Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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I 132
Theory/Nominalism/strong/weak/stronger/weaker/(s): strong theory: has more consequences - if mathematical entities (mE) are to be dispensed with, a Platonist theory can have no (physical) consequences which a nominalistic (only physical entities entities) does not have.
>Stronger/weaker, >Platonism, >Mathematical entities.
l 159
Equivalence/Platonism/Nominalism/Field: Question: in what sense are Platonist (e.g. "direction 1 = direction 2") and nominalistic statement (c1 is parallel to c2) equivalent?
Problem: if there are no directions, the second cannot be a consequence of the first.
>Ontology.
---
III 12
Nominalism/Field/N.B.: we will not claim N* (without mathematical entities), but the stronger N.
III 34
Nominalism/Field: is compatible with the assumption of space-time points and empty regions.
Nominalism pro substantivalism.
>Substantivalism.
III 36
Regions/Points/Field: Solution for the nominalists:
Individual calculus/Goodman: Regions as sums of points. - But then there are no empty regions. - The region then does not need to be connected or measurable.
>Individual calculus, cf. >Relationism.

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