Examples of 'transfinite' in a sentence
Meaning of "transfinite"
transfinite (adjective) - a mathematical term used to describe quantities that are larger than any natural number but not necessarily the full extent of infinity
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- Beyond finite.
- Relating to transfinite numbers.
- A transfinite number.
How to use "transfinite" in a sentence
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transfinite
They are useful in some transfinite induction proofs.
Transfinite induction works for the entire ordered set.
One may continue into the transfinite.
Transfinite mean value interpolation.
The theory of sets and transfinite arithmetic.
The transfinite cardinal numbers describe the sizes of infinite sets.
He also introduced the concept of transfinite numbers.
Transfinite networks extend the idea of infinite networks even further.
Such networks of infinite networks are called transfinite networks.
Transfinite set theory.
This is an example of a construction by transfinite recursion.
Transfinite ordinal numbers.
This is actually a definition by transfinite recursion.
Transfinite ordinal number.
The proof is by transfinite induction.
See also
This definition extends the concept of indescribability to transfinite levels.
It is the first transfinite ordinal.
Transfinite cardinal number.
Certain fields of mathematics define infinite and transfinite numbers.
Transfinite cardinal numbers.
The idea behind tumblers comes from transfinite numbers.
You got still the Transfinite Paradox project due today.
These give two different generalizations of addition of natural numbers to the transfinite.
We proceed by transfinite induction.
The uniqueness of the sequence satisfying these properties can be proven using transfinite induction.
Fundamental examples of this construction are the transfinite lower central series and upper central series.
The uniqueness of the sequence satisfying these properties can be proved using transfinite induction.
Then transfinite induction tells us that P is true for all ordinals.
Knowledge is transfinite.
There is a transfinite sequence of cardinal numbers,.
These systems are proved refutationally complete by an extension of the transfinite semantic trees technique.
There is no transfinite cardinal falling strictly between ℵ0and c.
The paper attempted to prove that the basic tenets of transfinite set theory were false.
The transfinite is increasable in magnitude, while the absolute is unincreasable.
The Grzegorczyk hierarchy can be extended to transfinite ordinals.
The first transfinite ordinal is ω, the set of all natural numbers.
Georg Cantor shows there are different kinds of infinity and studies transfinite numbers.
When extended to transfinite numbers, these two concepts become distinct.
A Cardinal number of an infinite set is called a Transfinite Cardinal Number.
According to transfinite mathematics, infinite plus infinite equals the Pentalpha.
It measures the strength of such systems as “ arithmetical transfinite recursion ”.
Transfinite numbers, Numbers that are greater than any natural number.
Finally, agents need to have the opportunity to participate in dialogues of transfinite length.
Under the assumption of the axiom of choice, this transfinite sequence includes every cardinal number.
It is the proof theoretic ordinal of several mathematical theories, such as arithmetical transfinite recursion.
The transfinite sequence of Cantor-Bendixson derivatives of X must eventually be constant.
On par with induction, well-founded relations also support construction of objects by transfinite recursion.
Goodstein then did research at Cambridge on transfinite numbers under Littlewood 's supervision.
PRA 's proof theoretic ordinal is ωω, where ω is the smallest transfinite ordinal.
Cardinal and Ordinal Numbers is a book on transfinite numbers, by Polish mathematician Wacław Sierpiński.
