{"corpus":"steiner","locus":"GA 326/1922-12-26/p036","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"[^3]: Non-Euclidian geometry is a prime example of “the self-contained inner ability to think.” C. Friedrich Gauss (1777–1855) discovered first that one can think more than only a geometric system. Because nobody understood this, he decided not to publish his results and to withdraw from the fruitless quarrel. Independently of Gauss in 1828 N.I. Lobatschewskij and in 1829 J. Boljai first published their solutions to the same problem. Rudolf Steiner often spoke about the meaning of this achievement, as in *Wege und Ziele des geistigen Menschen* in the lecture “ *Der Heutige Stand der Philosophie und Wissenschaft*,” (Dornach, Switzerland: Rudolf Steiner Verlag, 1973; GA Bibl. Nr. 125). See also: Georg Unger, *Physic am Scheidewege* (Dornach: 1948), pages 19–28, and *Vom Bielden Physikalischer Begriffe*, Vol. 3 (Stuttgart: 1967), pages 31–32 and 193–194.","text_trust":"verbatim","quote_safe":true,"title":"Lecture III","site_heading":"Mathematics, Blood Experience, and the Birth of Modern Science","site_heading_note":"A heading the site wrote for this unit from a summary of it; not in the edition, and not the words of Rudolf Steiner or of the translator. Cite the unit by its title and locus, never by this heading, and do not quote it.","date":"1922-12-26","location":null,"word_count":131,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p036","alignment_confidence":"medium","alignment_reason":"beads:length","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Maria St. Goar","identified_edition":"AP1985","book_title":"The Origins of Natural Science","publisher":"Anthroposophic Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA326/English/AP1985/19221226p01.html","evidence":"lecture_page_line","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"edition_coverage":{"de":["original"],"en":["English"]},"available_versions":[{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p036"}],"record":{"record_type":"unknown","scope":"volume","note":"How this text was taken down (shorthand transcript, listeners' notes or manuscript) is not on record here. 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The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"entity_parity":{"status":"not_checkable","note":"No verified paragraph alignment covers this passage, so its names cannot be compared with the German."},"note":"quote_safe certifies the bytes of this text. This block is about the translation as a WITNESS: who made it, and whether it carries the same names as the original. See witness_completeness for how much of the original this witness holds."}}