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Q: What was the Greek phrase that was used by ancient pythagoreans as a way to emphasize that their argument was valid since it originated from Pythagoras himself?
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What other theorems did Pythagoras formulate?

In Croton (now Crotone, southern Italy) Pythagoras founded his famous philosophical school. He had many followers who "Pythagoreans" called. Pythagoras was the head of a group of close followers who "mathematikoi" were mentioned. They lived permanently within the walls of the 'community'. They had no personal possessions and were vegetarians. They were taught by Pythagoras himself and obeyed strict rules. They learned: that the essence of all mathematics; philosophy that can help achieve spiritual purity; the soul is one with the divine; that certain symbols have a mystical significance; they each had to exercise strict loyalty. Both men and women could not mathematikoi ', so that some (later) women Pythagoreans became famous philosophers. Besides mathematikoi knew the Pythagoreans akousmatikoi community, not within the walls of the "community" living. They could have possessions and were not a vegetarian. From 510 BC. touched the Pythagorean Community in Croton in the difficulty after winning Sybaris by Croton. However, they spread over many other Italian cities. After 500 BC. Community was more political and after 460 BC. Members were then prosecuted. Their meeting places were destroyed. Many Pythagoreans then fled to Thebes and other Greek cities. Further work of the Pythagoreans are: Proof that the angles of a triangle along two right angles, and the extension of this argument: a polygon with n sides is the sum of the interior angles equal to that of 2n - 4 right angles. Constructing figures with a given surface and a kind of geometric algebra. (What we call equations solved it geometrically on.) The discovery of irrational numbers: numbers that are not broken to write, as the root of 2. The five regular solids: tetrahedron (regular tetrahedron), cube, octoëder (regular octahedron), dodecahedron (regular dodecahedron); isocaëder (regular eight p.m. plane). In astronomy, they learned that the earth was a sphere in the center of the universe, that the orbit of the moon an angle to the equator and the morning star Venus plannet was the same as Venus the evening star.


What is an unsound argument?

An unsound argument is a theory or hypothesis that does not have a logical base. For instance, the idea that the sun revolves around the earth is an unsound argument.


What is argument based on mathematics?

In an argument based on mathematics the conclusion is claimed to depend largely and entirely on some mathematical calculation or measurement.


A syllogism is an in its simplest form?

[Logical] argument.


Why you restrict the argument of a complex number between -pi and pi?

Because the trigonometric functions (sine and cosine) are periodic, with period 2*pi. If the argument were not restricted, you would have an infinite number of answers. You could, of course, restrict the argument to any interval of size 2*pi: 3.5pi to 5.5pi, for example.

Related questions

What is the Greek phrase that was used by ancient Pythagorens as a way to emphasize that their argument was valid since it originated from Pythagoras himself?

Pentemychos - a pentagon - it had five angles where the seeds of the god Chronos were placed within the Earth in order for the cosmos to appear


What other theorems did Pythagoras formulate?

In Croton (now Crotone, southern Italy) Pythagoras founded his famous philosophical school. He had many followers who "Pythagoreans" called. Pythagoras was the head of a group of close followers who "mathematikoi" were mentioned. They lived permanently within the walls of the 'community'. They had no personal possessions and were vegetarians. They were taught by Pythagoras himself and obeyed strict rules. They learned: that the essence of all mathematics; philosophy that can help achieve spiritual purity; the soul is one with the divine; that certain symbols have a mystical significance; they each had to exercise strict loyalty. Both men and women could not mathematikoi ', so that some (later) women Pythagoreans became famous philosophers. Besides mathematikoi knew the Pythagoreans akousmatikoi community, not within the walls of the "community" living. They could have possessions and were not a vegetarian. From 510 BC. touched the Pythagorean Community in Croton in the difficulty after winning Sybaris by Croton. However, they spread over many other Italian cities. After 500 BC. Community was more political and after 460 BC. Members were then prosecuted. Their meeting places were destroyed. Many Pythagoreans then fled to Thebes and other Greek cities. Further work of the Pythagoreans are: Proof that the angles of a triangle along two right angles, and the extension of this argument: a polygon with n sides is the sum of the interior angles equal to that of 2n - 4 right angles. Constructing figures with a given surface and a kind of geometric algebra. (What we call equations solved it geometrically on.) The discovery of irrational numbers: numbers that are not broken to write, as the root of 2. The five regular solids: tetrahedron (regular tetrahedron), cube, octoëder (regular octahedron), dodecahedron (regular dodecahedron); isocaëder (regular eight p.m. plane). In astronomy, they learned that the earth was a sphere in the center of the universe, that the orbit of the moon an angle to the equator and the morning star Venus plannet was the same as Venus the evening star.


A valid argument which shows that a mathematical statement called a theorem is true?

Pythagoras' theorem is only theorem regarding right angle triangles but it is true.


What does counter argument mean?

A counter argument is an argument made against another argument.


What is the use of passing an argument by value?

Passing an argument by value means that the method that receives the argument can not change the value of the argument. Passing an argument by reference means that the method that receives the argument can change the value of the incoming argument, and the argument may be changed in the orignal calling method.


What is more common inductive argument or deductive argument?

Inductive Argument


What are the 4 fundamentals of logic?

Argument Deductive argument Inductive Argument Analogy


What is the correct spelling for argument?

argument


What is an informal argument?

an argument with information


What makes an argument an argument?

An argument is inductive when it is based on probability, such as statistics. In an inductive argument, if the premises are true, the conclusion is probably true.


What if an argument does not commit a fallacy?

If an argument does not commit a fallacy, it does not necessarily mean that the argument is sound. A fallacy is an argument that uses poor reasoning.


Which element is needed for a sound argument?

Evidence to support the argument is needed for a sound argument.