The Greeks saw the greatest revolution over the philosophy of many great ideas and concepts. ... Pythagoras of Samos was such a great Greek philosopher that he made impacts not only in the philosophy of mathematics through the Pythagorean Theorem but also in other subject areas such as: harmony of the spheres in music, transmigration, the idea of essentially being a number, and the school he founded where he would lead a group of students to make a change through the knowledge he provided. ... The theory ultimately dealt with the metaphysical branch of philosophy which is the question of wha...

• Word Count: 1076
• Approx Pages: 4
• Grade Level: Undergraduate

James Milroy, Ian's mathematics teacher, persuaded him to stay at the school for one additional year to study mathematics. ... This allowed him to continue studying at Trinity College, Cambridge. ... Their book discussed applications of quantum mechanics instead of studying the theoretical foundations. ... Physics was known as natural philosophy in the Scottish Universities at that time. ...

• Word Count: 487
• Approx Pages: 2
• Grade Level: High School

Understanding of these accomplishments could only be reached by looking back and studying the works of antiquity. ... More people were therefore introduced to these disciplines which provided a broader base of learned individuals who contributed many important philosophies and ideas, having an impact on modern day science. ...

• Word Count: 353
• Approx Pages: 1
• Grade Level: Undergraduate

Teaching Mathematics at the High School Level Educational Philosophy Taking into consideration the competency level of an adolescent in high school, I am compelled to enforce an Essentialist approach toward education, using the methods of Behaviorism. ... Continually reinforcing correct behavior will undoubtedly lead to the desired conduct required for a systematic mastery of exacting studies. ...

• Word Count: 2637
• Approx Pages: 11
• Grade Level: High School

They included optics, mathematics, geometry, theology, philosophy, and chemistry. In the field of optics, or the study of light, Newton discovered that the white light from the sun was not a single entity as previously believed. ... For this reason, he investigated theology, the study of religion. ... Philosophy was a general term and basically meant "thinker." ...

• Word Count: 955
• Approx Pages: 4
• Grade Level: High School

It is said to be that this book inspired Newton to study original mathematical work. ... In some sixteen or seventeen months between 1685 and 1686 Newton wrote the Mathematical Principles of Natural Philosophy in Latin which was written Philosphiae Naturalis Principia Mathematica. ...

• Word Count: 593
• Approx Pages: 2
• Grade Level: High School

This man lived in the time of the first Ptolemy; for Archimedes, who followed closely upon the first Ptolemy makes mention of Euclid, and further they say that Ptolemy once asked him if there were a shorted way to study geometry than the Elements, to which he replied that there was no royal road to geometry. ... In his aim he was a Platonist, being in sympathy with this philosophy, whence he made the end of the whole "Elements" the construction of the so-called Platonic figures (website two). ... The work studies arithmetic, algebra, geometry and trigonometry and, despite the lack of orig...

• Word Count: 1938
• Approx Pages: 8

It was therefore a great creative breakthrough and it is therefore entirely predictable that the process by which it was invented has never been properly taught to the millions of people who study the calculus. ...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate