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All the ideas for 'Natural Goodness', 'The German Ideology' and 'Structures and Structuralism in Phil of Maths'

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56 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom only implies the knowledge achievable in any normal lifetime [Foot]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is no more than abstractions concerning observations of human historical development [Marx/Engels]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
7. Existence / D. Theories of Reality / 6. Physicalism
Philosophical problems are resolved into empirical facts [Marx/Engels]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
'Society determines consciousness' is contradictory; society only exists in minds [Weil on Marx/Engels]
Life is not determined by consciousness, but consciousness by life [Marx/Engels]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Language co-exists with consciousness, and makes it social [Marx/Engels]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
All criterions of practical rationality derive from goodness of will [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Moral reason is not just neutral, because morality is part of the standard of rationality [Foot, by Hacker-Wright]
Practical rationality must weigh both what is morally and what is non-morally required [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Consciousness is a social product [Marx/Engels]
The nature of an individual coincides with what they produce and how they produce it [Marx/Engels]
Moral virtues arise from human nature, as part of what makes us good human beings [Foot, by Hacker-Wright]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Sterility is a human defect, but the choice to be childless is not [Foot]
Virtues are as necessary to humans as stings are to bees [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Moral evaluations are not separate from facts, but concern particular facts about functioning [Foot]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Deep happiness usually comes from the basic things in life [Foot]
Happiness is enjoying the pursuit and attainment of right ends [Foot]
23. Ethics / A. Egoism / 1. Ethical Egoism
Good actions can never be justified by the good they brings to their agent [Foot]
23. Ethics / B. Contract Ethics / 5. Free Rider
We all know that just pretending to be someone's friend is not the good life [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
When aristocracy or the bourgeoisie dominate, certain values dominate with them [Marx/Engels]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Someone is a good person because of their rational will, not their body or memory [Foot]
23. Ethics / F. Existentialism / 6. Authentic Self
Young Hegelians proposed changing our present consciousness for liberating critical consciousness [Marx/Engels]
23. Ethics / F. Existentialism / 7. Existential Action
Refraining from murder is not made good by authenticity or self-fulfilment [Foot]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Producing their own subsistence distinguishes men from animals [Marx/Engels]
Men distinguish themselves from animals when they begin to produce their means of subsistence [Marx/Engels]
Individuals are mutually hostile unless they group together in competition with other groups [Marx/Engels]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Only in community are people able to cultivate their gifts, and therefore be free [Marx/Engels]
24. Political Theory / D. Ideologies / 9. Communism
Young Hegelians think consciousness is chains for men, where old Hegelians think it the bond of society [Marx/Engels]
In communist society we are not trapped in one activity, but can act freely [Marx/Engels]
If the common interest imposes on the individual, his actions become alienated and enslaving [Marx/Engels]
The class controlling material production also controls mental production [Marx/Engels]
The revolutionary class is opposed to 'class', and represents all of society [Marx/Engels]
To assert themselves as individuals, the proletarians must overthrow the State [Marx/Engels]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery cannot be abolished without the steam-engine [Marx/Engels]
25. Social Practice / A. Freedoms / 4. Free market
Communism abolishes private property and dissolves the powerful world market [Marx/Engels]
25. Social Practice / C. Rights / 4. Property rights
The law says private property is the result of the general will [Marx/Engels]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Human history must always be studied in relation to industry and exchange [Marx/Engels]
Most historians are trapped in the illusions of their own epoch [Marx/Engels]