10 ENGLISH BOOKS RELATING TO «TRANSFINITE NUMBER»
Discover the use of
transfinite number in the following bibliographical selection. Books relating to
transfinite number and brief extracts from same to provide context of its use in English literature.
1
Georg Cantor: His Mathematics and Philosophy of the Infinite
After all, it was the ordinals that made precise definition of the transfinite cardinals
possible. And until Cantor had introduced the order types of transfinite number
classes, he could not define precisely any transfinite cardinal beyond the first ...
Joseph Warren Dauben, 1990
2
Eggs-en-Provence: dino : coloriages et jeux : les dinosaures ...
transfinite number, which intuitively may be thought of as an 'infinite number',
requires extending beyond the familiar idea of infinity as endless (and thus
unsurpassable). Also, in resonance with Pimm's (1987) observation regarding
negative ...
3
Logic of Imagination: The Expanse of the Elemental
specifically, all have the same transfinite number. Therefore, it follows that the
ordering of infinities has nothing to do with dimensions. Yet establishing a
positive ordering principle, even establishing the ordering itself of the various
infinities, ...
4
Philosophical Papers, 1896-99
Russell may be referring to passages in 7SSj/ where Cantor shows that the
continuum has cardinality greater than the first transfinite number (p. 308) and
expresses the hope of proving that its cardinality is the second transfinite number,
i.e., ...
Bertrand Russell, Nicholas Griffin, Albert C. Lewis, 1990
5
Contributions to the Founding of the Theory of
Transfinite ...
For just as inside the first number-class, at any finite number, however great, we
always have the same 'power' of greater finite numbers before us, there follows
any transfinite number of any one of the higher number-classes an aggregate of ...
6
Mathematics: The Loss of Certainty
Its number should be the largest that can exist. However, Cantor had shown that
the set of all subsets of a given set must have a larger transfinite number than the
set itself. Hence, there must be a larger transfinite number than the largest one.
7
A Wealth of Numbers: An Anthology of 500 Years of Popular ...
Having demonstrated the existence ofa one-to-one correspondence, we can
conclude that the class of the squares of all the natural numbers has the same
transfinite number as the class of all the natural numbers! This result is not what
might ...
8
Fourteen Papers on Algebra, Topology, Algebraic and ...
sionalities. Suppose that it is true for dimensionalities ind R < a i.e. for any
hicompact R of dimensionality and/? < a we have Ind/? < i£(a). Let R be a
compact of dimensionality and/? < a. If a is an isolated transfinite number, than at
any point ...
9
Numbers: Computers, Philosophers, and the Search for Meaning
For example, does there exist a transfinite number that is strictly bigger than )0
and strictly smaller than ) 1 ? In this case an instance of this in between number is
too big to be put into one-to-one correspondence with the set of natural numbers,
...
10
A New and Modern Holy Bible with the Intelligent Design of ...
With this discovery, he found the next higher transfinite number, א1, which is the
continuum. The continuum of numbers is a higher power. It is the next higher
power compared to any infinite set that is denumerable or א0 . Cantor orders the
...
George D. Shollenberger, 2012
10 NEWS ITEMS WHICH INCLUDE THE TERM «TRANSFINITE NUMBER»
Find out what the national and international press are talking about and how the term
transfinite number is used in the context of the following news items.
Strict Finitism and Transhumanism
For example, strict finitists accept finite sets of natural numbers, rational ... infinite sets and infinite series, real numbers, surreal numbers, transfinite numbers, etc. «h+ Magazine, Dec 14»
George Cantor นักคณิตศาสตร์ผู้ให้กำเนิดทฤษฎีเซ็ต
จะมีก็แต่ Mittag-Leffler นักคณิตศาสตร์ชาวสวีเดนผู้เป็นบรรณาธิการของวารสาร Meta Mathematica เท่านั้นที่กล้านำผลงานเรื่อง “Transfinite Number” ของ Cantor ... «หนังสือพิมพ์ผู้จัดการ, Apr 13»
The Programmer's Guide To The Transfinite
Now you can get to the bottom of the theory and the misconceptions with Aleph Zero and all that, a programmer's view of the transfinite numbers. You may have ... «iProgrammer, Jun 12»
The 'Infinity Room': One of Many Ways to Imagine Infinity
With apprehension, we entered a stark white, brilliantly lit room with no edges. ... perhaps unsurprisingly, infinitely many of these so-called transfinite numbers," ... «LiveScience.com, Feb 12»
Now We Know Why Children Are Getting Dumber
Once mathematicians proved there are transfinite numbers—numbers bigger than infinity—there was really nowhere else to go. Nothing left for math to do but sit ... «Reason Online, Nov 11»
Art Installation, Big As A Warehouse, Turns Data Into A Trippy Other …
Transfinite,? for the record takes its name from the mathematical notion of transfinite numbers, which are bigger than finite numbers, but not absolute infinity. «Co.Design, Jun 11»
Ryoji Ikeda, Park Avenue Armory, NY
Ryoji Ikeda's monster installation “The Transfinite” certainly rocks the senses. ... In mathematics, transfinite numbers occupy a conceptual middle ground ... «Financial Times, May 11»
The Ashtray: Hippasus of Metapontum (Part 3)
Today, we have irrational numbers, imaginary numbers, complex numbers, ideal numbers, transfinite numbers, etc. To name a few. But we are not losing our ... «New York Times, Mar 11»
Dangerous Mystic Motifs in Judaism
It has invented Hell, predestination, being predestined to Hell, the Platonic ideas, the chimera, the sphinx, the abnormal transfinite numbers (where the parts are ... «Huffington Post, Jul 10»
A Short History of Zero
The Muslims called it cipher and made it a real number. ... With infinity came transfinite numbers [e.g. infinity squared or infinity cubed] and imaginary numbers. «American Thinker, Jul 08»
