In set theory, Easton's theorem is a result on the possible cardinal numbers of powersets. Easton (1970) (extending a result of Robert M. Solovay) showed...

name of BRG Sports Easton Helsinki, shopping centre in Helsinki, Finland Easton Press, American book publisher Easton's theorem Easton (horse) Eastern (disambiguation)...

William Bigelow Easton was an American mathematician who proved Easton's theorem about the possible values of the continuum function. His advisor at Princeton...

other inequality, λ ≤ cf(κ)·κ = κ. According to Easton's theorem, the next consequence of Kőnig's theorem is the only nontrivial constraint on the continuum...

limit (i.e. its least upper bound) is κ {\displaystyle \kappa } (see Easton's theorem). As per the definition above, ℵ ω {\displaystyle \aleph _{\omega }}...

theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...

König's theorem. For regular cardinals κ {\displaystyle \kappa } , ℷ ( κ ) = 2 κ {\displaystyle \gimel (\kappa )=2^{\kappa }} , and Easton's theorem says...

Zermelo–Fraenkel axioms together with the axiom of choice (ZFC). Indeed, Easton's theorem shows that, for regular cardinals κ {\displaystyle \kappa } , the only...

GCH is not provable from ZFC. W. B. Easton used the method of forcing developed by Cohen to prove Easton's theorem, which shows it is consistent with ZFC...

context of forcing to prove independence results in set theory such as Easton's theorem. Let M ⊨ {\displaystyle M\models } ZFC be transitive, ( P , < ) {\displaystyle...

set theory E E(X) is the membership relation of the set X Easton's theorem Easton's theorem describes the possible behavior of the powerset function on...

ZFC may be any uncountable cardinal of uncountable cofinality (see Easton's theorem). The continuum hypothesis postulates that the cardinality of the continuum...

Cantor's Theorem and König's Theorem), were the only Z F C {\displaystyle {\mathsf {ZFC}}} -provable restrictions (see Easton's Theorem). Easton's work was...

cardinality. Continuum hypothesis Cardinality of the continuum Beth number Easton's theorem Gimel function Cody, Brent; Magidor, Menachem (February 2014). "On...

2^{|\omega |}<2^{|x|}} . See continuum hypothesis and the related Easton's theorem. So in this context with Exponentiation, first-order arithmetic has...

formula for "sufficiently nice" functions is given by the Fourier inversion theorem, i.e., Inverse transform The functions f {\displaystyle f} and f ^ {\displaystyle...

finitely axiomatizable, while ZFC and MK are not. A key theorem of NBG is the class existence theorem, which states that for every formula whose quantifiers...

("decision problem"), the Frege–Church ontology, and the Church–Rosser theorem. Alongside his doctoral student Alan Turing, Church is considered one of...

Holt he developed the CHSH inequality for experimentally testing Bell's theorem (the test was conducted in 1972 by John Clauser and Stuart Freedman). In...

thought to have been lost (the Ostomachion and the Method of Mechanical Theorems) and the only surviving original Greek edition of his work On Floating...

mathematical field of graph theory, in which he proved Kirchhoff's matrix tree theorem. Gesammelte Abhandlungen (in German). Leipzig: Johann Ambrosius Barth....

Ne'Kiya Jackson each independently created new proofs for the Pythagorean theorem using trigonometry. It had previously been thought to be impossible for...

the method of exhaustion to derive and rigorously prove many geometrical theorems, including the area of a circle, the surface area and volume of a sphere...

In 1964, William B. Easton used forcing to build a model of NBG with global choice replaced by the axiom of choice. In Easton's model, V cannot be linearly...

theory and the dependency theory. These were the descendants of David Easton's system theory in international relations, a mechanistic view that saw all...

George Theorems. Edenhofer, Ottmar (25 June 2013). "Financing Public Capital Through Land Rent Taxation: A Macroeconomic Henry George Theorem". CESifo...

topological Euler characteristic and by the Thom–Hirzebruch signature theorem c 1 2 ( X ) = 2 e ( X ) + 3 σ ( X ) {\displaystyle c_{1}^{2}(X)=2e(X)+3\sigma...

Robert Soare and Carl Jockusch to prove, among other results, the low basis theorem. Here P is the set of nonempty Π 1 0 {\displaystyle \Pi _{1}^{0}} subsets...

majority rule, demonstrated in Arrow's impossibility theorem and the McKelvey–Schofield chaos theorem, meant that "populist" interpretations of democracy...

own common sense and not by using mathematical formulae, such as Bayes' theorem, so as to avoid "confusion, misunderstanding and misjudgment". In R v Bates...