misspelledsearch.com:

quantity surveyor jobs

information page

If you cannot find the information you are searching for on this page, we suggest searching Google with the correct spelling "quantity surveyor jobs":

Quantity is a kind of property which exists as magnitude or multitude. It is among the basic classes of things along with quality, substance, change, and relation. Quantity was first introduced as quantum, an entity having quantity. Being a fundamental term, quantity is used to refer to any type of quantitative properties or attributes of things. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things like as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum.

Two basic divisions of quantity, magnitude and multitude (or number), imply the principal distinction between continuity (continuum) and discontinuity.

Under the names of multitude come what is discontinuous and discrete and divisible into indivisibles, all cases of collective nouns: army, fleet, flock, government, company, party, people, chorus, crowd, mess, and number. Under the names of magnitude come what is continuous and unified and divisible into divisibles, all cases of non-collective nouns: the universe, matter, mass, energy, liquid, material, animal, plant, tree.

Along with analyzing its nature and classification, the issues of quantity involve such closely related topics as the relation of magnitudes and multitudes, dimensionality, equality, proportion, the measurements of quantities, the units of measurements, number and numbering systems, the types of numbers and their relations to each other as numerical ratios.

Thus quantity is a property that exists in a range of magnitudes or multitudes. Mass, time, distance, heat, and angular separation are among the familiar examples of quantitative properties. Two magnitudes of a continuous quantity have to one another the ratio which a number has to a number.

Background

The concept of quantity is an ancient one which extends back to the time of Aristotle and earlier. Aristotle regarded quantity as a fundamental ontological and scientific category. In Aristotle's ontology, quantity or quantum was classified into two different types, which he characterized as follows:

'Quantum' means that which is divisible into two or more constituent parts of which each is by nature a 'one' and a 'this'. A quantum is a plurality if it is numerable, a magnitude if it is measurable. 'Plurality' means that which is divisible potentially into non-continuous parts, 'magnitude' that which is divisible into continuous parts; of magnitude, that which is continuous in one dimension is length; in two breadth, in three depth. Of these, limited plurality is number, limited length is a line, breadth a surface, depth a solid. (Aristotle, book v, chapters 11-14, Metaphysics).

In his Elements, Euclid developed the theory of ratios of magnitudes without studying the nature of magnitudes, as Archimedes, but giving the following significant definitions:

A magnitude is a part of a magnitude, the less of the greater, when it measures the greater; A ratio is a sort of relation in respect of size between two magnitudes of the same kind.

For Aristotle and Euclid, relations were conceived as whole numbers (Michell, 1993). John Wallis later conceived of ratios of magnitudes as real numbers as reflected in the following:

When a comparison in terms of ratio is made, the resultant ratio often [namely with the exception of the 'numerical genus' itself] leaves the genus of quantities compared, and passes into the numerical genus, whatever the genus of quantities compared may have been. (John Wallis, Mathesis Universalis)

That is, the ratio of magnitudes of any quantity, whether volume, mass, heat and so on, is a number. Following this, Newton then defined number, and the relationship between quantity and number, in the following terms: "By number we understand not so much a multitude of unities, as the abstracted ratio of any quantity to another quantity of the same kind, which we take for unity" (Newton, 1728).

Quantitative structure

Continuous quantities possess a particular structure which was first explicitly characterized by Hölder (1901) as a set of axioms which define such features as identities and relations between magnitudes. In science, quantitative structure is the subject of empirical investigation and cannot be assumed to exist a priori for any given property. The linear continuum represents the prototype of continuous quantitative structure as characterized by Hölder (1901) (translated in Michell & Ernst, 1996). A fundamental feature of any type of quantity is that the relationships of equality or inequality can in principle be stated in comparisons between particular magnitudes, unlike quality which is marked by likeness, similarity and difference, diversity. Another fundamental feature is additivity. Additivity may involve concatenation, such as adding two lengths A and B to obtain a third A + B. Additivity is not, however, restricted to extensive quantities but may also entail relations between magnitudes that can be established through experiments which permit tests of hypothesized observable manifestations of the additive relations of magnitudes. Another feature is continuity, on which Michell (1999, p. 51) says of length, as a type of quantitative attribute, "what continuity means is that if any arbitrary length, a, is selected as unit, then for every positive real number, r, there is a length b such that b = ra".

Quantity in mathematics

Being of two types, magnitude and multitude (or number), quantities are further divided as mathematical and physical. Formally, quantities (numbers and magnitudes), their ratios, proportions, order and formal relationships of equality and inequality, are studied by mathematics. The essential part of mathematical quantities is made up with a collection variables each assuming a set of values and coming as scalar, vectors, or tensors, and functioning as infinitesimal, arguments, independent or dependent variables, or random and stochastic quantities. In mathematics, magnitudes and multitudes are not only two kinds of quantity but they are also commensurable with each other. The topics of the discrete quantities as numbers, number systems, with their kinds and relations, fall into the number theory. Geometry studies the issues of spatial magnitudes: straight lines (their length, and relationships as parallels, perpendiculars, angles) and curved lines (kinds and number and degree) with their relationships (tangents, secants, and asymptotes). Also it encompasses surfaces and solids, their transformations, measurements and relationships.

Quantity in physical science

Establishing quantitative structure and relationships between different quantities is the cornerstone of modern physical sciences. Physics is fundamentally quantitative science. Its progress is chiefly achieved due to rendering the abstract qualities of material entities into the primary quantities of physical things, by postulating that all material bodies marked by quantitative properties or physical dimensions, which are subject to some measurements and observations. Setting the units of measurement, physics covers such fundamental quantities as space (length, breadth, and depth) and time, mass and force, temperature, energy and quantum.

Traditionally, a distinction has also been made between intensive quantity and extensive quantity as two types of quantitative property, state or relation. The magnitude of an intensive quantity does not depend on the size, or extent, of the object or system of which the quantity is a property whereas magnitudes of an extensive quantity are additive for parts of an entity or subsystems. Thus, magnitude does depend on the extent of the entity or system in the case of extensive quantity. Examples of intensive quantities are density and pressure, while examples of extensive quantities are energy, volume and mass.

Quantity in logic and semantics

In respect to quantity, propositions are grouped as universal and particular, applying to the whole subject or a part of the subject to be predicated. Accordingly, there are existential and universal quantifiers. In relation to the meaning of a construct, quantity involves two semantic dimensions: 1. extension or extent (determining the specific classes or individual instances indicated by the construct) 2. intension (content or comprehension or definition) measuring all the implications (relationships and associations involved in a construct, its intrinsic, inherent, internal, built-in, and constitutional implicit meanings and relations).

Quantity in natural language

In human languages (English), number is a syntactic category, along with person and gender. The quantity is expressed by identifiers, definite and indefinite, and quantifiers, definite and indefinite, as well as by three types of nouns: 1. count unit nouns or countables; 2. mass nouns, uncountables, referring to the indefinite, unidentified amounts; 3. nouns of multitude (collective nouns). The word ‘number’ belongs to a noun of multitude standing either for a single entity or for the individuals making the whole. An amount in general is expressed by a special class of words called identifiers, indefinite and definite and quantifiers, definite and indefinite. The amount may be expressed by: singular form and plural from, ordinal numbers before a count noun singular (first, second, third…), the demonstratives; definite and indefinite numbers and measurements (hundred/hundreds, million/millions), or cardinal numbers before count nouns. The set of language quantifiers covers ‘’a few, a great number, many, several (for count names); a bit of, a little, less, a great deal (amount) of, much (for mass names); all, plenty of, a lot of, enough, more, most, some, any, both, each, either, neither, every, no’’. For the complex case of unidentified amounts, the parts and examples of a mass are indicated with respect to the following: a measure of a mass (two kilos of rice and twenty bottles of milk or ten pieces of paper); a piece or part of a mass (part, element, atom, item, article, drop); or a shape of a container (a basket, box, case, cup, bottle, vessel, jar).

Further examples

Some further examples of quantities are:

• 1.76 litres (liters) of milk, a continuous quantity
• 2πr metres, where r is the length of a radius of a circle expressed in metres (or meters), also a continuous quantity
• one apple, two apples, three apples, where the number is an integer representing the count of a denumerable collection of objects (apples)
• 500 people (also a count)
• a couple conventionally refers to two objects
• few refers to three or four objects

References

Aristotle, Logic (Organon): Categories, in Great Books of the Western World, V.1. ed. by Adler, M.J., Encyclopaedia Britannica, Inc., Chicago (1990)

Aristotle, Physical Treatises: Physics, in Great Books of the Western World, V.1, ed. by Adler, M.J., Encyclopaedia Britannica, Inc., Chicago (1990)

Aristotle, Metaphysics, in Great Books of the Western World, V.1, ed. by Adler, M.J., Encyclopaedia Britannica, Inc., Chicago (1990)

Hölder, O. (1901). Die Axiome der Quantität und die Lehre vom Mass. Berichte über die Verhandlungen der Königlich Sachsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematische-Physicke Klasse, 53, 1-64.

Klein, J. (1968). Greek Mathematical Thought and the Origin of Algebra. Cambridge. Mass: MIT Press.

Michell, J. (1993). The origins of the representational theory of measurement: Helmholtz, Hölder, and Russell. Studies in History and Philosophy of Science, 24, 185-206.

Michell, J. (1999). Measurement in Psychology. Cambridge: Cambridge University Press.

Michell, J. & Ernst, C. (1996). The axioms of quantity and the theory of measurement: translated from Part I of Otto Hölder’s German text "Die Axiome der Quantität und die Lehre vom Mass". Journal of Mathematical Psychology, 40, 235-252.

Newton, I. (1728/1967). Universal Arithmetic: Or, a Treatise of Arithmetical Composition and Resolution. In D.T. Whiteside (Ed.), The mathematical Works of Isaac Newton, Vol. 2 (pp. 3-134). New York: Johnson Reprint Corp.

Wallis, J. Mathesis universalis (as quoted in Klein, 1968).

This quantity surveyor jobs index site has been developed to help wayward users find the information they are looking for, no matter how they are mistakenly spelled or mistyped. This site is designed to help users find quantity surveyor jobs information for the following query variants:

quantity surveyor	quantity surveyor job	quantity surveyor jos	quantity surveyor joes
quantity surveyor jous	quantity surveyor josb	quantity surveyor jbos	quantity surveyor ojbs
quantity surveyor jbs	quantity surveyor obs	quantity jobs	quantity surveyr jobs
quantity surveyur jobs	quantity sulveyur jobs	quantity srveyor jobs	quantity suveyor jobs
quantity sureyor jobs	quantity survyor jobs	quantity surveor jobs	quantity surveyol jobs
quantity sulveyor jobs	quantity sulveyol jobs	quantity surveyro jobs	quantity surveoyr jobs
quantity survyeor jobs	quantity surevyor jobs	quantity suvreyor jobs	quantity sruveyor jobs
quantity usrveyor jobs	quantity surveyo jobs	quantity urveyor jobs	surveyor jobs
quintitie surveyor jobs	qwandity surveyor jobs	kwantitie surveyor jobs	qantity surveyor jobs
qwiandity surveyor jobs	kwiantitie surveyor jobs	quntity surveyor jobs	qwantitie surveyor jobs
kwintitie surveyor jobs	quatity surveyor jobs	qwiantitie surveyor jobs	quanditie surveyor jobs
quanity surveyor jobs	qwintitie surveyor jobs	quianditie surveyor jobs	quantty surveyor jobs
qwanditie surveyor jobs	kwanditie surveyor jobs	quantiy surveyor jobs	qwantity surveyor jobs
quantitie surveyor jobs	qwiantity surveyor jobs	quiantitie surveyor jobs	qwintity surveyor jobs
qwantetie surveyor jobs	qwantety surveyor jobs	kwantetie surveyor jobs	qwiantety surveyor jobs
quindity surveyor jobs	qwintety surveyor jobs	quinditie surveyor jobs	kwantety surveyor jobs
kwiantety surveyor jobs	kwintety surveyor jobs	quantetie surveyor jobs	quantety surveyor jobs
quiantetie surveyor jobs	quiantety surveyor jobs	quintetie surveyor jobs	quintety surveyor jobs
kwiandity surveyor jobs	quiantity surveyor jobs	quintity surveyor jobs	kwantity surveyor jobs
kwiantity surveyor jobs	kwintity surveyor jobs	quandity surveyor jobs	quiandity surveyor jobs
kwandity surveyor jobs	quantlty surveyor jobs	quamtity surveyor jobs	quantiyt surveyor jobs
quanttiy surveyor jobs	quanitty surveyor jobs	quatnity surveyor jobs	qunatity surveyor jobs
qauntity surveyor jobs	uqantity surveyor jobs	quantit surveyor jobs	uantity surveyor jobs

If you would like to add or correct the content of this site, or if you are interested in supporting the efforts of misspelledsearch.com by placing your product information on these quantity surveyor jobs pages, please contact mistype@gmail.com for details.