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...

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

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...

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

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...

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

may do deductive reasoning and mathematical proofs. Each branch of mathematics has its own objects. Mathematical structure — a set endowed with some additional...

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

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...

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

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...

logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics...

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

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

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

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

This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. The syntactic...

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

Entscheidungsproblem" Introduction to Mathematical Philosophy "New Foundations for Mathematical Logic" Principia Mathematica The Simplest Mathematics History and philosophy...

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

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

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

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

A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...

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...