A total function is a mathematical function that is defined for every possible input in its domain. This guarantees an…
Topos theory studies categories resembling the category of sets, forming a foundation for mathematics. It enables generalized concepts of computation…
Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures across various contexts, offering a powerful lens for…
In logic, the symbol ⊤ represents the maximal element in a lattice or order. It commonly denotes a tautology or…
The tilde (~) is a logical operator representing negation. It signifies that the proposition it modifies is false. This fundamental…
A theorem is a statement proven true through logical deduction from accepted axioms and previously proven theorems. It forms a…
A ternary function is a mathematical concept that accepts three inputs or arguments. It's an extension of unary (one input)…
A tautology is a statement or formula that is always true, regardless of the truth values of its components. It's…
Symmetry in binary relations means if A is related to B, then B is also related to A. It's a…
A surjection, or onto function, ensures every element in the target set is reached by at least one element from…