It is worth dwelling in some detail on the crisis of this story, because it brings together a number of characteristic elements and makes of them a curious, riddling compound obscurely but centrally significant for Mann's work.

Even if people do, in a not far distant future, begin to read one another's minds, there will still be the question of whether what you find in another man's mind is especially worth reading -- worth more, that is, than what you can read in good books.

But still, the proposition is worth examination.

Understanding, as he did, the difficulty of the art of poetry, and believing that the `` only technical criticism worth having in poetry is that of poets '', he felt obliged to insist upon his duty to be hard to please when it came to the review of a book of verse.

In proportion to the degradation of his moral worth, is the increase of his worth to them ''.

The game is not worth the ammunition it would cost.

That fact is very clearly illustrated in the case of the many present-day intellectuals who were Communists or near-Communists in their youth and are now so extremely conservative ( or reactionary, as many would say ) that they can define no important political conviction that does not seem so far from even a centrist position as to make the distinction between Mr. Nixon and Mr. Khrushchev for them hardly worth noting.

one who is thoroughly human, who affects no dignity, and who is endowed with real ability, genuine worth, and sterling honesty -- all dedicated to secure the best interests of the country he has loved and served so long.

Last year a boy he knows and helped in Journalism won the Thoroughbred Racing Ass'n Scholarship which is worth $10,000.

The Great Smoky Mountains is another area of the South well worth a visit.

The Black Hills Passion Play is produced every summer and is a pageant worth seeing and shooting.

Consider what you have to earn to be able to spend the $3,000 and your building time is well worth it.

It costs two to three times as much to remove a BTU in summer as it does to add one in winter, so every solitary BTU is worth attention.

If you have an annual or regular physical examination program, is it worth what it is costing you??

But it is worth pondering that very little has been published on any phase of field techniques in linguistics.

Like primitive numbers in mathematics, the entire axiological framework is taken to rest upon its operational worth.

But what is the operational worth of a sociology which mimetically reproduces the idea of physical models??

In this connection it is worth noting how names are sometimes obtained.

Philosophy can prevent the working scientist from becoming slothful and self-content by noting the assumptions and level at which a hypothesis or theory is framed.

The suburban high school, it is worth noting, also is not a widely comprehensive high school because of the absence of vocational programs.

Gershwin collaborated on the original program notes with the critic and composer Deems Taylor, noting that: " My purpose here is to portray the impression of an American visitor in Paris as he strolls about the city and listens to various street noises and absorbs the French atmosphere.

It is worth noting Ian Woods advice that although Gregory provides the fullest information for this period, where it touches Merovingian affairs, he often " allowed his religious bias to determine his interpretation of the events.

Even Poseidon, who normally favors the Greeks, comes to Aeneas ' rescue after he falls under the assault of Achilles, noting that Aeneas, though from a junior branch of the royal family, is destined to become king of the Trojan people.

" Astrophysicist Neil deGrasse Tyson commented on astrological belief, noting that " part of knowing how to think is knowing how the laws of nature shape the world around us.

It is also worth noting that part of the original motivation of the search for stellar parallax was to test the Copernican theory that the Earth revolves around the Sun, but of course the existence of aberration also establishes the truth of that theory.

Madame Armfeldt is surprised, ruefully noting that she rejected love for material wealth at Fredrika's age.

An easy way to measure this is by noting the consonant's voice onset time, as the voicing of a following vowel cannot begin until the vocal cords close.

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

It is worth noting that Alma doesn't actually compare faith to a seed, he compares the word to a seed, although this is a common misconception.

You can see this in the quote above from the Supreme Court where the Court is noting that while the black letter law is clear, New York precedent deviates from the general principles.

It is worth noting, however, that steals of home are not officially recorded statistics, and, thus, must be researched through individual game accounts.

In these three earliest illustrations of the pastime it is worth noting that each player has one bowl only, and that the attitude in delivering it was as various five or six hundred years ago as it is to-day.

Considering Dio must have read Tacitus, it is worth noting he mentions nothing about suicide ( which was also how Postumus and Nero ended their lives ).

In February 1922, Winston Churchill telegraphed Herbert Samuel asking for cuts in expenditure and noting: In both Houses of Parliament there is growing movement of hostility, against Zionist policy in Palestine, which will be stimulated by recent Northcliffe articles.

The Coast Guard is also officially skeptical of the Triangle, noting that they collect and publish, through their inquiries, much documentation contradicting many of the incidents written about by the Triangle authors.

Hofstadter also noted that " sexual freedom " is a vice frequently attributed to the conspiracist's target group, noting that " very often the fantasies of true believers reveal strong sadomasochistic outlets, vividly expressed, for example, in the delight of anti-Masons with the cruelty of Masonic punishments.

Confucius never stated whether man was born good or evil, noting that ' By nature men are similar ; by practice men are wide apart ' — implying that whether good or bad, Confucius must have perceived all men to be born with intrinsic similarities, but that man is conditioned and influenced by study and practise.

In addition to the incompleteness of science and the completeness of metaphysics, they differ in that science is essentially descriptive, while philosophy in its inherited forms, tends to be goal-oriented, teleological and prescriptive.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

There is thus, on the one hand, the notion of completeness of a deductive system and on the other hand that of completeness of a set of non-logical axioms.

For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.

Then, since every real is the limit of some Cauchy sequence of rationals, the completeness of the norm extends the linearity to the whole real line.

It is ' naive ' in that the language and notations are those of ordinary informal mathematics, and in that it doesn't deal with consistency or completeness of the axiom system.

The additional subtlety to contend with is that it is not logically permissible to use the completeness of the real numbers in their own construction.

Note that completeness is a property of the metric and not of the topology, meaning that a complete metric space can be homeomorphic to a non-complete one.

Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

Logic is the study of the principles of valid reasoning and inference, as well as of consistency, soundness, and completeness.

His axioms, however, do not guarantee that the circles actually intersect, because they do not assert the geometrical property of continuity, which in Cartesian terms is equivalent to the completeness property of the real numbers.

By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic.

In August 1970, Gödel told Oskar Morgenstern that he was " satisfied " with the proof, but Morgenstern recorded in his diary entry for 29 August 1970, that Gödel would not publish because he was afraid that others might think " that he actually believes in God, whereas he is only engaged in a logical investigation ( that is, in showing that such a proof with classical assumptions ( completeness, etc.

Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic.

To formally state, and then prove, the completeness theorem, it is necessary to also define a deductive system.

A deductive system is called complete if every logically valid formula is the conclusion of some formal deduction, and the completeness theorem for a particular deductive system is the theorem that it is complete in this sense.

Thus, in a sense, there is a different completeness theorem for each deductive system.

A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.