class, logical

class, logical
Sometimes used as a synonym for set . But a class is contrasted with a set in classical set theory. A class of things may answer to a condition but not form a set, if various restrictions designed to avoid the logical paradoxes are not met. Intuitively this usually means that the class may never be treated as a completed totality. But in some set theories classes are completed totalities, but are too big to be sets: paradox is avoided by not allowing them to be members of other sets. See also separation, axiom of.

Philosophy dictionary. . 2011.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Logical truth — is one of the most fundamental concepts in logic, and there are different theories on its nature. A logical truth is a statement which is true and remains true under all reinterpretations of its components other than its logical constants. It is… …   Wikipedia

  • Logical positivism — (also known as logical empiricism, scientific philosophy, and neo positivism) is a philosophy that combines empiricism the idea that observational evidence is indispensable for knowledge with a version of rationalism incorporating mathematical… …   Wikipedia

  • class — n Class, category, genus, species, denomination, genre are compared here only in their general, nonspecial ized use, and the following comments may be inapplicable to such technical fields as philosophy and the sciences. Class is a very general… …   New Dictionary of Synonyms

  • Class (set theory) — In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) which can be unambiguously defined by a property that all its members share. The precise definition of class… …   Wikipedia

  • Logical implication — In logic and mathematics, logical implication is a logical relation that holds between a set T of formulae and a formula B when every model (or interpretation or valuation) of T is also a model of B . In symbols,# T models B, # T Rightarrow B # T …   Wikipedia

  • Class (philosophy) — Philosophers sometimes distinguish classes from types and kinds. We can talk about the class of human beings, just as we can talk about the type (or natural kind), human being, or humanity. How, then, might classes differ from types? One might… …   Wikipedia

  • Logical connective — This article is about connectives in classical logic. For connectors in natural languages, see discourse connective. For connectives and operators in other logics, see logical constant. For other logical symbols, see table of logic symbols. In… …   Wikipedia

  • Logical induction — Induction In*duc tion, n. [L. inductio: cf. F. induction. See {Induct}.] [1913 Webster] 1. The act or process of inducting or bringing in; introduction; entrance; beginning; commencement. [1913 Webster] I know not you; nor am I well pleased to… …   The Collaborative International Dictionary of English

  • Logical Disk Manager — The Logical Disk Manager (diskmgmt.msc) is an implementation of a logical volume manager for Microsoft Windows NT, developed by Microsoft and Veritas Software. It was introduced with the Windows 2000 operating system, and is supported in Windows… …   Wikipedia

  • Logical effort — The method of logical effort, a term coined by Ivan Sutherland and Robert Sproull in 1991, is a straightforward technique used to estimate delay in a CMOS circuit. Used properly, it can aid in selection of gates for a given function (including… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”