{"corpus":"steiner","locus":"GA 82/1922-04-08/p031","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"What I am now describing is not formal mathematics, but the reality of spiritual perception. It is a path in real conformity with the spiritual and in contrast to the path that has adapted itself so closely to material appearances alone. This latter path, even though keeping close to mathematics—which does not, of course, work in a material way in the soul—leads nevertheless to an imperceptible world in which one can, at most, only calculate and construct imaginary mathematical spaces.","text_trust":"verbatim","quote_safe":true,"title":"2. The Position of Anthroposophy among the Sciences","site_heading":null,"date":"1922-04-08","location":null,"word_count":80,"url":"https://anthroposophy.ai/v1/steiner/en/ga/82/1922-04-08/p031","alignment_confidence":"low","alignment_reason":"count_diverges","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2025","book_title":"So That Man may Become Fully Human","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA082/English/SOL2025/19220408p01.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/82/1922-04-08/p031","paragraph_aligned":true}],"record":{"record_type":"unknown","scope":"volume","note":"How this text was taken down (shorthand transcript, listeners' notes or manuscript) is not on record here. Unknown is not an assurance of a stenogram: check the edition's own notes before resting an argument on one word.","evidence":null,"evidence_translation":null,"evidence_source":null},"german_anchor":{"de_prefix":"1922-04-08","de_passages":[{"locus":"GA 82/1922-04-08/p016","url":"https://anthroposophy.ai/v1/steiner/de/ga/82/1922-04-08/p016"}],"bead_confidence":"high","pairing_state":"verified","verified":true,"evidence":["reader"],"reader_german":["GA 82/1922-04-08/p016"],"reader_part":true,"length_check":{"de_words":241,"en_words":226,"ratio":0.94,"partial":false},"correspondence":"established","note":"English passage numbering is edition-relative, so the same number need not name the same paragraph in the German. The German original passage(s) above are the edition-invariant anchor — fetch them (lang='de') to verify wording before quoting across editions."},"paired_german":{"status":"paired","german":[{"locus":"GA 82/1922-04-08/p016","passage_number":16,"text":"Was liegt da eigentlich in der Zeitkultur vor? Es liegt das vor, daß diese Zeitkultur abstrakt geworden ist in bezug auf das Denken, daß man den Lauf, den man mit dem Denken genommen hat von der Planimetrie zur Stereometrie einfach fortsetzt, während die Wirklichkeit mit der vierten Dimension wieder zurückführt in den Raum. Aber indem wir jetzt zurückkehren, sind wir keineswegs in derselben Lage, in der wir waren, als wir in die dritte Dimension hinausgekommen sind mit dem Visieren, sondern indem wir zurückkehren, sind wir geistbeladen. Finden wir die Möglichkeit, die vierte Dimension so zu denken, daß wir mit ihr wiederum, indem sie die negative dritte ist, in den Raum zurückkehren, dann wird der Raum geisterfüllt, während der dreidimensionale Raum materieerfüllt ist. Und mit immer höheren Geistgebilden finden wir den Raum erfüllt, wenn wir entlang der negativen dritten und zweiten und ersten Dimension gehen bis zu dem Punkt, wo wir keine Raumesausdehnung mehr haben, aber vollständig im Ausdehnungslosen, im Geistigen dann drinnenstehen. Was ich Ihnen schildere, ist nicht formale Mathematik, ist Wirklichkeit der geistigen Anschauung, ist dasjenige, was zeigt, wie ein geistgemäßer Weg in Wirklichkeit verläuft, im Gegensatz zu demjenigen Weg, der sich so sehr nur an die materiellen Erscheinungen gewöhnt hat, daß er selbst mit dem, was natürlich nicht mehr materiell in der Seelenverfassung wirkt, mit der Mathematik, indem er mit dem weiterläuft, in eine unwahrnehmbare Welt hineinkommt, in der er höchstens noch rechnen oder imaginäre mathematische Gebilde ausbilden kann.","text_trust":"verbatim","quote_safe":true,"word_count":241,"url":"https://anthroposophy.ai/v1/steiner/de/ga/82/1922-04-08/p016"}],"english":["GA 82/1922-04-08/p030","GA 82/1922-04-08/p031"],"method":"reader","confidence":"high","correspondence":"established","length_check":{"de_words":241,"en_words":226,"ratio":0.94,"partial":false},"pairing_state":"verified","verified":true,"evidence":["reader"],"reader_german":["GA 82/1922-04-08/p016"],"reader_part":true},"witness_completeness":{"ratio":0.92,"band":"comparable","note":null,"word_count":6598,"original_word_count":7163,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2025","book_title":"So That Man may Become Fully Human","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA082/English/SOL2025/19220408p01.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."},"entity_parity":{"status":"ok","checked_against":["GA 82/1922-04-08/p016"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"high","note":"Every load-bearing name in the German counterpart appears in this English passage. That is a check on NAMES only: a translation can keep every name and still reverse who acts on whom, change a number, or soften a claim. Read the German for anything you intend to rest an argument on."},"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."}}