Combining Texts

All the ideas for 'fragments/reports', 'The Art of the Infinite' and 'The Need for Roots'

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29 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 / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Creation produced a network or web of determinations [Weil]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
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]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion should quietly suffuse all human life with its light [Weil]