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Overview of Mathematics
edit- Logical Background
- Negation
- Logical disjunction
- Logical conjunction
- Material conditional
- Logical biconditional
- If and only if
- Sheffer stroke
- Exclusive or
- Rule of inference
- Tautology (logic)
- Contradiction
- Boolean algebra (logic)
- Propositional calculus
- List of rules of inference
- Frege's propositional calculus
- Paraconsistent logic
- Ternary logic
- Quantum logic
- Element (mathematics)
- Universal quantification
- Existential quantification
- Uniqueness quantification
- First-order logic
- Gödel's incompleteness theorems
- Second-order logic
- Modal logic
- Set theory
- Subset
- Class (set theory)
- Equality (mathematics)
- Inequality
- Complement (set theory)
- Union (set theory)
- Intersection (set theory)
- Disjoint union
- Ordered pair
- Power set
- Empty set
- Constructive set theory
- Zermelo–Fraenkel set theory
- Axiom of choice
- Morse–Kelley set theory
- Von Neumann–Bernays–Gödel set theory
- Tarski–Grothendieck set theory
- Simple Math
- Peano axioms
- Addition
- Subtraction
- Multiplication
- Natural number
- Rational number
- Real number
- Square root
- Nth root
- Logarithm
- Factorial
- Division (mathematics)
- E (mathematical constant)
- Imaginary unit
- Complex number
- Tessarine
- Quaternion
- Octonion
- Sedenion
- Cayley–Dickson construction
- Multicomplex number
- Split-octonion
- Algebra
- Elementary algebra
- Scalar (mathematics)
- Matrix (mathematics)
- Matrix addition
- Matrix multiplication
- Determinant
- Cauchy–Binet formula
- System of linear equations
- Identity matrix
- Binomial coefficient
- Linear algebra
- Polynomial
- Quadratic equation
- Cardinal
- Cardinal number
- Calculus
- Algebraic geometry
- Matrix calculus
- Coordinate vector
- Groups
- Symmetric space
- Finite field
- Field (mathematics)
- Euclidean domain
- Principal ideal domain
- Unique factorization domain
- Integrality
- Integral domain
- Commutative ring