structures with no functions are studied as models for relational databases, in the form of relational models. In the context of mathematical logic,...

Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...

This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic. See also the list of computability and...

Abstract structure Isomorphism Equivalent definitions of mathematical structures Intuitionistic type theory Mathematical object Algebraic structure Space...

In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manip­ulation of propositions...

In mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence...

In mathematical logic, a judgment (or judgement) or assertion is a statement or enunciation in a metalanguage. For example, typical judgments in first-order...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

Abstract structure Mathematical structure Structural geology Structure (mathematical logic) Structuralism (philosophy of science) "structure, n.". Oxford...

In logic, especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language. In universal algebra, a signature...

First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics, philosophy...

taking the power set countably many times. A structure (mathematical logic) of which another structure is a substructure. A key concept in Marxist philosophy...

In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables. What is now usually called classical algebraic...

In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first...

Categorical logic is the branch of mathematics in which tools and concepts from category theory are applied to the study of mathematical logic. It is also...

follow from premises based on the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies...

structure, namely the operation + {\displaystyle +} . Mathematics portal Free object Mathematical structure Signature (logic) Structure (mathematical...

Matthew; Pym, David (2009). "Algebra and Logic for Resource-based Systems Modelling". Mathematical Structures in Computer Science. 19 (5): 959–1027. CiteSeerX 10...

conclusions from premises. They are integral parts of formal logic, serving as norms of the logical structure of valid arguments. If an argument with true premises...

foundation of mathematics has been eventually resolved with the rise of mathematical logic as a new area of mathematics. In this framework, a mathematical or logical...

significance Algebraic structure, the systems that are studied in universal algebra Structure (mathematical logic), the algebraic structures studied in model...

calculus Predicate (mathematical logic) Predicate logic Predicate variable Quantification Second-order predicate Sentence (mathematical logic) Universal instantiation...

important theorems. In mathematical logic, the concepts of theorems and proofs have been formalized in order to allow mathematical reasoning about them...

formulas. Commonly encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex;...

In model theory, a branch of mathematical logic, the diagram of a structure is a simple but powerful concept for proving useful properties of a theory...

Hennessy–Milner logic, and T.[clarification needed] The mathematical structure of modal logic, namely Boolean algebras augmented with unary operations...

aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables...

mathematics. The resolution of this crisis involved the rise of a new mathematical discipline called mathematical logic, which studies formal logic within...

mathematical logic that studies the structure and properties of mathematical proofs, aiming to understand and formalize the process of mathematical reasoning...

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that...