{"corpus":"steiner","locus":"GA 326/1922-12-27/p023","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"Modern science set out to master the natural phenomena by means of a mathematics detached from man, a mathematics no longer inwardly experienced. By adopting this abstract mathematical view and these concepts divorced from man, science arrived at a point where it could examine only the inanimate. Having taken mathematics out of the sphere of live experience, one can only apply it to what is dead. Therefore, owing to this mathematical approach, modern science is directed exclusively to the sphere of death. In the universe, death manifests itself in disintegration, in atomization, in reduction to microscopic parts—putting it simply, in a crumbling into dust. This is the direction taken by the present-day scientific attitude. With a mathematics detached from all living experience, it takes hold of everything in the cosmos that turns to dust, that atomizes. From this moment onward it becomes possible to dissipate mathematics itself into differentials. We actually kill all living forms of thought, if we try to penetrate them with any kind of differential equation, with any differential line of thought. To differentiate is to kill; to integrate is to piece the dead together again in some kind of framework, to fit the differentials together again into a whole. But they do not thereby become alive again, after having been annihilated. One ends up with dead specters, not with anything living.","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 Cite the unit by its title and locus, never by this heading, and do not quote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":225,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-27/p023","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/p023"},{"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/p023","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/p019","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p019"}],"bead_confidence":"medium","pairing_state":"proposed","verified":false,"length_check":{"de_words":241,"en_words":225,"ratio":0.93,"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/p019","passage_number":19,"text":"Diese moderne Naturwissenschaft, indem sie den Weg gemacht hat, mit der Mathematik die Naturerscheinungen beherrschen zu wollen, aber mit einer vom Menschen abgesonderten, nicht mehr mit einer innerlich erlebten Mathematik, sie kommt eben, indem sie zu ihrer abgesonderten mathematischen Anschauung übergeht, mit ihren aus dem Menschen herausgerissenen Begriffen dazu, nur noch das Tote betrachten zu können; indem man die Mathematik aus dem Erleben herausgenommen hat, kann man die Mathematik auch nur noch auf das Tote anwenden. Es ist unmöglich, die Mathematik auf etwas anderes anzuwenden als auf das Tote, nachdem man sie aus dem Erlebbaren herausgerissen hat. Und so wird gerade durch die mathematische Betrachtungsweise die neuere Naturwissenschaft ausschließlich auf das Tote verwiesen. Aber im Weltenall äußert sich das Tote im Zerfallenden, im Sich-Atomisierenden, in dem Hineingleiten in mikroskopisch kleinste Teile, grob ausgedrückt: in dem Zerfall in Staub. Diesen Weg nimmt auch die moderne naturwissenschaftliche Anschauungsweise. Sie ergreift in einer aus dem Erlebbaren herausgerissenen Mathematik das im Kosmos Verstaubende, Sich-Atomisierende. Von diesem Zeitpunkte an beginnt auch die Möglichkeit, das Mathematische selber zu zerstäuben in Differentiale, so daß man mit jeder Art von Differentialgleichung, mit jeder differentiellen Betrachtung, wenn man damit auch das lebendigste Gebilde durchsetzen will, es in der Vorstellung tötet. Differenzieren heißt töten, und Integrieren heißt, das Tote wiederum zu einem Schema zusammenflicken, die Differentiale wiederum zu einem Ganzen zusammenfügen. Dadurch werden sie nicht lebendig, wenn man sie erst getötet hat, dadurch bekommt man nur tote Gespenster, nichts Lebendes mehr.","text_trust":"verbatim","quote_safe":true,"word_count":241,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p019"}],"english":["GA 326/1922-12-27/p023"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":241,"en_words":225,"ratio":0.93,"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/p019"],"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."}}