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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:
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.
This category has the following 29 subcategories, out of 29 total.
- ► Boolean algebra (2 C, 80 P)
- ► Mathematical logic hierarchies (1 C, 9 P)
- ► Independence results (13 P)
- ► Non-classical logic (6 C, 42 P)
- ► Mathematical logic organizations (4 P)
- ► Proof theory (5 C, 87 P)
- ► Quantification (19 P)
- ► Recursion (4 C, 30 P)
- ► Mathematical logic stubs (2 C, 123 P)
Pages in category "Mathematical logic"
The following 153 pages are in this category, out of 153 total. This list may not reflect recent changes (learn more).
- Schröder–Bernstein property
- Semicomputable function
- Special case
- Stratification (mathematics)
- Strength (mathematical logic)
- Structural induction
- Structuralism (philosophy of mathematics)
- Structure (mathematical logic)
- Successor function
- Superposition calculus
- Surreal number
- List of mathematical symbols
- List of mathematical symbols by subject