Spanish-English dictionary, translator, and learning English dictionary and learning for Spanish speakers These are words often used in combination with consistency. Gödel’s theorem applies to the theories of Peano arithmetic (PA) and primitive recursive arithmetic (PRA), but not to Presburger arithmetic.
But the problem for Rubin is that, as he noted in November, there is no longer the consistent buying that has been present for the past several months. But even as doctors see a path to eliminate this type of cancer, they have battled with limited access to early, consistent screening and care. In sports, achieving and maintaining consistency is the key to sustained success. The athlete’s unwavering consistency in performance was unmatched.24.
The team’s consistency in meeting deadlines impressed their clients.11. Product consistency is essential to meet customer expectations.10. The chef’s success is attributed to the unwavering consistency of his dishes.9. The consistency of her performance throughout the project was admirable.7. The success of a diet plan relies on the consistency of healthy eating habits.6.
If there exists a deductive system for which these semantic and syntactic definitions are equivalent for consistency meaning any theory formulated in a particular deductive logic, the logic is called complete.citation needed The completeness of the propositional calculus was proved by Paul Bernays in 1918citation needed and Emil Post in 1921, while the completeness of (first order) predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931). Thus the consistency of a sufficiently strong, recursively enumerable, consistent theory of arithmetic can never be proven in that system itself. A consistent theory is one such that the following logically equivalent conditions hold If T is a theory and A is an additional axiom, T + A is said to be consistent relative to T (or simply that A is consistent with T) if it can be proved thatif T is consistent then T + A is consistent. Because consistency of ZF is not provable in ZF, the weaker notion relative consistency is interesting in set theory (and in other sufficiently expressive axiomatic systems). The same result is true for recursively enumerable theories that can describe a strong enough fragment of arithmetic—including set theories such as Zermelo–Fraenkel set theory (ZF).
- Building a brand requires maintaining consistency in messaging and visuals.12.
- Gödel’s incompleteness theorems show that any sufficiently strong recursively enumerable theory of arithmetic cannot be both complete and consistent.
- Definition of consistency noun from the Oxford Advanced American Dictionary
- Financial consistency is crucial for long-term financial planning.21.
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- The chef’s success is attributed to the unwavering consistency of his dishes.9.
The artist’s consistency in producing high-quality artwork gained them a loyal following.5. A well-written document should have consistency in style, grammar, and formatting.4. The athlete’s consistent training regimen contributed to their exceptional performance in the competition.3. The teacher recognized the student’s consistent effort and improvement in their academic performance. A strong team is built on the consistency of communication and collaboration.6. The chef’s culinary creations are praised for their consistency in flavor and presentation.5.
Examples of consistency in a Sentence
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To add consistent to a word list please sign up or log in. To add consistency to a word list please sign up or log in. These set theories cannot prove their own Gödel sentence—provided that they are consistent, which is generally believed. Such a theory is consistent if and only if it does not prove a particular sentence, called the Gödel sentence of the theory, which is a formalized statement of the claim that the theory is indeed consistent.
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The consistency of his behavior in difficult situations earned him respect.18. Achieving consistency in flavor is the goal of any seasoned cook.16. The athlete’s remarkable consistency in winning races is a testament to their skill.14. The consistency of her dedication to the cause is truly inspiring.13. Building a brand requires maintaining consistency in messaging and visuals.12.
“He will crave greatness and real consistency. He will fine-tune that balance.” What’s so unique about where Equinox stands against that backdrop is that what’s real is about hard work, the consistency, the discipline that’s required to show up and fuel that transformation. Examples are provided to illustrate real-world usage of words in context. Definition of consistency noun from the Oxford Advanced Learner’s Dictionary
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This is what consistent meant in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. A trivial theory (i.e., one which proves every sentence in the language of the theory) is clearly inconsistent. Much like resetting a thermostat – over time, slow, consistent adjustments can help the body accept a new, healthier range. First recorded in 1565–75, consistent is from the Latin word consistent- (stem of consistēns, present participle of consistere ); consist, -ent The term ‘consistency’ maintains its etymological connection to the concept of standing together, emphasizing the idea of reliability and stability in various contexts. French-English dictionary, translator, and learning
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- Achieving consistency in flavor is the goal of any seasoned cook.16.
- The same result is true for recursively enumerable theories that can describe a strong enough fragment of arithmetic—including set theories such as Zermelo–Fraenkel set theory (ZF).
- A trivial theory (i.e., one which proves every sentence in the language of the theory) is clearly inconsistent.
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- Product consistency is essential to meet customer expectations.10.
- Add consistency to one of your lists below, or create a new one.
Clear and consistent communication is essential for team collaboration.23. Financial consistency is crucial for long-term financial planning.21. The writer’s consistency in delivering thought-provoking content is commendable.20. Maintaining consistency in daily routines can lead to a more organized life.19.
Further usage examples of consistency
A theory is satisfiable if it has a model, i.e., there exists an interpretation under which all axioms in the theory are true. Definition of consistent adjective from the Oxford Advanced American Dictionary Definition of consistency noun from the Oxford Advanced American Dictionary Definition of consistent adjective from the Oxford Advanced Learner’s Dictionary
Examples of consistent
Gödel’s incompleteness theorems show that any sufficiently strong recursively enumerable theory of arithmetic cannot be both complete and consistent. In theories of arithmetic, such as Peano arithmetic, there is an intricate relationship between the consistency of the theory and its completeness. Although consistency can be proved using model theory, it is often done in a purely syntactical way, without any need to reference some model of the logic. A consistency proof is a mathematical proof that a particular theory is consistent. In deductive logic, a consistent theory is one that does not lead to a logical contradiction.
Maintaining consistency in your exercise routine will yield better results over time.4. The success of a business relies on the consistency of its product or service quality.3. In order to improve your skills, practice with consistency is key.2. It involves a commitment to maintaining the same level of quality, accuracy, or effort consistently, regardless of external circumstances or challenges. Uniformity, inconsistency, variability, fluctuation