The New Encyclopædia Britannica: MacropædiaEncyclopædia Britannica, 1993 This encyclopedia includes a two-volume index, a 12-volume Micropaedia (Ready reference), a 17-volume Macropaedia (Knowledge in depth), and the Propaedia. |
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Seite 234
... theorem by any wff is a theorem ( rule of substitution ) . 2. If a and ( aẞ ) are theorems , then ẞ is a theorem ( rule of detachment , or modus ponens ) . Relative to a given criterion of validity , an axiomatic sys- tem is sound if every ...
... theorem by any wff is a theorem ( rule of substitution ) . 2. If a and ( aẞ ) are theorems , then ẞ is a theorem ( rule of detachment , or modus ponens ) . Relative to a given criterion of validity , an axiomatic sys- tem is sound if every ...
Seite 247
... theorem or not . In another sense , decidability can refer to a single closed sentence : the sentence is called undecidable in a formal system if neither it nor its negation is a theorem . Using this concept , Gödel's incompleteness theorem ...
... theorem or not . In another sense , decidability can refer to a single closed sentence : the sentence is called undecidable in a formal system if neither it nor its negation is a theorem . Using this concept , Gödel's incompleteness theorem ...
Seite 248
... theorems , then the whole conjunction is also a theorem . The consistency of the propositional calculus ( its free- dom from contradiction ) is more or less obvious , because it can easily be checked that all its axioms are valid - i.e ...
... theorems , then the whole conjunction is also a theorem . The consistency of the propositional calculus ( its free- dom from contradiction ) is more or less obvious , because it can easily be checked that all its axioms are valid - i.e ...
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