{"corpus":"steiner","locus":"GA 75/1922-05-11/p116","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"For anyone who can think mathematically, it is out of the question that they cannot also construct such mathematical truths purely through inner experience, even if they are the most complicated mathematical truths. There is no question of that. Even if I had to draw them with chalk, that would still have no significance for the simple reason that what constitutes the substantial validity of the proposition is to be illustrated in the drawing, but does not have to be concluded in it. If I use the drawing on the board to visualize that the angle is a right angle, then this visualization does not establish anything specific for the inner validity of the sentence. And that is what ultimately matters. There can be absolutely no question of my first needing the drawing on the board. But even if I needed it, that would be completely irrelevant to what I have said about the nature of mathematization – not about solving individual problems, but about mathematization in general. What is important here lies in a completely different area than what has been mentioned here, because when we look at mathematization, we are simply led to say that we experience inner truths.","text_trust":"verbatim","quote_safe":true,"title":"6. Agnosticism in Science and Anthroposophy","site_heading":null,"date":"1922-05-11","location":null,"word_count":201,"url":"https://anthroposophy.ai/v1/steiner/en/ga/75/1922-05-11/p116","alignment_confidence":"high","alignment_reason":"beads:length","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"The Relationship between Anthroposophy and the Natural Sciences","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA075/English/SOL2024/19220511p01.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/75/1922-05-11/p116"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/75/1922-05-11/p116","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":"1922-05-11","de_passages":[{"locus":"GA 75/1922-05-11/p115","url":"https://anthroposophy.ai/v1/steiner/de/ga/75/1922-05-11/p115"}],"bead_confidence":"high","pairing_state":"proposed","verified":false,"length_check":{"de_words":213,"en_words":201,"ratio":0.94,"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 75/1922-05-11/p115","passage_number":115,"text":"Für den, der mathematisch denken kann, ist es ganz ausgeschlossen, daß er solche mathematische Wahrheiten, selbst wenn es sich um die kompliziertesten mathematischen Wahrheiten handelt, nicht auch rein im inneren Erleben konstruieren kann. Davon kann gar keine Rede sein. Selbst wenn ich darauf angewiesen wäre, sie mit Kreide hinzuzeichnen, so würde das noch immer keine Bedeutung haben aus dem einfachen Grunde, weil das, was die substantielle Geltung des Satzes ausmacht, zwar veranschaulicht werden soll in der Zeichnung, aber doch nicht in ihr beschlossen zu sein braucht. Wenn ich mir durch die Zeichnung an der Tafel veranschauliche, daß der Winkel ein rechter ist, so ist durch diese Veranschaulichung doch nicht irgend etwas Bestimmtes für die innere Geltung des Satzes ausgemacht. Und darauf kommt es schließlich an. Es kann durchaus nicht die Rede davon sein, daß ich erst die Zeichnung auf der Tafel brauche. Aber selbst wenn ich sie brauchte, so würde das vollständig irrelevant sein für das, was ich über die Natur des Mathematisierens gesagt habe - nicht des Lösens einzelner Probleme, sondern des Mathematisierens überhaupt. Das, worauf es dabei ankommt, liegt auf einem ganz anderen Gebiete als das, was hier angeführt worden ist, denn wir werden einfach, wenn wir das Mathematisieren ansehen, dahin geführt, daß wir uns sagen müssen, wir erleben innerliche Wahrheiten.","text_trust":"verbatim","quote_safe":true,"word_count":213,"url":"https://anthroposophy.ai/v1/steiner/de/ga/75/1922-05-11/p115"}],"english":["GA 75/1922-05-11/p116"],"method":"length","confidence":"high","correspondence":"established","length_check":{"de_words":213,"en_words":201,"ratio":0.94,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":1.02,"band":"comparable","note":null,"word_count":16789,"original_word_count":16506,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"The Relationship between Anthroposophy and the Natural Sciences","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA075/English/SOL2024/19220511p01.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 75/1922-05-11/p115"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"high","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."}}