Definable
21define — definable, adj. definability, n. definably, adv. definement, n. definer, n. /di fuyn /, v. defined, defining. v.t. 1. to state …
22Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …
23Aristotle’s logic and metaphysics — Alan Code PART 1: LOGICAL WORKS OVERVIEW OF ARISTOTLE’S LOGIC The Aristotelian logical works are referred to collectively using the Greek term ‘Organon’. This is a reflection of the idea that logic is a tool or instrument of, though not… …
24Berry paradox — The Berry paradox is a self referential paradox arising from the expression the smallest possible integer not definable by a given number of words. Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry, a… …
25Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… …
26Arithmetical set — In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first order Peano arithmetic. The arithmetical sets are classified by the arithmetical hierarchy.A function f:subseteq… …
27O-minimal theory — In mathematical logic, and more specifically in model theory, a totally ordered structure ( M , lt;,...) is o minimal if and only if every definable set X sub; M (with parameters) can be realized as a finite union of intervals and points.A theory …
28Interpretation (model theory) — In model theory, interpretation of a structure M in another structure N (typically of a different signature) is a technical notion that approximates the idea of representing M inside N . For example every reduct or definitional expansion of a… …
29o-minimal theory — In mathematical logic, and more specifically in model theory, an infinite structure (M,<,...) which is totally ordered by < is called an o minimal structure if and only if every definable subset X ⊂ M (with parameters taken from… …
30Integer sequence — In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example,… …
