Get to know Unprovability better with 5 real example sentences, the meaning.
Unprovability in a sentence
Unprovability meaning
The condition of being unprovable
Using Unprovability
- The main meaning on this page is: The condition of being unprovable
- In the example corpus, unprovability often appears in combinations such as: own unprovability.
Context around Unprovability
- Average sentence length in these examples: 26.2 words
- Position in the sentence: 1 start, 1 middle, 3 end
- Sentence types: 5 statements, 0 questions, 0 exclamations
Corpus analysis for Unprovability
- In this selection, "unprovability" usually appears near the end of the sentence. The average example has 26.2 words, and this corpus slice is mostly made up of statements.
- Around the word, own and showing stand out and add context to how "unprovability" is used.
- Recognizable usage signals include its own unprovability and of the unprovability of the. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "unprovability" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.
Example types with unprovability
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Diagonalization The next step in the proof is to obtain a statement which, indirectly, asserts its own unprovability. (18 words)
However, we know that the sequent calculus is complete with respect to natural deduction, so it is enough to show this unprovability in the sequent calculus. (26 words)
This was done by a direct proof of the unprovability of the principle of transfinite induction, used in his 1936 proof of consistency, within Peano arithmetic. (26 words)
This sentence does not directly refer to itself, but when the stated transformation is made the original sentence is obtained as a result, and thus this sentence indirectly asserts its own unprovability. (32 words)
Thus, showing unprovability is much easier, because there are only a finite number of cases to consider, and each case is composed entirely of sub-propositions of the conclusion. (29 words)
However, we know that the sequent calculus is complete with respect to natural deduction, so it is enough to show this unprovability in the sequent calculus. (26 words)
Example sentences (5)
Diagonalization The next step in the proof is to obtain a statement which, indirectly, asserts its own unprovability.
However, we know that the sequent calculus is complete with respect to natural deduction, so it is enough to show this unprovability in the sequent calculus.
This sentence does not directly refer to itself, but when the stated transformation is made the original sentence is obtained as a result, and thus this sentence indirectly asserts its own unprovability.
This was done by a direct proof of the unprovability of the principle of transfinite induction, used in his 1936 proof of consistency, within Peano arithmetic.
Thus, showing unprovability is much easier, because there are only a finite number of cases to consider, and each case is composed entirely of sub-propositions of the conclusion.
Common combinations with unprovability
These word pairs occur most frequently in English texts: