PurFact

Pythagoras

12 questions · Philosophy

Pythagoras, born around 570 BC on the Greek island of Samos, is one of antiquity's most enigmatic figures: everyone knows his name from maths class: yet the man himself left not a single line, and legends swirled around him even in ancient times. Around 530 BC he left Samos, supposedly out of distaste for the tyrant Polycrates, and emigrated to Croton in southern Italy. There he founded a community that was school, religious order and lifestyle reform in one: the Pythagoreans shared their property, practised silence, examined their conscience every evening and revered number. For that is the core of Pythagorean teaching: 'All is number.' The world is ordered by mathematical ratios: audible in music, where Pythagoras is said to have discovered that harmonious intervals correspond to simple ratios of string lengths: 2:1 gives the octave, 3:2 the fifth. From this idea grew the notion of a 'harmony of the spheres', a music of the heavenly bodies. The famous Pythagorean theorem about the squares on a right-angled triangle had long been known in practice to Babylonians and Egyptians: but the link with his name, and the fame of its proof, stuck to him. His teaching also included the transmigration of souls: the immortal soul is reborn into new bodies: which is why the Pythagoreans ate no meat. One anecdote has Pythagoras begging a man to stop beating a dog: in its whimpering he claimed to recognise the voice of a departed friend. Did you know that the word 'philosophy' itself is said to go back to Pythagoras? He refused to be called 'wise', preferring to be merely a 'lover of wisdom': philosophos. He died around 500 BC in Metapontum; his number mysticism echoed through Plato into modern science.

Practise for free

PurFact brings every card back right before you would forget it. That's how knowledge sticks.

All questions with answers

On which Greek island was Pythagoras born?

Show answer

Samos

Around 530 BC he emigrated to Croton in southern Italy: supposedly out of distaste for the tyrant Polycrates.

💡 Did you know? Pythagoras was born on the island of Samos but emigrated and founded his school in southern Italy.

What is the core tenet of Pythagorean teaching?

Show answer

All is number

The world is ordered by mathematical ratios: from music to the orbits of the heavens.

💡 Did you know? „All is number“: the Pythagoreans believed the whole world rests on numerical ratios.

Which geometric theorem states a² + b² = c²?

Show answer

Pythagorean theorem

Babylonians and Egyptians had long known the relationship in practice: yet the fame stuck to him.

💡 Did you know? The theorem a² + b² = c² was known long before Pythagoras: but the Greeks credited him with the first proof.

What is Pythagoras said to have discovered about harmonious intervals?

Show answer

simple number ratios

2:1 gives the octave, 3:2 the fifth: music as audible mathematics.

💡 Did you know? Pythagoras discovered that harmonious notes correspond to simple ratios: the octave, for instance, to 2:1.

What is the Pythagorean notion of a music of the heavenly bodies called?

Show answer

harmony of the spheres

The planets produce tones as they orbit: Kepler was still searching for this world harmony.

💡 Did you know? The „harmony of the spheres“ is the idea that the circling heavenly bodies produce an inaudible music.

What fate after death did the Pythagoreans believe in?

Show answer

transmigration of souls

The immortal soul is reborn into new bodies: even animals; hence the Pythagoreans ate no meat.

💡 Did you know? The Pythagoreans believed in the transmigration of souls; the soul is reborn after death in a new body.

Whose voice did Pythagoras, according to the anecdote, recognise in a dog's whimpering?

Show answer

a departed friend's

He begged the owner to stop beating the dog: the anecdote comes from Xenophanes, probably meant mockingly.

💡 Did you know? According to legend, Pythagoras stopped a dog from being beaten: he recognised in its whimpering the voice of a dead friend.

In which southern Italian city did Pythagoras found his community?

Show answer

Croton

School, order and lifestyle reform in one: shared property, exercises in silence, daily self-examination.

💡 Did you know? In Croton, Pythagoras founded a strict community with shared property, vows of silence and dietary rules.

Which word is Pythagoras said to have coined (as a 'lover of wisdom')?

Show answer

philosophy

He refused to be called 'wise', preferring to be merely a lover of wisdom: so the ancient tradition.

💡 Did you know? The anecdote is not certain: like so much about Pythagoras.

How many writings of his own did Pythagoras leave?

Show answer

none

The teachings were passed on orally within the order: what stems from him personally is disputed to this day.

💡 Did you know? Pythagoras himself left no writings: all we know of him comes from pupils and later authors.

In which city did Pythagoras die around 500 BC?

Show answer

Metapontum

After unrest against the Pythagoreans in Croton; the brotherhood was later violently destroyed.

💡 Did you know? After his order was violently broken up, Pythagoras died around 500 BC in Metapontum in southern Italy.

Pythagoras

Foto: The original uploader was Galilea at German Wikipedia. · Public domain · Wikimedia Commons

Which philosopher is shown here?

Show answer

Pythagoras

Pythagoras was a Greek thinker and mathematician whose school declared numbers the key to the whole world.

💡 Did you know? He is said to have been a committed vegetarian and even forbidden his pupils to eat beans.

How PurFact works

Practise for free

More on this topic

Philosophy: all topics →