This philosopher formally developed and standardized geocentric theory into a mathematical model.

Who is Ptolemy?
Aristotle believed that an object's very essence (earth, air, fire, or water) is what caused it to do this.

Fall
This early Greek philosopher believed that the reason there was both change and order in the world was because everything is made of water.

Who is Thales?
Around 600 BC, in ancient Greece, Western philosophy began with this problem.

What is the Problem of Change?
This philosopher created a complete, working mathematical model of the solar system with the Sun at the center.

Who is Copernicus?
'Free fall' simply means that the falling object is free from any force acting on it, other than this.
What is gravity?
This philosopher was the first person to view the world as fundamentally mathematical. He also was the first to find that musical intervals could be represented by whole numbers.

Who is Pythagoras?
The ancient Greeks used this word to describe any kind of change whatsoever.
What is motion?
"For Plato, the ultimate goal for humans is to become mathematical-to become like reason itself- by studying these arts." These arts included the quadrivium - arithmetic, geometry, astronomy, and music." The others are known as the trivium and include these arts.

What are grammar, logic (dialectic), and rhetoric.
Aristotle created this equation which states the following:
w1/w2 = Δh1/Δt1 * Δt2/Δh2
What is Aristotle's law of free fall?
This philosopher believed that all of reality was divided into a physical and nonphysical realm. The nonphysical realm is made up of Ideas or Forms.

Who is Plato?
This is the language of physics.
What is Calculus?
What we now call science was initially referred to as this until the late 1800s.
What is Natural Philosophy?
Galileo focused primarily on two kind of terrestrial motion: the motion of projectiles, and this.

What are falling objects?
This philosopher postulated that motion is impossible since an infinite number of infinitesimal distances need to be covered in an infinite amount of infinitesimal times.

Who is Zeno?
The capital Greek letter Delta stands for this.
What is 'change in'?
According to Aristotle, celestial spheres were not 'merely theoretical mathematical tools to describe the motions.' He believed they were physical and made of this.

What is ether or quintessence?
Galileo's updated law of free fall is as follows:
d=½at2
where 'a' stands for this.
What is the rate of acceleration?
This philosopher discovered mathematical principles for objects floating in water and presented his work in "On Floating Bodies." Oh, and rumor has it that he also once ran through the streets naked, shouting "Eureka!"

Who is Archimedes?
The very notion of speed at an instant of time seems to be incoherent (0 distance/0 time = undefined) and is given this name.

What is the Paradox of Speed?