In mathematical logic, especially set theory and model theory, the back-and-forth method is a method for showing isomorphism between countably infinite...

Knights in Paris, 2002 "Back and Forth", by State Champs from Around the World and Back, 2015 Back-and-forth method, a method of showing isomorphism between...

a back-and-forth method that is also sometimes attributed to Cantor but was actually published later, by Felix Hausdorff. The same back-and-forth method...

Presburger arithmetic Wilkie's theorem Functional predicate T-schema Back-and-forth method Barwise compactness theorem Skolemization Lindenbaum–Tarski algebra...

of power set Boolean-valued model Burali-Forti paradox Cantor's back-and-forth method Cantor's diagonal argument Cantor's first uncountability proof Cantor's...

taught his courses through to their end. On March 31, 1935, after some back and forth, Hausdorff was finally given emeritus status. No words of thanks were...

and other densely ordered countable sets including the dyadic rationals and the algebraic numbers. The proofs of these results use the back-and-forth...

countable random graph can be shown to be ω-categorical through the back-and-forth method. This can be generalized as follows: the unique model of cardinality...

Cantor algebra, Cantor cube, Cantor function, Cantor space, Cantor's back-and-forth method, Cantor–Bernstein theorem, Heine–Cantor theorem Joseph Capgras,...

discipline of model theory, the Ehrenfeucht–Fraïssé game (also called back-and-forth games) is a technique based on game semantics for determining whether...

Round-trip translation (RTT), also known as back-and-forth translation, recursive translation and bi-directional translation, is the process of translating...

his set theory. 1904 - Edward Vermilye Huntington develops the back-and-forth method to prove Cantor's result that countable dense linear orders (without...

Ehrenfeucht formulated the Ehrenfeucht–Fraïssé game, using the back-and-forth method given in Roland Fraïssé's PhD thesis. Also named for Ehrenfeucht...

relations is complete but has no completable formulas and no atomic models. The back-and-forth method can be used to show that any two countable atomic models...

which all vertices have infinite degree, by an argument using the back-and-forth method Graphs with no end Graphs without a subdivision of an infinite clique...

Fraïssé used the back-and-forth method to determine whether two model-theoretic structures were elementarily equivalent. This method of determining elementary...

every vertex in G {\displaystyle G} and H {\displaystyle H} . Thus, by the back-and-forth method, G {\displaystyle G} and H {\displaystyle H} must be isomorphic...

The Forth Bridge is a cantilever railway bridge across the Firth of Forth in the east of Scotland, 9 miles (14 kilometres) west of central Edinburgh....

pairing function Cantor set Cantor space Cantor tree surface Cantor's back-and-forth method Cantor's diagonal argument Cantor's intersection theorem Cantor's...

was developed through the centuries from the ancient and medieval world. The scientific method involves careful observation coupled with rigorous skepticism...

Forth is a stack-oriented programming language and interactive integrated development environment designed by Charles H. "Chuck" Moore and first used by...

information. The method of loci is also known as the memory journey, memory palace, journey method, memory spaces, or mind palace technique. This method is a mnemonic...

ants and local search algorithms have become a preferred method for numerous optimization tasks involving some sort of graph, e.g., vehicle routing and internet...

They are called shakers because the method of creating the sound involves shaking them – moving them back and forth in the air rather than striking them...

Years". The chorus of the song: "Back, back and forth and forth..." is taken from the funk group Cameo's single "Back And Forth". The hook of the song: "Check...

measurement used to assess pain for children between the ages of 2 months and 7 years or individuals that are unable to communicate their pain. The scale...

is a body suspended from a fixed support such that it freely swings back and forth under the influence of gravity. When a pendulum is displaced sideways...

extreme programming, the Extract Method refactoring technique has essentially the same meaning as factoring in Forth; to break down a "word" (or function)...

the index finger and thumb and gently moving one's thumb back and forth across the stone. The action of moving one's thumb back and forth across the stone...

across the plate, different from the back and forth "zig zag" motion seen nowadays. Many different methods have been developed to streak a plate. Picking...