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All the ideas for 'The Basing Relation', 'Nominalism and Substitutional Quantifiers' and 'Propositions'

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32 ideas

2. Reason / E. Argument / 1. Argument
Arguers often turn the opponent's modus ponens into their own modus tollens [Merricks]
3. Truth / F. Semantic Truth / 2. Semantic Truth
'Snow is white' only contingently expresses the proposition that snow is white [Merricks]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Simple Quantified Modal Logc doesn't work, because the Converse Barcan is a theorem [Merricks]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Converse Barcan implies 'everything exists necessarily' is a consequence of 'necessarily, everything exists' [Merricks]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 1. Quantification
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Sentence logic maps truth values; predicate logic maps objects and sets [Merricks]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
9. Objects / A. Existence of Objects / 3. Objects in Thought
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
9. Objects / E. Objects over Time / 12. Origin as Essential
In twinning, one person has the same origin as another person [Merricks]
9. Objects / F. Identity among Objects / 2. Defining Identity
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]
The basing relation of a reason to a belief should both support and explain the belief [Neta]
19. Language / A. Nature of Meaning / 1. Meaning
I don't accept that if a proposition is directly about an entity, it has a relation to the entity [Merricks]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions depend on context [Merricks]
19. Language / D. Propositions / 1. Propositions
Propositions are standardly treated as possible worlds, or as structured [Merricks]
'Cicero is an orator' represents the same situation as 'Tully is an orator', so they are one proposition [Merricks]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are necessary existents which essentially (but inexplicably) represent things [Merricks]
True propositions existed prior to their being thought, and might never be thought [Merricks]
The standard view of propositions says they never change their truth-value [Merricks]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions can be 'about' an entity, but that doesn't make the entity a constituent of it [Merricks]
Early Russell says a proposition is identical with its truthmaking state of affairs [Merricks]
19. Language / D. Propositions / 5. Unity of Propositions
Unity of the proposition questions: what unites them? can the same constituents make different ones? [Merricks]
We want to explain not just what unites the constituents, but what unites them into a proposition [Merricks]