Below you will find example sentences with "formal system". The examples show how this phrase is used in natural context and which words often surround it.
Formal System in a sentence
Corpus data
- Displayed example sentences: 20
- Discovered as a combination around: formal
- Corpus frequency in the collocation scan: 9
- Phrase length: 2 words
- Average sentence length: 23.9 words
Sentence profile
- Phrase position: 9 start, 9 middle, 2 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis
- The phrase "formal system" has 2 words and usually appears near the start in these examples. The average sentence has 23.9 words and is mostly made up of statements.
- Around this phrase, patterns and context words such as a formal system also called, a formal system is used, theorem, effectively and logical stand out.
- In the phrase index, this combination connects with immune system, healthcare system, judicial system, formal education, formal languages and formal logic, linking the page to nearby combinations.
Example types with formal system
This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:
The problem is once money is withdrawn from the formal system, it is never returned. (15 words)
A formal system is used to derive one expression from one or more other expressions. (15 words)
A number of attempts have been made to specify the JVM as a formal system. (15 words)
The natural language propositions that arise when they're interpreted are outside the scope of the system, and the relation between the formal system and its interpretation is likewise outside the formal system itself. (34 words)
Haskell Curry defined mathematics simply as "the science of formal systems". citation A formal system is a set of symbols, or tokens, and some rules telling how the tokens may be combined into formulas. (34 words)
Specifically, a formal theorem is always the last formula of a derivation in some formal system each formula of which is a logical consequence of the formulas that came before it in the derivation. (34 words)
Example sentences (20)
A formal system (also called a logical calculus, or a logical system) consists of a formal language together with a deductive apparatus (also called a deductive system).
The natural language propositions that arise when they're interpreted are outside the scope of the system, and the relation between the formal system and its interpretation is likewise outside the formal system itself.
The equivalent theorem is that for any formal system S, there exists a mathematical statement that can be interpreted as "This statement is not provable in formal system S".
Although a formal language can be identified with its formulas, a formal system cannot be likewise identified by its theorems.
Haskell Curry defined mathematics simply as "the science of formal systems". citation A formal system is a set of symbols, or tokens, and some rules telling how the tokens may be combined into formulas.
Specifically, a formal theorem is always the last formula of a derivation in some formal system each formula of which is a logical consequence of the formulas that came before it in the derivation.
When a formal system is used to represent formal logic, only statement letters are represented directly.
The constant N depends on how the formal system is effectively represented, and thus does not directly reflect the complexity of the axiomatic system.
The resulting theorem (incorporating Rosser's improvement) may be paraphrased in English as follows, where "formal system" includes the assumption that the system is effectively generated.
The principle of restitution is an integral part of virtually every formal system of criminal justice, of every culture and every time.
The students participate in sports, culture, music, drama, and basic education through a non-formal system.
Canada has no formal system for integrating refugee claimants and depends heavily on aid agencies that operate independently but are funded through a combination of government grants and private donations.
The problem is once money is withdrawn from the formal system, it is never returned.
A formal system is used to derive one expression from one or more other expressions.
A number of attempts have been made to specify the JVM as a formal system.
Because the formal system is strong enough to support reasoning about numbers in general, it can support reasoning about numbers that represent formulae and statements as well.
Cynghanedd did not become a formal system with strict rules until the fourteenth century, but its uniquely Welsh forms had been honed for centuries before that.
Effective axiomatization A formal system is said to be effectively axiomatized (also called effectively generated) if its set of theorems is a recursively enumerable set (Franzén 2004, p. 112).
Gödel's second incompleteness theorem (1931) shows that no formal system extending basic arithmetic can be used to prove its own consistency.
Hence any formal system including the Sheffer stroke must also include a means of indicating grouping.