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 Space (mathematics) Saunders...

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

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

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

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...

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...

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

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

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

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

with which one may do deductive reasoning and mathematical proofs.[citation needed] Typically, a mathematical object can be a value that can be assigned...

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...

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

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

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

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

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

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

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...

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

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

20th century or had not previously been considered as mathematics, such as mathematical logic and foundations. Number theory began with the manipulation...

identical at first, but fuzzy logic uses degrees of truth as a mathematical model of vagueness, while probability is a mathematical model of ignorance. A basic...

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...