Philosophers
Who made the Pythagoras Theorem famous and was one of the greatest philosophers of the time.
Plato
What is the most important problem in philosophy?
"Why do things change?"
What is the problem of motion?
Motion can be both predictable and unpredictable.
When did Zeno live?
400 BC
What are the Trivium?
Grammar, Logic, Rhetoric
Alexander the Great's teacher. He did other stuff to I guess.
Aristotle.
It refers to change and transformation as well as simple movement.
When did Pythagoras (roughly) live?
500 BC
What is Plato's Challenge?
To mathematically describe the chaotic motion of the heavens.
What is the Quadrivium?
Arithmetic, Geometry, Astronomy, and Music.
The first Greek philosopher (and scientist) was ___
(extra points if you correctly guess his century)
Thales Miletus (circa 500 BC)
What is natural philosophy?
What two important views did Plato inherit from the Pythagoreans?
1: The human soul is immortal.
2: The physical world is fundamentally mathematical.
What was Zeno's outrageous suggestion?
That motion simply can't occur.
What was the homework that Plato assigned the Academy?
Create mathematical systems that accurately describes and predicts the motion of the heavens.
Mathematician, Scientist, and Philosopher, ______ is credited for creating the _____ Theorem.
Pythagoras.
How was Thales important?
(there are two answers)
1: For first providing the problem of change.
2: Being the first mathematician.
What were the two realms Plato divided reality into?
A physical realm and a non-physical realm
Who said, "You can never step into the same river twice."?
Heraclitus.
According to Plato, why was the study of mathematics important?
For our souls to become part of the ultimate reality.
This philosopher created a paradox that is still not figured out today
Zeno
What was Thales' original answer to the problem of change? And why?
Water. It connects almost everything, providing unity. Unification is one of the main goals for any scientific theory.
why is Plato's problem of change so difficult to solve today?
Because math, science, and philosophy are mostly divided.
What were the three difficulties with describing motion using mathematics?
Each correct answer is worth 500 points.
1: The difficulty of discovering the exact mathematics.
2: The conceptual problems surrounding the idea of motion.
3: Space, Time, and Motion.
What is Plato's Heavens?
A world outside our own filled with ideas.