Multiple generality (relevant) Flashcards

1
Q

What does multiple generality refer to?

A

Cases of the use of more than one quantifier in a single sentence

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2
Q

What are many english sentences using multiple quantifier expressions?

A

Ambiguous

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3
Q

What can these ambiguities lead to?

A

Quantifier shift fallacies

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4
Q

One-place predicates express

A

Properties

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5
Q

Two-place predicates express

A

Relations

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6
Q

What is an equivalence relation?

A

One which is reflexive, symmetric and transitive

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7
Q

Identity (numerical) is an…

A

Equivalence relation, but one in which everything stands to itself and to nothing else

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8
Q

What is a crucial feature of identity (numerical)?

A

Leibniz’s Law

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9
Q

Leibniz law

A

If a = b, then every property of a is a property of b, and vice versa

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10
Q

Numerical identity vs qualitative identity

A

Qualitative is just sameness in certain respects, numerical identity is in the strict sense of being the same thing

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11
Q

Why is identity a two-place relation?

A

The statement: ‘x is identical with y,’ is a two-place predicate

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