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All the ideas for 'Structures and Structuralism in Phil of Maths', 'Psychosemantics' and 'Getting Causes from Powers'

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91 ideas

3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
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]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
7. Existence / B. Change in Existence / 2. Processes
A process is unified as an expression of a collection of causal powers [Mumford/Anjum]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are essentially changes; property exemplifications are just states of affairs [Mumford/Anjum]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Weak emergence is just unexpected, and strong emergence is beyond all deduction [Mumford/Anjum]
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 / C. Powers and Dispositions / 1. Powers
Powers explain properties, causes, modality, events, and perhaps even particulars [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Powers offer no more explanation of nature than laws do [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers are not just basic forces, since they combine to make new powers [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositionality is a natural selection function, picking outcomes from the range of possibilities [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
We say 'power' and 'disposition' are equivalent, but some say dispositions are manifestable [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
The simple conditional analysis of dispositions doesn't allow for possible prevention [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Might dispositions be reduced to normativity, or to intentionality? [Mumford/Anjum]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If statue and clay fall and crush someone, the event is not overdetermined [Mumford/Anjum]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Pandispositionalists say structures are clusters of causal powers [Mumford/Anjum]
9. Objects / E. Objects over Time / 5. Temporal Parts
Perdurantism imposes no order on temporal parts, so sequences of events are contingent [Mumford/Anjum]
10. Modality / A. Necessity / 1. Types of Modality
Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum]
Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum]
10. Modality / A. Necessity / 7. Natural Necessity
Relations are naturally necessary when they are generated by the essential mechanisms of the world [Mumford/Anjum]
10. Modality / B. Possibility / 1. Possibility
Possibility might be non-contradiction, or recombinations of the actual, or truth in possible worlds [Mumford/Anjum]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Maybe truths are necessitated by the facts which are their truthmakers [Mumford/Anjum]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
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]
Sticklebacks have an innate idea that red things are rivals [Fodor]
12. Knowledge Sources / B. Perception / 1. Perception
We have more than five senses; balance and proprioception, for example [Mumford/Anjum]
14. Science / A. Basis of Science / 6. Falsification
Smoking disposes towards cancer; smokers without cancer do not falsify this claim [Mumford/Anjum]
14. Science / C. Induction / 1. Induction
If causation were necessary, the past would fix the future, and induction would be simple [Mumford/Anjum]
The only full uniformities in nature occur from the essences of fundamental things [Mumford/Anjum]
14. Science / C. Induction / 3. Limits of Induction
Nature is not completely uniform, and some regular causes sometimes fail to produce their effects [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
It is tempting to think that only entailment provides a full explanation [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
A structure won't give a causal explanation unless we know the powers of the structure [Mumford/Anjum]
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
We can't use propositions to explain intentional attitudes, because they would need explaining [Fodor]
Intentionality doesn't go deep enough to appear on the physicists' ultimate list of things [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 / 4. Emergentism
Strong emergence seems to imply top-down causation, originating in consciousness [Mumford/Anjum]
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]
26. Natural Theory / C. Causation / 1. Causation
Causation by absence is not real causation, but part of our explanatory practices [Mumford/Anjum]
Causation may not be transitive. Does a fire cause itself to be extinguished by the sprinklers? [Mumford/Anjum]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation is the passing around of powers [Mumford/Anjum]
26. Natural Theory / C. Causation / 6. Causation as primitive
We take causation to be primitive, as it is hard to see how it could be further reduced [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation doesn't have two distinct relata; it is a single unfolding process [Mumford/Anjum]
A collision is a process, which involves simultaneous happenings, but not instantaneous ones [Mumford/Anjum]
Does causation need a third tying ingredient, or just two that meet, or might there be a single process? [Mumford/Anjum]
Sugar dissolving is a process taking time, not one event and then another [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Privileging one cause is just an epistemic or pragmatic matter, not an ontological one [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Coincidence is conjunction without causation; smoking causing cancer is the reverse [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Occasionally a cause makes no difference (pre-emption, perhaps) so the counterfactual is false [Mumford/Anjum]
Is a cause because of counterfactual dependence, or is the dependence because there is a cause? [Mumford/Anjum]
Cases of preventing a prevention may give counterfactual dependence without causation [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Nature can be interfered with, so a cause never necessitates its effects [Mumford/Anjum]
We assert causes without asserting that they necessitate their effects [Mumford/Anjum]
Necessary causation should survive antecedent strengthening, but no cause can always survive that [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'ceteris paribus' clause implies that a conditional only has dispositional force [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
There may be necessitation in the world, but causation does not supply it [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws are nothing more than descriptions of the behaviour of powers [Mumford/Anjum]
If laws are equations, cause and effect must be simultaneous (or the law would be falsified)! [Mumford/Anjum]