Mathematical object

A mathematical object is an abstract object arising in mathematics. The concept is studied in philosophy of mathematics.

In mathematical practice, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Commonly encountered mathematical objects include numbers, permutations, partitions, matrices, sets, functions, and relations. Geometry as a branch of mathematics has such objects as hexagons, points, lines, triangles, circles, spheres, polyhedra, topological spaces and manifolds. Another branch—algebra—has groups, rings, fields, group-theoretic lattices, and order-theoretic lattices. Categories are simultaneously homes to mathematical objects and mathematical objects in their own right. In proof theory, proofs and theorems are also mathematical objects.

The ontological status of mathematical objects has been the subject of much investigation and debate by philosophers of mathematics.

Cantorian framework

Goal

A goal is a desired result that a person or a system envisions, plans and commits to achieve: a personal or organizational desired end-point in some sort of assumed development. Many people endeavor to reach goals within a finite time by setting deadlines.

It is roughly similar to purpose or aim, the anticipated result which guides reaction, or an end, which is an object, either a physical object or an abstract object, that has intrinsic value.

Goal setting

Goal setting may involve establishing specific, measurable, achievable, relevant, and time-bounded (SMART) objectives, but not all researchers agree that these SMART criteria are necessary.

Research on goal setting by Edwin A. Locke and his colleagues suggests that goal setting can serve as an effective tool for making progress when it ensures that group members have a clear awareness of what each person must do to achieve a shared objective. On a personal level, the process of setting goals allows individuals to specify and then work toward their own objectives (such as financial or career-based goals). Goal-setting comprises a major component of personal development and management.

Object (philosophy)

An object is a technical term in modern philosophy often used in contrast to the term subject. A subject is an observer and an object is a thing observed. For modern philosophers like Descartes, consciousness is a state of cognition that includes the subject—which can never be doubted as only it can be the one who doubts–—and some object(s) that may be considered as not having real or full existence or value independent of the subject who observes it. Metaphysical frameworks also differ in whether they consider objects exist independently of their properties and, if so, in what way.

The pragmatist Charles S. Peirce defines the broad notion of an object as anything that we can think or talk about. In a general sense it is any entity: the pyramids, Alpha Centauri, the number seven, a disbelief in predestination or the fear of cats. In a strict sense it refers to any definite being.

A related notion is objecthood. Objecthood is the state of being an object. One approach to defining it is in terms of objects' properties and relations. Descriptions of all bodies, minds, and persons must be in terms of their properties and relations. The philosophical question of the nature of objecthood concerns how objects are related to their properties and relations. For example, it seems that the only way to describe an apple is by describing its properties and how it is related to other things. Its properties may include its redness, its size and its composition, while its relations may include "on the table", "in the room" and "being bigger than other apples".

Generic top-level domain

Generic top-level domains (gTLDs) are one of the categories of top-level domains (TLDs) maintained by the Internet Assigned Numbers Authority (IANA) for use in the Domain Name System of the Internet. A top-level domain is the last label of every fully qualified domain name. They are called generic for historic reasons; initially, they were contrasted with country-specific TLDs in RFC 920.

The core group of generic top-level domains consists of the com, info, net, and org domains. In addition, the domains biz, name, and pro are also considered generic; however, these are designated as restricted, because registrations within them require proof of eligibility within the guidelines set for each.

Historically, the group of generic top-level domains included domains, created in the early development of the domain name system, that are now sponsored by designated agencies or organizations and are restricted to specific types of registrants. Thus, domains edu, gov, int, and mil are now considered sponsored top-level domains, much like the themed top-level domains (e.g., jobs). The entire group of domains that do not have a geographic or country designation (see country-code top-level domain) is still often referred to by the term generic TLDs.

Solar (room)

The solar was a room in many English and French medieval manor houses, great houses and castles, generally situated on an upper storey, designed as the family's private living and sleeping quarters. In such houses, the main ground-floor room was known as the Great Hall, in which all members of the household, including tenants, employees and servants, would eat. Those of highest status would be at the end, often on a raised dais, and those of lesser status further down the hall. But a need was felt for more privacy to be enjoyed by the head of the household, and, especially, by the senior women of the household. The solar was a room for their particular benefit, in which they could be alone and away from the hustle, bustle, noise and smells (including cooking smells) of the Great Hall.

The solar was generally smaller than the Great Hall, because it was not expected to accommodate so many people, but it was a room of comfort and status, and usually included a fireplace and often decorative woodwork or tapestries/wall hangings.

SOLAR (ISS)

SOLAR is an ESA science observatory on the Columbus Laboratory, which is part of the International Space Station. SOLAR was launched with Columbus on February 2008 aboard STS-122. It was externally mounted to Columbus with the European Technology Exposure Facility (EuTEF). SOLAR has three main space science instruments: SOVIM, SOLSPEC and SOL-ACES. Together they provide detailed measurements of the Sun's spectral irradiance. The SOLAR platform and its instruments are controlled from the Belgian User Support and Operations Centre (B.USOC), located at the Belgian Institute for Space Aeronomy (BISA) in Uccle, Belgium.