Choice sequences and informal rigour

Synthese 62 (2):217 - 227 (1985)
Abstract
In this paper we discuss a particular example of the passage from the informal, but rigorous description of a concept to the axiomatic formulation of principles holding for the concept; in particular, we look at the principles of continuity and lawlike choice in the theory of lawless sequences. Our discussion also leads to a better understanding of the rôle of the so-called density axiom for lawless sequences.
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DOI 10.1007/BF00486047
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References found in this work BETA
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - In Solomon Feferman, John Dawson & Stephen Kleene (eds.), Journal of Symbolic Logic. Oxford University Press. pp. 176--187.

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Citations of this work BETA
Arguments for the Continuity Principle.Mark van Atten & Dirk van Dalen - 2002 - Bulletin of Symbolic Logic 8 (3):329-347.

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