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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

Universal Arithmetick


p.407

17783

A number is not a multitude, but a unified ratio between quantities

1687

Principia Mathematica


p.12

6421

Newton's four fundamentals are: space, time, matter and force [Russell]


p.26

15866

Newton reclassified vertical motion as violent, and unconstrained horizontal motion as natural [Harré]


p.38

13470

Mass is central to matter [Hart,WD]


p.57

15958

Inertia rejects the Aristotelian idea of things having natural states, to which they return [Alexander,P]


p.82

17546

If you changed one of Newton's concepts you would destroy his whole system [Heisenberg]


p.83

17547

Newton's idea of force acting over a long distance was very strange


p.106

17008

You have discovered that elliptical orbits result just from gravitation and planetary movement [Leibniz]


p.125

13593

Newton showed that falling to earth and orbiting the sun are essentially the same [Ellis]


p.232

18079

Newton developed a kinematic approach to geometry [Kitcher]


p.237

20966

Newton introduced forces other than by contact [Papineau]


p.238

20967

Newton's laws cover the effects of forces, but not their causes [Papineau]


p.239

20969

Early Newtonians could not formulate conservation of energy, having no concept of potential energy [Papineau]


p.239

20968

Newton's Third Law implies the conservation of momentum [Papineau]


p.426

16708

Newton's forces were accused of being the scholastics' real qualities [Pasnau]

Pref

p.41

17011

I suspect that each particle of bodies has attractive or repelling forces

Preface

p.41

17010

We have given up substantial forms, and now aim for mathematical laws

1.1.11 Sch

p.86

13153

I am studying the quantities and mathematics of forces, not their species or qualities

1.II.Schol

p.86

17020

An attraction of a body is the sum of the forces of their particles

Axioms

p.70

17017

1: Bodies rest, or move in straight lines, unless acted on by forces

Axioms

p.71

17019

3: All actions of bodies have an equal and opposite reaction

Axioms

p.71

17018

2: Change of motion is proportional to the force

Bk 3 Gen Schol

p.90

17025

If a perfect being does not rule the cosmos, it is not God

Bk 3 Gen Schol

p.90

17024

The elegance of the solar system requires a powerful intellect as designer

Bk 3 Gen Schol

p.92

17026

From the phenomena, I can't deduce the reason for the properties of gravity

Bk 3 Gen Schol

p.92

17027

Science deduces propositions from phenomena, and generalises them by induction

Bk 3 Gen Schol

p.93

17028

Particles mutually attract, and cohere at short distances

Bk 3 Rule 1

p.87

17022

We should admit only enough causes to explain a phenomenon, and no more

Bk 3 Rule 2

p.87

17021

Natural effects of the same kind should be assumed to have the same causes

Bk 3 Rule 3

p.88

17023

I am not saying gravity is essential to bodies

Def 8 Schol

p.64

17013

Absolute space is independent, homogeneous and immovable

Def 8 Schol

p.64

17012

Time exists independently, and flows uniformly

Def 8 Schol

p.65

17014

The place of a thing is the sum of the places of its parts

Def 8 Schol

p.66

17016

Philosophy must abstract from the senses

Def 8 Schol

p.66

17015

If there is no uniform motion, we cannot exactly measure time

I:Schol after defs

p.145

14012

Absolute time, from its own nature, flows equably, without relation to anything external

Lemma 1

p.238

18082

Quantities and ratios which continually converge will eventually become equal

Pref 1st ed

p.173

12724

The aim is to discover forces from motions, and use forces to demonstrate other phenomena

1692.12.10

p.94

15863

The principles of my treatise are designed to fit with a belief in God

1692.12.10

p.95

13150

The motions of the planets could only derive from an intelligent agent

1693.01.17

p.99

13151

Not all infinites are equal

1693.01.17

p.100

8340

I do not pretend to know the cause of gravity

1693.02.25

p.102

12178

That gravity should be innate and essential to matter is absurd

1693.02.25

p.103

13152

We can talk of 'innumerable number', about the infinite points on a line

1693

Letters to Leibniz 1

1693.10.16

p.109

17009

I won't object if someone shows that gravity consistently arises from the action of matter

1721

Queries to the 'Opticks'

q 31

p.544

16746

Principles of things are not hidden features of forms, but the laws by which they were formed
