Universal Proposition
A universal proposition in logic makes a claim about every single member of a specific group or category. It's a fundamental concept in formal reasoning, often expressed with universal quantifiers.
Universal Introduction Rule in Predicate Logic
The universal introduction rule in predicate logic allows inferring a general statement about all members of a category. This is achieved by proving the statement for an arbitrary, specific individual…
Universal Elimination in Predicate Logic
Universal elimination is a fundamental rule of inference in predicate logic. It permits inferring a specific instance from a general statement applicable to all members of a set.
Unary Relation
A unary relation, also known as a monadic relation, describes a property or attribute that a single element can possess or not possess. It's a fundamental concept in logic and…
Unary Function: Understanding Single-Argument Operations
A unary function takes a single input. It's fundamental in math and logic, seen in operations like negation and absolute value. Learn its core concepts and applications.
Type Theory
A mathematical logic and computer science framework using types to classify expressions and objects, preventing paradoxes by organizing into hierarchies and restricting operations to same-typed objects.
Understanding ‘Type’ in Logic and Mathematics
A 'type' categorizes entities with shared characteristics, crucial in logic and mathematics to distinguish objects and prevent paradoxes. It represents a universal, distinct from a particular instance.
The Turnstile Symbol (⊢) in Logic
The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic. It indicates that a statement on the right logically follows from statements on the left within a specific…
Turing Thesis
The Turing thesis, also known as the Church-Turing thesis, posits that any function computable by an algorithm can be computed by a Turing machine. It's a fundamental concept in computer…
Turing Computable Function
A function computable by a Turing machine, representing the theoretical limit of what can be calculated. It forms the basis of the Church-Turing thesis, defining algorithmic solvability.