These were avoided in PM by building an elaborate system of types: a set of elements is of a different type than is each of its elements ( a set is not an element ; one element is not the set ) and one cannot speak of the " set of all sets " and similar constructs, which would lead to paradoxes ( see Russell's paradox ).

These types of paintings were far more demanding than the informal portraits upon which Anguissola had based her early reputation, as it took a tremendous amount of time and energy to render the many intricate designs of the fine fabrics and elaborate jewelry associated with royal subjects.

These prizes are often rather elaborate, ornate gifts, such as giant cups, decorative plates, and statuettes.

These instruments are all more or less elaborate developments of the " logical slate ", on which were written in vertical columns all the combinations of symbols or letters that could logically be made out of a definite number of terms.

These differing results between simple surveys, and more elaborate interviews and psychological reviews, are revealing of some of the difficulties in trying to measure the psychological impact of vasectomy on men.

These are large, elaborate tombs of finely-cut stone, such as could only have been built by the highest-ranking members of a wealthy society.

These elaborate correction processes tend to be based on empirical relationships that may change with time, so that continuous vigilance is required in order to obtain chemical data of adequate precision.

These valentines consisted of elaborate arrangements of small seashells glued into attractive symmetrical designs, which were encased on a wooden ( usually octagonal ) hinged box-frame.

These arrangements showed great insight into the rhythm, harmony and types of song, although the key signatures and elaborate textures of the piano accompaniments were not as idiomatic.

These games are like the 4-player games, but generally more elaborate.

These types continued to develop, with increasing elaborate patterns of decoration, undulating rims, and flat bottoms so that they could stand on a surface.

These are made of straw and wood, painted, and dressed in elaborate, many-layered textiles.

These later developed into more elaborate designs, in the Irregular Polygon series ( 67 ), for example.

These related, but separate, traditions also gave birth to elaborate schools of bronze and brass sculpture in the area.

These criticisms mean that his most elaborate discussions came forty years too late, for they were concerned with problems which agitated the middle rather than the end of the 19th century.

These doors were not finished until 1469 ; their reliance on a few figures placed in simple, orderly compositions against a flat ground, contrasts sharply with the elaborate pictorial effects of Lorenzo Ghiberti's more famous Baptistery doors.

These operas are presented in staged productions that range in style from those with elaborate traditional decors to others that feature modern conceptual designs.

These carriages were on four wheels often and were pulled by two to four horses depending on how they were decorated ( elaborate decoration with gold lining made the carriage heavier ).

These birds are permanent residents, and unlike the migratory orioles that breed in the US, the species is " sexually monomorphic " -- both the males and the females have elaborate coloration and patterning.

These tend to include elaborate stage lighting ; an image magnification ( IMAG ) system and / or pre-recorded video ; inflatables, artwork or other set pieces ; various special effects such as theatrical smoke and fog and pyrotechnics ; and unusual costumes or wardrobe.

These elaborate celebrations give Bristol its nickname, " America's most patriotic town ".

These featured less elaborate ensembles and simpler songs for less classically trained singers than the European-style operettas that had dominated his earlier career.

These elaborate censers were designed with apertures that made rising incense smoke appear like clouds or mist swirling around a mountain peak.

These relations were highly elaborate and ritualized in a complexity that was steeped in a framework of tradition, which stemmed from theories of etiquette derived out of chivalry as a moral code of conduct.

These representations rely on presenting scenes directly to the eye for their own visible sake.

These humble scenes deal with simple, everyday activities, yet they also have functioned as a source of documentary information about a level of French society not hitherto considered a worthy subject for painting.

These were usually assembled with the addition of deleted scenes, sometimes adding as much as a half-hour to the length of the film without regard to pacing and storytelling.

These were the key discoveries that made all non-live or non live-on-videotape narrative motion pictures and television possible — that shots ( in this case whole scenes since each shot is a complete scene ) can be photographed at widely different locations over a period of time ( hours, days or even months ) and combined into a narrative whole.

These frescoes depict scenes of the life and society of ancient Greece, and constitute valuable historical testimonials.

These cut scenes can be seen in the Japanese theatrical trailer.

These often opened with the show's main title logo within the teaser scene ; from season four onward, the show began using an anthropomorphic version of the logo in the opening scenes, using various animations.

These scenes were shown after the credits, but were reinserted during the film in the Extended Cut.

These later series make extensive use of specific street and garden locations in most episodes, particularly for scenes involving the Meldrew's neighbours.

These scenes brought him great fame in Florence.

These three cities formed the backbone of the burgeoning movement, but there were also other scenes in a number of cities such as Brisbane and Boston.

These included scenes showing the Terminator outside Sarah Connor's apartment, Reese being zipped into a body bag, and the Terminator's head being crushed in a press.

These scenes are available on the DVD release.

These numbers brought an epic quality to the battle scenes.

The music video for " These Are the Days of Our Lives " contain Mercury's final scenes in front of the camera.

These scenes are criticized as contemporary revisionism, a token to the widespread antiwar sentiment of the time ( it was released during the apex of U. S. involvement in the Vietnam War ).

These intimate family scenes are, however, in contrast to the ' licentious ' style, as seen in his Odalisque portraits.

These critics admit his ability to evoke powerful and moving crowd scenes but argue that he lacked the ability to create memorable characters, in the manner of Honoré de Balzac or Charles Dickens and the ability to make his characters true to life.

These takes often include meticulously choreographed and complicated scenes involving many actors.

These were remade after the war, but now sport a modern geometrical pattern, not the old scenes of the Bible.

These two kinds of scenes and techniques became the classical styles of Chinese landscape painting.

These are five lancets, each high and glazed with grey ( grisaille ) glass, rather than narrative scenes or symbolic motifs that are usually seen in medieval stained glass windows.

These scenes are parodies of similar scenes in movie serials, such as The Perils of Pauline ( 1914 ) starring actress Pearl White.

These scenes show the maenads in their frenzy running in the forests, often tearing to pieces any animal they happen to come across.