Multi-Modal Logic
Multi-modal logic extends classical modal logic by integrating multiple distinct types of modalities. It handles variations in necessity, possibility, knowledge, belief, and time within a unified framework.
Syllogistic Mood
A syllogistic mood refers to the arrangement of the types of propositions (A, E, I, O) in a categorical syllogism. It defines the structure and validity of the argument based…
Monotonicity: Preserving Order in Logic and Functions
Monotonicity is a property that preserves order. In logic, it means adding premises doesn't invalidate existing conclusions. In functions, it describes consistent increase or decrease.
Monotonic Logic
Monotonic logic ensures that adding new information never invalidates existing conclusions. This property guarantees that derived truths remain valid as knowledge grows, crucial for reliable reasoning systems.
Monomorphism in Category Theory
A monomorphism is a left-cancellable morphism in category theory. If f ∘ g = f ∘ h, then g = h. It's analogous to injective functions in set theory, ensuring…
Monism
Monism posits that reality is composed of a single fundamental substance or principle. This contrasts with dualism and pluralism, offering a unified view of existence.
Monadic Relation: Understanding Unary Relations
A monadic relation, also known as a unary relation, describes a property or characteristic of a single entity. It's a fundamental concept in logic and database theory, defining attributes for…
Monadic Predicate Logic
Monadic predicate logic, a subset of first-order logic, focuses on predicates with a single argument. It's used to express properties of individuals and is foundational for understanding more complex logical…
Monadic Predicate
A monadic predicate asserts a property about a single entity within a given domain. It's a fundamental concept in logic and computer science for defining characteristics of objects.
Monadic Function
A monadic function is a function that accepts exactly one argument. It's a fundamental concept in mathematics and programming, often used in functional programming paradigms.