SCIENTIFIC REVOLUTION  of 17th C.                     

I. Thomas Kuhn, The Structure of a Scientific Revolution (1962)

1) paradigm: universally recognized model from which a coherent tradition
    of scientific research originates; set of rules or assumptions guiding
   ordinary science: e.g. any basic textbook account of a science

2) data: organized and given meaning by paradigm;
   without paradigm, data gathering is random procedure

3) anomalies: data which does not fit current paradigm;
   growth of anomalies leads to search for new paradigm

II. Old World View

Aristotelian Physics: explanations of motion
           natural motion of matter (up: fire, air; down: earth, water)
           acceleration of falling bodies (jubilancy, homecoming)
           projectile motion: impossibility of vacuum, rush of air
           distinction between earthly & heavenly (perfect) motion

Ptolemaic universe: (Ptolemy, 2cd century AD Greece)
geocentric, crystalline spheres which require mover,
           angels turn spheres; music of the spheres
           finite universe: boundary is primum mobile
           boundary between sphere of earth (corruptible)& heavens (incorruptible)
           celestial motion is uniform & circular

problem of motion of planets in Ptolemaic astronomy
observation of retrograde motion = anomaly, not uniform or circular
solution: epicycles, deferents, eccentric orbits
result: loss of "conceptual economy" (Kuhn)

Copernican Revolution: Nicolas Copernicus, Polish monk

    Major work:  De revolutionibus orbium caelestium 1543
    Revolutionary proposals:      (On the revolutions of the heavenly sphere)

      heliocentrism: rejects motion of sun
          motion of earth, no longer central to universe
          retrograde motion of planets is optical illusion

Conservatism of Copernicus
       insistence on circular motion as more perfect
       religious motivation: to display divine order
       desire for single all encompassing explanation

 Opposition to heliocentrism:       common sense (sun rises & sets)
      Scripture: condemned by both Protestants & Catholics
      threatens entire Christian cosmology, world view (see Donne poem, over)

III. Post-Copernican Astronomy

     Tycho Brahe (1546-1601)
         careful observation & recording of planetary motions;
         observation of comet & supernova in l570's: end of crystalline spheres
         publishes 1st printed tables of observations: standardized, repeatable
         data available to all astronomers; anomalies become more apparent

     Tychonic system:  compromise between Copernicus & Ptolemy
           earth at center of rotating stellar sphere
           moon & sun in old Ptolemaic orbits around earth
           other planets orbit around sun

     Joannes Kepler (1571-1630)     mechanical, mathematical approach
           three mathematical laws describe planetary motion, but do not explain it
               1. elliptical orbits (two foci of motion)
               2. planets do not move at uniform speeds
               3. line from planet to sun describes equal areas in equal times
          Kepler's laws confirmed by Newton, explained as the effects of gravity;

IV. Astronomy, Physics and Mathematics in the Seventeenth Century

    Galileo Galilei (1584-1642)

    Astronomy: popularizer of Copernican system
     1609 telescope: qualitatively new data made visible; views new stars,
       sun spots (corruptibility), moons of Jupiter, phases of Venus
     1616 "Copernicanism" condemned as heresy by Roman Catholic Church
     1625 Dialogue on Two Chief World Systems: attack on Ptolemy & Aristotle;
        first major public defense of Copernican system; written in vernacular
        debate between Salviati (Galileo), Sagredo (man of the world), and
      1630-33 trial by Roman Inquisition, required to abjure Copernican heresy,
        sentenced to house arrest in Florence; reported to say under his breath
         after recanting: "Eppure si muove." -- "Yet it (the earth) does move."

    Physics: mathematics as "language of nature," need to read book of universe
      mathematical descriptions of types of motion, without explanation:
      falling bodies: writes equation describing acceleration of falling bodies
         but cause of pattern not understood; no theory of gravity until Newton
      inertial motion: explains planetary motion by circular inertia; wrong
         (inertial motion is linear), but important for concept of inertia

Rene Descartes: inventor of analytical geometry (Cartesian coordinates)
     geometrical shapes, math'l equations express relationships between bodies

Issac Newton (1642-1727) student at Cambridge, then Fellow 1667-97; lectures on
      mathematics and physics (especially optics & mechanics); also chemistry
      Platonic view of universe as mathematical in structure

    Principia Mathematica 1687 (Mathematical Principles of Natural Philosophy)
    central work of classical physics: defines mass, momentum, inertia, force;
      gravity posited as common principle underlying earthly and heavenly motion
      and force that keeps universe intact (in absence of crystalline spheres)

 Newton's Three Laws of Motion:

 I. Inertia -- Every body continues in its state of rest or of uniform recti-
       linear motion unless compelled to change its state by action of forces.
II. Acceleration or any change of motion is proportional to the force acting,
       and takes place along  the straight line along which the force acts.
III. To every action there is an equal and opposite reaction; or the
      actions of two bodies on each other are always equal and opposite.

 The calculus: technique for mathematical description of motion (measuring speed and
   changes in rates of speed); independently discovered by Newton and Leibniz

 Religion: God as author of laws of universe, omniscient, eternal, perfect;
        origins of Deist concept of God as "clockmaker" who winds up universe

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John  Donne,  An Anatomy of the World  1611

And new philosophy calls all in doubt,
The element of fire is quite put out;
The sun is lost, and the earth, and no man's wit
Can well direct him where to look for it. 
And freely men confess that this world's spent,
When in the planets, and the firmament
They seek so many new; then see that this
Is crumbled out again to his atomies. 
'Tis all in pieces, all coherence gone;
All just supply, and all relation: 
Prince, subject, father, son, are things forgot,
For every man alone thinks he hath got
To be a phoenix, and that then can be
None of that kind, of which he is but he.