Thoughts & Questions
Three most prominent features of the revolution
What is the overthrow of Aristotle, the reintroduction of the Plato-Pythagorean Project, and the mathematization of motion.
Calculus
The math of change
Explained/Described falling objects
Who is Galileo?
The study of knowledge
What is Science?
A tool in a math person's belt.
What is calculus
Galileo's views on cosmology, and terrestrial physics (example: copernicanism/law of free fall.)
Discovered calculus
Newton
set of mathematical laws
*Will accept only this answer* ;)
The assumption of the creator of the Universe.
Who is Newton?
Well Begun is half done.
Who is Aristotle?
big picture of calculus to understand mathematical details.
Goal of Chapter 6
the smaller definition of calculus.
Is the mathematics of change, but really ALL change
Math attention to the celestial
Plato's perspective
faith gave way to reason and science
Deriviatives?
Fluxions instead for flowing motion
Four problems of life
Describing continually changing velocity and acceleration
finding the slope of curves
finding the tangent line to a curve
finding the area under a curve
Triangle shape
Greek letter delta; or change
Greek problem: the division of two sets of laws.
one set governed terrestrial material and the other for celestial matter
....redone from scratch....
Physics had to be redone.
What the Pythagorean's used pebbles to represent numbers themselves.