Wiktionary
a. 1 Beyond finite. 2 (context mathematics English) Relating to transfinite numbers. n. A transfinite number.
Wikipedia
Transfinite may refer to:
- Transfinite number, a number larger than all finite numbers, yet not absolutely infinite
-
Transfinite induction, an extension of mathematical induction to well-ordered sets
- Transfinite recursion
- Transfinite arithmetic, the generalization of elementary arithmetic to infinite quantities
- Transfinite interpolation, a method in numerical analysis to construct functions over a planar domain so that they match a given function on the boundary
Usage examples of "transfinite".
And we can see now that this also means that mathematics simply issued a transfinite IOU to the Kosmos.
Nobody ever actually sees all of these transfinite sets: they are just a promissory note that allows mathematics both to keep going and to get going in the first place.
Redemption of debt, erasure of guilt, a balancing of the Kosmic books, a release from transfinite insanity.
He gave the impression of residing permanently in a special paradise of transcendental and transfinite numbers and of the hieroglyphs of symbolic logic, for whose manipulations he had a nationally recognized fame among mathematicians.
Those with deep longing for life after death might, it seems, devote them selves to cosmology, quantum gravity, elementary particle phys ics, and, especially, transfinite arithmetic.
DEUS explained this truly remarkable coincidence with sophisticated topological analysis, using the transfinite derivatives of ergodics.
Impossible, of course, without the transfinite self-recursions of collapsium-based computing devices.
Gerhard Gentzen provided a proof of the consistency of arithmetic, but to do it he needed to use a controversial technique known as transfinite induction.
Hebrew alphabet, to notate the transfinite number, any part of which is as large as the whole.
In her coding, this was stated as an equation to be solved with transfinite values.
One branch of physics at the Imperial University on Sigismund contends that hyperspace travel requires, not zero time, but transfinite time, and that this produces the characteristic confusion of both men and computer equipment.
While it may not be infinite, or even transfinite, it is a quantity with which no instrumentation has as yet been able to cope.
If the differential and integral calculus or transfinite arithmetic had been invented in Greece in the fifth century B.
Near the end she discovered the chapter on George Cantor and his discovery of transfinite numbers.
The next question involved imaginary numbers, transfinite numbers, Kantor's number, and several other numbers, all applied to something called lobachevskian geometry.