Combining Texts

All the ideas for 'fragments/reports', 'A Theory of Justice' and 'Science without Numbers'

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36 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]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Human injustice is not a permanent feature of communities [Rawls]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Rawls defends the priority of right over good [Rawls, by Finlayson]
23. Ethics / B. Contract Ethics / 1. Contractarianism
A fair arrangement is one that parties can agree to without knowing how it will benefit them personally [Rawls, by Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Utilitarianism inappropriately scales up the individual willingness to make sacrifices [Rawls, by Nagel]
24. Political Theory / A. Basis of a State / 4. Original Position / a. Original position
Why does the rational agreement of the 'Original Position' in Rawls make it right? [Nagel on Rawls]
The original position models the idea that citizens start as free and equal [Rawls, by Swift]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
Choose justice principles in ignorance of your own social situation [Rawls]
24. Political Theory / A. Basis of a State / 4. Original Position / c. Difference principle
All desirable social features should be equal, unless inequality favours the disadvantaged [Rawls]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Utilitarians lump persons together; Rawls somewhat separates them; Nozick wholly separates them [Swift on Rawls]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Rawls's account of justice relies on conventional fairness, avoiding all moral controversy [Gray on Rawls]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Liberty Principle: everyone has an equal right to liberties, if compatible with others' liberties [Rawls]
25. Social Practice / D. Justice / 1. Basis of justice
The social contract has problems with future generations, national boundaries, disabilities and animals [Rawls, by Nussbaum]
Justice concerns not natural distributions, or our born location, but what we do about them [Rawls]
25. Social Practice / E. Policies / 1. War / b. Justice in war
If an aggression is unjust, the constraints on how it is fought are much stricter [Rawls]
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]