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Ideas of Isaac Newton, by Text
[British, fl. 1687, Born in Lincolnshire. At Trinity College, Cambridge. Published theory of gravity in 1687.]
1669
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Universal Arithmetick
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p.407
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17783
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A number is not a multitude, but a unified ratio between quantities
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1687
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Principia Mathematica
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p.8
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22915
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Newton needs intervals of time, to define velocity and acceleration [Le Poidevin]
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p.12
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6421
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Newton's four fundamentals are: space, time, matter and force [Russell]
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p.26
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15866
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Newton reclassified vertical motion as violent, and unconstrained horizontal motion as natural [Harré]
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p.38
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13470
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Mass is central to matter [Hart,WD]
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p.53
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22893
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Newton thought his laws of motion needed absolute time [Bardon]
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p.54
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22954
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Newtonian mechanics does not distinguish negative from positive values of time [Coveney/Highfield]
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p.57
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15958
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Inertia rejects the Aristotelian idea of things having natural states, to which they return [Alexander,P]
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p.82
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17546
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If you changed one of Newton's concepts you would destroy his whole system [Heisenberg]
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p.83
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17547
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Newton's idea of force acting over a long distance was very strange [Heisenberg]
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p.106
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17008
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You have discovered that elliptical orbits result just from gravitation and planetary movement [Leibniz]
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p.125
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13593
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Newton showed that falling to earth and orbiting the sun are essentially the same [Ellis]
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p.149
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23012
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Newtonian causation is changes of motion resulting from collisions [Baron/Miller]
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p.232
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18079
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Newton developed a kinematic approach to geometry [Kitcher]
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p.237
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20966
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Newton introduced forces other than by contact [Papineau]
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p.238
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20967
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Newton's laws cover the effects of forces, but not their causes [Papineau]
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p.239
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20968
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Newton's Third Law implies the conservation of momentum [Papineau]
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p.239
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20969
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Early Newtonians could not formulate conservation of energy, having no concept of potential energy [Papineau]
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p.426
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16708
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Newton's forces were accused of being the scholastics' real qualities [Pasnau]
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Pref
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p.41
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17011
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I suspect that each particle of bodies has attractive or repelling forces
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Preface
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p.41
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17010
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We have given up substantial forms, and now aim for mathematical laws
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1.1.11 Sch
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p.86
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13153
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I am studying the quantities and mathematics of forces, not their species or qualities
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1.II.Schol
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p.86
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17020
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An attraction of a body is the sum of the forces of their particles
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Axioms
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p.70
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17017
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1: Bodies rest, or move in straight lines, unless acted on by forces
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Axioms
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p.71
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17018
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2: Change of motion is proportional to the force
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Axioms
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p.71
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17019
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3: All actions of bodies have an equal and opposite reaction
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Bk 3 Gen Schol
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p.90
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17025
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If a perfect being does not rule the cosmos, it is not God
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Bk 3 Gen Schol
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p.90
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17024
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The elegance of the solar system requires a powerful intellect as designer
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Bk 3 Gen Schol
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p.92
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17026
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From the phenomena, I can't deduce the reason for the properties of gravity
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Bk 3 Gen Schol
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p.92
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17027
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Science deduces propositions from phenomena, and generalises them by induction
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Bk 3 Gen Schol
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p.93
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17028
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Particles mutually attract, and cohere at short distances
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Bk 3 Rule 1
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p.87
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17022
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We should admit only enough causes to explain a phenomenon, and no more
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Bk 3 Rule 2
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p.87
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17021
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Natural effects of the same kind should be assumed to have the same causes
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Bk 3 Rule 3
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p.88
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17023
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I am not saying gravity is essential to bodies
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Def 8 Schol
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p.64
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17013
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Absolute space is independent, homogeneous and immovable
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Def 8 Schol
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p.64
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17012
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Time exists independently, and flows uniformly
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Def 8 Schol
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p.65
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17014
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The place of a thing is the sum of the places of its parts
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Def 8 Schol
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p.66
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17016
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Philosophy must abstract from the senses
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Def 8 Schol
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p.66
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17015
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If there is no uniform motion, we cannot exactly measure time
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I:Schol after defs
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p.145
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14012
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Absolute time, from its own nature, flows equably, without relation to anything external
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Lemma 1
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p.238
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18082
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Quantities and ratios which continually converge will eventually become equal
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Pref 1st ed
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p.173
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12724
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The aim is to discover forces from motions, and use forces to demonstrate other phenomena
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1692.12.10
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p.94
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15863
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The principles of my treatise are designed to fit with a belief in God
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1692.12.10
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p.95
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13150
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The motions of the planets could only derive from an intelligent agent
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1693.01.17
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p.99
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13151
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Not all infinites are equal
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1693.01.17
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p.100
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8340
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I do not pretend to know the cause of gravity
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1693.02.25
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p.102
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12178
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That gravity should be innate and essential to matter is absurd
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1693.02.25
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p.103
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13152
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We can talk of 'innumerable number', about the infinite points on a line
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1693
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Letters to Leibniz 1
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1693.10.16
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p.109
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17009
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I won't object if someone shows that gravity consistently arises from the action of matter
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1721
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Queries to the 'Opticks'
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q 31
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p.544
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16746
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Principles of things are not hidden features of forms, but the laws by which they were formed
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