Combining Texts

All the ideas for 'fragments/reports', 'Community' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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23 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Liberal state legitimacy is based on a belief in justice, not in some conception of the good life [Kymlicka]
24. Political Theory / B. Nature of a State / 5. Culture
Liberals say state intervention in culture restricts people's autonomy [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Modern liberals see a community as simply a society which respects freedom and equality [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Community can focus on class or citizenship or ethnicity or culture [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Communitarianism struggles with excluded marginalised groups [Kymlicka]
Feminism has shown that social roles are far from fixed (as communitarians tend to see them) [Kymlicka]
Participation aids the quest for the good life, but why should that be a state activity? [Kymlicka]
25. Social Practice / D. Justice / 1. Basis of justice
Communitarians see justice as primarily a community matter, rather than a principle [Kymlicka]
Justice resolves conflicts, but may also provoke them [Kymlicka]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]