The Greeks used a system of mathematics that was based on geometry and written in the form of axioms and proofs. This system was highly influential in the development of modern mathematics.
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The Greeks used a system of mathematics that was based on geometry and written in the form of axioms and proofs. This system was highly influential in the development of modern mathematics. According to Aristotle, “The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.” Here are some interesting facts about Greek mathematics:
- The Greeks, particularly Euclid, were responsible for developing the concept of axioms and proofs, which form the basis of modern mathematics.
- Greek mathematicians were interested in studying conic sections, which are the shapes formed when a plane intersects a cone. This led to the development of algebraic equations for these shapes.
- The Greeks also used a system of notation for expressing numbers that was based on letters of the alphabet. For example, alpha represented 1, beta represented 2, and so on.
- Perhaps the most famous theorem in all of mathematics, the Pythagorean Theorem, was actually known to the Greeks long before Pythagoras himself. However, Pythagoras is credited with proving the theorem and giving it his name.
- Another famous Greek mathematician, Archimedes, made significant contributions to the field of calculus through his work on measuring curved surfaces and volumes.
Here is a table comparing some key elements of Greek mathematics to modern mathematics:
|Greek Mathematics||Modern Mathematics|
|Based on geometry||Based on multiple branches|
|Used axioms and proofs||Uses logical reasoning and proof|
|Studied conic sections and shapes||Studies complex geometries and topologies|
|Used a system of notation based on letters||Uses numerals and mathematical symbols|
In conclusion, the Greeks played a significant role in the development of mathematics through their system of geometry and emphasis on axioms and proofs. Their contributions continue to shape the way we study and understand mathematics today.
Response video to “What did the Greeks use for math?”
In “The Greek Legacy: How the Ancient Greeks shaped modern mathematics,” the concept of proof is discussed. Ancient Greek mathematicians developed the idea of proof over 2,500 years ago, which established mathematics as a way of understanding and testing the reality of the world. By creating convincing arguments to demonstrate whether something is true or false, the Greeks laid the foundation for modern mathematics. Euclid’s development of proof with basic assumptions called axioms has led to modern mathematical understandings in fields like cryptography and engineering.
Other approaches of answering your query
The Greeks had two primary forms of enumeration, both dating from around 800–500 BC. In Attic Greek (Attica = Athens) strokes were used for 1–4 and larger numerals used the first letter of the words for 5, 10, 100, 1000 and 10000. For example, Πεντε (pente) is Greek for five, whence Π denoted the number 5.
But the ancient Greeks certainly had numbers. In fact, they had what was in some ways a much more elegant system than the clunky Roman numerals—like I, II, III—that we still occasionally adopt today. Like Roman numerals, their system borrowed letters; like the Arabic numerals we still use, it only needed one symbol for each decimal place.
The Greeks seems to use the Latin letters together with Greek letters as the rest of us. Here is a screen dump from some notes on Functional analysis. Of course this is just an example.
I’m sure you will be interested
How did the ancient Greeks use math?
Response will be: Ancient Greek mathematics was not limited to theoretical works but was also used in other activities, such as business transactions and in land mensuration, as evidenced by extant texts where computational procedures and practical considerations took more of a central role.
What type of math did the Greeks make?
Answer will be: During the late 4th and early 3rd Century BCE, Euclid was the great chronicler of the mathematics of the time, and one of the most influential teachers in history. He virtually invented classical (Euclidean) geometry as we know it.
Where did the Greeks get math from?
Answer: The Egyptian and Babylonian influence was greatest in Miletus, a city of Ionia in Asia Minor and the birthplace of Greek philosophy, mathematics and science.
How were the Greeks so good at maths?
As a response to this: The astronomical knowledge of Babylonian and Chaldean culture became available to the Greeks who profited by exploiting it systematically. This led to the advance of many Greek mathematical tools, such as the use of a numeral system with 60 as its base, which allowed the Greeks to divide circles into 360 degrees.
Did the ancient Greeks contribute much to mathematics?
In reply to that: There is a significant contribution made by Ancient Greeks to the field mathematicians from fundamentals of geometry to the idea of formal proof. Greek mathematician also contributed importantly to ideas on number theory, mathematical analysis, applied mathematics, and, at times, approached close to integral calculus. Click to see full answer.
How did the ancient Greeks contribute to little mathematics?
In reply to that: There is a significant contribution made by Ancient Greeks to the field mathematicians from fundamentals of geometry to the idea of formal proof. Greek mathematician also contributed importantly to ideas on number theory, mathematical analysis, applied mathematics, and, at times, approached close to integral calculus.
What contributions did the ancient Greeks make to chemistry?
Response to this: Their trade, as workers in precious metals, involves melting gold and silver, mixing alloys, changing the colour of metals by mysterious process. These are the activities of chemistry. The everyday items of a chemical laboratory – stills, furnaces, flasks – are all in use in Alexandria.