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Ideas of Keith Hossack, by Text

[British, fl. 2007, Lecturer at Birkbeck College, London.]

2000 Plurals and Complexes
1 p.411 A thought can refer to many things, but only predicate a universal and affirm a state of affairs
1 p.412 Complex particulars are either masses, or composites, or sets
1 p.413 Leibniz's Law argues against atomism - water is wet, unlike water molecules
1 p.413 Plural reference will refer to complex facts without postulating complex things
2 p.414 We are committed to a 'group' of children, if they are sitting in a circle
2 p.415 Plural reference is just an abbreviation when properties are distributive, but not otherwise
3 p.416 Plural definite descriptions pick out the largest class of things that fit the description
4 p.420 A plural language gives a single comprehensive induction axiom for arithmetic
4 p.420 Plural language can discuss without inconsistency things that are not members of themselves
4 p.421 A plural comprehension principle says there are some things one of which meets some condition
4 n8 p.421 The Axiom of Choice is a non-logical principle of set-theory
5 p.423 Extensional mereology needs two definitions and two axioms
7 p.427 The relation of composition is indispensable to the part-whole relation for individuals
8 p.429 In arithmetic singularists need sets as the instantiator of numeric properties
8 p.429 The theory of the transfinite needs the ordinal numbers
8 p.430 The fusion of five rectangles can decompose into more than five parts that are rectangles
9 p.432 I take the real numbers to be just lengths
9 p.432 We could ignore space, and just talk of the shape of matter
10 p.433 Set theory is the science of infinity
10 p.436 The Axiom of Choice guarantees a one-one correspondence from sets to ordinals
10 p.436 Maybe we reduce sets to ordinals, rather than the other way round