mathematical logic in English

noun
1
the part of mathematics concerned with the study of formal languages, formal reasoning, the nature of mathematical proof, provability of mathematical statements, computability, and other aspects of the foundations of mathematics.
He worked on mathematical logic , in particular ordinal numbers, recursive arithmetic, analysis, and the philosophy of mathematics.
noun

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Below are sample sentences containing the word "mathematical logic" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "mathematical logic", or refer to the context using the word "mathematical logic" in the English Dictionary.

1. 13 " Mr. Fang, have you ever studied mathematical logic?

2. In 1940 Quine advanced NF to Mathematical Logic (ML).

3. Peano was a key participant, presenting a paper on mathematical logic.

4. Jech's research also includes mathematical logic, algebra, analysis, topology and measure theory.

5. He also published papers on real and complex analysis, applied mathematics and mathematical logic.

6. The training programme included the latest advances in mathematical logic with potential industrial applications.

7. In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables.

8. In mathematical logic, Tarski's high school algebra problem was a question posed by Alfred Tarski.

9. In order to clarify the foundations of mathematics, the fields of mathematical logic and set theory were developed.

10. In mathematical logic, algebraic semantics is a formal semantics based on algebras studied as part of algebraic logic.

11. Philosophical logic is essentially a continuation of the traditional discipline called "logic" before the invention of mathematical logic.

12. Élisabeth Bouscaren (born 1956) is a French mathematician who works on algebraic geometry, algebra and mathematical logic (model theory).

13. In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature.

14. Model theory is a branch of mathematical logic dealing with abstract structures, historically connected to other fields of mathematics.

15. The conceptional basis of our work is in software engineering, programming languages, data structures and efficient algorithms, and mathematical logic.

16. Growth in the many branches of mathematical logic reflects different schools of thought and various applications in algebra, analysis and geometry.

17. Axioms Axioms (ISSN 2075-1680) is an international, peer-reviewed, open access journal of mathematics, mathematical logic and mathematical physics, published quarterly online by MDPI

18. ‘Hausdorff proved further results on the Cardinality of Borel sets in 1916.’ ‘Frege's approach to providing a logical analysis of Cardinality, the natural numbers, infinity and mathematical induction were groundbreaking, and have had a lasting importance within mathematical logic.’