A SET, according to Cantor, is "any collection .., into a whole of definite, well-distinguished objects... of our intuition or thought.
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The phrase 'The iterative conception of sets' conjures up a picture of a particular set- theoretic universe – the cumulative hierarchy – and the constant ...
The iterative conception of set which holds that sets are formed in stages by collecting sets available at previous stages.
Jul 26, 2023 · (Informal) The iterative conception of set holds that sets are formed in stages, and new sets are formed from old by collecting together ...
Dec 4, 2020 · While the iterative conception requires that every set be "formed" from antecedently available objects, the predicative conception requires that ...
For the constructivist is interested in using this notion to explicate the iterative conception of set, according to which any previously formed sets form a set ...
I intend to raise here some questions about what is nowadays called the 'iterative conception of set'. Examination of the literature will show that it is ...
Mar 24, 2022 · George Boolos, in his article 'The Iterative Conception of Set' provides a formal theory of stages (using primitives for sets, stages, ...
Broadening the Iterative Conception of Set.Mark F. Sharlow - 2001 - Notre Dame Journal of Formal Logic 42 (3):149-170.
More precisely: Axiom (Extensionality). If sets A and B have the same elements, then A and B are the same set.