The Pythagorean School

Description: The Pythagorean School was a secret society founded by Pythagoras in the 6th century BC. The Pythagoreans were interested in mathematics, music, and philosophy, and they believed that everything in the universe could be explained by numbers.
Number of Questions: 15
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Who founded the Pythagorean School?

  1. Plato

  2. Aristotle

  3. Pythagoras

  4. Socrates


Correct Option: C
Explanation:

Pythagoras founded the Pythagorean School in the 6th century BC.

What were the Pythagoreans interested in?

  1. Mathematics

  2. Music

  3. Philosophy

  4. All of the above


Correct Option: D
Explanation:

The Pythagoreans were interested in mathematics, music, and philosophy.

What did the Pythagoreans believe?

  1. That everything in the universe could be explained by numbers

  2. That the Earth was the center of the universe

  3. That the soul was immortal

  4. All of the above


Correct Option: A
Explanation:

The Pythagoreans believed that everything in the universe could be explained by numbers.

What is the Pythagorean theorem?

  1. $a^2 + b^2 = c^2$

  2. $a^2 - b^2 = c^2$

  3. $a^2 + b^2 = 2c^2$

  4. $a^2 - b^2 = 2c^2$


Correct Option: A
Explanation:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is the Golden Ratio?

  1. $1.618033988749895$

  2. $1.732050807568877$

  3. $1.845964996391796$

  4. $1.959979184614694$


Correct Option: A
Explanation:

The Golden Ratio is an irrational number approximately equal to 1.618033988749895.

What is the Pythagorean comma?

  1. The difference between the frequency of two notes that are a whole step apart

  2. The difference between the frequency of two notes that are a half step apart

  3. The difference between the frequency of two notes that are a third apart

  4. The difference between the frequency of two notes that are a fourth apart


Correct Option: A
Explanation:

The Pythagorean comma is the difference between the frequency of two notes that are a whole step apart.

What is the Pythagorean tuning system?

  1. A system of tuning musical instruments based on the Pythagorean comma

  2. A system of tuning musical instruments based on the Golden Ratio

  3. A system of tuning musical instruments based on the frequency of the Earth's rotation

  4. A system of tuning musical instruments based on the frequency of the Moon's orbit


Correct Option: A
Explanation:

The Pythagorean tuning system is a system of tuning musical instruments based on the Pythagorean comma.

What is the Pythagorean brotherhood?

  1. A secret society founded by Pythagoras

  2. A group of mathematicians who studied the Pythagorean theorem

  3. A group of musicians who studied the Pythagorean tuning system

  4. A group of philosophers who studied the Pythagorean philosophy


Correct Option: A
Explanation:

The Pythagorean brotherhood was a secret society founded by Pythagoras.

What is the Pythagorean way of life?

  1. A way of life based on the Pythagorean philosophy

  2. A way of life based on the Pythagorean theorem

  3. A way of life based on the Pythagorean tuning system

  4. A way of life based on the Pythagorean brotherhood


Correct Option: A
Explanation:

The Pythagorean way of life is a way of life based on the Pythagorean philosophy.

What is the Pythagorean legacy?

  1. The Pythagorean theorem

  2. The Golden Ratio

  3. The Pythagorean tuning system

  4. The Pythagorean brotherhood


Correct Option:
Explanation:

The Pythagorean legacy includes the Pythagorean theorem, the Golden Ratio, the Pythagorean tuning system, and the Pythagorean brotherhood.

What is the Pythagorean school known for?

  1. Mathematics

  2. Music

  3. Philosophy

  4. All of the above


Correct Option: D
Explanation:

The Pythagorean school is known for mathematics, music, and philosophy.

What is the Pythagorean belief about the universe?

  1. The universe is made up of numbers

  2. The universe is made up of atoms

  3. The universe is made up of energy

  4. The universe is made up of matter


Correct Option: A
Explanation:

The Pythagoreans believed that the universe is made up of numbers.

What is the Pythagorean belief about the soul?

  1. The soul is immortal

  2. The soul is mortal

  3. The soul is reincarnated

  4. The soul is a part of God


Correct Option: A
Explanation:

The Pythagoreans believed that the soul is immortal.

What is the Pythagorean belief about ethics?

  1. Virtue is the highest good

  2. Pleasure is the highest good

  3. Wealth is the highest good

  4. Power is the highest good


Correct Option: A
Explanation:

The Pythagoreans believed that virtue is the highest good.

What is the Pythagorean belief about politics?

  1. The best government is a monarchy

  2. The best government is a democracy

  3. The best government is an aristocracy

  4. The best government is a tyranny


Correct Option: C
Explanation:

The Pythagoreans believed that the best government is an aristocracy.

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