Combining Texts

All the ideas for 'fragments/reports', 'Political Philosophy (3rd ed)' and 'Science without Numbers'

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46 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
In Field's version of science, space-time points replace real numbers [Field,H, by Szabó]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H]
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro]
Hilbert explains geometry, by non-numerical facts about space [Field,H]
Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Abstractions can form useful counterparts to concrete statements [Field,H]
Mathematics is only empirical as regards which theory is useful [Field,H]
Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
You can reduce ontological commitment by expanding the logic [Field,H]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Field presumes properties can be eliminated from science [Field,H, by Szabó]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Beneath every extrinsic explanation there is an intrinsic explanation [Field,H]
18. Thought / E. Abstraction / 4. Abstracta by Example
'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
We should respect the right of people to live in their own way, even if it is irrational [Swift]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Anti-colonial movements usually invoke the right of their 'people' to self-determination [Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Isn't it more rational to maximise the average position, but with a safety net? [Swift]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Hypothetical contracts have no binding force [Swift]
24. Political Theory / B. Nature of a State / 4. Citizenship
Cosmopolitans reject the right of different states to distribute resources in different ways [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is bad, but the other systems are worse [Swift]
Since all opinions are treated as equal in democracy, it implies there are no right answers [Swift]
Design your democracy to treat citizens equally, or to produce better citizens? [Swift]
Design your democracy to yield political stability, or good decisions? [Swift]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Teledemocracy omits debate and deliberation, which are important parts of good decisions [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / f. Multiculturalism
Multiculturalism is a barrier to the whole state being a community [Swift]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals mistakenly think individuals choose their values, without reference to the community [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The best way to build a cohesive community is to be involved in a war [Swift]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Membership and inclusion in a community implies non-membership and exclusion [Swift]
Liberals are concerned to protect individuals from too much community [Swift]
24. Political Theory / D. Ideologies / 8. Socialism
Redistributing wealth treats some people as means, rather than as ends [Swift]
24. Political Theory / D. Ideologies / 12. Feminism
Men have had the power to structure all of our social institutions [Swift]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Maybe a freedom is from a restraint, and also in order to do something [Swift]
25. Social Practice / B. Equalities / 1. Grounds of equality
Opportunity should ignore extraneous factors, or foster competence, or ignore all disadvantages [Swift]
25. Social Practice / B. Equalities / 4. Economic equality
Inequalities are needed, as incentives to do the most important jobs [Swift]
A person can desire redistibution of wealth, without it being for reasons of equality [Swift]
25. Social Practice / C. Rights / 4. Property rights
You can't necessarily sell your legitimate right to something, even if you produced it [Swift]
Libertarians about property ignore the fact that private property is a denial of freedoms [Swift]
25. Social Practice / D. Justice / 1. Basis of justice
Justice can be seen as fairness or entitlement or desert [Swift]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
In theories of fields, space-time points or regions are causal agents [Field,H]
27. Natural Reality / C. Space / 4. Substantival Space
Both philosophy and physics now make substantivalism more attractive [Field,H]
27. Natural Reality / C. Space / 5. Relational Space
Relational space is problematic if you take the idea of a field seriously [Field,H]