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SC/NATS 1730, VII
1
Aristotle
Knowledge comes from experience
SC/NATS 1730, VII 2
Aristotle
 384 - 322 BCE
 Born in Stagira, in
Thrace, near
Macedonia.
 The “Stagirite.”
 Son of Nichomacus,
prominent physician.
 Aristotle was likely
trained in medicine.
SC/NATS 1730, VII 3
Plato’s Student
 At age 17, Aristotle
was sent to study with
Plato at the Academy.
 He became Plato’s
most important
student, remaining at
the Academy 20
years, until Plato’s
death.
SC/NATS 1730, VII 4
Aristotle becomes a royal tutor.
 When Aristotle left the Academy in 347, he settled briefly
on islands near the Ionian coast, then accepted an
invitation to teach the son of the Macedonian king, Philip II,
whose father had been attended by Aristotle’s own father.
SC/NATS 1730, VII 5
Alexander the Great
 Aristotle tutored
Phillip’s son,
Alexander, for 5
years until Phillip
died and Alexander
assumed the
throne.
 Alexander went on
to conquer much of
the nearby world.
SC/NATS 1730, VII 6
The Lyceum
 In 335 BCE, Aristotle returned to Athens and established his
own school, in competition with the Academy.
 Named the Lyceum, as it was adjacent to the temple to the god
Apollo Lykaios.
 Morning serious lectures
 Evening public lectures
 Inclusive curriculum
 Classification approach
 Aristotle associated with Alexander
 After Alexander's death in 323, Aristotle fled Athens to prevent
“a second sin against philosophy.”
SC/NATS 1730, VII 7
Aristotle’s works
 What we have as Aristotle’s works are
about 30 closely written, terse, treatises on
a full range of philosophical and scientific
topics.
 These may have been his morning
lectures, or even student’s notes on those
lectures.
SC/NATS 1730, VII 8
…versus Plato’s works
 In contrast, Plato’s surviving works consist
of about 20 dramatic dialogues that discuss
philosophical issues in a Socratic,
dialectical, questioning manner.
 Aristotle may have written such works as
well, but they have not survived.
SC/NATS 1730, VII 9
The foundation of western philosophy
– and science
 Aristotle’s works – more than Plato’s – laid
the groundwork for the systematic
development of philosophy and the basic
framework for the understanding of nature.
 Logic, empirical evidence, systematic
explanation.
 Sound methodology, wrong conclusions.
SC/NATS 1730, VII 10
The benchmark for the understanding
of nature
 The standard view of the world for 2,000
years.
 To understand the development of science
it is necessary first to grasp Aristotle’s
methods and his conclusions about nature.
SC/NATS 1730, VII 11
Empiricism
 First, Aristotle grounds all knowledge on
experience.
 This is unlike Plato for whom knowledge came
only when the philosopher escaped from the
world of sense perception, which could mislead.
 Reality, for Aristotle, was the world around us,
not the objects of the mind, which could be just
fantasy.
SC/NATS 1730, VII 12
Aristotle, the biologist
 Students at the Lyceum collected
specimens, dissected, and classified them.
 Analysis of life forms arose from
examination of many real examples.
 Similarly every subject was examined and
classified.
SC/NATS 1730, VII 13
Contrasting World
Views
A basic division in how the
world is understood:
 Plato – (pointing up) true
knowledge comes from
contemplating the abstract
ideas.
 Aristotle – (pointing down)
true knowledge comes
from close examination of
the world around. Plato and Aristotle from
Raphael’s School of Athens.
SC/NATS 1730, VII 14
Contrasting World Views, 2
The ideal form, an example:
 For Plato, a geometric object, e.g. a
triangle, circle, cube, etc.
 The true object exists only in the mind. Actual
representations are only approximate.
 For Aristotle, an animal or plant species,
e.g. roses, trout, human beings, etc.
 The species is what all the instances of it have in
common.
SC/NATS 1730, VII 15
Logic
 The way to knowledge beyond what is
presented to the senses.
 Based upon Parmenides’ principle of the
excluded middle.
 A statement is either true or false. Therefore, if it
can be shown that a statement is not true, it must
be false.
 If valid reasoning leads to a false conclusion, one
of the premises must be false.
SC/NATS 1730, VII 16
Syllogisms
 The key component of Aristotelian logic is
the syllogism.
 Typical format:
 Major premise – a general truth, or observation
 Minor premise – a particular fact, or specific
observation
 Conclusion – an inference implied by the two
premises together
SC/NATS 1730, VII 17
Syllogisms, 2
 The classic example of the syllogism:
 Major premise: All men are mortal.
 Minor premise: Socrates is a man.
 Conclusion: Socrates is mortal.
 In other words, what applies to all members
of a group applies to each and every
member.
SC/NATS 1730, VII 18
Syllogisms and Logic
 Aristotle worked out the forms of valid
reasoning from premises.
 The principle is to combine known truths
and deduce new knowledge that must be
true if the premises are true.
 The method is sound.
SC/NATS 1730, VII 19
However…
 The conclusions from syllogistic reasoning
must be true only if the premises are true.
 Very often, Aristotle reasoned correctly
from faulty generalizations and produced
impressively argued, but nevertheless
false, conclusions.
 As Plato noted, the senses can deceive.
SC/NATS 1730, VII 20
The Four Causes
 A cause for Aristotle is a factor that partly
determines a result.
 Aristotle identified four causes as the
explanation for anything (or event) that is.
 How and why something came to be is
understood by examining its four causes.
SC/NATS 1730, VII 21
The Four Causes, 2
 The causes are:
 The Material Cause – basically the stuff out of
which anything is made.
 The Formal Cause – the form, size, and shape
of the thing.
 The Efficient Cause – what put the material into
the form it is in.
 The Final Cause – the purpose of the thing.
SC/NATS 1730, VII 22
The Four Causes, 3
 An example: The causes of a knife.
 Material: The metal, e.g. iron, steel.
 Formal: The shape of a knife – sharp edge, long
shaft, pointed end, rounded handle, etc.
 Efficient: The tool maker that fashioned it.
 Final: To cut or slice.
SC/NATS 1730, VII 23
The Four Causes, 4
 Man-made things are easy enough to
classify, but natural objects become more
difficult.
 What is the efficient cause of a tree?
 What is the final cause of a rain shower? Or a
human being?
 What is the material cause of a thunderclap?
 The formal cause of sunlight?
SC/NATS 1730, VII 24
The Four Causes, 5
 For Aristotle, the most important cause was
the final cause, that for which the thing
exists. Anything is explained only by
understanding its purpose.
 Examples: a chair, a blackboard, a piece of
chalk, a shoe.
 Or, a planet, a drought, a mountain, a leopard.
SC/NATS 1730, VII 25
Aristotle’s logical analysis applied
 From the logical tools developed by
Aristotle, and the careful observations
made and generalized, Aristotle built a
complete system that explained the world
as it is.
 His system shows the power of reasoning
and the dangers of premature
generalizations.
SC/NATS 1730, VII 26
Aristotle’s Cosmos
 Classification: There are two different parts
of the world.
 There is the world all around, where things come
and go; are born, live, and die; and motions start
and stop.
 There is the world up in the sky, where things
happen over and over again: the sun rises and
sets, the seasons reoccur, the planets repeat
cycles.
SC/NATS 1730, VII 27
The Sub-Lunar World
 The world around us includes the Earth
itself, the seas, the atmosphere, and of
course fire.
 It extends up to the moon, the first
heavenly body.
SC/NATS 1730, VII 28
Generation and Corruption
 The Sublunar world is the world of life.
 Everything in it came into being, had a
period of existence, and died.
 Even motions started and stopped.
 Even objects that did not appear to have a
life span were subject to this process:
 Rocks, mountains, etc., came into being and
passed away, though over very long periods.
SC/NATS 1730, VII 29
The Material of the Sublunar World
 Aristotle accepted the popular four
elements of Empedocles as the material of
the sublunar world:
 Earth, Air, Fire, Water.
 Everything in the sublunar world is made
up of these elements, in different
combinations.
SC/NATS 1730, VII 30
Natural Place
 The elements all have a natural place in the
sublunar world
 Earth and water are “heavy” and so their
natural place is at the centre of the world.
 Fire and air are “light” and their natural
place is at the outer edge of the sublunar
world.
 Note: “Light” does not mean “less heavy.”
SC/NATS 1730, VII 31
Natural Motion
 When unobstructed, the elements strive to
reach their natural place. This is called
natural motion, and requires no further
explanation.
 Earth is heavier than water, so it will push
past water seeking the centre.
 Fire is lighter than air, so it pushes further
outward.
SC/NATS 1730, VII 32
The Sublunar World
SC/NATS 1730, VII 33
Forced Motion
 Objects on Earth are not always in their
natural place, nor do they only have natural
motion.
 They may be forced to move unnaturally,
by, for example, being pushed or pulled.
 Or an object may be prevented from going
to its natural place by being held back.
SC/NATS 1730, VII 34
Everyday Forced Motions
 A heavy object may be pulled or pushed to
a new location.
 When it is no longer being forced, it stops.
 If it is pushed off a cliff, it will resume its natural
motion downward, seeking its natural place.
 A light object, e.g. a vessel containing air,
may be pushed under water
 If released will assume its natural motion upward.
SC/NATS 1730, VII 35
The Problem with Logic
 Aristotle’s view of the world is complete and
consistent. It is based on direct
observation, and logical analysis.
 When something cannot be observed (e.g.
a cause), Aristotle endeavours to discover
what it must be, by reasoning from what he
has already determined.
SC/NATS 1730, VII 36
Not so obvious forced motions
 The weakness of Aristotle’s view of the
cosmos is revealed most clearly in his
analysis of forced motions.
 Aristotle believed that an object would only
move unnaturally, if it was pushed or pulled
– i.e. was in direct contact with the cause of
motion.
SC/NATS 1730, VII 37
What about something thrown or shot?
 Consider a rock being hurled, or an arrow
shot from a bow.
 The motion of the object fits Aristotle’s
analysis, only so long as it is in contact with
the cause of motion – the throwing arm or
the bowstring.
SC/NATS 1730, VII 38
Why does the object move through the
air?
 According to Aristotle, the object resumes
its natural motion (i.e. straight down) as
soon as it is no longer in contact with
whatever was forcing it.
 But this is obviously not so; it keeps going.
SC/NATS 1730, VII 39
Aristotle’s Answer:
 Since the world is full (no empty spaces
anywhere), a rock or arrow flying through
the air must be pushing the air out of the
way as it flies.
 That air has to go somewhere. It goes
behind the moving object and continues to
push it forward.
SC/NATS 1730, VII 40
Antiperistasis
 This is the principle of antiperistasis – “against
remaining in the same place.”
SC/NATS 1730, VII 41
The weakest point in Aristotle’s
physics
 Aristotle’s antiperistasis argument was the
most obviously contrived explanation in his
physics.
 It attracted the attention of later
philosophers almost immediately as a
problem.
SC/NATS 1730, VII 42
The Super-Lunar World
 The heavens were obviously different.
 Motions there repeated over and over
again.
 Generation and corruption did not apply.
 Heavenly objects seemed to always be there.
 What needed explaining were the cycles.
SC/NATS 1730, VII 43
Natural Motion in the Super-Lunar
World
 In the sublunar world, objects moved to
their natural place (and then stopped).
 In the superlunar world, they cycled.
 Therefore natural motion in the superlunar
world must be circular.
 The circle moves, but stays in the same place.
SC/NATS 1730, VII 44
The Material of the Super-Lunar
World
 The materials of the sublunar world have
built in tendencies to go to their natural
places.
 Therefore the material of the superlunar
world must be different.
SC/NATS 1730, VII 45
The Quintessence
 There are no forced motions or contrary
tendencies in the heavens, so there is only
one material there.
 It is an additional and different element.
 Aristotle called it the “Fifth Element.”
 In Latin, that is the Quintessence.
SC/NATS 1730, VII 46
The Crystalline Element
 The heavens must be full (no empty
space), but they look like they are empty.
 Solution: The fifth element must be
invisible, like glass, except for the few bits
that show up, the planets and the stars.
SC/NATS 1730, VII 47
The Problem of the Planets, again
 All the natural motions of the fifth element
are circular.
 Since there are no forced motions,
everything in the heavens must be moving
in combinations of circular motions.
SC/NATS 1730, VII 48
Eudoxian Spheres
 Aristotle adopted the scheme of Eudoxus
with spherical shells nested inside each
other, all turning different ways.
 But with a difference:
 Eudoxus was happy to describe the motions
geometrically.
 Aristotle required a cause of motion.
SC/NATS 1730, VII 49
Solution: More spheres
 Eudoxus thought 27 spheres were enough
to account for the motions of the celestial
sphere and the seven planets (which
include the sun and moon). But their
motions were independent.
 Aristotle required that motion be
communicated from one to another.
 He needed 55 spheres in total.
SC/NATS 1730, VII 50
The Unmoved Mover
 The ultimate cause of motion in the
universe is what turns the celestial sphere.
 The celestial sphere rubs up against the
spheres of Saturn, which rub up against
Jupiter, etc.
 That ultimate cause is the Unmoved Mover.
SC/NATS 1730, VII 51
The
Aristotelian
Cosmos
An illustration from
an edition of
Aristotle’s On the
Heavens, published
in 1519.
SC/NATS 1730, VII 52
A Philosophy for 2000 Years
 Aristotle’s scheme provided a logically
consistent explanation for the motions of
the heavens and life on Earth.
 It combined most of the preconceptions of
his time into a grand system.
 His view remained the standard conception
for nearly 2000 years.

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Greek Philosophers

  • 2. SC/NATS 1730, VII 2 Aristotle  384 - 322 BCE  Born in Stagira, in Thrace, near Macedonia.  The “Stagirite.”  Son of Nichomacus, prominent physician.  Aristotle was likely trained in medicine.
  • 3. SC/NATS 1730, VII 3 Plato’s Student  At age 17, Aristotle was sent to study with Plato at the Academy.  He became Plato’s most important student, remaining at the Academy 20 years, until Plato’s death.
  • 4. SC/NATS 1730, VII 4 Aristotle becomes a royal tutor.  When Aristotle left the Academy in 347, he settled briefly on islands near the Ionian coast, then accepted an invitation to teach the son of the Macedonian king, Philip II, whose father had been attended by Aristotle’s own father.
  • 5. SC/NATS 1730, VII 5 Alexander the Great  Aristotle tutored Phillip’s son, Alexander, for 5 years until Phillip died and Alexander assumed the throne.  Alexander went on to conquer much of the nearby world.
  • 6. SC/NATS 1730, VII 6 The Lyceum  In 335 BCE, Aristotle returned to Athens and established his own school, in competition with the Academy.  Named the Lyceum, as it was adjacent to the temple to the god Apollo Lykaios.  Morning serious lectures  Evening public lectures  Inclusive curriculum  Classification approach  Aristotle associated with Alexander  After Alexander's death in 323, Aristotle fled Athens to prevent “a second sin against philosophy.”
  • 7. SC/NATS 1730, VII 7 Aristotle’s works  What we have as Aristotle’s works are about 30 closely written, terse, treatises on a full range of philosophical and scientific topics.  These may have been his morning lectures, or even student’s notes on those lectures.
  • 8. SC/NATS 1730, VII 8 …versus Plato’s works  In contrast, Plato’s surviving works consist of about 20 dramatic dialogues that discuss philosophical issues in a Socratic, dialectical, questioning manner.  Aristotle may have written such works as well, but they have not survived.
  • 9. SC/NATS 1730, VII 9 The foundation of western philosophy – and science  Aristotle’s works – more than Plato’s – laid the groundwork for the systematic development of philosophy and the basic framework for the understanding of nature.  Logic, empirical evidence, systematic explanation.  Sound methodology, wrong conclusions.
  • 10. SC/NATS 1730, VII 10 The benchmark for the understanding of nature  The standard view of the world for 2,000 years.  To understand the development of science it is necessary first to grasp Aristotle’s methods and his conclusions about nature.
  • 11. SC/NATS 1730, VII 11 Empiricism  First, Aristotle grounds all knowledge on experience.  This is unlike Plato for whom knowledge came only when the philosopher escaped from the world of sense perception, which could mislead.  Reality, for Aristotle, was the world around us, not the objects of the mind, which could be just fantasy.
  • 12. SC/NATS 1730, VII 12 Aristotle, the biologist  Students at the Lyceum collected specimens, dissected, and classified them.  Analysis of life forms arose from examination of many real examples.  Similarly every subject was examined and classified.
  • 13. SC/NATS 1730, VII 13 Contrasting World Views A basic division in how the world is understood:  Plato – (pointing up) true knowledge comes from contemplating the abstract ideas.  Aristotle – (pointing down) true knowledge comes from close examination of the world around. Plato and Aristotle from Raphael’s School of Athens.
  • 14. SC/NATS 1730, VII 14 Contrasting World Views, 2 The ideal form, an example:  For Plato, a geometric object, e.g. a triangle, circle, cube, etc.  The true object exists only in the mind. Actual representations are only approximate.  For Aristotle, an animal or plant species, e.g. roses, trout, human beings, etc.  The species is what all the instances of it have in common.
  • 15. SC/NATS 1730, VII 15 Logic  The way to knowledge beyond what is presented to the senses.  Based upon Parmenides’ principle of the excluded middle.  A statement is either true or false. Therefore, if it can be shown that a statement is not true, it must be false.  If valid reasoning leads to a false conclusion, one of the premises must be false.
  • 16. SC/NATS 1730, VII 16 Syllogisms  The key component of Aristotelian logic is the syllogism.  Typical format:  Major premise – a general truth, or observation  Minor premise – a particular fact, or specific observation  Conclusion – an inference implied by the two premises together
  • 17. SC/NATS 1730, VII 17 Syllogisms, 2  The classic example of the syllogism:  Major premise: All men are mortal.  Minor premise: Socrates is a man.  Conclusion: Socrates is mortal.  In other words, what applies to all members of a group applies to each and every member.
  • 18. SC/NATS 1730, VII 18 Syllogisms and Logic  Aristotle worked out the forms of valid reasoning from premises.  The principle is to combine known truths and deduce new knowledge that must be true if the premises are true.  The method is sound.
  • 19. SC/NATS 1730, VII 19 However…  The conclusions from syllogistic reasoning must be true only if the premises are true.  Very often, Aristotle reasoned correctly from faulty generalizations and produced impressively argued, but nevertheless false, conclusions.  As Plato noted, the senses can deceive.
  • 20. SC/NATS 1730, VII 20 The Four Causes  A cause for Aristotle is a factor that partly determines a result.  Aristotle identified four causes as the explanation for anything (or event) that is.  How and why something came to be is understood by examining its four causes.
  • 21. SC/NATS 1730, VII 21 The Four Causes, 2  The causes are:  The Material Cause – basically the stuff out of which anything is made.  The Formal Cause – the form, size, and shape of the thing.  The Efficient Cause – what put the material into the form it is in.  The Final Cause – the purpose of the thing.
  • 22. SC/NATS 1730, VII 22 The Four Causes, 3  An example: The causes of a knife.  Material: The metal, e.g. iron, steel.  Formal: The shape of a knife – sharp edge, long shaft, pointed end, rounded handle, etc.  Efficient: The tool maker that fashioned it.  Final: To cut or slice.
  • 23. SC/NATS 1730, VII 23 The Four Causes, 4  Man-made things are easy enough to classify, but natural objects become more difficult.  What is the efficient cause of a tree?  What is the final cause of a rain shower? Or a human being?  What is the material cause of a thunderclap?  The formal cause of sunlight?
  • 24. SC/NATS 1730, VII 24 The Four Causes, 5  For Aristotle, the most important cause was the final cause, that for which the thing exists. Anything is explained only by understanding its purpose.  Examples: a chair, a blackboard, a piece of chalk, a shoe.  Or, a planet, a drought, a mountain, a leopard.
  • 25. SC/NATS 1730, VII 25 Aristotle’s logical analysis applied  From the logical tools developed by Aristotle, and the careful observations made and generalized, Aristotle built a complete system that explained the world as it is.  His system shows the power of reasoning and the dangers of premature generalizations.
  • 26. SC/NATS 1730, VII 26 Aristotle’s Cosmos  Classification: There are two different parts of the world.  There is the world all around, where things come and go; are born, live, and die; and motions start and stop.  There is the world up in the sky, where things happen over and over again: the sun rises and sets, the seasons reoccur, the planets repeat cycles.
  • 27. SC/NATS 1730, VII 27 The Sub-Lunar World  The world around us includes the Earth itself, the seas, the atmosphere, and of course fire.  It extends up to the moon, the first heavenly body.
  • 28. SC/NATS 1730, VII 28 Generation and Corruption  The Sublunar world is the world of life.  Everything in it came into being, had a period of existence, and died.  Even motions started and stopped.  Even objects that did not appear to have a life span were subject to this process:  Rocks, mountains, etc., came into being and passed away, though over very long periods.
  • 29. SC/NATS 1730, VII 29 The Material of the Sublunar World  Aristotle accepted the popular four elements of Empedocles as the material of the sublunar world:  Earth, Air, Fire, Water.  Everything in the sublunar world is made up of these elements, in different combinations.
  • 30. SC/NATS 1730, VII 30 Natural Place  The elements all have a natural place in the sublunar world  Earth and water are “heavy” and so their natural place is at the centre of the world.  Fire and air are “light” and their natural place is at the outer edge of the sublunar world.  Note: “Light” does not mean “less heavy.”
  • 31. SC/NATS 1730, VII 31 Natural Motion  When unobstructed, the elements strive to reach their natural place. This is called natural motion, and requires no further explanation.  Earth is heavier than water, so it will push past water seeking the centre.  Fire is lighter than air, so it pushes further outward.
  • 32. SC/NATS 1730, VII 32 The Sublunar World
  • 33. SC/NATS 1730, VII 33 Forced Motion  Objects on Earth are not always in their natural place, nor do they only have natural motion.  They may be forced to move unnaturally, by, for example, being pushed or pulled.  Or an object may be prevented from going to its natural place by being held back.
  • 34. SC/NATS 1730, VII 34 Everyday Forced Motions  A heavy object may be pulled or pushed to a new location.  When it is no longer being forced, it stops.  If it is pushed off a cliff, it will resume its natural motion downward, seeking its natural place.  A light object, e.g. a vessel containing air, may be pushed under water  If released will assume its natural motion upward.
  • 35. SC/NATS 1730, VII 35 The Problem with Logic  Aristotle’s view of the world is complete and consistent. It is based on direct observation, and logical analysis.  When something cannot be observed (e.g. a cause), Aristotle endeavours to discover what it must be, by reasoning from what he has already determined.
  • 36. SC/NATS 1730, VII 36 Not so obvious forced motions  The weakness of Aristotle’s view of the cosmos is revealed most clearly in his analysis of forced motions.  Aristotle believed that an object would only move unnaturally, if it was pushed or pulled – i.e. was in direct contact with the cause of motion.
  • 37. SC/NATS 1730, VII 37 What about something thrown or shot?  Consider a rock being hurled, or an arrow shot from a bow.  The motion of the object fits Aristotle’s analysis, only so long as it is in contact with the cause of motion – the throwing arm or the bowstring.
  • 38. SC/NATS 1730, VII 38 Why does the object move through the air?  According to Aristotle, the object resumes its natural motion (i.e. straight down) as soon as it is no longer in contact with whatever was forcing it.  But this is obviously not so; it keeps going.
  • 39. SC/NATS 1730, VII 39 Aristotle’s Answer:  Since the world is full (no empty spaces anywhere), a rock or arrow flying through the air must be pushing the air out of the way as it flies.  That air has to go somewhere. It goes behind the moving object and continues to push it forward.
  • 40. SC/NATS 1730, VII 40 Antiperistasis  This is the principle of antiperistasis – “against remaining in the same place.”
  • 41. SC/NATS 1730, VII 41 The weakest point in Aristotle’s physics  Aristotle’s antiperistasis argument was the most obviously contrived explanation in his physics.  It attracted the attention of later philosophers almost immediately as a problem.
  • 42. SC/NATS 1730, VII 42 The Super-Lunar World  The heavens were obviously different.  Motions there repeated over and over again.  Generation and corruption did not apply.  Heavenly objects seemed to always be there.  What needed explaining were the cycles.
  • 43. SC/NATS 1730, VII 43 Natural Motion in the Super-Lunar World  In the sublunar world, objects moved to their natural place (and then stopped).  In the superlunar world, they cycled.  Therefore natural motion in the superlunar world must be circular.  The circle moves, but stays in the same place.
  • 44. SC/NATS 1730, VII 44 The Material of the Super-Lunar World  The materials of the sublunar world have built in tendencies to go to their natural places.  Therefore the material of the superlunar world must be different.
  • 45. SC/NATS 1730, VII 45 The Quintessence  There are no forced motions or contrary tendencies in the heavens, so there is only one material there.  It is an additional and different element.  Aristotle called it the “Fifth Element.”  In Latin, that is the Quintessence.
  • 46. SC/NATS 1730, VII 46 The Crystalline Element  The heavens must be full (no empty space), but they look like they are empty.  Solution: The fifth element must be invisible, like glass, except for the few bits that show up, the planets and the stars.
  • 47. SC/NATS 1730, VII 47 The Problem of the Planets, again  All the natural motions of the fifth element are circular.  Since there are no forced motions, everything in the heavens must be moving in combinations of circular motions.
  • 48. SC/NATS 1730, VII 48 Eudoxian Spheres  Aristotle adopted the scheme of Eudoxus with spherical shells nested inside each other, all turning different ways.  But with a difference:  Eudoxus was happy to describe the motions geometrically.  Aristotle required a cause of motion.
  • 49. SC/NATS 1730, VII 49 Solution: More spheres  Eudoxus thought 27 spheres were enough to account for the motions of the celestial sphere and the seven planets (which include the sun and moon). But their motions were independent.  Aristotle required that motion be communicated from one to another.  He needed 55 spheres in total.
  • 50. SC/NATS 1730, VII 50 The Unmoved Mover  The ultimate cause of motion in the universe is what turns the celestial sphere.  The celestial sphere rubs up against the spheres of Saturn, which rub up against Jupiter, etc.  That ultimate cause is the Unmoved Mover.
  • 51. SC/NATS 1730, VII 51 The Aristotelian Cosmos An illustration from an edition of Aristotle’s On the Heavens, published in 1519.
  • 52. SC/NATS 1730, VII 52 A Philosophy for 2000 Years  Aristotle’s scheme provided a logically consistent explanation for the motions of the heavens and life on Earth.  It combined most of the preconceptions of his time into a grand system.  His view remained the standard conception for nearly 2000 years.