{"corpus":"steiner","locus":"GA 326/1922-12-27/p004","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"This conception could change into a different one only when men lost their awareness that everything quantitative—including mathematics—is originally experienced by man in direct connection with the universe. It changed when the point was reached where the quantitative was severed from what man experiences. We can determine this moment of separation precisely. It occurred when all concepts of space that included man himself were replaced by the schematic view of space that is customary today, according to which, from an arbitrary starting point, the three coordinates are drawn. The kind of mathematics prevalent today, by means of which man wants to dominate the so-called phenomena of nature, arose in this form only after it had been separated from the human element. Expressing it more graphically, I would say in a former age man perceived mathematics as something that he experienced within himself together with his god or gods, whereby the god ordered the world. It came as no surprise therefore to discover this mathematical order in the world. In contrast to this, to impose an arbitrary space outline or some other mathematical formula on natural phenomena—even if such abstract mathematical concepts can be identified with significant aspects in these so-called natural phenomena—is a procedure that cannot be firmly related to human experiences. Hence, it cannot be really understood and is at most simply assumed to be a fact. Therefore in reality it cannot be an object of any perception. The most that can be said of such an imposition of mathematics on natural phenomena is that what has first been mathematically thought out is then found to fit the phenomena of nature. But why this is so can no longer be discovered within this particular world perception.","text_trust":"verbatim","quote_safe":true,"title":"Lecture IV","site_heading":"Mathematics Severed from Human Experience: 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 Cite the unit by its title and locus, never by this heading, and do not quote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":"1922-12-27","location":null,"word_count":287,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-27/p004","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/AP1985/19221227p01.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/326/1922-12-27/p004"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-27/p004","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":"1922-12-27","de_passages":[{"locus":"GA 326/1922-12-27/p004","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p004"}],"bead_confidence":"medium","pairing_state":"proposed","verified":false,"length_check":{"de_words":302,"en_words":287,"ratio":0.95,"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 326/1922-12-27/p004","passage_number":4,"text":"Diese Anschauung konnte erst in eine andere sich verwandeln, als man das Bewußtsein verlor, daß alles Quantitative, also auch alles Mathematische, ursprünglich dennoch von dem Menschen unmittelbar im Zusammenhange mit der Welt erlebt ist, als man dazu gekommen war, abzulösen dieses Quantitative von dem menschlich Erlebten. Und wir können ja geradezu streng diese Ablösung feststellen da, wo ersetzt wird jede Raumauffassung als etwas, in dem der Mensch selber drinnensteht, durch die heute übliche schematische Raumauffassung, wo man den Ausgangspunkt nimmt eben von einem beliebigen Orte aus, durch den man einfach die drei Koordinatenachsen zieht. Das Mathematische in der Form, wie man es heute hat und wie man durch es die sogenannten Naturerscheinungen beherrschen will, es entstand erst in dieser Form, nachdem man es vom Menschlichen abgelöst hatte. Wenn ich mich etwas anschaulicher ausdrücken wollte, so müßte ich sagen: In einer älteren Zeit empfand der Mensch das Mathematische als etwas, was er in sich selber mit seinen Göttern oder mit seinem Gotte zusammen erlebte, wodurch der Gott die Welt ordnete, und gegenüber dem man es als kein Wunder anzusehen braucht, daß man die Welt nun auch in dieser Ordnung findet. Dagegen ist das Beziehen eines ganz willkürlichen Raumschemas oder eines anderen Mathematischen auf Naturerscheinungen, trotzdem man es mit Wesentlichem in diesen sogenannten Naturerscheinungen identifizieren kann, es ist dieses Beziehen des Abstrakt-Mathematischen auf Naturerscheinungen etwas, das nicht in irgendwie fester Weise sich mit menschlichen Erlebnissen verbinden kann und daher auch im Grunde genommen nicht durchschaut werden, sondern höchstens konstatiert werden kann. Daher kann es auch in Wirklichkeit nicht Gegenstand eines Erkennens sein. Man kann eigentlich von dieser Anwendung der Mathematik auf die Naturerscheinungen immer nur sagen, man findet, daß dasjenige, das man erst mathematisch ausgedacht hat, dann auf die Naturerscheinungen paßt. Aber warum das so ist, kann man innerhalb dieser Anschauungswelt nicht mehr finden.","text_trust":"verbatim","quote_safe":true,"word_count":302,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p004"}],"english":["GA 326/1922-12-27/p004"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":302,"en_words":287,"ratio":0.95,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":1.05,"band":"comparable","note":null,"word_count":6036,"original_word_count":5743,"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/AP1985/19221227p01.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 326/1922-12-27/p004"],"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. 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."}}