How Did Plato Contribute To Geometry

Being one of the greatest philosophers of his time, Pythagoras created a society of skilled mathematicians who worked together to facilitate mathematics, showed how numbers can be independent, and proved the Pythagorean theorem, making him iconic in mathematics today. His discoveries of simple yet essential methods are prevalent today throughout many mathematical fields in which they are treasured.

Born in Athens in 437 B.C, Greek philosopher Plato is one of the most powerful thinkers in history. Coming from Greek aristocracy, Plato had political ambitions as a young man and appeared to follow the family tradition. However, Socrates and his dialectical method of inquiry, which was to question and answer everything to show ignorance, soon captivated Plato.

David Hilbert was a German mathematician whose research and study of geometry, physics, and algebra revolutionized mathematics and went on to introduce the mathematic and scientific community with a series of mathematical equations that have yet to be solved. Furthermore, his study of mathematics laid the groundwork for a variety of ongoing mathematic analyses, which continue to influence the world today.

Plato is remembered as one of the worlds best known philosophers who along with his writings are widely studied. Plato was a student of the great Greek philosopher Socrates and later went on to be the teacher of Aristotle. Plato’s writings such as “The Republic”, “Apology” and “Symposium” reveal a great amount of insight on what was central to his worldview. He was a true philosopher as he was constantly searching for wisdom and believed questioning every aspect of life would lead him to the knowledge he sought. He was disgusted with the common occurrence of Greeks not thinking for themselves but simply accepting the popular opinion also known as doxa. Plato believed that we ought to search for and meditate on the ideal versions of beauty, justice, wisdom, and other concepts which he referred to as the forms. His hostility towards doxa, theory of the forms, and perspective on reality were the central ideas that shaped Plato’s worldview and led him to be the great philosopher who is still revered today.

Greek mathematical and scientific ideas have also been a large contribution. Euclid, a Greek mathematician, wrote many theorems. His theorems have been very substantial because they are included in today’s mathematical problems. One of his theorems include “If two straight lines cut one another, the vertical, or opposite, angles shall be equal.” This specific theorem is used in proofs and it proves that all vertical angles are equal. Hippocrates was a Greek physician who created the Hippocratic Oath. This oath

Plato was a philosopher who was born in Athens (470-390 BCE), and was also a student of Socrates. He felt that intelligence and one’s perception belonged to completely independent realms or realities. He believed that general concepts of knowledge were predestined, or placed in the soul before birth even occurred in living things. Plato believed that the cosmos was intelligible, and the the universe was mathematically understandable. He believes that mathematical objects could be seen as perfect forms. Forms, a doctoral of Plato, can be understood as an everyday object or idea, which does not, exists in the everyday realm, but merely is existent in the hypothetical realm or reality.

Plato was born in Athens, Greece around 427 B.C. He was always interested in politics, until he witnessed his mentor and teacher, Socrates, death. After learning of the callousness of politics, Plato changed his mind and eventually opened up The Academy, which is considered if not the first, one of the first Universities. Students at the Academy studied many different fields of science, including biological and astronomical. The students also studied many other fields, such as math. Plato developed many views that were mathematical in nature. He expressed these views through his writings. According to Dr. Calkins of Andrew University, "Timaeus is probably the most renowned of Plato's thirty-five dialogues. [In it] Plato expresses that he

Mathematics and art have always been closely related: Golden ratio, symmetry, proportion and geometry are elements in the art; not surprisingly, many great artists of history have been great mathematicians; they have been supported in mathematics to express reality with an artistic language. By definition geometry comes from the Greek: Ge = earth and Metron = measure. That is, it is the branch of mathematics that studies the measurement of the Earth that is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs. (Geometry. (2015).

Plato was a student of Socrates and a teacher of Aristotle. Together, these three men are regarded as the founders of Western philosophy. Plato dedicated his life to helping people reach fulfillment. He established the Academy of Athens. He is often commended for allowing his ideas to be open to interpretation. Among Plato’s popular theories:

What properties does Plato attribute to the Cosmos, and why does it have these properties?

Plato, in addition to being a philosopher, wrestled at the Olympic level, is one of the classical Greek authors, mathematicians and the founder of The Academy, the first higher learning institute in the west. In short, Plato is one of the great thinkers in history and his contributions to philosophy, ethics and politics are many and varied. One of Plato’s main philosophical ideas is based on the idea that the world

There are many great philosophers in this world. Some of which are extremely well known and almost everyone knows their names like Socrates, Plato Aristotle Locke and so very many more. Pythagoras is a less known philosopher who had a lot of discoveries while leading a life in a secretive manner. He was an enigma and the leader of a religious sect cult who believed the universe to consist solely of whole numbers and their ratios. Pythagoras said "Do not talk a little on many subjects, but much on a few." Has one ever wondered where did he learn his vast knowledge of mathematics and religious aspects leading to the Pythagorean cult, or what was all of his discoveries besides

“Everything which exist in this world and all things that we see around us are not as they appear to us” this is the core idea behind plato’s theory of forms.From this idea only he moves towards explaining his world of forms or ideas.

Plato was a philosopher and educator in ancient Greece. He was one of the most important thinkers and writers in the history of Western culture. Plato was born in Athens into a family that was one of the oldest and most distinguished in the city. His father Ariston died when Plato was only a child. The name Plato was a nickname meaning broad shoulders. Plato's real name was Aristocles. Plato had aspirations of becoming a politician, however these hopes were destroyed when his friend Socrates was sentenced to death in 299 B.C. Extremely hurt Plato left Athens and traveled for several years. In 387 B.C., Plato returned to Athens and founded a school of philosophy and science that became known as the Academy. Topics such as astronomy,

Euclid’s assumptions about his postulates have set the groundwork for geometry today. He provided society with definitions of a circle, a point, and line, etc and for 2000 was considered “the father of geometry.” His postulates proved to be a framework from which mathematics was able to grow and evolve, from two thousand years ago, till Newton and even to all our classrooms today.