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Full Idea
A 'sequence' of objects is like a set of objects, except that, unlike a set, the order of the objects is important when dealing with sequences. ...An infinite sequence satisfies 'x2 is purple' if and only if the second member of the sequence is purple.
Gist of Idea
A 'sequence' of objects is an order set of them
Source
Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4)
Book Ref
Kirkham,Richard L.: 'Theories of Truth: a Critical Introduction' [MIT 1995], p.154
A Reaction
This explains why Tarski needed set theory in his metalanguage.
| 18369 | There are at least fourteen candidates for truth-bearers [Kirkham] |
| 19318 | A 'sequence' of objects is an order set of them [Kirkham] |
| 19319 | If one sequence satisfies a sentence, they all do [Kirkham] |
| 19315 | In quantified language the components of complex sentences may not be sentences [Kirkham] |
| 19317 | An open sentence is satisfied if the object possess that property [Kirkham] |
| 19320 | If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham] |
| 19322 | Why can there not be disjunctive, conditional and negative facts? [Kirkham] |