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Single Idea 14232

[filed under theme 5. Theory of Logic / G. Quantification / 6. Plural Quantification ]

Full Idea

It is quite standard to interpret sentences of the form 'There are Fs' using a singular quantifier and a singular predicate, but this tradition may be mistaken.

Gist of Idea

We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong

Source

David Liggins (Nihilism without Self-Contradiction [2008], 8)

Book Ref

'Being: Developments in Contemporary Metaphysics', ed/tr. Le Poidevin,R [CUP 2008], p.192


A Reaction

Liggins is clearly in support of the use of plural quantification, referring to 'there are some xs such that'.


The 12 ideas from David Liggins

We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
We should always apply someone's theory of meaning to their own utterances [Liggins]
Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
Truthmakers for existence is fine; otherwise maybe restrict it to synthetic truths? [Liggins]
Either p is true or not-p is true, so something is true, so something exists [Liggins]
Necessities supervene on everything, but don't depend on everything [Liggins]
Value, constitution and realisation are non-causal dependences that explain [Liggins]
If explanations track dependence, then 'determinative' explanations seem to exist [Liggins]
'Because' can signal an inference rather than an explanation [Liggins]
Truth-maker theory can't cope with non-causal dependence [Liggins]
The dependence of {Socrates} on Socrates involves a set and a philosopher, not facts [Liggins]
Non-causal dependence is at present only dimly understood [Liggins]