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All the ideas for 'Abstract of 'The Fourfold Root'', 'fragments/reports' and 'Principia Mathematica'

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138 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Wise men participate in politics, especially if it shows moral progress [Stoic school, by Stobaeus]
Wise men are never astonished at things which other people take to be wonders [Stoic school, by Diog. Laertius]
1. Philosophy / A. Wisdom / 3. Wisdom Deflated
No wise man has yet been discovered [Stoic school, by Cicero]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy
Stoic physics concerns cosmos, elements and causes (with six detailed divisions) [Stoic school, by Diog. Laertius]
Ethics studies impulse, good, passion, virtue, goals, value, action, appropriateness, encouragement [Stoic school, by Diog. Laertius]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
True philosophising is not memorising ideas, but living by them [Stoic school, by Stobaeus]
1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
Some facts are indispensable for an effect, and others actually necessitate the effect [Stoic school, by Cicero]
2. Reason / A. Nature of Reason / 2. Logos
The Stoics distinguished spoken logos from logos within the mind [Stoic school, by Plotinus]
Stoics study canons, criteria and definitions, in order to find the truth [Stoic school, by Diog. Laertius]
Stoics believed that rational capacity in man (logos) is embodied in the universe [Stoic school, by Long]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectics is mastery of question and answer form [Stoic school, by Diog. Laertius]
3. Truth / A. Truth Problems / 3. Value of Truth
Falsehoods corrupt a mind, producing passions and instability [Stoic school, by Diog. Laertius]
3. Truth / A. Truth Problems / 5. Truth Bearers
The truth bearers are said to be the signified, or the signifier, or the meaning of the signifier [Stoic school, by Sext.Empiricus]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Stoics avoided universals by paraphrasing 'Man is...' as 'If something is a man, then it is...' [Stoic school, by Long]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
The contradictory of a contradictory is an affirmation [Stoic school, by Diog. Laertius]
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 / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
Stoics applied bivalence to sorites situations, so everyone is either vicious or wholly virtuous [Stoic school, by Williamson]
7. Existence / E. Categories / 3. Proposed Categories
Stoics have four primary categories: substrates, qualities, dispositions, relative dispositions [Stoic school, by Simplicius]
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 / d. Forms critiques
Platonic Forms are just our thoughts [Stoic school, by Ps-Plutarch]
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
Stoics say matter has qualities, and substance underlies it, with no form or qualities [Stoic school, by Chalcidius]
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 / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
How is separateness possible, if separated things are always said to be united? [Alexander on Stoic school]
How is divisibility possible, if stoics say things remain united when they are divided? [Alexander on Stoic school]
Stoics say wholes are more than parts, but entirely consist of parts [Stoic school, by Sext.Empiricus]
10. Modality / B. Possibility / 1. Possibility
A proposition is possible if it is true when nothing stops it being true [Stoic school, by Diog. Laertius]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Conditionals are false if the falsehood of the conclusion does not conflict with the antecedent [Stoic school, by Diog. Laertius]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is a secure grasp of presentations which cannot be reversed by argument [Stoic school, by Diog. Laertius]
11. Knowledge Aims / A. Knowledge / 2. Understanding
All understanding is an immediate apprehension of the causal relation [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
Two sorts of opinion: either poorly grounded belief, or weak belief [Stoic school, by Stobaeus]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
There are non-sensible presentations, which come to us through the intellect [Stoic school, by Diog. Laertius]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
Stoics say we are born like a blank sheet of paper; the first concepts on it are sensations [Stoic school, by Ps-Plutarch]
At birth the soul is a blank sheet ready to be written on [Stoic school, by Aetius]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Non-graspable presentations are from what doesn't exist, or are not clear and distinct [Stoic school, by Diog. Laertius]
12. Knowledge Sources / B. Perception / 5. Interpretation
Stoic perception is a presentation to which one voluntarily assents [Stoic school, by Stobaeus]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
All our concepts come from experience, directly, or by expansion, reduction or compounding [Stoic school, by Sext.Empiricus]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Dialectic is a virtue which contains other virtues [Stoic school, by Diog. Laertius]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
For Stoics knowledge is an assertion which never deviates from the truth [Stoic school, by Diog. Laertius]
14. Science / A. Basis of Science / 2. Demonstration
Demonstration derives what is less clear from what is clear [Stoic school, by Diog. Laertius]
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 / 1. Mind / a. Mind
The Stoics think that soul in the narrow sense is nothing but reason [Stoic school, by Frede,M]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Eight parts of the soul: five senses, seeds, speech and reason [Stoic school, by Diog. Laertius]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Division of the soul divides a person, reducing responsibility for the nonrational part [Stoic school, by Frede,M]
Stoics say the soul is a mixture of air and fire [Stoic school, by Galen]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Our conceptions arise from experience, similarity, analogy, transposition, composition and opposition [Stoic school, by Diog. Laertius]
16. Persons / A. Concept of a Person / 4. Persons as Agents
For Stoics the true self is defined by what I can be master of [Stoic school, by Foucault]
16. Persons / C. Self-Awareness / 2. Knowing the Self
What we know in ourselves is not a knower but a will [Schopenhauer]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
16. Persons / F. Free Will / 3. Constraints on the will
Stoics expanded the idea of compulsion, and contracted what counts as one's own actions [Stoic school, by Frede,M]
16. Persons / F. Free Will / 5. Against Free Will
The free will problem was invented by the Stoics [Stoic school, by Berlin]
16. Persons / F. Free Will / 6. Determinism / b. Fate
The nearest to ancient determinism is Stoic fate, but that is controlled by a sympathetic God [Stoic school, by Frede,M]
18. Thought / A. Modes of Thought / 3. Emotions / b. Types of emotion
Stoics classify passions according to the opinion of good and bad which they imply [Stoic school, by Taylor,C]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
There are four basic emotions: pleasure or delight, distress, appetite, and fear [Stoic school, by Cicero]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Stoics said that correct judgement needs an invincible criterion of truth [Stoic school, by Fogelin]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are intellectual phantasms [Stoic school, by Ps-Plutarch]
19. Language / C. Assigning Meanings / 3. Predicates
Predicates are incomplete 'lekta' [Stoic school, by Diog. Laertius]
19. Language / D. Propositions / 4. Mental Propositions
Humans have rational impressions, which are conceptual, and are true or false [Stoic school, by Frede,M]
19. Language / F. Communication / 1. Rhetoric
Rhetoric has three types, four modes, and four sections [Stoic school, by Diog. Laertius]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Earlier Stoics speak of assent, but not of choice, let alone of a will [Stoic school, by Frede,M]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Stoics said responsibility depends on rationality [Stoic school, by Sorabji]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Stoics use 'kalon' (beautiful) as a synonym for 'agathon' (good) [Bury on Stoic school]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Stoics say that folly alone is evil [Stoic school, by Sext.Empiricus]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Prime values apply to the life in agreement; useful values apply to the natural life [Stoic school, by Diog. Laertius]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
The appraiser's value is what is set by someone experienced in the facts [Stoic school, by Diog. Laertius]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
The goal is to live consistently with the constitution of a human being [Stoic school, by Clement]
22. Metaethics / B. Value / 2. Values / d. Health
Stoics said health is an 'indifferent', but they still considered it preferable [Stoic school, by Pormann]
The health of the soul is a good blend of beliefs [Stoic school, by Stobaeus]
22. Metaethics / B. Value / 2. Values / f. Altruism
Stoic morality says that one's own happiness will lead to impartiality [Stoic school, by Annas]
22. Metaethics / B. Value / 2. Values / g. Love
Virtuous men do not feel sexual desire, which merely focuses on physical beauty [Stoic school, by Diog. Laertius]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Stoicism was an elitist option to lead a beautiful life [Stoic school, by Foucault]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Final goods: confidence, prudence, freedom, enjoyment and no pain, good spirits, virtue [Stoic school, by Diog. Laertius]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness for the Stoics was an equable flow of life [Stoic school, by Sext.Empiricus]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is the end and goal, achieved by living virtuously, in agreement, and according to nature [Stoic school, by Stobaeus]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Stoics say pleasure is at most a byproduct of finding what is suitable for us [Stoic school, by Diog. Laertius]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
Rapture is a breakdown of virtue [Stoic school, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
If humans are citizens of the world (not just a state) then virtue is all good human habits [Stoic school, by Mautner]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
An appropriate action is one that can be defended, perhaps by its consistency. [Stoic school, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Honour is just, courageous, orderly or knowledgeable. It is praiseworthy, or functions well [Stoic school, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
The Stoics rejected entirely the high value that had been placed on contemplation [Stoic school, by Taylor,C]
23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods
Stoics do not despise external goods, but subject them to reason, and not to desire [Taylor,R on Stoic school]
Crafts like music and letters are virtuous conditions, and they accord with virtue [Stoic school, by Stobaeus]
23. Ethics / D. Deontological Ethics / 2. Duty
For Stoics, obligations are determined by social role [Taylor,R on Stoic school]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Man is distinguished by knowing conditional truths, because impressions are connected [Stoic school, by Long]
24. Political Theory / B. Nature of a State / 3. Constitutions
Stoics favour a mixture of democracy, monarchy and aristocracy [Stoic school, by Diog. Laertius]
24. Political Theory / D. Ideologies / 1. Ideology
The Stoics saw the whole world as a city [Stoic school, by Long]
The best government blends democracy, monarchy and aristocracy [Stoic school, by Diog. Laertius]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Stoics originated the concept of natural law, as agreed correct reasoning [Stoic school, by Annas]
25. Social Practice / F. Life Issues / 4. Suicide
Stoics say a wise man will commit suicide if he has a good enough reason [Stoic school, by Diog. Laertius]
Suicide is reasonable, for one's country or friends, or because of very bad health [Stoic school, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Stoic 'nature' is deterministic, physical and teleological [Stoic school, by Annas]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Unlike Epicurus, Stoics distinguish the Whole from the All, with the latter including the void [Stoic school, by Sext.Empiricus]
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 / 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]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
The cosmos has two elements - passive matter, and active cause (or reason) which shapes it [Stoic school, by Seneca]
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 / 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 / 1. Nature of Time / b. Relative time
Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]
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 / 2. Eternal Universe
The cosmos is regularly consumed and reorganised by the primary fire [Stoic school, by Aristocles]
28. God / A. Divine Nature / 2. Divine Nature
Early Stoics called the logos 'god', meaning not a being, but the principle of the universe [Stoic school]
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 / 2. Pantheism
Stoics say god is matter, or an inseparable quality of it, or is the power within it [Stoic school, by Chalcidius]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Virtuous souls endure till the end, foolish souls for a short time, animal souls not at all [Stoic school, by Eusebius]
Stoics say virtuous souls last till everything ends in fire, but foolish ones fade away [Stoic school, by ]