... nature and in man's creation were bequeathed to us by another great thinker of antiquity, Euclid of Alexandria. In thirteen books he collected The Elements of geometry, starting from the most basic concepts, "a point is that which has no part- and "a line is breadthless length-. After stating that "the extremities of ... that we should never renounce reality in our search for philosophical answers, I'm persuaded that it is in a universe similar in nature to the world of geometry that Euclid opens up for us, where Beauty herself exists. Using reason as our guide, we should look here for h...

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• Grade Level: Undergraduate

... the negatively charged components of the atom, also known as the electrons. Pythagoras was a famous mathematician that studied astronomy, logistics, and geometry. He came up with the Pythagorean Theorem. Euclid is considered the father of geometry, and reorganized a compilation of geometry proofs and created the most successful math textbook. Not only did the Ancient Greeks contribute in the field of math, they also ... ...

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... or was involved in. Most of the history that they wrote was on the Peloponnesian war. During the Hellenistic Period, science were the mathematicians, Alexandrian Euclid created the study of geometry. Archimedes was one of the greatest ancient Greek mathematicians. He calculated the value of Pi, which is identified to be the circumference of a circle and also explored important aspects of ... understood the health and how it influenced by diet and environment. Pythagoras' major contribution was his mathematical contributions. He believed that everything can be reduced using an easier way...

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• Grade Level: High School

... : "you know that a square figure is like this" (82b) "Do you agree?" (82e) " is it not?" (83c). In reality the language and persuasion Socrates uses teaches the attendant about the geometry of which attendant had no prior knowledge, even in his soul. It was through Socrates" lesson that he came to the appropriate reasoning. He gave answers such as: "yes" (85b ... of Socrates. Meno would often respond with "Definitely" (76c), "it does" (76e), and "certainly" (97b). This is the same sort of answers the attendant employs to answer Socrates" questions about geometry. This is significant beca...

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... the nature of science. Plato was a believer in the "quadrivium" which is about four math fields of study in the liberal arts, which begins with arithmetic, then to plane geometry, solid geometry, and lastly astronomy and harmonics. Plato believed that knowledge was "forgotten" at birth, and was able to be remembered. Plato also believed that all substances are composed of either air ... ...

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... answers. Socrates answers all Meno's questions. By doing so, Meno gets perplex and forces us to think. To defend the theory of recollection Socrates uses many examples such as the geometry problem with the slave boy. With each wrong answer from the boy, Socrates proceeds to lead Meno to the correct conclusion. At the end of the problem, the slave boy ... proves that the exercise can be recalled. He has a general sense of equality and has acquired his true opinions through recollection. Meno is finally convinced of Socrates theory. Following the geometry exercise, Socrates discusses the ...

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• Grade Level: High School

... knowledge (71). Thus, the immortal soul is able to recollect all things before, including virtue. To support his argument, Socrates asks one of Meno's slaves who had never been taught geometry. He gives a series of geometrical problems and asks the slave to work them out and answer the questions. The slave arrives at the correct answer after "recollecting", meaning he must ... remains unclear, because the main question "what is virtue?" has no definite answer. Socrates arrives at the conclusion that knowledge is recollection by asking the slave, who was never taught geometry, numerous q...

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• Grade Level: High School

... . Right in line with his theory of Forms Plato uses mathematics as his example in the dialogue with the boy, trying to demonstrate that he has some concept of the geometry of a square. Plato had hoped that this philosophical inquiry could yield similar results as what were later displayed in the Republic with his concept of justice by examining what was ... not knowing what justice is, or what beauty and goodness is. The same is true with the boy in Meno, he is not able to completely grasp these concepts of geometry because he is just imitating the Forms from knowledge in a previous life...

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• Grade Level: Undergraduate

... , 1956, p. 129) Thus, Plato (1956) is declaring that the soul is the source of knowledge for the learner. Plato expands on this declaration by having Socrates question a slave boy about a geometry problem. Socrates' questions help the boy discover the answer about a concept he believed not to be cognizant of. This experience highlights the notion Plato espouses: that learning the truth is ... ...

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• Has Bibliography
• Grade Level: High School

... guidance that they can come to actively know. Through questioning, knowledge is recovered from within. A good example of this is the part of Meno when Socrates questions a slave boy about a geometry problem. The boy seemed to know nothing about Socrates" problem. However, through a series of questions, the boy actually knew the answer without knowing he solved the problem. Although Socrates" beliefs ... ...

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• Grade Level: High School

... solar system. Eratosthenes calculated that the earth's circumference was 24,662 miles and was within 1 percent of our modern calculations. Euclid, a highly regarded mathematician, wrote the elements, which contained 465 geometry propositions and proofs. Another important scientist, Archimedes of Syracuse, accurately estimated the value of pi. He also explained the law of the lever and invented the pulley to lift heavy ... ...

• Word Count: 703
• Approx Pages: 3
• Grade Level: High School

... solar system. Eratosthenes calculated that the earth's circumference was 24,662 miles and was within 1 percent of our modern calculations. Euclid, a highly regarded mathematician, wrote the elements, which contained 465 geometry propositions and proofs. Another important scientist, Archimedes of Syracuse, accurately estimated the value of pi. He also explained the law of the lever and invented the pulley to lift heavy ... ...

• Word Count: 703
• Approx Pages: 3
• Grade Level: High School