Combining Texts

All the ideas for 'The Nature of Mental States', 'Identity, Ostension, and Hypostasis' and 'The Philosophy of Mathematics'

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27 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
We aren't stuck with our native conceptual scheme; we can gradually change it [Quine]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
7. Existence / B. Change in Existence / 2. Processes
A river is a process, with stages; if we consider it as one thing, we are considering a process [Quine]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We don't say 'red' is abstract, unlike a river, just because it has discontinuous shape [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
General terms don't commit us ontologically, but singular terms with substitution do [Quine]
7. Existence / E. Categories / 5. Category Anti-Realism
Discourse generally departmentalizes itself to some degree [Quine]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Understanding 'is square' is knowing when to apply it, not knowing some object [Quine]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
'Red' is a single concrete object in space-time; 'red' and 'drop' are parts of a red drop [Quine]
Red is the largest red thing in the universe [Quine]
9. Objects / F. Identity among Objects / 1. Concept of Identity
To unite a sequence of ostensions to make one object, a prior concept of identity is needed [Quine]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
We should just identify any items which are indiscernible within a given discourse [Quine]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Dispositions need mental terms to define them [Putnam]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Total paralysis would mean that there were mental states but no behaviour at all [Putnam]
17. Mind and Body / C. Functionalism / 1. Functionalism
Is pain a functional state of a complete organism? [Putnam]
Functionalism is compatible with dualism, as pure mind could perform the functions [Putnam]
Functional states correlate with AND explain pain behaviour [Putnam]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Temperature is mean molecular kinetic energy, but they are two different concepts [Putnam]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Neuroscience does not support multiple realisability, and tends to support identity [Polger on Putnam]
If humans and molluscs both feel pain, it can't be a single biological state [Putnam, by Kim]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
Concepts are language [Quine]
18. Thought / E. Abstraction / 1. Abstract Thought
Apply '-ness' or 'class of' to abstract general terms, to get second-level abstract singular terms [Quine]