Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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II 87
Connectives/Gentzen/Brandom: connectives are defined according to their inferential role.
(Epoch-making): Definition Introduction rules: sufficient conditions for the use of the connective - Definition elimination rules: necessary consequences of the use (of the connective).
E.g. in order to define the inferential role of "&" in Boole you indicate that everyone who is defined on p and q thus has to be regarded as defined on p&q as well - the first part without the connective specifies the circumstances, i.e. the sets of the premises. >Cf. >Logical constants.
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II 88
Dummett transferred this to sentences, singular terms and predicates - it may be that we do not overlook all connections - conservative extension: by these two rules. Dummett

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