The personal quality of Samuel Beckett is similar to qualities I had found in the plays.

The career of Charles 12, is obviously very similar to that of Napoleon.

A similar amateurish characteristic is revealed in Adams' failure to check the accuracy and authenticity of his informational sources.

But there is, nevertheless, always a subtle difference in the way in which supposedly similar opinions are held.

First of all there is ample area in East Greenwich already zoned in the classification similar to that which petitioner requested.

What was missing in the Governor's argument, as in so many similar arguments, was a premise which would enable one to make the ethical leap from what might be militarily desirable to what is right.

Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.

The resulting setup, it was declared, `` would be similar to that which is in successful operation in a number of metropolitan counties as large or larger than Rhode Island ''.

Super-Set No. 2 is made up of similar exercises, but this time done with dumbbells, and using both `` moon '' and flat benches.

Chuck a length of 1/8'' '' dia. drill rod into a drill press or some similar turning device and while it is rotating file the end square and then file a slight taper 1/8'' '' long.

There is the free intra-city `` rent it here, leave it there '' service, as an example, the free delivery and collection at the airport, dockside or your hotel, luggage racks, touring documents and information and other similar services.

There is one exception to the above statement as has been pointed out, and that is that fluids can relax by flowing into fields of lower rates of shear, so the statement should be modified by stating that the mechanics are similar.

) This is, of course, a similar type of behavior to that indicated by birefringence studies.

The life history of the alkali bee is similar to that of Andrena, but the first activity of the adults does not take place until summer, and the individuals hibernate in the prepupal stage.

In litters of eight mice from similar parents, the number of mice with straight instead of wavy hair is an integer from 0 to 8.

This theorem is similar to the theorem of Kakutani that there exists a circumscribing cube around any closed, bounded convex set in Af.

In hunger stimulates man too the situation is very similar.

) These general facts are mentioned to make clear that the total situation in the two families is similar enough to warrant comparison.

It will be seen that where the scope is similar, the Athabascan ratios come out somewhat higher ( as indeed they ought to with a total ratio of 2.8 as against 3.5 or 4: 5 ) except for verbs, where alone the Athabascan ratio is lower.

For example, suppose another excess profits tax similar to prior laws is enacted, providing for carryover of excess profits credits.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

A variant of redundancy theory is the disquotational theory which uses a modified form of Tarski's schema: To say that '" P " is true ' is to say that P. A version of this theory was defended by C. J. F. Williams in his book What is Truth ?.

The analysis of logical concepts and the machinery of formalization that is essential to Principia Mathematica ( 3 vols., 1910 – 1913 ) ( by Bertrand Russell, 1872 – 1970, and Alfred North Whitehead, 1861 – 1947 ), to Russell's theory of descriptions, to Kurt Gödel's ( 1906 – 1978 ) incompleteness theorems, and to Alfred Tarski's ( 1901 – 1983 ) theory of truth, is ultimately due to Frege.

This is closely related to Tarski's indefinability theorem.

It was Tarski who stated the result in its most general form, and so the theorem is often known as Tarski's fixed point theorem.

Tarski's circle-squaring problem is the challenge, posed by Alfred Tarski in 1925, to take a disc in the plane, cut it into finitely many pieces, and reassemble the pieces so as to get a square of equal area.

Unlike the generalized solution to Tarski's circle-squaring problem, the axiom of choice is not required for the proof, and the decomposition and reassembly can actually be carried out " physically "; the pieces can, in theory, be cut with scissors from paper and reassembled by hand.

Ultimately, the reason for this weakening is that whereas the model-theoretic satisfaction relation can be defined, truth itself cannot, due to Tarski's theorem.

There is a subtlety about this definition: by Tarski's undefinability theorem it is not in general possible to define the truth of a formula of set theory in the language of set theory.

In mathematics, the Tarski's theorem, proved by Alfred Tarski, states that in ZF the theorem " For every infinite set A, there is a bijective map between the sets A and A × A " implies the axiom of choice.

The sentences whose existence is secured by the diagonal lemma can then, in turn, be used to prove fundamental limitative results such as Gödel's incompleteness theorems and Tarski's indefinability theorem.

Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics.

Tarski's undefinability theorem: There is no L-formula True ( n ) which defines T *.

A semantic proof of Tarski's theorem from Post's theorem is obtained by reductio ad absurdum as follows.

Tarski's undefinability theorem ( general form ): Let ( L, N ) be any interpreted formal language which includes negation and has a Gödel numbering g ( x ) such that for every L-formula A ( x ) there is a formula B such that B ↔ A ( g ( B )) holds.

The proof of Tarski's undefinability theorem in this form is again by reductio ad absurdum.

Hence Tarski's theorem is much easier to motivate and prove than the more celebrated theorems of Gödel about the metamathematical properties of first-order arithmetic.

Tarski's theorem, on the other hand, is not directly about mathematics but about the inherent limitations of any formal language sufficiently expressive to be of real interest.

The broader philosophical import of Tarski's theorem is more strikingly evident.

Tarski's theorem then generalizes as follows: No sufficiently powerful language is strongly-semantically-self-representational.

Recognizing that the Rule of Law is `` a dynamic concept which should be employed not only to safeguard the civil and political rights of the individual in a free society '', the Congress asserted that it also included the responsibility `` to establish social, economic, educational and cultural conditions under which his legitimate aspirations and dignity may be realized ''.

The content is not the same, however: rather than individual security, it is the security and continuing existence of an `` ideological group '' -- those in the `` free world '' -- that is basic.

To him, law is the command of the sovereign ( the English monarch ) who personifies the power of the nation, while sovereignty is the power to make law -- i.e., to prevail over internal groups and to be free from the commands of other sovereigns in other nations.

An order can be chanced rather than chosen, and this approach produces an experience that is `` free and discovered rather than bound and remembered ''.

Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.

Hence the prime issue, as I see it, is whether a democratic or free society can master technology for the benefit of mankind, or whether technology will rule and develop its own society compatible with its own needs as a force of nature.

At that point we reach the `` closed '' historical situation: the situation in which man is no longer free to return to a status quo ante.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Although we continue to pay our conversational devotions to `` free private enterprise '', `` individual initiative '', `` the democratic way '', `` government of the people '', `` competition of the marketplace '', etc., we live rather comfortably in a society in which economic competition is diminishing in large areas, bureaucracy is corroding representative government, technology is weakening the citizen's confidence in his own power to make decisions, and the threat of war is driving him economically and physically into the ground ''.

The new spirit, so well illustrated by Mr. Lyford's work, is wholly free of this anxiety.

The Agreeable Autocracies is an attempt to explore some of the institutions which both reflect and determine the character of the free society today.

It is not implied that formal principles and procedures are so firmly entrenched within the public order of the world community or even of free commonwealths that they will control in all circumstances involving Jews and Gentiles during coming years.

Even to be `` from hope and fear set free '' is at least better than to have lost the first without having got rid of the second.

`` This '', he said, `` is exactly what has been happening between the politically free nations in the postwar world.

What is required is the full implementation of Article 2 of the Treaty, which provides: `` The Parties will contribute toward the further development of peaceful and friendly international relations by strengthening their free institutions, by bringing about a better understanding of the principles upon which these institutions are founded, and by promoting conditions of stability and well-being.

That time is now past and the Atlantic nations, if they are to survive, must develop a full-fledged community, and they must also look beyond the frontiers of `` Western civilization '' toward a world-wide `` concert of free nations ''.

The burden of these reflections is that a broader unity among the free nations is at the core of our needs.