Archimedes
Archimedes lived during 287? - 212 B.C. The nationality of Archimedes is Greek in which he was born in Syracuse, Sicily. (World 605). Archimedes attended a school in Alexandria, Egypt. He was trained by such greats as Conon and Eratosthenes. (Math 22)
The area of work that Archimedes was knows for is his work in Geometry and astronomy because his father was an astronomer. Archimedes is also known for Hydrostatics, static mechanics, pycnometry and he is called the “father of integral calculus.” (MCS 1).
His mathematical contributions are endless and are still used to this day. First there is his method of finding Pi, the ratio between the diameter and circumference of a circle. This was greatly needed in his times for builders dealing with large works of art. He also computed the area of a segment of a parabola. By using triangles he found them to be the pieces of Geometry. There is the Archimedean spiral that is still used in Egypt to drain and fill farmland with water. It is a tube with a spiral screw that is turned and then the water enter the chambers and comes out the other side. Other remarkable works are the Sandreckoner that is where he starts a number system capable of expressing numbers up to 8x1016. He says this method can be used to count all the grains of sand in the world. He was also known for his invention of the catapult, which helped the Greeks with there Roman problems. (Math 24).
Thing that helped and hindered Archimedes in mathematical greatness are concededly dealt with wars. Such as the Rome and Carthage war when the Romans decide to invade Syracuse. Archimedes used his math knowledge to come up with catapults and a large grappling hooks, that where hooked to a lever that in turn lifted the ships out of the water and dropped them. One of the most different things that he did that dealt with the war was when they attack, Archimedes had the Greek men hold up special shaped shields that were focused on the ships and when the sun hit the shields the ships went up in flames this is also a myth that no one knows the truth to. This in turn helped and hinder him it made him come up with new ideas but he had no time to deal with other thing of non-war activities (Gap 7)
Aristophanes is believed to have been born in Athens, Greece, in the deme, or township, of
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Believing that reason is the main source of knowledge is another clear distinction of rationalism. Rationalists believe that the 5 senses only give you opinions, not reasons. For example, in Descartes’ wax argument, he explains how a candle has one shape to begin with- but once the candle is lit, it begins to melt, lose its fragrance, and take on a completely different shape than it had started with. This argument proves that our senses can be deceiving and that they should not be trusted.
Pericles comes from Acamantis tribe, in Athens, Greece. He was born around 495 BC, to Xanthippus (A war hero, and prominent politician), and Agariste (from the powerful and noble family, Alcmaeonidae). One of Pericles’ most notable ancestors was Cleisthenes, the reformer, who helped
Sophocles was born around 496 B.C. in the rural area of Hippeious Colonus, Attica, near Athens. His father was an wealthy armor manufacturer (“Sophocles”). Sophocles was educated in music, dancing, and athletics.
Socrates was born in Athens, Greece in 469 B.C. where he lived all of his life. His father was a wealthy sculptor named Sophroniscus and friend to the family of Aristides, the founder of the Delian League from which the empire arose. His mother was said to be a “midwife” (which implies nothing about her place in society) named Phaenarete.
As the study of logic has evolved over time, so have the theories that are used to arrive at accepted truths. While the human mind natural seeks to make meaning of the world, it is important to note that reasoning can be fallible, even when the premises are widely accepted truths. Utilizing mathematics, philosophy, and many other disciplines, logicians will continue to attempt to discover ways to uncover universal truths. While the Bayesian confirmation theory and syllogism approach arriving at conclusions in very distinct ways, they both have value in revealing these truths.
Euclid and Archimedes are two of the most important scientists and mathematicians of all time. Their achievements and discoveries play a pivotal role in today’s mathematics and sciences. A lot of the very basic principles and core subjects of mathematics, physics, engineering, inventing, and astronomy came from the innovations, inventions, and discoveries that were made by both Euclid and Archimedes.
However, his greatest contribution to mathematics is considered to be logic, for without logic there would be no reasoning and therefore no true valid rules to the science of mathematics.
Reasoning is the action of constructing thoughts into a valid argument. This is probably something you do every day. When you make a decision, we are using reasoning. By taking different thoughts and thinking why you should go with one thought over another. Inductive and deductive reasoning are both propositional logic. Propositional logic is the branch of logic that studies ways of joining and simplifying entire propositions, statements to hold more complicated propositions or statements. This means it uses a combination od facts to come up with a conclusion.
What are in cigarettes in today’s society? According to the American lung association, “There are roughly 600 ingredients in cigarettes today,” and most of them are not listed on each cigarette box. When a person lights up a cigarette, it create about 7,000 different chemicals. Many of these chemicals are poisonous to our health and 70 of those chemicals are cancer causing. Several of these chemicals are found in consumer products that have warning labels on them saying to contact a doctor if ingested. To name a few of these chemicals, tar used for paving roads, arsenic used in rat poison, cadmium used in an active ingredient in batteries, carbon monoxide, methanol used in
Carl Friedrich Gauss is revered as a very important man in the world of mathematicians. The discoveries he completed while he was alive contributed to many areas of mathematics like geometry, statistics, number theory, statistics, and more. Gauss was an extremely brilliant mathematician and that is precisely why he is remembered all through today. Although Gauss left many contributions in each of the aforementioned fields, two of his discoveries in the fields of mathematics and astronomy seem to have had the most tremendous effect on modern day mathematics.
Rene Descartes may have been most famous However, mathematics appealed to him the most for its innate truthfulness and application to other branches of knowledge. Later in his life, he developed both mathematical and philosophical concepts that are still used widely today. Overall, Rene Descartes should be considered one of the most influential mathematicians of all time for his work in analytic geometry, which set the foundation for algebraic, differential, discrete, and computational geometry, as well as his application of mathematics into philosophy.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.