Matches in SemOpenAlex for { <https://semopenalex.org/work/W2567586281> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2567586281 abstract "During the early 1830s Bernard Bolzano, working in Prague, wrote a manuscript giving a foundational account of numbers and their properties. In the final section of his work he described what he called ‘infinite number expressions’ and ‘measurable numbers’. This work was evidently an attempt to provide an improved proof of the sufficiency of the criterion usually known as the ‘Cauchy criterion’ for the convergence of an infinite sequence. Bolzano had in fact published this criterion four years earlier than Cauchy who, in his work of 1821, made no attempt at a proof. Any such proof required the construction or definition of real numbers and this, in essence, was what Bolzano achieved in his work on measurable numbers. It therefore pre-dates the well-known constructions of Dedekind, Cantor and many others by several decades. Bolzano’s manuscript was partially published in 1962 and more fully published in 1976. We give an account of measurable numbers, the properties Bolzano proved about them and the controversial reception they have prompted since their publication." @default.
- W2567586281 created "2017-01-06" @default.
- W2567586281 creator A5014045739 @default.
- W2567586281 creator A5030474922 @default.
- W2567586281 date "2016-01-01" @default.
- W2567586281 modified "2023-09-23" @default.
- W2567586281 title "Bolzano’s measurable numbers: are they real?" @default.
- W2567586281 cites W2006924282 @default.
- W2567586281 cites W2023349911 @default.
- W2567586281 cites W2027621484 @default.
- W2567586281 cites W2064443024 @default.
- W2567586281 cites W2153905117 @default.
- W2567586281 cites W3047895089 @default.
- W2567586281 cites W4213422036 @default.
- W2567586281 cites W4300196464 @default.
- W2567586281 doi "https://doi.org/10.1007/978-3-319-46615-6_4" @default.
- W2567586281 hasPublicationYear "2016" @default.
- W2567586281 type Work @default.
- W2567586281 sameAs 2567586281 @default.
- W2567586281 citedByCount "3" @default.
- W2567586281 countsByYear W25675862812017 @default.
- W2567586281 countsByYear W25675862812019 @default.
- W2567586281 countsByYear W25675862812021 @default.
- W2567586281 crossrefType "book-chapter" @default.
- W2567586281 hasAuthorship W2567586281A5014045739 @default.
- W2567586281 hasAuthorship W2567586281A5030474922 @default.
- W2567586281 hasBestOaLocation W25675862812 @default.
- W2567586281 hasConcept C105795698 @default.
- W2567586281 hasConcept C106947605 @default.
- W2567586281 hasConcept C118615104 @default.
- W2567586281 hasConcept C134306372 @default.
- W2567586281 hasConcept C144237770 @default.
- W2567586281 hasConcept C154416045 @default.
- W2567586281 hasConcept C182310444 @default.
- W2567586281 hasConcept C199343813 @default.
- W2567586281 hasConcept C2777686260 @default.
- W2567586281 hasConcept C2778112365 @default.
- W2567586281 hasConcept C33923547 @default.
- W2567586281 hasConcept C46875033 @default.
- W2567586281 hasConcept C49344536 @default.
- W2567586281 hasConcept C54355233 @default.
- W2567586281 hasConcept C71924100 @default.
- W2567586281 hasConcept C76449584 @default.
- W2567586281 hasConcept C76835800 @default.
- W2567586281 hasConcept C86803240 @default.
- W2567586281 hasConcept C94020503 @default.
- W2567586281 hasConceptScore W2567586281C105795698 @default.
- W2567586281 hasConceptScore W2567586281C106947605 @default.
- W2567586281 hasConceptScore W2567586281C118615104 @default.
- W2567586281 hasConceptScore W2567586281C134306372 @default.
- W2567586281 hasConceptScore W2567586281C144237770 @default.
- W2567586281 hasConceptScore W2567586281C154416045 @default.
- W2567586281 hasConceptScore W2567586281C182310444 @default.
- W2567586281 hasConceptScore W2567586281C199343813 @default.
- W2567586281 hasConceptScore W2567586281C2777686260 @default.
- W2567586281 hasConceptScore W2567586281C2778112365 @default.
- W2567586281 hasConceptScore W2567586281C33923547 @default.
- W2567586281 hasConceptScore W2567586281C46875033 @default.
- W2567586281 hasConceptScore W2567586281C49344536 @default.
- W2567586281 hasConceptScore W2567586281C54355233 @default.
- W2567586281 hasConceptScore W2567586281C71924100 @default.
- W2567586281 hasConceptScore W2567586281C76449584 @default.
- W2567586281 hasConceptScore W2567586281C76835800 @default.
- W2567586281 hasConceptScore W2567586281C86803240 @default.
- W2567586281 hasConceptScore W2567586281C94020503 @default.
- W2567586281 hasLocation W25675862811 @default.
- W2567586281 hasLocation W25675862812 @default.
- W2567586281 hasOpenAccess W2567586281 @default.
- W2567586281 hasPrimaryLocation W25675862811 @default.
- W2567586281 hasRelatedWork W150913681 @default.
- W2567586281 hasRelatedWork W1619456435 @default.
- W2567586281 hasRelatedWork W182591109 @default.
- W2567586281 hasRelatedWork W2001683934 @default.
- W2567586281 hasRelatedWork W2013032055 @default.
- W2567586281 hasRelatedWork W2015119999 @default.
- W2567586281 hasRelatedWork W2033355377 @default.
- W2567586281 hasRelatedWork W2045191852 @default.
- W2567586281 hasRelatedWork W2069746896 @default.
- W2567586281 hasRelatedWork W2077130435 @default.
- W2567586281 hasRelatedWork W2082212003 @default.
- W2567586281 hasRelatedWork W2142114774 @default.
- W2567586281 hasRelatedWork W2145304040 @default.
- W2567586281 hasRelatedWork W217003721 @default.
- W2567586281 hasRelatedWork W2318756145 @default.
- W2567586281 hasRelatedWork W2336201582 @default.
- W2567586281 hasRelatedWork W2461290425 @default.
- W2567586281 hasRelatedWork W2472648141 @default.
- W2567586281 hasRelatedWork W2488605925 @default.
- W2567586281 hasRelatedWork W2963233957 @default.
- W2567586281 isParatext "false" @default.
- W2567586281 isRetracted "false" @default.
- W2567586281 magId "2567586281" @default.
- W2567586281 workType "book-chapter" @default.