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Calculus 4E Ch 6

Calculus 4E Ch 6 - Newton and Calculus

QuestionAnswer
Name 1 of the 3 main characteristics of the Scientific Revolution The overthrow of Aristotle
Name 1 of the 3 main characteristics of the Scientific Revolution The reintroduction of the Platonic-Pythagorean Project
Name 1 of the 3 main characteristics of the Scientific Revolution The mathematization of motion
What was the Platonic-Pythagorean Project? the general project of uncovering the mathematical order or nature that hides behind chaotic appearance
Galileo agreed with the Copernican (or _________________________ )view of cosmology. heliocentric
Galileo discovered a mathematical way of describing ____________ objects. falling
Newton studied mathematics, optics, chemistry, and theology.
Aristotle said that the cause of change was to be found in an object's ____________. nature
People thought the celestial realm was made of a fifth essence called aether.
terrestial realm, aka: sublunary realm
aether, aka quintessence
Copernican cosmology required a _____________ set of laws to describe the entire cosmos. single
Newton's Principia, published in 1687 The Mathematical Principles of Natural Philosophy
Newton derived a set of mathematical laws that applied to the entire cosmos and unified _____________. physics
Two people credited for inventing calculus: Newton and Leibnitz
Leibniz did not apply calculus to the _______________ world. physical
People were excited by Newton's Prinicipia because it demonstrated that man's reason could discern divine design and hidden truth.
Newton saw his physics as a way of worshiping God and investigating His handiwork.
The Enlightenment a period in Western history when people saw a chance to turn from religion/tradition to reason/enlightened self-dependence
Some people think the lesson of the Scientific Revolution was that science could free us from religious ignorance and oppression.
Some people's understanding of the Scientific Revolution was ironic because it culminated with a Christian mathematician & scientist inventing calculus & applying it to the physical world.
Name 1 of the 3 Pythagorean theses that Morris Kline said were the core beliefs underlying the Scientific Revolution: The universe is ordered according to perfect mathematical laws.
Name 1 of the 3 Pythagorean theses that Morris Kline said were the core beliefs underlying the Scientific Revolution: Divine Reason is the orderer.
Name 1 of the 3 Pythagorean theses that Morris Kline said were the core beliefs underlying the Scientific Revolution: Human reason can discern the divine mathematical pattern.
calculus the mathematics of change
Calculus was invented to solve 4 problems: 1) describing continually changing velocity & acceleration; 2) finding the slope of a curve; 3) finding the tangent to a curve; 4) finding the area under a curve
Leibniz was the first to use the term calculus.
Discussing the "whys" of calculus _____ a part of mathematics! IS
"Calculus" means ____________ or _____________ in Latin. pebble (or) stone
Created by: MrsHough
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