Combining Texts

All the ideas for 'Symposium', 'Philosophy' and 'Replies on 'Limits of Abstraction''

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26 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
10571 Concern for rigour can get in the way of understanding phenomena [Fine,K]
3. Truth / A. Truth Problems / 4. Uses of Truth
20320 Truth is what unites, and the profound truths create a community [Jaspers]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10565 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
10564 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
10569 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
10570 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
10573 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
10575 Why should a Dedekind cut correspond to a number? [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
10574 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
10560 Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
10568 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
10563 A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
16. Persons / F. Free Will / 2. Sources of Free Will
20323 Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers]
16. Persons / F. Free Will / 4. For Free Will
20322 I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10561 Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
10562 We can combine ZF sets with abstracts as urelements [Fine,K]
10567 We can create objects from conditions, rather than from concepts [Fine,K]
20. Action / C. Motives for Action / 4. Responsibility for Actions
20324 My freedom increases as I broaden my vision of possiblities and motives [Jaspers]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
5845 Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
23. Ethics / F. Existentialism / 1. Existentialism
20318 My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers]
20321 The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers]
20325 Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers]
23. Ethics / F. Existentialism / 6. Authentic Self
20317 Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers]
20315 'Existenz' is the potential being, which I could have, and ought to have [Jaspers]
20319 We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers]
23. Ethics / F. Existentialism / 7. Existential Action
20316 Every decision I make moves towards or away from fulfilled Existenz [Jaspers]