{"corpus":"steiner","locus":"GA 326/1922-12-26/p028","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"It is surprising, very surprising, to discover that ancient mathematics spoke quite differently about the triangle and the square. Modern nebulous mystics describe great mysteries, but there is no great mystery here. It is only what a person would have experienced inwardly in the blood when he walked the outline of a triangle or a square, not to mention the blood experience corresponding to the pentagram. In the blood the whole of geometry becomes qualitative inward experience. We arrive back at a time when one could truly say, as Mephistopheles does in Goethe's *Faust*, “Blood is a very special fluid.”[^7] This is because, inwardly experienced, the blood absorbs all geometrical forms and makes of them intense inner experiences. Thereby man learns to know himself as well. He learns to know what it means to experience a triangle, a square, a pentagram; he becomes acquainted with the projection of geometry on the blood and its experiences. This was once mysticism. Not only was mathematics, mathesis, closely related to mysticism, it was in fact the external side of movement, of the limbs, while the inward side was the blood experience. For the mystic of bygone times all of mathematics transformed itself out of a sum of spatial formations into what is experienced in the blood, into an intensely mystical rhythmic inner experience.","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 Cite the unit by its title and locus, never by this heading, and do not quote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":220,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p028","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/p028","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":"1922-12-26","de_passages":[{"locus":"GA 326/1922-12-26/p023","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p023"}],"bead_confidence":"medium","pairing_state":"proposed","verified":false,"length_check":{"de_words":233,"en_words":220,"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 326/1922-12-26/p023","passage_number":23,"text":"Das ist das Überraschende, das ungeheuer Überraschende, wenn man darauf kommt, daß eine ältere Mathematik ganz anders redet vom Dreieck und Viereck. Wenn darinnen gesehen wird allerlei Geheimnisvolles, so ist das nicht ein Geheimnisvolles, wie es die heutigen nebulosen Mystiker beschreiben, sondern es ist dasjenige, was einer etwa beim Dreieck erlebt hätte innerlich im Blute, wenn er das Dreieck abgelaufen wäre, was einer innerlich erlebt hätte im Blute, wenn er das Viereck abgelaufen wäre. Und gar jenes Blutserlebnis, das für das Pentagramm gilt! Sie sehen, im Blute wird die ganze Geometrie qualitativ inneres Erlebnis. Wir kommen in die Zeit zurück, die wahrhaftig sagen durfte: Blut ist ein ganz besonderer Saft. Denn wird er innerlich erlebt, dieser Saft, so saugt er alle geometrischen Gebilde auf, macht sie zu intensiven inneren Erlebnissen. Aber der Mensch lernt sich ja dadurch auch selber kennen. Er lernt kennen, was es heißt, ein Dreieck erleben, was es heißt, ein Viereck erleben, was es heißt, ein Pentagramm erleben, und er lernt die Projektion der Geometrie auf das Blut und seine Erlebnisse kennen. Das war einmal Mystik. Die Mathematik, die Mathesis, stand nicht nur nahe der Mystik, sondern sie war überhaupt die Bewegungsaußenseite, die Gliedmaßenseite für das Innenerlebnis, für das Blutserlebnis. Die ganze Mathematik verwandelte sich aus einer Summe von Raumesgebilden für den Mystiker einstiger Zeiten in dasjenige, was im Blute erlebt wird, in rhythmisches Innenerlebnis, aber intensives mystisches, rhythmisches Innenerlebnis.","text_trust":"verbatim","quote_safe":true,"word_count":233,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p023"}],"english":["GA 326/1922-12-26/p028"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":233,"en_words":220,"ratio":0.94,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":1.0,"band":"comparable","note":null,"word_count":4571,"original_word_count":4559,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","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."},"entity_parity":{"status":"discrepancy","checked_against":["GA 326/1922-12-26/p023"],"missing_from_translation":[],"present_only_in_translation":["Goethe"],"bead_confidence":"medium","bead_length_ratio":0.94,"likely_cause":"unresolved","note":"NAME MISMATCH between this English passage and its German counterpart. A name the German carries is absent here (or a name appears here that the German does not carry). Two things cause this and they need telling apart: the translation really drops or reassigns what the original distinguishes, OR the paragraph alignment paired the wrong passages. `bead_confidence` does NOT settle which: this corpus's embedding aligner pairs topically-related paragraphs at full confidence, and a sampled high-confidence mismatch proved to be a wrong pairing. Read the German passages listed and confirm they are counterparts BEFORE drawing any conclusion about the translation."},"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."}}