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Page 229
... axiom schema an axiom schema is appropriate , for it is a schema for generating axioms - one for each choice of P ( x ) . Axioms for compounding sets . Although the third ax- iom schema has a constructive quality , further means of ...
... axiom schema an axiom schema is appropriate , for it is a schema for generating axioms - one for each choice of P ( x ) . Axioms for compounding sets . Although the third ax- iom schema has a constructive quality , further means of ...
Page 230
... axiom schema then yields the ordinal that follows all of these in the same sense in which w follows the finite ... axiom of replacement makes possible the extension of the counting process as far beyond the natural numbers as one chooses ...
... axiom schema then yields the ordinal that follows all of these in the same sense in which w follows the finite ... axiom of replacement makes possible the extension of the counting process as far beyond the natural numbers as one chooses ...
Page 231
... axioms : statement . ( 11 ) Axiom of extension . If A and B are classes and if , for all ( sets ) x , x ɛ A if and only if x = B , then A = = B. ( 12 ) Same as axiom ( 2 ) . ( 13 ) Axiom schema for class formation . If P ( x ) is a ...
... axioms : statement . ( 11 ) Axiom of extension . If A and B are classes and if , for all ( sets ) x , x ɛ A if and only if x = B , then A = = B. ( 12 ) Same as axiom ( 2 ) . ( 13 ) Axiom schema for class formation . If P ( x ) is a ...
Contents
SÃO PAULO | 3 |
SCANDINAVIAN LITERATURE | 10 |
The History of SCIENCE | 32 |
Copyright | |
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