Pythagoras

Philosopher, mathematician, and the founder of Phythagoreaism, a philosophical school, and religious brotherhood

He was believed to be the recipient of divine knowledge directly from Apollo

So none could change his teory

Pythagoras believed in transmigration of souls

After death, the body dies but the soul changes body

For Phythagoras the Archè is the number

He belived it was the essence of all things, the number was considered as a set of units and every single unit could be a point

Tetraktis; the name of number 10, the perfect number because it is the result of (1+2+3+4=10)

Odd and Even numbers

Even numbers have a unlimited and incomplete shape

Odd numbers have a limited and complete nature

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Heraclitus

He was called "The Obscure"

He distinguished

Awake

Sleepers

They are the non-philosophers.

they can understand the truth of reality

Flux

the world is a perennial flux, everything flows like a river

Flux is identified by fire

It's a form of constantly changing energy which runs through reality

Parmenides

founder of the Eleatic school of philosophy

two possible ways for men:

the Way of Truth based on reason which discusses what is real

the Way of Opinion based on the senses, which discusses what is illusory.

The way of the truth is the path chosen by philosophers

Parmenides described the being with 8 attributes

immutable

motionless

eternal

one and homogeneous

imperishable

ungenerated

finite

necessary

Zeno

Member of the Eleatic school

He made paradoxes to reinforce Parmenides teories

They are a set of philosophical problems

1:Achilles and the tortoise

It's a race between a turtle and Achilles

Achillies gives the turtle a head start

Because the turtle has ha head start it will always win

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2:The arrow

for motion to occur, an object must change the position which it occupies

Ex: A Arrow that moves

At every istant of time there is no motion: if you take many pictures of it, ti will always be motionless

3:The Dichotomy paradox

If you want to get from a point to another you have to reach it's half first, then the half of the half and so on