{"corpus":"steiner","locus":"GA 326/1922-12-26/p007","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"In view of the increasing superficiality of psychological thinking, it was only natural that man could no longer penetrate to those inner depths of soul where geometrical thought has its base. Man takes his ordinary consciousness for granted and fills this consciousness with mathematics that has been thought-out but not experienced. As an example of what is thought-out but not experienced, let us consider the three perpendicular dimensions of Euclidean space. Man would have never thought of these if he had not experienced a threefold orientation within himself. One orientation that man experiences in himself is from front to back. We need only recall how, from the external modern anatomical and physiological point of view, the intake and excretion of food, as well as other processes in the human organism, take place from front to back. The orientation of these specific processes differs from the one that prevails when, for example, I do something with my right arm and make a corresponding move with my left arm. Here, the processes are oriented left and right. Finally, in regard to the last orientation, man grows into it during earthly life. In the beginning he crawls on all fours and only gradually, stands upright, so that this last orientation flows within him from above downward and up from below.","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 Cite the unit by its title and locus, never by this heading, and do not quote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":217,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p007","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":"de","edition":"original","edition_basis":null,"is_original":true,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p007"},{"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/p007","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/p005","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p005"},{"locus":"GA 326/1922-12-26/p006","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p006"}],"bead_confidence":"medium","pairing_state":"verified","verified":true,"evidence":["length","reader"],"reader_german":["GA 326/1922-12-26/p005","GA 326/1922-12-26/p006"],"reader_part":true,"length_check":{"de_words":435,"en_words":345,"ratio":0.79,"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/p005","passage_number":5,"text":"Man kann schon sagen, daß man die Mathematik für die Zeit des Descartes, des Cartesius, für die Zeit des Kopernikus so charakterisieren kann, wie man das annähernd auch noch heute kann. Nehmen wir zum Beispiel einmal den heutigen Mathematiker, der Geometrie darstellt, der innerhalb der geometrischen Vorstellungswelt ja auch seine analytischen Formeln sucht, um diese oder jene physikalischen Vorgänge zu begreifen. Dieser Mathematiker geht als Geometer, zunächst in der Auffassung der euklidischen Geometrie, von dem dreidimensionalen Raume aus oder überhaupt von dem dimensionalen Raum, wenn man etwa auch auf die nichteuklidische Geometrie Rücksicht nehmen wollte, und er unterscheidet im dreidimensionalen Raum drei aufeinander senkrecht stehende, aber im übrigen gleichartige Richtungen. Es ist der Raum, ich möchte sagen, ein sich selbst genügendes Gebilde, das einfach so, wie ich es jetzt beschrieben habe, vor das Bewußtsein hingestellt wird, ohne daß viel gefragt wird: Woher kommt dieses Gebilde, woher kommt überhaupt das ganze geometrische Vorstellen? — Bei der Äußerlichkeit, welche in der neueren Zeit das psychologische Denken allmählich angenommen hat, war es auch natürlich, daß der Mensch nicht in jene Seelentiefen, überhaupt nicht in jene inneren Tiefen hinuntersteigen konnte, aus denen die Grundlagen zum Beispiel des geometrischen Denkens heraufkommen. Der Mensch nimmt einfach sein gewöhnliches Bewußtsein hin und erfüllt dieses gewöhnliche Bewußtsein mit der erdachten, aber nicht erlebten Mathematik. Nehmen wir es im speziellen Fall mit den erdachten, nicht erlebten, drei aufeinander senkrecht stehenden Dimensionen des euklidischen Raumes. Aber niemals wäre der Mensch zu jenem Erdenken der drei aufeinander senkrecht stehenden Dimensionen des euklidischen Raumes gekommen, wenn er nicht in sich erlebte eine dreifache Orientierung.","text_trust":"verbatim","quote_safe":true,"word_count":262,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p005"},{"locus":"GA 326/1922-12-26/p006","passage_number":6,"text":"Die eine Orientierung, die der Mensch in sich erlebt, ist von vorne nach rückwärts. Wir brauchen nur daran zu denken, wie sich in der äußerlichen heutigen anatomisch-physiologischen Betrachtungsweise für den Menschen - ich spreche dabei nur vom Menschen, nicht von den Tieren, das ist in diesem Zusammenhange nicht notwendig -, wie sich für den Menschen, sagen wir zum Beispiel die Nahrungsaufnahme, das Absondern und auch sonstige Vorgänge des Organismus in der Richtung von vorn nach hinten abspielen, und wie diese Orientierung ganz bestimmter Vorgänge im Inneren des Menschen verschieden ist von dem, wenn ich zum Beispiel irgend etwas ausführe mit meinem rechten Arm, und dazu symmetrisch etwas ausführe mit meinem linken Arm. Da sind die Vorgänge orientiert nach rechts und links. Und endlich brauchen wir uns nur zu erinnern, wie mit Bezug auf eine andere Orientierung der Mensch eigentlich erst während seines Erdendaseins in diese hineinwächst: Er kriecht im Anfange und richtet sich allmählich erst so auf, daß eine Orientierung in ihm selber von oben nach unten oder von unten nach oben fließt.","text_trust":"verbatim","quote_safe":true,"word_count":173,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p006"}],"english":["GA 326/1922-12-26/p006","GA 326/1922-12-26/p007"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":435,"en_words":345,"ratio":0.79,"partial":false},"pairing_state":"verified","verified":true,"evidence":["length","reader"],"reader_german":["GA 326/1922-12-26/p005","GA 326/1922-12-26/p006"],"reader_part":true},"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":"ok","checked_against":["GA 326/1922-12-26/p005","GA 326/1922-12-26/p006"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"medium","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. 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