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"mathematical logic" is correct and can be used in written English.
You can use it to describe the academic field of logic that deals with the application of mathematical methods to the logical problems of reasoning and inference. For example, "This philosophy course will explore different areas of mathematical logic."
Dictionary
mathematical logic
noun
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.
synonyms
Exact(60)
Research Focus: Mathematical logic, computational theory, recursive mathematics, nonstandard logics, nonmontonic logics, AI, applied mathematics.
This resulted in a Lecturership in Mathematical Logic, an undergraduate course in Mathematics and Philosophy and a Professorship in Mathematical Logic.
Its influence on the development of mathematical logic and the philosophy of mathematics has been immense.
We worked mainly on mathematical logic and the philosophy of mathematics.
In particular, the Janiszewski program attached great importance to mathematical logic and the foundations of mathematics.
He proposed to look at the history of logical ideas through the glasses of mathematical logic.
My research is in mathematical logic and in the philosophy of logic and mathematics.
Mathematical Logic, Stephen Cole Kleene.
CSPH GU4801 Mathematical Logic I. 3 points.
Applications of mathematical logic to computer science.
A sudoku puzzle is about mathematical logic, not arithmetic.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com