Multiple generality (relevant) Flashcards
What does multiple generality refer to?
Cases of the use of more than one quantifier in a single sentence
What are many english sentences using multiple quantifier expressions?
Ambiguous
What can these ambiguities lead to?
Quantifier shift fallacies
One-place predicates express
Properties
Two-place predicates express
Relations
What is an equivalence relation?
One which is reflexive, symmetric and transitive
Identity (numerical) is an…
Equivalence relation, but one in which everything stands to itself and to nothing else
What is a crucial feature of identity (numerical)?
Leibniz’s Law
Leibniz law
If a = b, then every property of a is a property of b, and vice versa
Numerical identity vs qualitative identity
Qualitative is just sameness in certain respects, numerical identity is in the strict sense of being the same thing
Why is identity a two-place relation?
The statement: ‘x is identical with y,’ is a two-place predicate