How to use transfinite in a sentence

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Sentence Examples In 1905 Bernstein published an important article on transfinite ordinal numbers. In 1902 Zermelo published his first work on set theory which was on the addition of transfinite cardinals. This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts. He denoted the number of natural numbers by the transfinite number. An entire chapter is devoted to cleavages, and another to infinity, beginning with Zeno's paradoxes and leading up to Cantor's transfinite cardinals. We prove completeness results and algebraicity results for the poset of real traces and for the poset transfinite traces. The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals. A reversible and rhythmic time formed by the pulse of the wave that continuously weaves the transfinite. Firstly, we would define two major infinites, one infinite in act also called transfinite and one infinite in being. The major achievement of the Grundlagen was its presentation of the transfinite numbers as an autonomous and systematic extension of the natural numbers. The use of transfinite induction is made clearly visible in the 1938 paper through an ordinal notation. He extended Peano arithmetic through transfinite ordinals and made the transfinite induction principle part of this extended calculus. By the smallest transfinite cardinal number he meant the cardinal number of any set that can be placed in one-to-one correspondence with the positive integers. And continuation into the transfinite is conceivable. It is then shown that if transfinite induction to an ordinal number is derivable, this ordinal number cannot be greater than the value of the derivation. Examples from Classical Literature Operational instructions, too, were transmitted and were acted upon with thought's transfinite speed. And he has occupied himself in comparing these transfinite cardinal numbers. Diversity is finite although it may be admitted to be transfinite, or greater than any assignable value. Yet it is transfinite in the sense that it transcends the comprehension of finite minds or processes. The book opens with a crystal-clear introduction to Cantor's infinite ladder of transfinite numbers. This twofold structure Lester simplifies into the categories of transfinite and finite hope. It is usually neglected that this implies a transfinite amount of external observer time must elapse for this to occur. Even so, he spent much of his later life addressing ancient and scholastic objections to his own transfinite number theory. These range from the discrete finite physical meaning at inanimate levels and extend to transfinite continuous interactions, modulated in sentient beings in the brain. Find more words! 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Use our Sentence Generator Nearby Words transfiguring transfigures transfigured transfigure transfigurations Transfiguration transfix transfixed transfixes transfixing transfixion transform 11-letter Words Starting With t tr tra tran trans transf transfi transfin transfini transfinit