{"corpus":"steiner","locus":"GA 324/1921-03-16/p031","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"When one realizes how the longing for mathematical explanations of nature are based on this soul habit of longing to take inner possession of the outer world, then it will also be clear that what one attains by this is completely different from the content of sense experience. One goes more deeply into human inner life with mathematical knowledge. One believes that one gets correspondingly closer to the outer world through an inner representation of the nature of the outer world. One has an inner experience of what has been changed into mathematical formulas; at the same time, one has basically lost the fullness of the outer world. One must, however, be conscious of the fact that what the outer world has given has been connected with something constructed purely inwardly.","text_trust":"verbatim","quote_safe":true,"title":"Lecture I","site_heading":"Mathematical Knowledge and the Path to Spiritual 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 Cite the unit by its title and locus, never by this heading, and do not quote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":"1921-03-16","location":null,"word_count":131,"url":"https://anthroposophy.ai/v1/steiner/en/ga/324/1921-03-16/p031","alignment_confidence":"low","alignment_reason":"count_diverges","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Walter Stuber and Mark Gardner","identified_edition":"MP1991","book_title":"Anthroposophy and Science","publisher":"Mercury Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA324/English/MP1991/19210316p01.html","evidence":"lecture_list_row","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/324/1921-03-16/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. 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Man macht nur dann die Erfahrung, daß man nun eigentlich mit dem, was man in mathematische Formulierung umgewandelt hat, im Grunde genommen die volle Fülle der Außenwelt verloren hat. Man muß sich bewußt sein: man verbindet dasjenige, was einem die Außenwelt gibt, mit etwas rein innerlich Konstruiertem. Und man muß dasjenige, was da eigentlich in der Seele vorgeht, wenn man mathematische Formulierungen macht, richtig erleben können. Man muß durchschauen, daß das Mathematische ein innerliches Menschheitserzeugnis ist, und daß man dennoch, trotzdem man es in diesem Mathematischen mit einem innerlichen Menschheitserzeugnis zu tun hat, dennoch ein Gefühl — wir werden später sehen, daß es eine Erkenntnis ist— davon hat, daß mit diesem innerlich mathematisch Konstruierten, das ganz abseits von der Außenwelt konstruiert wird, etwas gegeben ist, was uns näher an die Außenwelt heranbringt, als wir ihr sonst sind. Aber dennoch, wiederum kann dieses innerlich in solcher Weise mathematisch Konstruierte nicht innerliche Realität sein, wenigstens nicht unmittelbar innerliche Realität der realen Außenwelt gegenüber. Denn sonst müßte man, wenn man das mathematische Bild als Ergebnis der Forschungen vor sich hat, nicht das Gefühl haben, jetzt ist die volle Fülle der Außenwelt erblaßt und es steht nur die mathematische Formulierung da, sondern man müßte das Gefühl haben, man hat in dieser mathematischen Formulierung etwas, was innerlich erst recht Realität hat. Denken Sie einmal, wie anders die Sache läge, wenn wir das ganze Feld der Erlebnisse des Auges vor uns hätten mit aller intensiven Farbenempfindung, und wir würden dann noch, wenn wir mathematische Formulierung gepflogen haben, in dieser mathematischen Formulierung geistig dasjenige vor uns sehen, was wir erst aufgenommen haben. Wir würden in unseren mathematischen Formeln der Undulationstheorie die Farben aufblitzen, aufleuchten sehen, Interferenzerscheinungen erleben und so weiter. Das tun wir nicht. Daß wir es nicht tun, bezeugt uns, daß wir zwar die Außenwelt mit unseren mathematischen Formulierungen so durchdringen, daß wir ihr näherkommen, aber daß wir zu gleicher Zeit dies auf Kosten davon tun, daß wir die volle Wirklichkeit der Außenwelt eigentlich dann nicht mehr haben.","text_trust":"verbatim","quote_safe":true,"word_count":418,"url":"https://anthroposophy.ai/v1/steiner/de/ga/324/1921-03-16/p023"}],"english":["GA 324/1921-03-16/p031","GA 324/1921-03-16/p032"],"method":"reader","confidence":"high","correspondence":"established","length_check":{"de_words":418,"en_words":358,"ratio":0.86,"partial":false},"pairing_state":"verified","verified":true,"evidence":["reader"],"reader_german":["GA 324/1921-03-16/p023"],"reader_part":true},"witness_completeness":{"ratio":0.89,"band":"comparable","note":null,"word_count":5618,"original_word_count":6316,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Walter Stuber and Mark Gardner","identified_edition":"MP1991","book_title":"Anthroposophy and Science","publisher":"Mercury Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA324/English/MP1991/19210316p01.html","evidence":"lecture_list_row","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. 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