Gch is an English word of 3 letters. Below you'll find 6 example sentences showing how it's used in practice.
Gch meaning
Initialism of Knight Grand Cross of Hanover
Using Gch
- The main meaning on this page is: Initialism of Knight Grand Cross of Hanover
- In the example corpus, gch often appears in combinations such as: gch implies, and gch, gch are.
Context around Gch
- Average sentence length in these examples: 26.3 words
- Position in the sentence: 2 start, 4 middle, 0 end
- Sentence types: 6 statements, 0 questions, 0 exclamations
Corpus analysis for Gch
- In this selection, "gch" usually appears in the middle of the sentence. The average example has 26.3 words, and this corpus slice is mostly made up of statements.
- Around the word, thus, zfc, implies, fails and axioms stand out and add context to how "gch" is used.
- Recognizable usage signals include ac and gch are false and ac and gch are independent. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "gch" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.
Example types with gch
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
GCH implies that this strict, stronger inequality holds for infinite cardinals as well as finite cardinals. (16 words)
Also Wacław Sierpiński proved that ZF + GCH (the generalized continuum hypothesis ) imply the axiom of choice and hence a well order of the reals. (24 words)
As GCH implies CH, Cohen's model in which CH fails is a model in which GCH fails, and thus GCH is not provable from ZFC. (26 words)
Paul Cohen later constructed a model of ZF in which AC and GCH are false; together these proofs mean that AC and GCH are independent of the ZF axioms for set theory. (32 words)
Michael Hill, Executive Director of Customer Experience from GCH said: "It is a really proud moment for GCH to launch Northgate Mansions at such a key site in the city. (30 words)
Nonetheless, it is possible to show that the ZFC+GCH axioms alone are not sufficient to prove the existence of a definable (by a formula) well order of the reals. (30 words)
Example sentences (6)
As GCH implies CH, Cohen's model in which CH fails is a model in which GCH fails, and thus GCH is not provable from ZFC.
Michael Hill, Executive Director of Customer Experience from GCH said: "It is a really proud moment for GCH to launch Northgate Mansions at such a key site in the city.
Paul Cohen later constructed a model of ZF in which AC and GCH are false; together these proofs mean that AC and GCH are independent of the ZF axioms for set theory.
Also Wacław Sierpiński proved that ZF + GCH (the generalized continuum hypothesis ) imply the axiom of choice and hence a well order of the reals.
GCH implies that this strict, stronger inequality holds for infinite cardinals as well as finite cardinals.
Nonetheless, it is possible to show that the ZFC+GCH axioms alone are not sufficient to prove the existence of a definable (by a formula) well order of the reals.
Common combinations with gch
These word pairs occur most frequently in English texts: