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...

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

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

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 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...

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

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

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

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...

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

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

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

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

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...

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

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...

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

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

In mathematical logic, geometric logic is an infinitary generalisation of coherent logic, a restriction of first-order logic due to Skolem that is proof-theoretically...

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

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

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...

properties in common. In mathematics, the identity of indiscernibles is usually rejected since indiscernibles in mathematical logic are not necessarily forbidden...

proof used in mathematics, a hearkening back to the Greek tradition. The development of the modern "symbolic" or "mathematical" logic during this period...