 A scale for measuring mass A quantitative property is one that exists in a range of magnitudes, and can therefore be measured. Measurements of any particular quantitative property are expressed as a specific quantity, referred to as a unit, multiplied by a number. Examples of physical quantities are distance, mass, and time. Many attributes in the social sciences, including abilities and personality traits, are also studied as quantitative properties. Image File history File links Download high-resolution version (1280x960, 148 KB) Balance Roberval File links The following pages on the English Wikipedia link to this file (pages on other projects are not listed): Quantitative ...
Image File history File links Download high-resolution version (1280x960, 148 KB) Balance Roberval File links The following pages on the English Wikipedia link to this file (pages on other projects are not listed): Quantitative ...
Unsolved problems in physics: What causes anything to have mass? Mass is a property of a physical object that quantifies the amount of matter and energy it is equivalent to. ...
Various meters Measurement is the process of estimating the ratio of a magnitude of a quantity to a unit of the same type. ...
Measurement is the determination of the size or magnitude of something. ...
A physical quantity is either a quantity within Physics that can be measured (e. ...
Distance is a numerical description of how far apart things lie. ...
Unsolved problems in physics: What causes anything to have mass? Mass is a property of a physical object that quantifies the amount of matter and energy it is equivalent to. ...
Two distinct views exist on the meaning of time. ...
Historical background
The classical concept of quantity In classical terms, the structure of a quantitative property is such that different magnitudes of the quantity stand in relation to one another as ratios which, in turn, can be expressed as real numbers. Measurement is the determination or estimation of ratios of quantities. Quantity and measurement are therefore mutually defined: quantitative attributes are those which it is possible to measure, at least in principle. The classical concept of quantity can be traced back to John Wallis and Isaac Newton, and was foreshadowed in Euclid's Elements (Michell, 1993). In algebra, a ratio is the relationship between two quantities. ...
Please refer to Real vs. ...
John Wallis John Wallis (November 22, 1616 - October 28, 1703) was an English mathematician who is given partial credit for the development of modern calculus. ...
Sir Isaac Newton, FRS (4 January 1643 – 31 March 1727) [OS: 25 December 1642 – 20 March 1727][1] was an English physicist, mathematician, astronomer, alchemist, and natural philosopher, regarded by many as the greatest figure in the history of science. ...
The frontispiece of Sir Henry Billingsleys first English version of Euclids Elements, 1570 Euclids Elements (Greek: ) is a mathematical and geometric treatise, consisting of 13 books, written by the Hellenistic mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions (theorems...
The representational theory of measurement In the representational theory, measurement is regarded as "the correlation of numbers with entities that are not numbers" (Nagel, 1932). In some forms of representational theory, numbers are assigned on the basis of correspondences or similarities between the structure of number systems and the structure of qualitative systems. A quantitative property is therefore one for which such structural similarities can be established. In other forms of representational theory, such as that implicit within the work of Stanley Smith Stevens, numbers need only be assigned according to a rule. The rule may be a purely operational one such as the statement by an experimental subject of a number in response to a physical stimulus, or the assignment of a number to a statement in a Likert scale. Stevens proposed four levels of measurement. Stanley Smith Stevens (1906-1973) was an American psychologist best known as the founder of Harvards Psycho-Acoustical Laboratory and credited with the introduction of Stevens power law. ...
A Likert scale (pronounced lick-ert) is a type of psychometric scale often used in questionnaires. ...
The level of measurement of a variable in mathematics and statistics describes how much information the numbers associated with the variable contain. ...
Fundamental considerations in quantitative research Whether numbers obtained through an experimental procedure are considered measurements is, on the one hand, largely a matter of how measurement is defined. On the other hand, the nature of the measurement process has important implications for scientific research. Firstly, many arithmeitic operations are only justified for measurements either in the classical sense described above, or in the sense of interval and ratio-level measurements as defined by Stevens (which arguably describe the same thing). Secondly, quantitative relationships between different properties which feature in most natural theories and laws imply that the properties have a specific type of quantitative structure; namely, the structure of a continuous quantity. The reason for this is that such theories and laws display a multiplicative structure (for example Newton's second law). Newtons laws of motion are the three scientific laws which Isaac Newton discovered concerning the behaviour of moving bodies. ...
Continuous quantities are those for which magnitudes can be represented as real numbers and for which, therefore, measurements can be expressed on a continuum. Continuous quantities may be scalar or vector quantities. For example, SI units are physical units of continuous quantitative properties, phenomena, and relations such as distance, mass, heat, force and angular separation. The classical concept of quantity described above necessarily implies the concept of continuous quantity. Please refer to Real vs. ...
In mathematics, the word continuum sometimes denotes the real line. ...
In physics, a scalar is a simple physical quantity that does not depend on direction, and therefore does not depend on the choice of a coordinate system. ...
In physics and in vector calculus, a spatial vector is a concept characterized by a magnitude, which is a scalar, and a direction (which can be defined in a 3-dimensional space by the Euler angles). ...
The International System of Units (symbol: SI) (for the French phrase Système International dUnités) is the most widely used system of units. ...
Recording observations with numbers does not, in itself, imply that an attribute is quantitative. For example, judges routinely assign numbers to properties such as the perceived beauty of an exercise (e.g. 1-10) without necessarily establishing quantitative structure in any sort of rigorous fashion. A researcher might also use the number 1 to mean "Susan", 2 to mean "Michael", and so on. This, however, is not a meaningful use of numbers: the researcher can arbitrarily reassign the numbers (so that 1 means "Michael" and 2 means "Susan") without losing any information. Put another way, facts about numbers (for example, that 2 is greater than 1, that 5 is two more than 3, and that 8 is twice 4) don't mean anything about the names corresponding to those numbers. A person's name is not, therefore, a quantitative property.
Whether counts of objects or observations are considered measurements is also largely a matter of how measurement is defined. Again, though, an important consideration is the manner in which resulting numbers are used. Counts are not measurements of continuous quantities. If, for example, a researcher were to count the number of grains of sand in a specified volume of space on a beach, the result denumerates how many separate grains there are; i.e. the number of separate distinguishable entities of a specific type. Arithmetic operations, such as addition, have meaning only in this specific sense. For instance, combining 5 and 4 grains of sand gives 9 grains of sand. The numbers used in this case are therefore the natural numbers. Natural number can mean either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). Natural numbers have two main purposes: they can be used for counting (there are 3 apples on the table), or they can be used for ordering (this is...
Any object is characterized by many attributes, such as colour and mass, only some of which constitute continuous quantities. For example, the mass of a specific grain of sand is a continuous quantity whereas the grain, as an object, is not. Thus, the mass of a grain of sand can be used as a unit of mass because it is possible to estimate the ratio of the mass of another object to the mass of a grain of sand, given an appropriate instrument.
In the social sciences, it is also common to count frequencies of observations; i.e. frequencies of observable outcomes in an experiment. Examples include the number of correct scores on an assessment of an ability, and the number of statements on a questionnaire endorsed by respondents. Provided each observable outcome is the manifestation of an underlying quantitative attribute, such frequencies will generally indicate relative magnitudes of that attribute. Strictly speaking, however, counts and frequencies do not constitute measurement in terms of a unit of continuous quantity.
Use in prosody and poetry In prosody and poetic meter, syllable weight can be a governing principle. Many linguists use morae as a unit of syllable weight—a syllable with more morae is heavier than one with fewer morae. Commonly, syllables with naturally long vowels, diphthongs, and vowels followed by two or more consonants are said to be “heavy”, “long”, or “bimoraic”, whereas syllables with naturally short vowels, followed by only one or no consonant, are said to be “light”, “short”, or “monomoraic”. There is, however, considerable variation across the world's languages as to which coda-consonants contribute a mora to the syllable (i.e., make it heavy). At one end of the variation, only the length of the vowel determines syllable weight; at the other end each coda-consonant counts as one mora. Some languages use syllable weight in assigning word accent. Some poetic meters are based on the arrangement of heavy and light syllables. In linguistics, prosody refers to intonation, rhythm, and vocal stress in speech. ...
The examples and perspective in this article or section may not represent a worldwide view. ...
In linguistics, syllable weight is the concept that syllables pattern together according to the number and/or duration of segments in the rime. ...
Mora (plural moras or morae) is a unit of sound used in phonology that determines syllable weight (which in turn determines stress) in some languages. ...
A syllable (Ancient Greek: ) is a unit of organization for a sequence of speech sounds. ...
Note: This page contains IPA phonetic symbols in Unicode. ...
In phonetics, a diphthong (Greek δίφθογγος, diphthongos, literally with two sounds, or with two tones) is a vowel combination in a single syllable involving a quick but smooth movement from one vowel to another, often interpreted by listeners as a single vowel sound or phoneme. ...
In articulatory phonetics, a consonant is a sound in spoken language that is characterized by a closure or stricture of the vocal tract sufficient to cause audible turbulence. ...
Note: This page contains phonetic information presented in the International Phonetic Alphabet (IPA) using Unicode. ...
In linguistics, stress is the emphasis given to some syllables (often no more than one in each word, but in many languages, long words have a secondary stress a few syllables away from the primary stress, as in the words cóunterfòil or còunterintélligence. ...
References - 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.
- Nagel, E. (1932). Measurement. Erkenntnis, 2, 313-33, reprinted in A. Danato and S. Morgenbesser (Eds.), Philosophy of Sciences (pp. 121-140). New Yourk: New American Library.
Ernest Nagel (born November 16, 1901 in Prague, Czechoslovakia, died September 22, 1985 in New York City) was among the most important philosophers of science in his time. ...
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