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All the ideas for 'fragments/reports', 'Logic in Mathematics' and 'Against Liberalism'

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59 ideas

2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuitions don't prove things; they just receptivity to interpretations [Kekes]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
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
Moral and causal responsibility are not clearly distinct [Kekes]
Morality should aim to prevent all evil actions, not just autonomous ones [Kekes]
Much human evil is not autonomous, so moral responsibility need not be autonomous [Kekes]
Effects show the existence of moral responsibility, and mental states show the degree [Kekes]
Evil people may not be autonomously aware, if they misjudge the situation [Kekes]
Ought implies can means moral responsibility needs autonomy [Kekes]
Why should moral responsibility depend on autonomy, rather than social role or experience? [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
It is not deplorable that billionaires have more than millionaires [Kekes]
The problem is basic insufficiency of resources, not their inequality [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]