Combining Texts

All the ideas for 'Individuals without Sortals', 'The Metaphysics of Properties' and 'Number Determiners, Numbers, Arithmetic'

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54 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor has more content if it says believe only in what is causal [Oliver]
3. Truth / B. Truthmakers / 7. Making Modal Truths
Necessary truths seem to all have the same truth-maker [Oliver]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Slingshot Argument: seems to prove that all sentences have the same truth-maker [Oliver]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
If counting needs a sortal, what of things which fall under two sortals? [Ayers]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events do not have natural boundaries, and we have to set them [Ayers]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / c. Commitment of predicates
Accepting properties by ontological commitment tells you very little about them [Oliver]
Reference is not the only way for a predicate to have ontological commitment [Oliver]
8. Modes of Existence / B. Properties / 1. Nature of Properties
There are four conditions defining the relations between particulars and properties [Oliver]
If properties are sui generis, are they abstract or concrete? [Oliver]
8. Modes of Existence / B. Properties / 2. Need for Properties
There are just as many properties as the laws require [Oliver]
8. Modes of Existence / B. Properties / 3. Types of Properties
We have four options, depending whether particulars and properties are sui generis or constructions [Oliver]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
The expressions with properties as their meanings are predicates and abstract singular terms [Oliver]
There are five main semantic theories for properties [Oliver]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are not properties, since they can't be instantiated twice [Oliver]
The property of redness is the maximal set of the tropes of exactly similar redness [Oliver]
The orthodox view does not allow for uninstantiated tropes [Oliver]
Maybe concrete particulars are mereological wholes of abstract particulars [Oliver]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Tropes can overlap, and shouldn't be splittable into parts [Oliver]
8. Modes of Existence / D. Universals / 1. Universals
'Structural universals' methane and butane are made of the same universals, carbon and hydrogen [Oliver]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Located universals are wholly present in many places, and two can be in the same place [Oliver]
Aristotle's instantiated universals cannot account for properties of abstract objects [Oliver]
If universals ground similarities, what about uniquely instantiated universals? [Oliver]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated universals seem to exist if they themselves have properties [Oliver]
Uninstantiated properties are useful in philosophy [Oliver]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Instantiation is set-membership [Oliver]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism can reject abstractions, or universals, or sets [Oliver]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
To express borderline cases of objects, you need the concept of an 'object' [Ayers]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Speakers need the very general category of a thing, if they are to think about it [Ayers]
We use sortals to classify physical objects by the nature and origin of their unity [Ayers]
Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers]
Recognising continuity is separate from sortals, and must precede their use [Ayers]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Could the same matter have more than one form or principle of unity? [Ayers]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Things can't be fusions of universals, because two things could then be one thing [Oliver]
Abstract sets of universals can't be bundled to make concrete things [Oliver]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers]
9. Objects / D. Essence of Objects / 5. Essence as Kind
Sortals basically apply to individuals [Ayers]
9. Objects / E. Objects over Time / 5. Temporal Parts
You can't have the concept of a 'stage' if you lack the concept of an object [Ayers]
Temporal 'parts' cannot be separated or rearranged [Ayers]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers]
9. Objects / F. Identity among Objects / 3. Relative Identity
If diachronic identities need covering concepts, why not synchronic identities too? [Ayers]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Science is modally committed, to disposition, causation and law [Oliver]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Conceptual priority is barely intelligible [Oliver]