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Some specific features of the construction of the language of logic in Frege's Basic laws of arithmetics: context and/or compositionality?

Some specific features of the construction of the language of logic in Frege's Basic laws of arithmetics: context and/or compositionality?

Abstract

The paper contains some observations concerning the implementation of the principle of compositionality and the principle of context in the language of logic exposed in the Frege's opus magnum, The Basic Laws of Arithmetic. The work is based on the partial formal reconstruction of the language which had been con-structed in the mentioned volume. The principal conclusion is that Frege is not committed, in the framework of this treatise, exclusively to one of the two principles. Rather, some of the means he uses might be de-scribed as compositional, while some other as contextual, in different respects and on different steps of con-structing the names of his conceptual notation.

В статье излагаются некоторые наблюдения о реализации принципов композициональности и контек-стуальности в языке логики, представленном в главном труде Г. Фреге, "Основные законы арифме-тики". Это производится на основе частичной формальной реконструкции языка логики, конструиру-емого в указанной работе. Главный результат состоит в том, что в этой работе Фреге не придержива-ется какого-то одного из этих принципов, но в разных аспектах и на разных этапах построения имён своей системы записи одни из используемых им средств могут характеризоваться как композицио-нальные, а другие - как контекстуальные.

Keywords

Frege; The Basic laws of Arithmetics; context; compositionality, Фреге; "Основные законы арифметики"; контекстуальность; композициональность

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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