Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Against Liberalism' and 'Principia Mathematica'

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85 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
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 / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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 / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
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
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 / E. Direct Knowledge / 2. Intuition
Intuitions don't prove things; they just receptivity to interpretations [Kekes]
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]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Liberals say we are only responsible for fully autonomous actions [Kekes]
Collective responsibility conflicts with responsibility's requirement of authonomy [Kekes]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Why should moral responsibility depend on autonomy, rather than social role or experience? [Kekes]
Much human evil is not autonomous, so moral responsibility need not be autonomous [Kekes]
Evil people may not be autonomously aware, if they misjudge the situation [Kekes]
Moral and causal responsibility are not clearly distinct [Kekes]
Ought implies can means moral responsibility needs autonomy [Kekes]
Morality should aim to prevent all evil actions, not just autonomous ones [Kekes]
Effects show the existence of moral responsibility, and mental states show the degree [Kekes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Liberals assume people are naturally free, equal, rational, and morally good [Kekes]
22. Metaethics / B. Value / 2. Values / g. Love
Love should be partial, and discriminate in favour of its object [Kekes]
Sentimental love distorts its object [Kekes]
22. Metaethics / B. Value / 2. Values / j. Evil
Evil is not deviation from the good, any more than good is a deviation from evil [Kekes]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
What matters for morality is the effects of action, not the psychological causes [Kekes]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It is said that if an agent is not autonomous then their evil actions don't reflect on their character [Kekes]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Awareness of others' suffering doesn't create an obligation to help [Kekes]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
The veil of ignorance is only needed because people have bad motivations [Kekes]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The chief function of the state is to arbitrate between contending visions of the good life [Kekes]
24. Political Theory / B. Nature of a State / 4. Citizenship
Citizenship is easier than parenthood [Kekes]
24. Political Theory / C. Ruling a State / 1. Social Power
Power is meant to be confined to representatives, and subsequent delegation [Kekes]
24. Political Theory / D. Ideologies / 3. Conservatism
Prosperity is a higher social virtue than justice [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal basics are pluralism, freedom, rights, equality, and distributive justice - for autonomy [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The key liberal values are explained by the one core value, which is autonomy [Kekes]
Agents have little control over the capacities needed for liberal autonomy [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Liberals are egalitarians, but in varying degrees [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Are egalitarians too coercive, or not egalitarian enough, or lax over morality? [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberal justice ignores desert, which is the essence of justice [Kekes]
Why do liberals not see a much wider range of values as basic? [Kekes]
Liberals ignore contingency, and think people are good and equal, and institutions cause evil [Kekes]
Liberal distribution cares more about recipients than donors [Kekes]
25. Social Practice / B. Equalities / 1. Grounds of equality
To rectify the undeserved equality, we should give men longer and women shorter lives [Kekes]
It is just a fact that some people are morally better than others [Kekes]
25. Social Practice / B. Equalities / 4. Economic equality
The problem is basic insufficiency of resources, not their inequality [Kekes]
It is not deplorable that billionaires have more than millionaires [Kekes]
25. Social Practice / D. Justice / 1. Basis of justice
Justice combines consistency and desert; treat likes alike, judging likeness by desert [Kekes]
25. Social Practice / E. Policies / 3. Welfare provision
Liberal welfare focuses on need rather than desert [Kekes]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Sexual morality doesn't require monogamy, but it needs a group of sensible regulations [Kekes]
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]
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]
3: All actions of bodies have an equal and opposite reaction [Newton]
2: Change of motion is proportional to the force [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 / 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]