Combining Texts

All the ideas for 'Timaeus', 'Letter to G.H. Schaller' and 'Principia Mathematica'

expand these ideas     |    start again     |     specify just one area for these texts


68 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
For relaxation one can consider the world of change, instead of eternal things [Plato]
Philosophy must abstract from the senses [Newton]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is the supreme gift of the gods to mortals [Plato]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Nothing can come to be without a cause [Plato]
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 / 3. Being / c. Becoming
Before the existence of the world there must have been being, space and becoming [Plato]
The apprehensions of reason remain unchanging, but reasonless sensation shows mere becoming [Plato]
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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Plato's Forms were seen as part of physics, rather than of metaphysics [Plato, by Annas]
Something will always be well-made if the maker keeps in mind the eternal underlying pattern [Plato]
In addition to the underlying unchanging model and a changing copy of it, there must also be a foundation of all change [Plato]
For knowledge and true opinion to be different there must be Forms; otherwise we are just stuck with sensations [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
The universe is basically an intelligible and unchanging model, and a visible and changing copy of it [Plato]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
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]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Only bird-brained people think astronomy is entirely a matter of evidence [Plato]
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
Plato says the soul is ordered by number [Plato, by Plutarch]
16. Persons / F. Free Will / 5. Against Free Will
A thing is free if it acts only by the necessity of its own nature [Spinoza]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
No one wants to be bad, but bad men result from physical and educational failures, which they do not want or choose [Plato]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music has harmony like the soul, and serves to reorder disharmony within us [Plato]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
One should exercise both the mind and the body, to avoid imbalance [Plato]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Everything that takes place naturally is pleasant [Plato]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Intelligence is the result of rational teaching; true opinion can result from irrational persuasion [Plato]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Bad governments prevent discussion, and discourage the study of virtue [Plato]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The creator of the cosmos had no envy, and so wanted things to be as like himself as possible [Plato]
The cosmos must be unique, because it resembles the creator, who is unique [Plato]
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
We must consider the four basic shapes as too small to see, only becoming visible in large numbers [Plato]
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
There are two types of cause, the necessary and the divine [Plato]
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 / 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]
Newton's Third Law implies the conservation of momentum [Newton, by Papineau]
1: Bodies rest, or move in straight lines, unless acted on by forces [Newton]
2: Change of motion is proportional to the force [Newton]
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 / 4. Substantival Space
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 / a. Experience of time
Heavenly movements gave us the idea of time, and caused us to inquire about the heavens [Plato]
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 / a. Beginning of time
Time came into existence with the heavens, so that there will be a time when they can be dissolved [Plato]
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 / 1. Cosmology
Clearly the world is good, so its maker must have been concerned with the eternal, not with change [Plato]
27. Natural Reality / E. Cosmology / 3. The Beginning
If the cosmos is an object of perception then it must be continually changing [Plato]
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]