{"corpus":"steiner","locus":"GA 82/1922-04-08/p029","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"In respect to space, one learns to know (to some extent) such an interplay of forces in the constitution of our soul. Then one views these things differently. From the logical, mathematical standpoint one can certainly keep step with those who extend their calculations from three-dimensional to four-dimensional space. But there one must make a halt. One cannot pass on into an indefinite fourth dimension; one must turn back at a certain point, and the fourth dimension becomes simply the third with a minus sign before it. One returns through the third dimension. The mistake made in these geometrics of more than three dimensions is in going on abstractly from the second to the third, from the third to the fourth dimension, and so on. But what we have here, if I may express it in a comparison, is not simple progression but oscillation. Our perception of space must return into itself. By taking the third dimension negatively, we really annihilate it. The fourth dimension is the negative third and annihilates the third, making space two-dimensional. And in like manner we can find a quite real progression, even though, logically, mathematically, algebraically, these things can be carried further and further. When we think in accordance with reality, we must turn back at the fourth, fifth and sixth dimensions to the space that is simply given us. With the sixth dimension, we have abolished space and reach the point.","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":238,"url":"https://anthroposophy.ai/v1/steiner/en/ga/82/1922-04-08/p029","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/p029"}],"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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Read the German unit (german_unit.fetch_unit) and find the place by its content.","german_unit":{"lang":"de","edition":"original","unit_locus":"GA 82/1922-04-08","paragraph_count":23,"fetch_unit":{"ga":"82","lecture":"1922-04-08","lang":"de","edition":"original"},"url":"https://anthroposophy.ai/v1/steiner/de/ga/82/1922-04-08","json_url":"https://anthroposophy.ai/v1/steiner/ga/82/1922-04-08?lang=de"},"pairing_state":"proposed","verified":false,"nearest_pairs":{"before":{"de":[14],"en":[27,28]},"after":{"de":[16],"en":[30,31]}}},"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":"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."}}