Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Principia Mathematica' and 'Categories'

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83 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Without extensive examination firm statements are hard, but studying the difficulties is profitable [Aristotle]
2. Reason / B. Laws of Thought / 4. Contraries
The contrary of good is bad, but the contrary of bad is either good or another evil [Aristotle]
Both sides of contraries need not exist (as health without sickness, white without black) [Aristotle]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The differentiae of genera which are different are themselves different in kind [Aristotle]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A true existence statement has its truth caused by the existence of the thing [Aristotle]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Newton developed a kinematic approach to geometry [Newton, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One is prior to two, because its existence is implied by two [Aristotle]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Parts of a line join at a point, so it is continuous [Aristotle]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Quantities and ratios which continually converge will eventually become equal [Newton]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Primary being must be more than mere indeterminate ultimate subject of predication [Politis on Aristotle]
7. Existence / B. Change in Existence / 1. Nature of Change
There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place [Aristotle]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
A thing is prior to another if it implies its existence [Aristotle]
Of interdependent things, the prior one causes the other's existence [Aristotle]
7. Existence / E. Categories / 3. Proposed Categories
The categories (substance, quality, quantity, relation, action, passion, place, time) peter out inconsequentially [Benardete,JA on Aristotle]
There are ten basic categories for thinking about things [Aristotle]
Substance,Quantity,Quality,Relation,Place,Time,Being-in-a-position,Having,Doing,Being affected [Aristotle, by Westerhoff]
7. Existence / E. Categories / 4. Category Realism
Aristotle derived categories as answers to basic questions about nature, size, quality, location etc. [Aristotle, by Gill,ML]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Aristotle said relations are not substances, so (if they exist) they must be accidents [Aristotle, by Heil]
8. Modes of Existence / B. Properties / 2. Need for Properties
Aristotle promoted the importance of properties and objects (rather than general and particular) [Aristotle, by Frede,M]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Some things said 'of' a subject are not 'in' the subject [Aristotle]
We call them secondary 'substances' because they reveal the primary substances [Aristotle]
8. Modes of Existence / B. Properties / 9. Qualities
Four species of quality: states, capacities, affects, and forms [Aristotle, by Pasnau]
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 / 3. Instantiated Universals
Colour must be in an individual body, or it is not embodied [Aristotle]
9. Objects / A. Existence of Objects / 1. Physical Objects
Aristotle gave up his earlier notion of individuals, because it relied on universals [Aristotle, by Frede,M]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Particles mutually attract, and cohere at short distances [Newton]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances have no opposites, and don't come in degrees (including if the substance is a man) [Aristotle]
Is primary substance just an ultimate subject, or some aspect of a complex body? [Aristotle, by Gill,ML]
Primary being is 'that which lies under', or 'particular substance' [Aristotle, by Politis]
A single substance can receive contrary properties [Aristotle]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Secondary substances do have subjects, so they are not ultimate in the ontology [Aristotle, by Frede,M]
In earlier Aristotle the substances were particulars, not kinds [Aristotle, by Lawson-Tancred]
A 'primary' substance is in each subject, with species or genera as 'secondary' substances [Aristotle]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Earlier Aristotle had objects as primary substances, but later he switched to substantial form [Aristotle, by Lowe]
Things are called 'substances' because they are subjects for everything else [Aristotle]
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 / 3. Individual Essences
A primary substance reveals a 'this', which is an individual unit [Aristotle]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Primary substances are ontological in 'Categories', and explanatory in 'Metaphysics' [Aristotle, by Wedin]
9. Objects / F. Identity among Objects / 5. Self-Identity
Aristotle denigrates the category of relation, but for modern absolutists self-relation is basic [Benardete,JA on Aristotle]
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]
19. Language / C. Assigning Meanings / 3. Predicates
Only what can be said of many things is a predicable [Aristotle, by Wedin]
Some predicates signify qualification of a substance, others the substance itself [Aristotle]
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 / 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 / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
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 / b. Scientific necessity
It is not possible for fire to be cold or snow black [Aristotle]
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]
3: All actions of bodies have an equal and opposite reaction [Newton]
Newton's Third Law implies the conservation of momentum [Newton, by Papineau]
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 / A. Classical Physics / 2. Thermodynamics / d. Entropy
Change goes from possession to loss (as in baldness), but not the other way round [Aristotle]
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 / 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]
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]