Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Relation of Sense-Data to Physics' and 'Sources of the Self'

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33 ideas

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 / 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]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell]
9. Objects / A. Existence of Objects / 1. Physical Objects
Physical things are series of appearances whose matter obeys physical laws [Russell]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
We need not deny substance, but there seems no reason to assert it [Russell]
The assumption by physicists of permanent substance is not metaphysically legitimate [Russell]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Where possible, logical constructions are to be substituted for inferred entities [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
No sensibile is ever a datum to two people at once [Russell]
Russell held that we are aware of states of our own brain [Russell, by Robinson,H]
Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari]
Sense-data are not mental, but are part of the subject-matter of physics [Russell]
Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell]
Sense-data are usually objects within the body, but are not part of the subject [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / c. Unperceived sense-data
We do not know whether sense-data exist as objects when they are not data [Russell]
'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell]
Ungiven sense-data can no more exist than unmarried husbands [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Individuating sense-data is difficult, because they divide when closely attended to [Russell]
Sense-data may be subjective, if closing our eyes can change them [Russell]
16. Persons / A. Concept of a Person / 4. Persons as Agents
The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C]
16. Persons / B. Nature of the Self / 2. Ethical Self
My aim is to map the connections between our sense of self and our moral understanding [Taylor,C]
16. Persons / E. Rejecting the Self / 3. Narrative Self
I can only be aware of myself as a person who changes by means of my personal history [Taylor,C]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Selfhood and moral values are inextricably intertwined [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Willingness to risk life was the constitutive quality of the man of honour [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
Consistency presupposes intrinsic description [Taylor,C]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Matter is the limit of appearances as distance from the object diminishes [Russell]
27. Natural Reality / C. Space / 2. Space
There is 'private space', and there is also the 'space of perspectives' [Russell]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C]