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Natural Human Languages and Mathematics, 2005.
This paper discusses the similarities of human languages and mathematics.
675 words (approx. 2.7 pages), 1 source, $ 26.95
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Abstract
This paper relates that one often hears people say, "I am good with languages but useless at math" and vice versa as if the two were entirely opposite ways of thinking. The author points out that closer examination of human language and mathematics reveals a surprising number of similarities. The paper states that the most obvious similarity between the two is that both natural human languages and mathematics have a formal syntax i.e. a set of rules that governs them.
From the Paper
"Human languages and mathematics seem on the face of it to be very different things. One often hears people say "I am good with languages, but useless at math", and vice versa, as if the two were entirely opposite ways of thinking. However, closer examination reveals a surprising number of similarities. The most obvious similarity between the two is that both natural human languages and mathematics have a formal syntax, i.e. a set of rules that governs them. In the case of language, this is a set of rules that governs how the words may be put together. "
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Natural Human Languages and Mathematics, 2005.
This paper examines the similarities between natural human languages and mathematics.
675 words (approx. 2.7 pages), 1 source, $ 26.95
»
Click here to show/hide summary
Abstract
This paper relates that both natural human language and the language of mathematics have a precise formal syntax. The author points out that they both offer meaning in the form of semantics and rely upon a body of commonly held assumptions. The paper concludes that both language and mathematics formalizes the informal in order to facilitate the communication and comprehension of meaning.
From the Paper
"Upon considering the relationship between natural human language and mathematics, it becomes evident that a number of similarities exist, for both natural human language and the language of mathematics have a precise formal syntax, both offer meaning in the form of semantics, and both rely upon a body of commonly held assumptions. Each of them formalizes the informal in order to facilitate the communication and comprehension of meaning. Lewis Carroll offers examples of the relationship between natural human language and mathematics in his dialogue between the Tortoise and Achilles, for their conversation reveals how linguistic uses of logic are similar to mathematical equations."
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Language and Mathematics, 2005.
This paper explores the similarities that exist between language and mathematics.
675 words (approx. 2.7 pages), 4 sources, $ 26.95
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Abstract
This paper explains that obvious similarities conclude that human language may be reducible to mathematical formulation. The author points out that that mathematics consists of sets of axioms in which statements can be either true or not. The paper relates, while this does not necessarily seem very much like language, Godel's Incompleteness Theorem relates that meaning can exist outside of axiomatic sets, providing a new basis for similarity.
From the Paper
"It should not be surprising that mathematicians and linguists have drawn parallels between these two disciplines. There are obvious similarities that have made many believe that human language may be reducible to mathematical formulation. Some have even attempted to use the assumption to teach machines how to speak, constructing complex utterances based on a limited number of syntactical rules. However, these efforts and others to fully connect mathematics and language have proved largely unsuccessful. The following paper will briefly examine some of the similarities between language and mathematics. By its nature, language has a combinational structure, known as syntax or grammar, that permits the communication of complex ideas (Devlin "Born")."
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Language and Mathematics, 2005.
This paper discusses the similarities of language and mathematics.
675 words (approx. 2.7 pages), 3 sources, $ 26.95
»
Click here to show/hide summary
Abstract
This paper explains that language and mathematics are similar in that they both have rules. The author points out that people make assumptions when it comes to language and mathematics, which may not be proven and only are assumed to be correct. The paper relates that mathematics and language have many similarities such as syntax and semantics.
From the Paper
""Colorless green ideas sleep furiously," are words with specific meaning but put together in a sentence they clearly lack meaning (Devlin, Born). Does language and communication mean the same thing? Do the formulas for mathematics always have the same answers? Language and mathematics do not always make sense without the formal rules of syntax. People make assumptions when it comes to language and mathematics that may not be proven and only assumed to be correct. Mathematics and language have many similarities such as syntax and semantics."
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Soft Computing, 2004.
This paper reviews the development, applications, and future of soft computing.
1,125 words (approx. 4.5 pages), 5 sources, MLA, $ 39.95
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Abstract
In this article, the writer defines the term of soft computing as a collection of mathematical and reasoning disciplines that when incorporated into decision-making models provide a means for considering the effects of uncertainties on probably future outcomes. The writer reviews the development of soft computing and looks at applications. Further, the writer discusses the future of soft computing.
From the Paper
"Soft computing (S.C.) refers to a collection of mathematical and reasoning disciplines that when incorporated into decision-making models provide a means for considering the effects of uncertainties on probably future outcomes. The mathematical and reasoning disciplines typically included in the definition of S.C. are a probabilistic reasoning (P.R.) S.C. models allow analysts to include data characterized by imprecision uncertainty partial truth and approximation in decision analyses ... "
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Alan Lightman's "Einstein's Dreams", 2005.
Applies of theories of developmental psychology to Alan Lightman's book "Einstein's Dreams".
1,350 words (approx. 5.4 pages), 2 sources, APA, $ 47.95
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Abstract
This paper looks at the way Alan Lightman's novel, "Einstein' Dreams", handles Einstein's theory of the relativity of time, mainly the "elasticity" of time. The paper discusses this in terms of how it relates to adult cognitive development.
From the Paper
"Alan Lightman's book "Einstein's Dreams" is a novel that plays with Einstein's theory of the relativity of time. There is a proverb that says "a watched pot never boils". It requires some level of cognitive development to understand this proverb. It does not mean that the water in the pot will never boil. Depending on the level of heat applied to the pot, the water could boil in as quick a time as three minutes. However, for someone who stands over the pot and ..."
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Who is Rene Descartes?, 2004.
A biographical account of the life of philosopher Renee Descartes and a look at his basic philosophy.
1,125 words (approx. 4.5 pages), 3 sources, APA, $ 39.95
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Abstract
This paper provides a general biography of Rene Descartes, as well as a basic summary of his philosophical tenets. The paper also discusses Descartes' accomplishments in the field of mathematics as well as philosophy.
From the Paper
"Often considered the father of modern philosophy, Renee Descartes is one of the most influential ground-breaking thinkers in the history of human thought. Indeed his accomplishments go beyond the field of philosophy as he was an elite mathematician who is credited with inventing analytic geometry. However it is Descartes' work in laying the philosophic foundation for modern scientific thought that is his greatest achievement. Descartes' philosophy was deeply rooted in rationalism because he began his inquiry by questioning the very validity of the knowledge that man believes he possesses."
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Qualitative and Quantitative Research, 2004.
This paper discusses qualitative and quantitative research methodologies.
904 words (approx. 3.6 pages), 11 sources, APA, $ 31.95
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Abstract
This paper defines qualitative methods and quantitative methods. The author differentiates their uses. The paper assesses their suitability for use in human relations studies.
From the Paper
"Research data may be evaluated through the application of either quantitative or qualitative analytical procedures. Quantitative approaches are more easily defined than are qualitative procedures because qualitative research may refer to either the way data are measured or the way such data are evaluated. A quantitative variable is one than can be measured numerically such as annual income. Quantitative data are produced by ordinal interval and ratio scales; while qualitative data are produced by nominal scales. Quantitative data ..."
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Galileo, 2005.
This paper is a biography of the mathematician Galileo.
904 words (approx. 3.6 pages), 2 sources, APA, $ 31.95
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Abstract
This presents an overview of Galileo's birth, family life, upbringing education and cause of death. The author points out the countries in which he lived and worked. The paper examples of Galileo's contributions and most important works.
From the Paper
"According to Al Van Helden online, Galileo was born in Pisa, Italy, on February ..., the first of six children. While his family belonged to the nobility, it was not rich as his father was a musician. Once he was old enough to be educated in a monastery, his parents sent him to the Camaldolese Monastery at Vallombrosa. The Camaldolese Order combined the solitary life of the hermit with the strict life of the monk. Galileo enjoyed his time at the monastery and he became a ..."
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Algebra, 2005.
A look at the use of algebra in everyday life.
690 words (approx. 2.8 pages), 1 source, MLA, $ 23.95
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Abstract
This paper uses a problem from everyday life and sets up an algebraic equation to solve it. It then solves the problem. In this case the problem is a plane flying from San Francisco to Hawaii which experiences an emergency and it is necessary to determine at what point on the flight it is faster to continue to Hawaii than return to San Francisco, given the air speed, the tail wind factor and the distance between San Francisco and Hawaii.
From the Paper
" A plane is flying miles from San Francisco to Hawaii. It is flying at a speed of mph and there is a tailwind blowing at mph. Problem How many hours after take off would it be faster to keep on flying to Hawaii than to turn around and fly back to San ..."
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