Combining Texts

All the ideas for 'To be is to be the value of a variable..', 'Mathematical Logic (revised)' and 'The Mystery of Consciousness'

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26 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
We might do without names, by converting them into predicates [Quine, by Kirkham]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Boolos invented plural quantification [Boolos, by Benardete,JA]
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]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
First- and second-order quantifiers are two ways of referring to the same things [Boolos]
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]
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 / 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]