Combining Texts

All the ideas for 'fragments/reports', 'Principia Mathematica' and 'Letter to Herodotus'

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68 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If we are to use words in enquiry, we need their main, unambiguous and uncontested meanings [Epicurus]
3. Truth / A. Truth Problems / 8. Subjective Truth
Observation and applied thought are always true [Epicurus]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Newton developed a kinematic approach to geometry [Newton, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Quantities and ratios which continually converge will eventually become equal [Newton]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Nothing comes to be from what doesn't exist [Epicurus]
If disappearing things went to nothingness, nothing could return, and it would all be gone by now [Epicurus]
7. Existence / B. Change in Existence / 1. Nature of Change
The totality is complete, so there is no room for it to change, and nothing extraneous to change it [Epicurus]
7. Existence / D. Theories of Reality / 6. Physicalism
Astronomical movements are blessed, but they don't need the help of the gods [Epicurus]
8. Modes of Existence / B. Properties / 8. Properties as Modes
The perceived accidental properties of bodies cannot be conceived of as independent natures [Epicurus]
Accidental properties give a body its nature, but are not themselves bodies or parts of bodies [Epicurus]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
I suspect that each particle of bodies has attractive or repelling forces [Newton]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A 'body' is a conception of an aggregate, with properties defined by application conditions [Epicurus]
Particles mutually attract, and cohere at short distances [Newton]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
The place of a thing is the sum of the places of its parts [Newton]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Bodies have impermanent properties, and permanent ones which define its conceived nature [Epicurus]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Above and below us will never appear to be the same, because it is inconceivable [Epicurus]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
We aim to dissolve our fears, by understanding their causes [Epicurus]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Atoms only have shape, weight and size, and the properties which accompany shape [Epicurus]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Illusions are not false perceptions, as we accurately perceive the pattern of atoms [Epicurus, by Modrak]
14. Science / B. Scientific Theories / 6. Theory Holism
If you changed one of Newton's concepts you would destroy his whole system [Heisenberg on Newton]
14. Science / C. Induction / 1. Induction
Science deduces propositions from phenomena, and generalises them by induction [Newton]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
We should admit only enough causes to explain a phenomenon, and no more [Newton]
Natural effects of the same kind should be assumed to have the same causes [Newton]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
From the phenomena, I can't deduce the reason for the properties of gravity [Newton]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
The soul is fine parts distributed through the body, resembling hot breath [Epicurus]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The soul cannot be incorporeal, because then it could neither act nor be acted upon [Epicurus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Virtue comes more from habit than character [Critias]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Totality has no edge; an edge implies a contrast beyond the edge, and there can't be one [Epicurus]
Bodies are unlimited as well as void, since the two necessarily go together [Epicurus]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Newton's four fundamentals are: space, time, matter and force [Newton, by Russell]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
There exists an infinity of each shape of atom, but the number of shapes is beyond our knowledge [Epicurus]
Atoms just have shape, size and weight; colour results from their arrangement [Epicurus]
There cannot be unlimited division, because it would reduce things to non-existence [Epicurus]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Mass is central to matter [Newton, by Hart,WD]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
An attraction of a body is the sum of the forces of their particles [Newton]
26. Natural Theory / C. Causation / 1. Causation
Newtonian causation is changes of motion resulting from collisions [Newton, by Baron/Miller]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
You have discovered that elliptical orbits result just from gravitation and planetary movement [Newton, by Leibniz]
We have given up substantial forms, and now aim for mathematical laws [Newton]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
We aim to know the natures which are observed in natural phenomena [Epicurus]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
I am not saying gravity is essential to bodies [Newton]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Newton reclassified vertical motion as violent, and unconstrained horizontal motion as natural [Newton, by Harré]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Inertia rejects the Aristotelian idea of things having natural states, to which they return [Newton, by Alexander,P]
1: Bodies rest, or move in straight lines, unless acted on by forces [Newton]
2: Change of motion is proportional to the force [Newton]
Newton's Third Law implies the conservation of momentum [Newton, by Papineau]
3: All actions of bodies have an equal and opposite reaction [Newton]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Newton's idea of force acting over a long distance was very strange [Heisenberg on Newton]
Newton introduced forces other than by contact [Newton, by Papineau]
Newton's laws cover the effects of forces, but not their causes [Newton, by Papineau]
Newton's forces were accused of being the scholastics' real qualities [Pasnau on Newton]
I am studying the quantities and mathematics of forces, not their species or qualities [Newton]
The aim is to discover forces from motions, and use forces to demonstrate other phenomena [Newton]
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Newton showed that falling to earth and orbiting the sun are essentially the same [Newton, by Ellis]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
Early Newtonians could not formulate conservation of energy, having no concept of potential energy [Newton, by Papineau]
27. Natural Reality / C. Space / 1. Void
The void cannot interact, but just gives the possibility of motion [Epicurus]
27. Natural Reality / C. Space / 4. Substantival Space
Space must exist, since movement is obvious, and there must be somewhere to move in [Epicurus]
Absolute space is independent, homogeneous and immovable [Newton]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Newton needs intervals of time, to define velocity and acceleration [Newton, by Le Poidevin]
Newton thought his laws of motion needed absolute time [Newton, by Bardon]
Time exists independently, and flows uniformly [Newton]
Absolute time, from its own nature, flows equably, without relation to anything external [Newton]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Newtonian mechanics does not distinguish negative from positive values of time [Newton, by Coveney/Highfield]
27. Natural Reality / D. Time / 3. Parts of Time / d. Measuring time
If there is no uniform motion, we cannot exactly measure time [Newton]
27. Natural Reality / E. Cosmology / 10. Multiverse
There are endless cosmoi, some like and some unlike this one [Epicurus]
28. God / A. Divine Nature / 3. Divine Perfections
If a perfect being does not rule the cosmos, it is not God [Newton]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The elegance of the solar system requires a powerful intellect as designer [Newton]
28. God / C. Attitudes to God / 5. Atheism
Fear of the gods was invented to discourage secret sin [Critias]