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The nature of truth
The nature of truth
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The title asks one to what extent is truth different among mathematics, the arts and ethics; it does not question the existence of truth. I interpret truth as justified belief and categorize it into three approaches: personal, social and universal. Personal is what one perceives to be true, social is what a group perceives to be true, and universal is what the whole perceives to be true (Bernardin). In this essay, it will be shown that the approach towards finding the truth within mathematics, the arts and ethics vary, but upon further investigation, the final truth is intertwined.
Mathematics is approached as a universal truth. I was once given the equation
“9x – 7i > 3 (3x – 7u)” and asked to solve for “i”. Any mathematician who has been introduced to algebra would immediately execute the procedures necessary to isolate the “i”. Doing so, I determine the answer to be “i < 3 u”. According to mathematical reasoning that is the only true answer, and any mathematician around the world would get the same answer. Mathematics is approached without question or doubt unless another person attempts to solve the problem and arrives at a different answer. At that point, the two mathematicians would closely scrutinize the procedures used by both and eventually, confirm the answer to be “i < 3 u”. No matter where in the world one travels, mathematics is a universal concept. It is a connecting factor for all humans to share knowledge. Different units can be used for the same measurements, but there are always conversions and equations that can be used to determine values for comparison, such as converting a dollar to a Euro or inches to centimeters. Truth in mathematics is approached in a universal manner and concludes that when anyone a...
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... in a universal manner but can be found in the arts. The arts are approached in a personal manner but are influenced by mathematics and spark ethical issues. Ethics is approached in a social manner but can affect the arts. Overall, the approaches toward finding the truth within mathematics, the arts and ethics vary, but the final truth is intertwined.
Works Cited
Bernardin, Andrew. "Four Types of Truth." The Evolving Mind. N.p., 15 June 2008. Web. 25 Jan. 2010. .
Lamb, Robert. "How are Fibonacci numbers expressed in nature?" HowStuffWorks. Discovery Communications, 24 June 2008. Web. 28 Jan. 2010. .
Rowse, Darren. "Rule of Thirds." Digital Photography School. N.p., 2009. Web. 29 Jan. 2010. .
Rodriguez, Gregory. “Truth Is in the Ear of the Beholder.” Behrens and Rosen, pp. 484-85.
The Web. 17 May 2014. The "Kinds of Truth." www.gprep.com - www.gprep.com - www.gprep.com - www.gprep.com - www.gprep.com - www.g Web. The Web.
25 Brians Bibliography 1. What is the difference between a.. Brian, Paul. The "Enlightenment" of the.. 11 March 1998. http://www.wsu.edu/brians/hum_300/enlightenment.html (29 February 2000). 2.
Mathematics has become a very large part of society today. From the moment children learn the basic principles of math to the day those children become working members of society, everyone has used mathematics at one point in their life. The crucial time for learning mathematics is during the childhood years when the concepts and principles of mathematics can be processed more easily. However, this time in life is also when the point in a person’s life where information has to be broken down to the very basics, as children don’t have an advanced capacity to understand as adults do. Mathematics, an essential subject, must be taught in such a way that children can understand and remember.
Stakhov, A. P., and Boris Rozin. "The Golden Section, Fibonacci series, and new hyperbolic models of Nature." Visual Mathematics. Vol. 8. No. 3. Mathematical Institute SASA, 2006.
In the field of philosophy there can be numerous answers to a general question, depending on a particular philosopher's views on the subject. Often times an answer is left undetermined. In the broad sense of the word and also stated in the dictionary philosophy can be described as the pursuit of human knowledge and human values. There are many different people with many different theories of knowledge. Two of these people, also philosophers, in which this paper will go into depth about are Descartes and Plato. Descartes' Meditations on First Philosophy and Plato's The Republic are the topics that are going to be discussed in this paper.
...dge to one or two of the other forms by suggesting that all three forms of knowledge are logically interdependent. He argues this interdependence through the context of beliefs, and objective truth, and communication. While there is a real-world example of how this theory could falter (i.e. autism), by expanding his theory to address this counterexample, Davidson’s three varieties of knowledge can actually go a long way in explaining how we come to understand the feelings, emotions, and mental states of others.
...mathematical concepts is greatly influenced by their understanding of our number system. Consequently, any misconception concerning place value most be addressed promptly in order to ensure success in mathematics.
‘Nature abounds with example of mathematical concepts’ (Pappas, 2011, .107). It is interesting how much we see this now we know, regarding the Fibonacci Sequence, which is number pattern where the first number added to itself creates a new number, then adding that previous number to the new number and so on. You will notice how in nature this sequence always adds up to a Fibonacci number, but alas this is no coincidence it is a way in which plants can pack in the most seeds in a small space creating the most efficient way to receive sunlight and catches the most
The question that Leonardo Fibonacci solved with Fibonacci Numbers was about rabbit reproduction. The question was asking, “Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age...
How many times do you look at a photograph and the subject is smack in the middle of it? This may be a great photograph but you could make it look so much better by taking the rule of thirds into consideration. The Rule of Thirds has you mentally split the scene into nine equal squares with two vertical lines and two horizontal lines. The rule states that you should place your subject on or around one of the four points of intersection. It is a simple yet effective way of focusing the viewer's attention on the subject while adding depth to the image.
As a secondary subject, society often views mathematics a critical subject for students to learn in order to be successful. Often times, mathematics serves as a gatekeeper for higher learning and certain specific careers. Since the times of Plato, “mathematics was virtually the first thing everyone has to learn…common to all arts, science, and forms of thought” (Stinson, 2004). Plato argued that all students should learn arithmetic; the advanced mathematics was reserved for those that would serve as the “philosopher guardians” of the city (Stinson, 2004). By the 1900s in the United States, mathematics found itself as a cornerstone of curriculum for students. National reports throughout the 20th Century solidified the importance of mathematics in the success of our nation and its students (Stinson, 2004). As a mathematics teacher, my role to educate all students in mathematics is an important one. My personal philosophy of mathematics education – including the optimal learning environment and best practices teaching strategies – motivates my teaching strategies in my personal classroom.
As people grow, they are introduced to new concepts behind what they believed was fact. Undertaking this “disciplined study of increasingly abstract forms of knowledge” begins the path of refiguring the “conventional beliefs, prejudices and stereotypes of the time” (5). When people chose to begin the ascent to a higher level of understanding about their world, they do not, at first, see reality as reality. This takes time, as the regularly believed truths of ordinary society must be met with common sense. In this form, true truth is discovered.
Jerome S. B. , Goodnow J. J. and Austin G.A. (1967) Overview ( p.231-247):In A study of thinking . John Wiley and Sons Ltd, USA
Abstractions from nature are one the important element in mathematics. Mathematics is a universal subject that has connections to many different areas including nature. [IMAGE] [IMAGE] Bibliography: 1. http://users.powernet.co.uk/bearsoft/Maths.html 2. http://weblife.bangor.ac.uk/cyfrif/eng/resources/spirals.htm 3.