Question
Here is the question : WHAT MATHEMATICAL CONCEPT WAS EXPLORED BY THE GREEKS, BUT NOT THE ROMANS?
Option
Here is the option for the question :
- Fractions
- Weights and measures
- Irrational numbers
- Adding machines
The Answer:
And, the answer for the the question is :
Explanation:
Roman numerals don’t have a place for irrational numbers because they can’t be written as the ratio of two integers. Unfortunately for the Romans, this meant that they lacked access to fundamental concepts in Greek abstract mathematics like pi. Because of this constraint, the Roman civilization contributed little to subjects like number theory and geometry.
The Greeks and Romans were both ancient civilizations with a rich legacy in mathematics and science. While they shared many similarities in their approach to mathematics, there were also significant differences in the concepts and ideas that they explored. One such concept that was extensively explored by the Greeks but not by the Romans was that of irrational numbers.
An irrational number is a number that cannot be expressed as a simple fraction of two integers. These numbers have an infinite decimal expansion that does not repeat, and they are represented by a non-terminating, non-repeating sequence of digits. The concept of irrational numbers was first explored by the Greek mathematicians, who were fascinated by the idea that there were numbers that could not be expressed as simple fractions.
One of the most famous examples of an irrational number is the square root of 2. The Greeks discovered that the square root of 2 cannot be expressed as a simple fraction, and they proved this using a geometric argument. They showed that if the square root of 2 could be expressed as a fraction, then it would be possible to draw a square with sides of equal length and area equal to 2 using only a straightedge and compass. However, they found that this was impossible, and thus concluded that the square root of 2 must be irrational.
The Greeks made many other important discoveries related to irrational numbers, including the fact that the sum of the infinite sequence of digits in the decimal expansion of an irrational number is infinite and non-repeating. They also developed methodsfor approximating irrational numbers, such as using a sequence of rational numbers that converge to the irrational number.
In contrast, the Romans did not explore the concept of irrational numbers to the same extent as the Greeks. While they made important contributions to mathematics and engineering, their approach to mathematics was more practical and focused on solving real-world problems. The Romans were interested in arithmetic, geometry, and trigonometry, but they did not delve into the abstract concepts and theoretical frameworks that the Greeks explored.
One reason why the Romans may not have explored irrational numbers to the same extent as the Greeks is that they did not have the same level of interest in pure mathematics. The Romans were more focused on practical applications of mathematics, such as building aqueducts, bridges, and roads. Their mathematics was primarily used as a tool for engineering and construction, rather than as a means of exploring abstract concepts and ideas.
the legacy of both civilizations continues to influence mathematics and science to this day. The concept of irrational numbers is now a fundamental part of modern mathematics, and it has applications in fields as diverse as physics, computer science, and crypto