Combining Texts

All the ideas for 'reports', 'Necessity and Non-Existence' and 'To be is to be the value of a variable..'

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28 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Some sentences depend for their truth on worldly circumstances, and others do not [Fine,K]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Boolos invented plural quantification [Boolos, by Benardete,JA]
7. Existence / A. Nature of Existence / 2. Types of Existence
There are levels of existence, as well as reality; objects exist at the lowest level in which they can function [Fine,K]
7. Existence / D. Theories of Reality / 3. Reality
Bottom level facts are subject to time and world, middle to world but not time, and top to neither [Fine,K]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Tensed and tenseless sentences state two sorts of fact, which belong to two different 'realms' of reality [Fine,K]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
First- and second-order quantifiers are two ways of referring to the same things [Boolos]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Modal features are not part of entities, because they are accounted for by the entity [Fine,K]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
What it is is fixed prior to existence or the object's worldly features [Fine,K]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential features of an object have no relation to how things actually are [Fine,K]
9. Objects / F. Identity among Objects / 5. Self-Identity
Self-identity should have two components, its existence, and its neutral identity with itself [Fine,K]
9. Objects / F. Identity among Objects / 6. Identity between Objects
We would understand identity between objects, even if their existence was impossible [Fine,K]
10. Modality / A. Necessity / 8. Transcendental Necessity
Proper necessary truths hold whatever the circumstances; transcendent truths regardless of circumstances [Fine,K]
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
It is the nature of Socrates to be a man, so necessarily he is a man [Fine,K]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds may be more limited, to how things might actually turn out [Fine,K]
The actual world is a totality of facts, so we also think of possible worlds as totalities [Fine,K]
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
A-theorists tend to reject the tensed/tenseless distinction [Fine,K]
It is said that in the A-theory, all existents and objects must be tensed, as well as the sentences [Fine,K]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
B-theorists say tensed sentences have an unfilled argument-place for a time [Fine,K]