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...

Abstract structure Isomorphism Equivalent definitions of mathematical structures Intuitionistic type theory Mathematical object Space (mathematics) Saunders...

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

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

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

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 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...

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

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

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...

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

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

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

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

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

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

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

example, those involving physical objects. Abstract structures are studied not only in logic and mathematics but in the fields that apply them, as computer...

proposition is a central concept in the philosophy of language, semantics, logic, and related fields, often characterized as the primary bearer of truth...

In first-order logic, a Herbrand structure S is a structure over a vocabulary σ that is defined solely by the syntactical properties of σ. The idea is...

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

substructural type system Quantum logic Lambek, Joachim (1958). "The Mathematics of Sentence Structure". The American Mathematical Monthly. 65 (3): 154–170. CiteSeerX 10...

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

Modern mathematics formalizes its foundations to such an extent that mathematical theories can be regarded as mathematical objects, and mathematics itself...

what consistent meant in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. In a sound formal...

In mathematics, equality is a relationship between two quantities or, more generally, two mathematical expressions, asserting that the quantities have...

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