Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On the Plurality of Worlds' and 'Sameness and Substance Renewed'

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139 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Honesty requires philosophical theories we can commit to with our ordinary commonsense [Lewis]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis reduces primitives and makes understanding explicit (without adding new knowledge) [Lewis]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We learn a concept's relations by using it, without reducing it to anything [Wiggins]
3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude might be explained as being close to the possible world where the truth is exact [Lewis]
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 / 3. Property (λ-) Abstraction
(λx)[Man x] means 'the property x has iff x is a man'. [Wiggins]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis]
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 / A. Nature of Existence / 2. Types of Existence
There are only two kinds: sets, and possibilia (actual and possible particulars) [Lewis, by Oliver]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
What exists can't depend on our conceptual scheme, and using all conceptual schemes is too liberal [Sider on Wiggins]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience concerns whether things could differ, so it is a modal notion [Lewis]
7. Existence / D. Theories of Reality / 7. Fictionalism
Abstractions may well be verbal fictions, in which we ignore some features of an object [Lewis]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Vagueness is semantic indecision: we haven't settled quite what our words are meant to express [Lewis]
Whether or not France is hexagonal depends on your standards of precision [Lewis]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Surely 'slept in by Washington' is a property of some bed? [Lewis]
Properties don't have degree; they are determinate, and things have varying relations to them [Lewis]
The 'abundant' properties are just any bizarre property you fancy [Lewis]
8. Modes of Existence / B. Properties / 2. Need for Properties
To be a 'property' is to suit a theoretical role [Lewis]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
A disjunctive property can be unnatural, but intrinsic if its disjuncts are intrinsic [Lewis]
If a global intrinsic never varies between possible duplicates, all necessary properties are intrinsic [Cameron on Lewis]
Global intrinsic may make necessarily coextensive properties both intrinsic or both extrinsic [Cameron on Lewis]
All of the natural properties are included among the intrinsic properties [Lewis]
8. Modes of Existence / B. Properties / 5. Natural Properties
We might try defining the natural properties by a short list of them [Lewis]
Natural properties give similarity, joint carving, intrinsicness, specificity, homogeneity... [Lewis]
We can't define natural properties by resemblance, if they are used to explain resemblance [Lewis]
Defining natural properties by means of laws of nature is potentially circular [Lewis]
I don't take 'natural' properties to be fixed by the nature of one possible world [Lewis]
Sparse properties rest either on universals, or on tropes, or on primitive naturalness [Lewis, by Maudlin]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
There is the property of belonging to a set, so abundant properties are as numerous as the sets [Lewis]
8. Modes of Existence / B. Properties / 11. Properties as Sets
A property is the set of its actual and possible instances [Lewis, by Oliver]
The property of being F is identical with the set of objects, in all possible worlds, which are F [Lewis, by Cameron]
Properties don't seem to be sets, because different properties can have the same set [Lewis]
Accidentally coextensive properties come apart when we include their possible instances [Lewis]
If a property is relative, such as being a father or son, then set membership seems relative too [Lewis]
Trilateral and triangular seem to be coextensive sets in all possible worlds [Lewis]
I believe in properties, which are sets of possible individuals [Lewis]
It would be easiest to take a property as the set of its instances [Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
You must accept primitive similarity to like tropes, but tropes give a good account of it [Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Tropes need a similarity primitive, so they cannot be used to explain similarity [Lewis]
Trope theory (unlike universals) needs a primitive notion of being duplicates [Lewis]
Trope theory needs a primitive notion for what unites some tropes [Lewis]
8. Modes of Existence / D. Universals / 1. Universals
Universals recur, are multiply located, wholly present, make things overlap, and are held in common [Lewis]
If particles were just made of universals, similar particles would be the same particle [Lewis]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Universals aren't parts of things, because that relationship is transitive, and universals need not be [Lewis]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
We can accept criteria of distinctness and persistence, without making the counterfactual claims [Mackie,P on Wiggins]
Activity individuates natural things, functions do artefacts, and intentions do artworks [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The idea of 'thisness' is better expressed with designation/predication and particular/universal [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
A sortal essence is a thing's principle of individuation [Wiggins, by Mackie,P]
Wiggins's sortal essentialism rests on a thing's principle of individuation [Wiggins, by Mackie,P]
The evening star is the same planet but not the same star as the morning star, since it is not a star [Wiggins]
'Sortalism' says parts only compose a whole if it falls under a sort or kind [Wiggins, by Hossack]
Identity a=b is only possible with some concept to give persistence and existence conditions [Wiggins, by Strawson,P]
A thing is necessarily its highest sortal kind, which entails an essential constitution [Wiggins, by Strawson,P]
Many predicates are purely generic, or pure determiners, rather than sortals [Wiggins]
The possibility of a property needs an essential sortal concept to conceive it [Wiggins]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Objects can only coincide if they are of different kinds; trees can't coincide with other trees [Wiggins, by Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Is the Pope's crown one crown, if it is made of many crowns? [Wiggins]
Boundaries are not crucial to mountains, so they are determinate without a determinate extent [Wiggins]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Identity is an atemporal relation, but composition is relative to times [Wiggins, by Sider]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
If I destroy an item, I do not destroy each part of it [Wiggins]
Mereological composition is unrestricted: any class of things has a mereological sum [Lewis]
There are no restrictions on composition, because they would be vague, and composition can't be vague [Lewis, by Sider]
9. Objects / D. Essence of Objects / 3. Individual Essences
We can forget about individual or particularized essences [Wiggins]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
An essential property is one possessed by all counterparts [Lewis, by Elder]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Essences are not explanations, but individuations [Wiggins]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essentialism is best represented as a predicate-modifier: □(a exists → a is F) [Wiggins, by Mackie,P]
9. Objects / D. Essence of Objects / 13. Nominal Essence
The nominal essence is the idea behind a name used for sorting [Wiggins]
9. Objects / E. Objects over Time / 1. Objects over Time
A thing 'perdures' if it has separate temporal parts, and 'endures' if it is wholly present at different times [Lewis]
9. Objects / E. Objects over Time / 2. Objects that Change
Properties cannot be relations to times, if there are temporary properties which are intrinsic [Lewis, by Sider]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
Endurance is the wrong account, because things change intrinsic properties like shape [Lewis]
There are three responses to the problem that intrinsic shapes do not endure [Lewis]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
It is easier to go from horses to horse-stages than from horse-stages to horses [Wiggins]
9. Objects / E. Objects over Time / 9. Ship of Theseus
The question is not what gets the title 'Theseus' Ship', but what is identical with the original [Wiggins]
9. Objects / E. Objects over Time / 12. Origin as Essential
I can ask questions which create a context in which origin ceases to be essential [Lewis]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity over a time and at a time aren't different concepts [Wiggins]
Hesperus=Hesperus, and Phosphorus=Hesperus, so necessarily Phosphorus=Hesperus [Wiggins]
9. Objects / F. Identity among Objects / 2. Defining Identity
The formal properties of identity are reflexivity and Leibniz's Law [Wiggins]
9. Objects / F. Identity among Objects / 3. Relative Identity
Relative Identity is incompatible with the Indiscernibility of Identicals [Wiggins, by Strawson,P]
Relativity of Identity makes identity entirely depend on a category [Wiggins]
To identify two items, we must have a common sort for them [Wiggins]
9. Objects / F. Identity among Objects / 5. Self-Identity
Identity is simple - absolutely everything is self-identical, and nothing is identical to another thing [Lewis]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things can never be identical, so there is no problem [Lewis]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Substitutivity, and hence most reasoning, needs Leibniz's Law [Wiggins]
Do both 'same f as' and '=' support Leibniz's Law? [Wiggins]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
The impossible can be imagined as long as it is a bit vague [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
There are no free-floating possibilia; they have mates in a world, giving them extrinsic properties [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Possible worlds can contain contradictions if such worlds are seen as fictions [Lewis]
On mountains or in worlds, reporting contradictions is contradictory, so no such truths can be reported [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
For me, all worlds are equal, with each being actual relative to itself [Lewis]
For Lewis there is no real possibility, since all possibilities are actual [Oderberg on Lewis]
Lewis posits possible worlds just as Quine says that physics needs numbers and sets [Lewis, by Sider]
If possible worlds really exist, then they are part of actuality [Sider on Lewis]
A world is a maximal mereological sum of spatiotemporally interrelated things [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Possible worlds rest on the objects about which we have suppositions [Wiggins]
Lewis rejects actualism because he identifies properties with sets [Lewis, by Stalnaker]
Ersatzers say we have one world, and abstract representations of how it might have been [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Ersatz worlds represent either through language, or by models, or magically [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Linguistic possible worlds need a complete supply of unique names for each thing [Lewis]
Maximal consistency for a world seems a modal distinction, concerning what could be true together [Lewis]
Linguistic possible worlds have problems of inconsistencies, no indiscernibles, and vocabulary [Lewis]
Not every story corresponds to a possible world [Wiggins]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If sets exist, then defining worlds as proposition sets implies an odd distinction between existing and actual [Jacquette on Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The counterpart relation is sortal-relative, so objects need not be a certain way [Lewis, by Merricks]
A counterpart in a possible world is sufficiently similar, and more similar than anything else [Lewis, by Mautner]
Why should statements about what my 'counterpart' could have done interest me? [Mautner on Lewis]
In counterpart theory 'Humphrey' doesn't name one being, but a mereological sum of many beings [Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Extreme haecceitists could say I might have been a poached egg, but it is too remote to consider [Lewis, by Mackie,P]
Haecceitism implies de re differences but qualitative identity [Lewis]
Extreme haecceitism says you might possibly be a poached egg [Lewis]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
General causal theories of knowledge are refuted by mathematics [Lewis]
14. Science / C. Induction / 2. Aims of Induction
Induction is just reasonable methods of inferring the unobserved from the observed [Lewis]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
To just expect unexamined emeralds to be grue would be totally unreasonable [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
An explanation tells us how an event was caused [Lewis]
Often explanaton seeks fundamental laws, rather than causal histories [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Asking 'what is it?' nicely points us to the persistence of a continuing entity [Wiggins]
14. Science / D. Explanation / 2. Types of Explanation / l. Probabilistic explanations
If the well-ordering of a pack of cards was by shuffling, the explanation would make it more surprising [Lewis]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The mind conceptualizes objects; yet objects impinge upon the mind [Wiggins]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
We can use 'concept' for the reference, and 'conception' for sense [Wiggins]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstraction is usually explained either by example, or conflation, or abstraction, or negatively [Lewis]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The Way of Abstraction says an incomplete description of a concrete entity is the complete abstraction [Lewis]
18. Thought / E. Abstraction / 4. Abstracta by Example
The Way of Example compares donkeys and numbers, but what is the difference, and what are numbers? [Lewis]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
Abstracta can be causal: sets can be causes or effects; there can be universal effects; events may be sets [Lewis]
If abstractions are non-spatial, then both sets and universals seem to have locations [Lewis]
If universals or tropes are parts of things, then abstraction picks out those parts [Lewis]
If we can abstract the extrinsic relations and features of objects, abstraction isn't universals or tropes [Lewis]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
The abstract direction of a line is the equivalence class of it and all lines parallel to it [Lewis]
For most sets, the concept of equivalence is too artificial to explain abstraction [Lewis]
18. Thought / E. Abstraction / 8. Abstractionism Critique
We can't account for an abstraction as 'from' something if the something doesn't exist [Lewis]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
A particular functional role is what gives content to a thought [Lewis]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
A proposition is a set of entire possible worlds which instantiate a particular property [Lewis]
A proposition is the property of being a possible world where it holds true [Lewis]
Propositions can't have syntactic structure if they are just sets of worlds [Lewis]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Lawlike propensities are enough to individuate natural kinds [Wiggins]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causation is when at the closest world without the cause, there is no effect either [Lewis]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
It is quite implausible that the future is unreal, as that would terminate everything [Lewis]