Combining Texts

All the ideas for 'fragments/reports', 'works' and 'Replies on 'Limits of Abstraction''

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27 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Concern for rigour can get in the way of understanding phenomena [Fine,K]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
There is no stage at which we can take all the sets to have been generated [Fine,K]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
We might combine the axioms of set theory with the axioms of mereology [Fine,K]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Why should a Dedekind cut correspond to a number? [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
We can combine ZF sets with abstracts as urelements [Fine,K]
We can create objects from conditions, rather than from concepts [Fine,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Armies and businesses create moralities in which their activity can do no wrong [Marx, by Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Liberal freedom is the right to be separate, and ignores the union of man with man [Marx]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals want the right to be separate, rather than for people to be united [Marx]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Early Marx anticipates communitarian objections to liberalism [Marx, by Oksala]
24. Political Theory / D. Ideologies / 9. Communism
By saying the material dialectic of history aspires to the best, Marx agreed with capitalism [Weil on Marx]
False consciousness results from concealment by the superstructure [Marx, by Singer]
Marx says force is everything, and that the weak will become strong, while remaining the weak [Weil on Marx]
Marx rejected equal rights because they never actually treat people as equals [Marx, by Kymlicka]
24. Political Theory / D. Ideologies / 11. Capitalism
Capitalism changes the world, by socialising the idea of a commodity [Marx, by Bowie]
The essence of capitalism is the subordination of people to things [Marx, by Weil]
Marx thought capitalism was partly liberating, and could make labour and ownership more humane [Marx, by Bowie]
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]