Combining Texts

All the ideas for 'Must We Believe in Set Theory?st1=George Boolos', 'Psychosemantics' and 'In Defense of Essentialism'

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46 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
'Jocasta' needs to be distinguished from 'Oedipus's mother' because they are connected by different properties [Fodor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A particle and a coin heads-or-tails pick out to perfectly well-defined predicates and properties [Fodor]
8. Modes of Existence / D. Universals / 1. Universals
It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
'Substance theorists' take modal properties as primitive, without structure, just falling under a sortal [Paul,LA]
If an object's sort determines its properties, we need to ask what determines its sort [Paul,LA]
Substance essentialism says an object is multiple, as falling under various different sortals [Paul,LA]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Absolutely unrestricted qualitative composition would allow things with incompatible properties [Paul,LA]
9. Objects / D. Essence of Objects / 2. Types of Essence
Deep essentialist objects have intrinsic properties that fix their nature; the shallow version makes it contextual [Paul,LA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Deep essentialists say essences constrain how things could change; modal profiles fix natures [Paul,LA]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essentialism must deal with charges of arbitrariness, and failure to reduce de re modality [Paul,LA]
An object's modal properties don't determine its possibilities [Paul,LA]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
'Modal realists' believe in many concrete worlds, 'actualists' in just this world, 'ersatzists' in abstract other worlds [Paul,LA]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Sticklebacks have an innate idea that red things are rivals [Fodor]
Evolution suggests that innate knowledge of human psychology would be beneficial [Fodor]
Contrary to commonsense, most of what is in the mind seems to be unlearned [Fodor]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
In CRTT thought may be represented, content must be [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentionality doesn't go deep enough to appear on the physicists' ultimate list of things [Fodor]
We can't use propositions to explain intentional attitudes, because they would need explaining [Fodor]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourism has no theory of mental causation [Fodor]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Any piece of software can always be hard-wired [Fodor]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Causal powers must be a crucial feature of mental states [Fodor]
17. Mind and Body / C. Functionalism / 6. Homuncular Functionalism
Mind is a set of hierarchical 'homunculi', which are made up in turn from subcomponents [Fodor, by Lycan]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience gives good support for mental causation [Fodor]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Hume's associationism offers no explanation at all of rational thought [Fodor]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
If mind is just physical, how can it follow the rules required for intelligent thought? [Fodor]
18. Thought / A. Modes of Thought / 1. Thought
We may be able to explain rationality mechanically [Fodor]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology is the only explanation of behaviour we have [Fodor]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Belief and desire are structured states, which need mentalese [Fodor]
18. Thought / C. Content / 7. Narrow Content
Obsession with narrow content leads to various sorts of hopeless anti-realism [Fodor]
18. Thought / C. Content / 10. Causal Semantics
Do identical thoughts have identical causal roles? [Fodor]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Grice thinks meaning is inherited from the propositional attitudes which sentences express [Fodor]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Whatever in the mind delivers falsehood is parasitic on what delivers truth [Fodor]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Many different verification procedures can reach 'star', but it only has one semantic value [Fodor]
19. Language / A. Nature of Meaning / 6. Meaning as Use
The meaning of a sentence derives from its use in expressing an attitude [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Meaning holism is a crazy doctrine [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Very different mental states can share their contents, so content doesn't seem to be constructed from functional role [Fodor]
19. Language / A. Nature of Meaning / 8. Synonymy
Mental states may have the same content but different extensions [Fodor]