Mathematical logic has several meanings in common usage. It originally referred to symbolic or formal logic, and then came to be associated with the study of the logical (and even philosophical) foundations of mathematics. In contemporary use by mathematical logicians, the term refers to several branches of pure mathematics whose study involves careful attention to formal axiom systems and formal definability.
Mathematical logic is divided into four parts:
- Model theory
- Proof theory
- Recursion theory, also known as computability theory
- Set theory
The divisions between these areas, along with the divisions between mathematical logic and the rest of mathematics, are not completely sharp, with many areas of research and methods overlapping and reinforcing each other.
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Subcategories
This category has the following 24 subcategories, out of 24 total.
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Pages in category "Mathematical logic"
The following 143 pages are in this category, out of 143 total. This list may sometimes be slightly out of date (learn more)