ps are Q, No Ps are Q, and Some Ps are not Q.

* The Economist Has No Clothes – essay by Robert Nadeau in Scientific American on the basic assumptions behind current economic theory

No concrete evidence supporting a conspiracy theory has been presented to date.

The group's third album, Natural Selection, named after Darwinian theory, was released in September 2003 and debuted at No. 15 on the U. S. Billboard charts.

Some philosophers believe that the " no-free-lunch in search and optimization theorem " of David Wolpert and William G. Macready is a probability-based extension of induction, yet this is misleading, as inductive logic accustomed to probabilistic arguments and the No free lunch theorem ( NFL ) is more a variation of economic rational choice theory.

# No one theory can explain all joinings or conversions ;

Fuller information on the naming of months will be found below, but it should be noted that the first month of the year was called Frawardin, and the first day of Frawardin was the ' New Year's Day ' or Nawruz ( also reckoned Now-Ruz, Nowruz, No Roz, No-Rooz, Norouz, or Navroz ), from which all other religious observances were reckoned-this day being, in theory, the day of the Northern vernal equinox, 21 March ( Gregorian ).

No single theory has found universal agreement.

No conclusive theory has yet been formulated as to the origin of Sporadic E. Attempts to connect the incidence of Sporadic E with the eleven-year Sunspot cycle have provided tentative correlations.

No action has been taken, however, on such major problems as ending the fee system, penal reform, modification of the county unit system and in outright banning of fireworks sales.

No request for emergency allotment had yet been received, however.

No orchestra, however, could be expected to follow a singer through quite as many adventures with pitch as Miss Pons encountered last night.

No neuron ever has more than one axon ; however in invertebrates such as insects or leeches the axon sometimes consists of several regions that function more or less independently of each other.

No one has lived in these houses since the time of the Famine, however the families that moved to Dooagh and their descendants, continued to use the village as a ' booley village '.

No larger settlements, however, have been found to have existed in this remote rural area, located at least 15 km from the nearest road even in Roman times, up to the early medieval period when the place is mentioned as a king's mansion for the first time, not long before Charlemagne became ruler of the Germanic Franks.

No president with military background has however been succeeded by a new military president.

No one's ministry, however, can equal that of Christ Jesus in Christian Science.

RCR owns the stylized No. 3 logos used during Earnhardt's lifetime ; however these rights may not prevent a future racing team from using a different No. 3 design.

Parton's soundtrack album from her own 1992 film, Straight Talk, however was less successful, though her 1993 album Slow Dancing with the Moon won critical acclaim, and did well on the charts, reaching No. 4 on the country albums charts, and No. 16 on the Billboard 200 albums charts.

No personal denunciation was made of Erasmus during his lifetime, however, and he took pains to put distance in later life with these earlier episodes by condemning sodomy in his works, and praising sexual desire in the context of marriage between men and women.

No clear line can be drawn, however, between syntax and morphology.

No long range order is present, however there is local ordering with respect to the tetrahedral arrangement of oxygen ( O ) atoms around the silicon ( Si ) atoms.

This does not apply, however, to Members of the Council of State or the State Secretaries. No personal, or mixed, hereditary privileges may henceforth be granted to anyone.

No expensive special press is needed ; however, the reloading press cannot swage all calibers and variants of bullets.

There are traditions in which Muhammad stated that " No one shall enter hell who has an atom of faith in his heart " or that " Hell will not welcome anyone who has in his heart an atom of faith " however these passages are interpreted in different ways.

Other contemporaries, however, found the first movement especially dark, and Reinhold Brinkmann, in a study of Symphony No. 2 in relation to 19th century ideas of melancholy, has published a revealing letter from Brahms to the composer and conductor Vinzenz Lachner in which Brahms confesses to the melancholic side of his nature and comments on specific features of the movement that reflect this.

No legal positivist, however, argues that it follows that the law is therefore to be obeyed, no matter what.

The Kazaa Media Desktop client could be downloaded free of charge ; however, it was bundled with adware and for a period there were " No spyware " warnings found on Kazaa's website.

No substantive reform was introduced, however, until 1986 when the government announced its " new economic mechanism " ( NEM ).

No satellite earth stations ; connected by cable into the French communications system, however since June 1996, Monaco has had a separate country calling code, + 377.