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- W4244585239 abstract "Abstract Concerns a problem posed, but not solved, by Frege in part III of his Grundgesetze. As a preliminary to defining ‘real number’, Frege attempts to analyse the notion of a quantitative domain (e.g. that of distances or of masses). He was unaware of the previous attempt of Otto Holder to do this; it is remarked how much weaker Frege's assumptions were in deriving theorems than Holder's. Frege deals with groups on which there is a right‐invariant semilinear ordering, although he does not use this terminology. He is uncertain whether it can be deduced that the ordering is also left‐invariant, and proves as much as possible without invoking the assumption that it is. The independence proof, due to Dr Peter Neumann, establishes that it could not be deduced." @default.
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- W4244585239 date "1996-01-25" @default.
- W4244585239 modified "2023-09-27" @default.
- W4244585239 title "On a Question of Frege's About Right‐Ordered Groups" @default.
- W4244585239 doi "https://doi.org/10.1093/019823628x.003.0003" @default.
- W4244585239 hasPublicationYear "1996" @default.
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