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- Blochs_principle abstract "Bloch's Principle is a philosophical principle in mathematicsstated by André Bloch.Bloch states the principle in Latin as: Nihil est in infinito quod non prius fuerit in finito, and explains this as follows: Every proposition in whose statement the actual infinity occurs can be always considered a consequence, almost immediate, of a proposition where it does not occur, a proposition in finite terms.Bloch mainly applied this principle to the theory of functions of a complex variable. Thus, for example, according to this principle, Picard's theorem corresponds to Schottky's theorem, and Valiron's theorem corresponds to Bloch's theorem.Based on his Principle, Bloch was able to predict or conjecture severalimportant results such as the Ahlfors's Five Islands theorem,Cartan's theorem on holomorphic curves omitting hyperplanes, Hayman's result that an exceptional set of radii is unavoidable in Nevanlinna theory.In the more recent times several general theorems were proved which can beregarded as rigorous statements in the spirit of the Bloch Principle.".
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- Blochs_principle wikiPageWikiLink Blochs_theorem_(complex_variables).
- Blochs_principle wikiPageWikiLink Category:Mathematical_principles.
- Blochs_principle wikiPageWikiLink Category:Philosophy_of_mathematics.
- Blochs_principle wikiPageWikiLink Compact_space.
- Blochs_principle wikiPageWikiLink Complex_analysis.
- Blochs_principle wikiPageWikiLink Complex_analytic_manifold.
- Blochs_principle wikiPageWikiLink Complex_manifold.
- Blochs_principle wikiPageWikiLink Complex_plane.
- Blochs_principle wikiPageWikiLink Complex_variable.
- Blochs_principle wikiPageWikiLink Function_(mathematics).
- Blochs_principle wikiPageWikiLink Henri_Cartan.
- Blochs_principle wikiPageWikiLink Henri_cartan.
- Blochs_principle wikiPageWikiLink Holomorphic_function.
- Blochs_principle wikiPageWikiLink Holomorphic_map.
- Blochs_principle wikiPageWikiLink Mathematics.
- Blochs_principle wikiPageWikiLink Metric_(mathematics).
- Blochs_principle wikiPageWikiLink Nevanlinna_theory.
- Blochs_principle wikiPageWikiLink Normal_family.
- Blochs_principle wikiPageWikiLink Philosophy.
- Blochs_principle wikiPageWikiLink Picard_theorem.
- Blochs_principle wikiPageWikiLink Picards_theorem.
- Blochs_principle wikiPageWikiLink Poincaré_metric.
- Blochs_principle wikiPageWikiLink Schottkys_theorem.
- Blochs_principle wikiPageWikiLink Walter_Hayman.
- Blochs_principle wikiPageWikiLinkText "Bloch's principle".
- Blochs_principle hasPhotoCollection Blochs_principle.
- Blochs_principle subject Category:Mathematical_principles.
- Blochs_principle subject Category:Philosophy_of_mathematics.
- Blochs_principle hypernym Principle.
- Blochs_principle type Airline.
- Blochs_principle comment "Bloch's Principle is a philosophical principle in mathematicsstated by André Bloch.Bloch states the principle in Latin as: Nihil est in infinito quod non prius fuerit in finito, and explains this as follows: Every proposition in whose statement the actual infinity occurs can be always considered a consequence, almost immediate, of a proposition where it does not occur, a proposition in finite terms.Bloch mainly applied this principle to the theory of functions of a complex variable.".
- Blochs_principle label "Bloch's principle".
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- Blochs_principle sameAs Q4927092.
- Blochs_principle sameAs Q4927092.
- Blochs_principle wasDerivedFrom Blochs_principleoldid=603094620.
- Blochs_principle isPrimaryTopicOf Blochs_principle.