Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Table
Concepts
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Sc. Camps
Theses I
Theses II

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I (c) 89
Intuitionism/Putnam: here existence is intra-theoretical. E.g. Tarski: "electron refers" is equivalent with "there are electrons". Intuitionistic: there is a description D such that "D is an electron" in B1 is provable. This could be true with appropriate theory, even if there were no electrons.
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II 124f
Intuitionism/PutnamVs: intuitionism takes a strong aprioristic attitude towards mental entities, namely "meaning". Also, there is a platonist ability to capture constructive relations between them.
II 125
Pro Intuitionism: the Loewenheim-paradox does not appear because "existence of a model" means to have a proof method.
>Löwenheim paradox.
Object/meaning/description: objects in constructive mathematics are given by descriptions. These must not be attached with mysterious "glue". Reference is here given by the sense and sense through a verification process, not by truth conditions. There is then no "gap" between theory and objects ((s) truth conditions: when truth conditions are formulated linguistically, the significance could be shifted according to the law by Loewenheim. The procedure is non-linguistical.)

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