Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Concluding Unscientific Postscript' and 'Reference and Necessity'

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32 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
I conceived it my task to create difficulties everywhere [Kierkegaard]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Wherever there is painless contradiction there is also comedy [Kierkegaard]
3. Truth / A. Truth Problems / 2. Defining Truth
Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 3. Value of Truth
Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
3. Truth / A. Truth Problems / 8. Subjective Truth
The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
9. Objects / C. Structure of Objects / 7. Substratum
Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker]
Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker]
Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Kripke's possible worlds are methodological, not metaphysical [Stalnaker]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker]
16. Persons / B. Nature of the Self / 2. Ethical Self
The real subject is ethical, not cognitive [Kierkegaard]
19. Language / A. Nature of Meaning / 1. Meaning
If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker]
19. Language / C. Assigning Meanings / 2. Semantics
'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
To understand an utterance, you must understand what the world would be like if it is true [Stalnaker]
23. Ethics / F. Existentialism / 1. Existentialism
While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
23. Ethics / F. Existentialism / 6. Authentic Self
People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
28. God / A. Divine Nature / 2. Divine Nature
God does not think or exist; God creates, and is eternal [Kierkegaard]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
28. God / C. Attitudes to God / 2. Pantheism
Pantheism destroys the distinction between good and evil [Kierkegaard]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
Without risk there is no faith [Kierkegaard]