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All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Mental Files' and 'Gravity and Grace (9 extracts)'

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53 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
We seek truth only because it is good [Weil]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Mental files are the counterparts of singular terms [Recanati]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity statements are informative if they link separate mental files [Recanati]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
There is a continuum from acquaintance to description in knowledge, depending on the link [Recanati]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexicality is closely related to singularity, exploiting our direct relations with things [Recanati]
Indexicals apply to singular thought, and mental files have essentially indexical features [Recanati]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Files can be confused, if two files correctly have a single name, or one file has two names [Recanati]
Encylopedic files have further epistemic links, beyond the basic one [Recanati]
Singular thoughts need a mental file, and an acquaintance relation from file to object [Recanati]
Expected acquaintance can create a thought-vehicle file, but without singular content [Recanati]
An 'indexed' file marks a file which simulates the mental file of some other person [Recanati]
Reference by mental files is Millian, in emphasising acquaintance, rather than satisfaction [Recanati]
The reference of a file is fixed by what it relates to, not the information it contains [Recanati]
A mental file treats all of its contents as concerning one object [Recanati]
There are transient 'demonstrative' files, habitual 'recognitional' files, cumulative 'encyclopedic' files [Recanati]
Files are hierarchical: proto-files, then first-order, then higher-order encyclopedic [Recanati]
A file has a 'nucleus' through its relation to the object, and a 'periphery' of links to other files [Recanati]
18. Thought / C. Content / 1. Content
The content of thought is what is required to understand it (which involves hearers) [Recanati]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Mental files are individual concepts (thought constituents) [Recanati]
19. Language / B. Reference / 1. Reference theories
There may be two types of reference in language and thought: descriptive and direct [Recanati]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
In super-direct reference, the referent serves as its own vehicle of reference [Recanati]
Direct reference is strong Millian (just a tag) or weak Kaplanian (allowing descriptions as well) [Recanati]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Sense determines reference says same sense/same reference; new reference means new sense [Recanati]
We need sense as well as reference, but in a non-descriptive form, and mental files do that [Recanati]
Sense is a mental file (not its contents); similar files for Cicero and Tully are two senses [Recanati]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Problems with descriptivism are reference by perception, by communications and by indexicals [Recanati]
Descriptivism says we mentally relate to objects through their properties [Recanati]
Definite descriptions reveal either a predicate (attributive use) or the file it belongs in (referential) [Recanati]
A rigid definite description can be attributive, not referential: 'the actual F, whoever he is….' [Recanati]
Singularity cannot be described, and it needs actual world relations [Recanati]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean modes of presentation can be understood as mental files [Recanati]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
If two people think 'I am tired', they think the same thing, and they think different things [Recanati]
Indexicals (like mental files) determine their reference relationally, not by satisfaction [Recanati]
Indexical don't refer; only their tokens do [Recanati]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
In 2-D semantics, reference is determined, then singularity by the truth of a predication [Recanati]
Two-D semantics is said to help descriptivism of reference deal with singular objects [Recanati]
19. Language / D. Propositions / 3. Concrete Propositions
Russellian propositions are better than Fregean thoughts, by being constant through communication [Recanati]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
Beauty, goodness and truth are only achieved by applying full attention [Weil]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is a nothingness, and yet real [Weil]
There are two goods - the absolute good we want, and the reachable opposite of evil [Weil]
24. Political Theory / C. Ruling a State / 1. Social Power
The essence of power is illusory prestige [Weil]
24. Political Theory / D. Ideologies / 1. Ideology
A group is only dangerous if it endorses an abstract entity [Weil]
24. Political Theory / D. Ideologies / 2. Anarchism
Our only social duty is to try to limit evil [Weil]
24. Political Theory / D. Ideologies / 9. Communism
The collective is the one and only object of false idolatry [Weil]
24. Political Theory / D. Ideologies / 14. Nationalism
Charity is the only love, and you can feel that for a country (a place with traditions), but not a nation [Weil]
25. Social Practice / A. Freedoms / 1. Slavery
If effort is from necessity rather than for a good, it is slavery [Weil]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The soul is the intrinsic value of a human [Weil]