Abstract
The original Brouwerian counter examples were algorithmic in nature; after the introduction of choice sequences, Brouwer devised a version which did not depend on algorithms. This is the origin of the ‘creating subject’ technique. The method allowed stronger refutations of classical principles. Here it is used to show that ‘negative dense’ subsets of the continuum are indecomposable.
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van Dalen, D. From Brouwerian Counter Examples to the Creating Subject. Studia Logica 62, 305–314 (1999). https://doi.org/10.1023/A:1026411905257
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DOI: https://doi.org/10.1023/A:1026411905257