Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Identity and Necessity' and 'The Mystery of Consciousness'

expand these ideas     |    start again     |     specify just one area for these texts


27 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 / F. Referring in Logic / 1. Naming / b. Names as descriptive
We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The function of names is simply to refer [Kripke]
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 / 2. Reduction
Reduction is either by elimination, or by explanation [Searle]
Eliminative reduction needs a gap between appearance and reality, as in sunsets [Searle]
8. Modes of Existence / B. Properties / 3. Types of Properties
A property is 'emergent' if it is caused by elements of a system, when the elements lack the property [Searle]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
It is necessary that this table is not made of ice, but we don't know it a priori [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A 'rigid designator' designates the same object in all possible worlds [Kripke]
We cannot say that Nixon might have been a different man from the one he actually was [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Explanation of how we unify our mental stimuli into a single experience is the 'binding problem' [Searle]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
A system is either conscious or it isn't, though the intensity varies a lot [Searle]
Consciousness has a first-person ontology, which only exists from a subjective viewpoint [Searle]
There isn't one consciousness (information-processing) which can be investigated, and another (phenomenal) which can't [Searle]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
The use of 'qualia' seems to imply that consciousness and qualia are separate [Searle]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
Identity theorists must deny that pains can be imagined without brain states [Kripke]
17. Mind and Body / C. Functionalism / 7. Chinese Room
I now think syntax is not in the physics, but in the eye of the beholder [Searle]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Consciousness has a first-person ontology, so it cannot be reduced without omitting something [Searle]
17. Mind and Body / D. Property Dualism / 4. Emergentism
There is non-event causation between mind and brain, as between a table and its solidity [Searle]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The pattern of molecules in the sea is much more complex than the complexity of brain neurons [Searle]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If tree rings contain information about age, then age contains information about rings [Searle]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / e. Modal argument
Pain, unlike heat, is picked out by an essential property [Kripke]