Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Essence and Potentiality' and 'The Need for Roots'

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35 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
Truth is not a object we love - it is the radiant manifestation of reality [Weil]
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 / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Creation produced a network or web of determinations [Weil]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Essence is a thing's necessities, but what about its possibilities (which may not be realised)? [Vetter]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Real definition fits abstracta, but not individual concrete objects like Socrates [Vetter]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Modal accounts make essence less mysterious, by basing them on the clearer necessity [Vetter]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is even more deeply empirical than Kripke has argued [Vetter]
10. Modality / B. Possibility / 1. Possibility
Possible worlds allow us to talk about degrees of possibility [Vetter]
Maybe possibility is constituted by potentiality [Vetter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
The apparently metaphysically possible may only be epistemically possible [Vetter]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Closeness of worlds should be determined by the intrinsic nature of relevant objects [Vetter]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The aesthete's treatment of beauty as amusement is sacreligious; beauty should nourish [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
Beauty is the proof of what is good [Weil]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Respect is our only obligation, which can only be expressed through deeds, not words [Weil]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
The most important human need is to have multiple roots [Weil]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The need for order stands above all others, and is understood via the other needs [Weil]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Obligations only bind individuals, not collectives [Weil]
24. Political Theory / B. Nature of a State / 4. Citizenship
A citizen should be able to understand the whole of society [Weil]
Even the poorest should feel collective ownership, and participation in grand display [Weil]
24. Political Theory / B. Nature of a State / 5. Culture
Culture is an instrument for creating an ongoing succession of teachers [Weil]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A lifelong head of society should only be a symbol, not a ruler [Weil]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Party politics in a democracy can't avoid an anti-democratic party [Weil]
24. Political Theory / D. Ideologies / 8. Socialism
Socialism tends to make a proletariat of the whole population [Weil]
24. Political Theory / D. Ideologies / 11. Capitalism
The capitalists neglect the people and the nation, and even their own interests [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
By making money the sole human measure, inequality has become universal [Weil]
25. Social Practice / C. Rights / 1. Basis of Rights
People have duties, and only have rights because of the obligations of others to them [Weil]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
To punish people we must ourselves be innocent - but that undermines the desire to punish [Weil]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
The soldier-civilian distinction should be abolished; every citizen is committed to a war [Weil]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Education is essentially motivation [Weil]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion should quietly suffuse all human life with its light [Weil]