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All the ideas for 'Abstract Objects: a Case Study', 'The Possibility of Metaphysics' and 'Parts'

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140 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the mapping of possibilities [Lowe, by Mumford]
Science needs metaphysics to weed out its presuppositions [Lowe, by Hofweber]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Only metaphysics can decide whether identity survives through change [Lowe]
Metaphysics tells us what there could be, rather than what there is [Lowe]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analytic philosophers may prefer formal systems because natural language is such mess [Simons]
2. Reason / D. Definition / 12. Paraphrase
How can a theory of meaning show the ontological commitments of two paraphrases of one idea? [Lowe]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Maybe facts are just true propositions [Lowe]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
One-to-one correspondence would need countable, individuable items [Lowe]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a 'number of things', not a 'collection', because nothing actually collects the members [Lowe]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
I don't believe in the empty set, because (lacking members) it lacks identity-conditions [Lowe]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Classical mereology doesn't apply well to the objects around us [Simons]
Complement: the rest of the Universe apart from some individual, written x-bar [Simons]
Criticisms of mereology: parts? transitivity? sums? identity? four-dimensional? [Simons]
A 'part' has different meanings for individuals, classes, and masses [Simons]
4. Formal Logic / G. Formal Mereology / 2. Terminology of Mereology
Proper or improper part: x < y, 'x is (a) part of y' [Simons]
Disjoint: two individuals are disjoint iff they do not overlap, written 'x | y' [Simons]
Difference: the difference of individuals is the remainder of an overlap, written 'x - y' [Simons]
Overlap: two parts overlap iff they have a part in common, expressed as 'x o y' [Simons]
Product: the product of two individuals is the sum of all of their overlaps, written 'x · y' [Simons]
Sum: the sum of individuals is what is overlapped if either of them are, written 'x + y' [Simons]
General sum: the sum of objects satisfying some predicate, written σx(Fx) [Simons]
General product: the nucleus of all objects satisfying a predicate, written πx(Fx) [Simons]
Universe: the mereological sum of all objects whatever, written 'U' [Simons]
Atom: an individual with no proper parts, written 'At x' [Simons]
Dissective: stuff is dissective if parts of the stuff are always the stuff [Simons]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Two standard formalisations of part-whole theory are the Calculus of Individuals, and Mereology [Simons]
The part-relation is transitive and asymmetric (and thus irreflexive) [Simons]
Each wheel is part of a car, but the four wheels are not a further part [Simons]
Classical mereology doesn't handle temporal or modal notions very well [Simons]
4. Formal Logic / G. Formal Mereology / 4. Groups
A 'group' is a collection with a condition which constitutes their being united [Simons]
The same members may form two groups [Simons]
'The wolves' are the matter of 'the pack'; the latter is a group, with different identity conditions [Simons]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Philosophy is stuck on the Fregean view that an individual is anything with a proper name [Simons]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
It is better if the existential quantifier refers to 'something', rather than a 'thing' which needs individuation [Lowe]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Some natural languages don't distinguish between singular and plural [Simons]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Numbers are universals, being sets whose instances are sets of appropriate cardinality [Lowe]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Simple counting is more basic than spotting that one-to-one correlation makes sets equinumerous [Lowe]
Fs and Gs are identical in number if they one-to-one correlate with one another [Lowe]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Sets are instances of numbers (rather than 'collections'); numbers explain sets, not vice versa [Lowe]
If 2 is a particular, then adding particulars to themselves does nothing, and 2+2=2 [Lowe]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Does the existence of numbers matter, in the way space, time and persons do? [Lowe]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / A. Nature of Existence / 1. Nature of Existence
All possible worlds contain abstracta (e.g. numbers), which means they contain concrete objects [Lowe]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Perhaps possession of causal power is the hallmark of existence (and a reason to deny the void) [Lowe]
7. Existence / B. Change in Existence / 1. Nature of Change
Heraclitus says change is new creation, and Spinoza that it is just phases of the one substance [Lowe]
Four-dimensional ontology has no change, since that needs an object, and time to pass [Simons]
There are real relational changes, as well as bogus 'Cambridge changes' [Simons]
7. Existence / B. Change in Existence / 2. Processes
I don't believe in processes [Simons]
Fans of process ontology cheat, since river-stages refer to 'rivers' [Simons]
7. Existence / B. Change in Existence / 3. Moments
Moments are things like smiles or skids, which are founded on other things [Simons]
Moving disturbances are are moments which continuously change their basis [Simons]
A smiling is an event with causes, but the smile is a continuant without causes [Simons]
A wave is maintained by a process, but it isn't a process [Simons]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are changes or non-changes in properties and relations of persisting objects [Lowe]
I do not think there is a general identity condition for events [Simons]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Events are ontologically indispensable for singular causal explanations [Lowe]
Relativity has an ontology of things and events, not on space-time diagrams [Simons]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
Independent objects can exist apart, and maybe even entirely alone [Simons]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Mass nouns admit 'much' and 'a little', and resist 'many' and 'few'. [Simons]
Mass terms (unlike plurals) are used with indifference to whether they can exist in units [Simons]
Gold is not its atoms, because the atoms must be all gold, but gold contains neutrons [Simons]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
Mixtures disappear if nearly all of the mixture is one ingredient [Simons]
A mixture can have different qualities from its ingredients. [Simons]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Are facts wholly abstract, or can they contain some concrete constituents? [Lowe]
Facts cannot be wholly abstract if they enter into causal relations [Lowe]
The problem with the structured complex view of facts is what binds the constituents [Lowe]
It is whimsical to try to count facts - how many facts did I learn before breakfast? [Lowe]
7. Existence / D. Theories of Reality / 8. Facts / e. Facts rejected
Facts are needed for truth-making and causation, but they seem to lack identity criteria [Lowe]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
Two of the main rivals for the foundations of ontology are substances, and facts or states-of-affairs [Lowe]
Some abstractions exist despite lacking causal powers, because explanation needs them [Lowe]
7. Existence / E. Categories / 1. Categories
Ontological categories are not natural kinds: the latter can only be distinguished using the former [Lowe]
7. Existence / E. Categories / 3. Proposed Categories
The top division of categories is either abstract/concrete, or universal/particular, or necessary/contingent [Lowe]
Lowe divides things into universals and particulars, then kinds and properties, and abstract/concrete [Lowe, by Westerhoff]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Is 'the Thames is broad in London' relational, or adverbial, or segmental? [Lowe]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
I prefer 'modes' to 'tropes', because it emphasises their dependence [Lowe]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Why cannot a trope float off and join another bundle? [Lowe]
Tropes cannot have clear identity-conditions, so they are not objects [Lowe]
How can tropes depend on objects for their identity, if objects are just bundles of tropes? [Lowe]
Does a ball snug in plaster have one trope, or two which coincide? [Lowe]
8. Modes of Existence / D. Universals / 1. Universals
Sortal terms for universals involve a substance, whereas adjectival terms do not [Lowe]
8. Modes of Existence / D. Universals / 2. Need for Universals
Real universals are needed to explain laws of nature [Lowe]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Particulars are instantiations, and universals are instantiables [Lowe]
9. Objects / A. Existence of Objects / 1. Physical Objects
To be an object at all requires identity-conditions [Lowe]
Our commitment to the existence of objects should depend on their explanatory value [Lowe]
Objects are entities with full identity-conditions, but there are entities other than objects [Lowe]
Perhaps concrete objects are entities which are in space-time and subject to causality [Lowe]
9. Objects / A. Existence of Objects / 3. Objects in Thought
An object is an entity which has identity-conditions [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Some things (such as electrons) can be countable, while lacking proper identity [Lowe]
To individuate something we must pick it out, but also know its limits of variation [Simons]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Criteria of identity cannot individuate objects, because they are shared among different types [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Diversity of two tigers is their difference in space-time; difference of matter is a consequence [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Individuation principles identify what kind it is; identity criteria distinguish items of the same kind [Lowe]
Sortal nouns for continuants tell you their continuance- and cessation-conditions [Simons]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
A whole requires some unique relation which binds together all of the parts [Simons]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
A 'substance' is an object which doesn't depend for existence on other objects [Lowe]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
Does Tibbles remain the same cat when it loses its tail? [Simons]
Tibbles isn't Tib-plus-tail, because Tibbles can survive its loss, but the sum can't [Simons]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Without extensional mereology two objects can occupy the same position [Simons]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Composition is asymmetric and transitive [Simons]
The identity of composite objects isn't fixed by original composition, because how do you identify the origin? [Lowe]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
A hand constitutes a fist (when clenched), but a fist is not composed of an augmented hand [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
We say 'b is part of a', 'b is a part of a', 'b are a part of a', or 'b are parts of a'. [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Classical mereology says there are 'sums', for whose existence there is no other evidence [Simons]
'Mereological extensionality' says objects with the same parts are identical [Simons]
If there are c atoms, this gives 2^c - 1 individuals, so there can't be just 2 or 12 individuals [Simons]
Sums are more plausible for pluralities and masses than they are for individuals [Simons]
Sums of things in different categories are found within philosophy. [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
The wholeness of a melody seems conventional, but of an explosion it seems natural [Simons]
9. Objects / D. Essence of Objects / 5. Essence as Kind
Objects have their essential properties because of the kind of objects they are [Simons]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
We must distinguish the de dicto 'must' of propositions from the de re 'must' of essence [Simons]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Original parts are the best candidates for being essential to artefacts [Simons]
9. Objects / D. Essence of Objects / 12. Essential Parts
An essential part of an essential part is an essential part of the whole [Simons]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
An object 'endures' if it is always wholly present, and 'perdures' if different parts exist at different times [Lowe]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
How can you identify temporal parts of tomatoes without referring to tomatoes? [Lowe]
Four dimensional-objects are stranger than most people think [Simons]
9. Objects / E. Objects over Time / 7. Intermittent Objects
Intermittent objects would be respectable if they occurred in nature, as well as in artefacts [Simons]
Objects like chess games, with gaps in them, are thereby less unified [Simons]
9. Objects / E. Objects over Time / 9. Ship of Theseus
An entrepreneur and a museum curator would each be happy with their ship at the end [Simons]
The 'best candidate' theories mistakenly assume there is one answer to 'Which is the real ship?' [Simons]
9. Objects / E. Objects over Time / 12. Origin as Essential
The zygote is an essential initial part, for a sexually reproduced organism [Simons]
9. Objects / F. Identity among Objects / 3. Relative Identity
A clear idea of the kind of an object must precede a criterion of identity for it [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
One view is that two objects of the same type are only distinguished by differing in matter [Lowe]
10. Modality / A. Necessity / 3. Types of Necessity
'Conceptual' necessity is narrow logical necessity, true because of concepts and logical laws [Lowe]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is logical necessity 'broadly construed' [Lowe, by Lynch/Glasgow]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity can be 'strict' (laws), or 'narrow' (laws and definitions), or 'broad' (all logical worlds) [Lowe]
10. Modality / B. Possibility / 1. Possibility
The metaphysically possible is what acceptable principles and categories will permit [Lowe]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Does every abstract possible world exist in every possible world? [Lowe]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
The limits of change for an individual depend on the kind of individual [Simons]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
While space may just be appearance, time and change can't be, because the appearances change [Lowe]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Properties or qualities are essentially adjectival, not objectual [Lowe]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
The idea that Cartesian souls are made of some ghostly 'immaterial' stuff is quite unwarranted [Lowe]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstractions are non-spatial, or dependent, or derived from concepts [Lowe]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
You can think of a direction without a line, but a direction existing with no lines is inconceivable [Lowe]
20. Action / A. Definition of Action / 2. Duration of an Action
With activities if you are doing it you've done it, with performances you must finish to have done it [Simons]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
One false note doesn't make it a performance of a different work [Simons]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
To cite facts as the elements in causation is to confuse states of affairs with states of objects [Lowe]
27. Natural Reality / C. Space / 3. Points in Space
Points are limits of parts of space, so parts of space cannot be aggregates of them [Lowe]