mathematical logic
A subfield of logic and mathematics consisting of both the mathematical study of logic…A subfield of logic and mathematics consisting of both the mathematical study of logic and the application of this study to other areas of mathematics, exemplified by questions on the expressive power of formal logics and the deductive power of formal proof systems.
» Courses in analysis begin with the fundamental notions of mathematical logic, important proof techniques, and the construction of real and complex numbers.
Meaning
1 senses(uncountable, usually)A subfield of logic and mathematics consisting of both the mathematical study of logic and the application of this study to other areas of mathematics, exemplified by questions on the expressive power of formal logics and the deductive power of formal proof systems.
- any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity
Examples
1 sentencesCourses in analysis begin with the fundamental notions of mathematical logic, important proof techniques, and the construction of real and complex numbers.
Translations
1 languagesForms
plural: mathematical logics| Singular | mathematical logic |
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uncountable
Synonyms
2 synonyms- any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity:symbolic logicformal logic
Lessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable