{"corpus":"steiner","locus":"GA 326/1922-12-26/p004","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"Nobody notices how much matters have changed. We take a certain position today in regard to mathematics and to the relationship of mathematics to reality. We assume that this is the way it has to be and that this is the correct relationship. There are debates about it from time to time, but within certain limits this is regarded as the true relationship. We forget that in a none too distant past mankind felt differently concerning mathematics. We need only recall what happened soon after the point in time that I characterized as the most important in modern spiritual life, the point when Nicholas Cusanus presented his dissertation to the world. Shortly after this, not only did Copernicus try to explain the movements of the solar system with mathematically oriented thinking of the kind to which we are accustomed today, but philosophers such as Descartes and Spinoza[^1] began to apply this mathematical thought to the whole physical and spiritual universe.","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 Cite the unit by its title and locus, never by this heading, and do not quote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":160,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/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/AP1985/19221226p01.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/p004"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/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":"1922-12-26","de_passages":[{"locus":"GA 326/1922-12-26/p003","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p003"}],"bead_confidence":"medium","pairing_state":"proposed","verified":false,"length_check":{"de_words":355,"en_words":280,"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/p003","passage_number":3,"text":"Es ist von mir versucht worden, in den beiden letzten Betrachtungen den Zeitpunkt anzudeuten, in dem innerhalb der neueren Menschheitsentwickelung naturwissenschaftliche Anschauung und naturwissenschaftliches Denken, wie wir es heute verstehen, entstanden ist, und ich konnte gestern darauf hinweisen, daß der ganze Charakter dieses naturwissenschaftlichen Denkens, wie er zuerst am deutlichsten hervortritt in der Auffassung der Astronomie durch Kopernikus, daß dieser ganze Charakter des naturwissenschaftlichen Denkens abhängig ist von der Art, wie man allmählich im Laufe der Menschheitsentwickelung die Mathematik, das mathematische Denken in ein Verhältnis brachte zur äußeren Weltwirklichkeit. In der Tat hängt außerordentlich viel für die wissenschaftliche Entwickelung der neueren Zeit davon ab, daß auch in bezug auf das mathematische Denken selber ein Umschwung — man möchte fast sagen: eine Revolution — der menschlichen Anschauung eingetreten ist. In der Gegenwart ist man ja so sehr geneigt, die Art und Weise, wie man selber denkt in dieser Gegenwart, gewissermaßen als etwas absolut Geltendes hinzustellen, und gar nicht das Augenmerk darauf zu richten, wie sich die Dinge verändert haben. Man hat heute eine gewisse Stellung zur Mathematik und wiederum eine gewisse Anschauung über das Verhältnis des Mathematischen zu dem Weltwirklichen. Und man denkt, das sei eben einmal das Gegebene, das richtige Verhältnis. Gewiß, man diskutiert darüber, aber innerhalb gewisser Grenzen betrachtet man das als das richtige Verhältnis und denkt nicht daran, in welch einer uns eigentlich gar nicht so besonders ferne liegenden Vergangenheit über die Mathematik selber von der Menschheit anders empfunden worden ist. Man brauchte sich nur einmal mit einer genügenden Schärfe daran zu erinnern, wie auch nicht lange nach jenem Zeitpunkt, den ich als den bedeutungsvollsten des neueren Geisteslebens bezeichnet habe, bald nach diesem Zeitpunkt, in dem der Kusaner seine bedeutungsvollen Auseinandersetzungen der Welt gegeben hat, wie bald nach diesem Zeitpunkte nicht nur Kopernikus mit einem mathematisch orientierten Denken die Bewegungen des Sonnensystems erklären wollte, mit einem schon so mathematisch orientierten Denken, wie wir es auch heute gewöhnt sind, sondern wie auch Philosophen - Cartesius, Spinoza — geradezu ihr Ideal darinnen gesehen haben, die Art und Weise, wie man in der Mathematik denkt, auf das umfassendste Darstellen des ganzen physischen und geistigen Weltengebäudes anzuwenden.","text_trust":"verbatim","quote_safe":true,"word_count":355,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p003"}],"english":["GA 326/1922-12-26/p003","GA 326/1922-12-26/p004"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":355,"en_words":280,"ratio":0.79,"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":"ok","checked_against":["GA 326/1922-12-26/p003"],"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. 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