Ancient Greek mathematicians contributed enormously to fundamental math that built up from practical math such as geometry, engineering, astronomy and the astonishing academic contributions to worldly influences. Greek mathematicians would the one of the earliest civilizations to transform mathematics into rational thoughts when viewing all the concepts in the world. From ancient mathematicians such as the Egyptians and Babylonians, they both viewed their calculations through reasoning and using repeated observations to seek solutions to their equations. There was no real framework of their proof being certain since geometric considerations played a second role in arithmetic formulas. Greek mathematicians were influenced by the Egyptians and …show more content…
They were interested in proving that certain mathematical ideas were true and spent a lot of time using geometry to prove their theories. Due to this, the Greeks were all influenced on the idea of proof and they used logical stages to prove or disprove their theories and its solutions. Also to distinguish the difference between what can work and what cannot. It can heavily influence on means to convince someone or oneself that something is true through proved arguments based on reason. In mathematics, a proof is a deductive argument for a mathematical statement and nobody will ever find a counterexample, nor ever gainsay that particular mathematical fact (Krantz). That is why math is based on deductive reasoning and through this mathematicians are reassured on their absolute and proven theories. This also gave the building blocks to the mathematician Euclid and his famous work, the Elements, which proved geometry from deductive reasoning to prove common notions and postulates. Through the Elements, Euclid organized and presented the basics of mathematical knowledge with results that were presented in a formally logical order. His logical framework for geometry was very concise and even if one accepts the consensus view, it is still reasonable to seek some sort of the explanation of the success of the practice (Avigad). Through this, every statement demanded a
The creations of Pythagoras were very powerful during the era in which he lived in. He created a community of followers (known as the Pythagoreans) who believed that mathematics was fundamental and ‘at the heart of reality’ (source 1). The people in the society were all proficient mathematicians took mathematics very seriously, to the extent that it was similar to a religion (source 1).
The Abbasids were the first ones to study and translate important Greek and Indian mathematical book like Euclid's geometry text the Elements. They adopted a very Greek approach to mathematics of formulating theorems precisely and proving them formally in Euclid's ways.
Two widely known ancient civilizations in history are those of the Greeks and the Egyptians. Both are famous in their history and favored by many. Each of these civilizations were built from the ground up, and they developed their own culture, practices, religions, and architectures. Although these two civilizations are similar in having this development, they differ significantly in each of these aspects of life. In this essay, we will observe the similarities and differences of Greek and Egyptian religion, as well as their attitudes towards women in this time.
In comparing and contrasting the societies of Periclean Athens and ancient Egypt, we must first mention some of the characteristics of an actual society: a society has a stable food supply, social levels and classes, specialization of labor, a system of government, and a highly developed culture. Both the societies of ancient Athens and Egypt fit into these parameters. In this essay we will explore social classes, gender relations, social inequality, and hierarchy as they apply to these societies.
2). This method of thinking led to the beginning of the scientific method. The scientific method is finding a question, making a hypothesis, conducting an experiment, analyze your data, and make a conclusion based on your experiment. Without ancient Greek philosophers, we would have a different outlook on life.
Ancient Greek philosophy focused on the role of reason and inquiry. It had a meaningful influence on latest philosophy, as well as science. The impact from ancient Greek and Hellenistic philosophers was expanded to medieval Muslim philosophers and scientists, to the European Renaissance and Enlightenment, to the modern technology and natural sciences. Ancient Greek architects strove for the
The ancient Egyptian and ancient Greek civilizations are two of the oldest known civilizations in our history. The Egyptian civilization, based in the eastern part of North Africa, is believed to have started around 3150 BC and continued till the end of the Pharaoh rule in 31 BC. The ancient Greek civilization is believed to have been in effect from 1100 BC till about 146 BC. Many similarities and differences existed between these two civilizations, as even though they co-existed during a certain timeframe (1150 BC to 146 BC), they were located in different geographical areas. Because of these differences in geography, both these civilizations were subjected to different kinds of exposure, which included contact with other civilization and cultural inheritance. In the political sphere, we find that the Egyptian civilization had stronger emphasis on central authority, while the Greeks had a more decentralized structure, where powers were distributed over the cities and the states as well. As far as art is concerned, we find that the Egyptians were more involved in creating great monumental and gaudy structures, while the Greeks were more involved in creating smaller, more literary pieces of art.
Egypt of the pharaohs is best known for its great monuments and feats of engineering (such as the Pyramids), but it also made great advances in many other fields too. The Egyptians produced early forms of paper and a written script. They developed the calendar too and made important contributions in various branches of mathematics, such as geometry and algebra, and it seems likely that they understood and perhaps invented the use of zero. They made important contributions in mechanics, philosophy, irrigation and architecture. In medicine, the Egyptians understood the body’s dependence on the brain over 1000 years before the Greek scholar Democritus. Some historians now believe that ancient Egypt had an important influence on ancient Greece, and they point to the fact that Greek scholars such as Pythagoras and Archimedes studied in Egypt, and that the work of Aristotle and Plato was largely based on earlier scholarship in Egypt. For example, what is commonly known as Pythagoras’ theorem, was known to the ancient Egyptians hundreds of years before Pythagoras’ birth.
The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.
Lastly, the most important areas of Greek achievement were math and science. They achieved all kinds of things in the areas of psychology, astronomy, geometry, biology, physics, and medicine. In astronomy they formulated the ideas that the sun was 300 times larger than the earth, the universe was composed of atoms, and they also calculated the true size of the earth. Someone that was greatly involved in astronomy was Aristotle. In geometry, ancient Greeks found the value of pi, and Euclid, who wrote the book Elements around 30 B.C., theorized that of two straight lines cut one another, the vertical, or opposite, angles shall be equal. In physics, the lever and pulley was invented along with a force pump which eventually evolved into a stream engine. Important people in this area were Archimedes and Pythagoras who were two of the many influential in the Greek citizens. Ancient Greece has definitely made many influential contributions to that of western civilizations.
Ancient Egypt (3000 BCE – 30 BCE) and Ancient Greece (1200 BCE – 146 BCE) based their entire lives around their religious beliefs. These beliefs led to their religious practices which were included in every aspect of their lives. Since ancient Greece’s and ancient Egypt’s beliefs differ greatly, endless differences can be shown between their religious practices. However, between the two cultures, many surprising similarities can be seen in these religious practices despite the tremendous differences. Through learning about where their religious beliefs and practices started, the bigger picture of history in general can be learned. As well, the similarities between ancient Greece’s and ancient Egypt’s religious practices can be seen as not
Geometry first originated as a way to solve problems in architecture and navigation. A famous figure in geometry is Euclid. Around 300 BC, he published a book, The Elements, which contained definitions, axioms, and postulates that would be regarded as a standard of mathematical reasoning for the next two thousand years (Mueller, 1969). Euclid basically gave the foundation of what is now called Euclidean geometry. However,
Over the years of art history, there are many great empires that we think of and two of those were ancient Greek and Egyptian. When talking about Greek and Egyptian art history, it is the sculptures that come to mind when you are comparing and contrasting artworks. Egyptian art and Greek art both had mesmerizing sculptures but Egyptian art was more oriented towards religion and Greek art was more focused on philosophy. The Egyptian statue of the Menkaure and a Queen was similar to the Greek statue of Metropolitan Kouros in their posture but both of these statues also had many differences. Menkaure and a queen statue was created from an unusual stone and the statue was discovered in Menkaure’s valley temple. The sculpture has a hard texture and because of the time-consuming task of polishing this sculpture was never completely polished. So, the sculpture is greywacke and has traces of red paint on king’s face, ears and neck because male figures were traditionally painted red and there are traces of black in queen’s hair. The sculpture itself is 54 ½ inches in height and is displayed in the Museum of Fine Arts, Boston. Metropolitan Kouros was created from marble which seems like it has a rough and hard texture. The statue is 6 feet in height and is displayed at the Metropolitan Museum of Art, New York.
Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions. This latter view encompasses mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical deduction and inference based on
Euclid's most famous work is his dissertation on mathematics The Elements. The book was a compilation of knowledge that became the center of mathematical teaching for 2000 years. Probably Euclid first proved no results in The Elements but the organization of the material and its exposition are certainly due to him. In fact there is ample evidence that Euclid is using earlier textbooks as he writes the Elements since he introduces quite a number of definitions, which are never used such as that of an oblong, a rhombus, and a rhomboid. This book first began the book by giving the definition of five postulates. The first three are based upon constructions. For example, the first one is that a straight line can be drawn between two points. These three postulates also describe lines, circles, and the existence of points and the possible existence of other geometric objects. The fourth and fifth postulates are written in a different nature. Postulate four states that all right angles are equal. The fifth one is very famous. It is also can be referred to as the parallel, the fifth parallel. It states that one and only one line can be drawn through a point parallel to a given line. His decision to create this