{"corpus":"steiner","locus":"GA 108/1908-10-20/p009","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"But we still have not come to the concept. We get the idea by exposing ourselves to the impressions of the outside world. We then retain the idea as an image. Most people do not get beyond the idea in the course of their lives, they do not penetrate to the actual concept. What a concept is and how it relates to the idea is best shown by an example from mathematics. Take the circle. If we take a boat out to sea, until we finally see nothing but the sea and the sky, we can perceive the horizon as a circle when it is very calm. If we then close our eyes, we retain the idea of the circle from this perception as a memory image. To arrive at the concept of the circle, we have to take a different path. We must not seek an external cause for the idea, but we construct in our minds all the points of a surface that are equidistant from a certain fixed point; if we repeat this countless times and connect these points with a line in our minds, the image of a circle is built up in our minds. We can also illustrate this mental image with chalk on the blackboard. If we now visualize this image of the circle, which has been created not by external impressions but by internal construction, and compare it with the image of the sea surface and the horizon that presented itself to our external perception, we can find that the internally constructed circle corresponds exactly to the image of external perception.","text_trust":"verbatim","quote_safe":true,"title":"12. Formal Logic I","site_heading":null,"date":"1908-10-20","location":null,"word_count":268,"url":"https://anthroposophy.ai/v1/steiner/en/ga/108/1908-10-20/p009","alignment_confidence":"medium","alignment_reason":"beads:identity","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"Answers Provided by Anthroposophy Concerning the World and Life","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA108/English/SOL2024/19081020p01.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/108/1908-10-20/p009"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/108/1908-10-20/p009","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":"1908-10-20","de_passages":[{"locus":"GA 108/1908-10-20/p009","url":"https://anthroposophy.ai/v1/steiner/de/ga/108/1908-10-20/p009"}],"bead_confidence":"medium","pairing_state":"verified","verified":true,"evidence":["length","meaning","audit"],"length_check":{"de_words":261,"en_words":268,"ratio":1.03,"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 108/1908-10-20/p009","passage_number":9,"text":"Wir sind aber immer noch nicht zum Begriff gekommen. Die Vorstellung erhalten wir, indem wir uns den Eindrücken der Außenwelt aussetzen. Wir behalten dann als Bild die Vorstellung zurück. Die meisten Menschen kommen Zeit ihres Lebens nicht über die Vorstellung hinaus, sie dringen nicht vor zum eigentlichen Begriff. Was ein Begriff ist und wie er sich verhält zur Vorstellung, wird am besten gezeigt an einem Beispiel aus der Mathematik. Nehmen wir den Kreis. Wenn wir mit einem Kahn auf das Meer hinausfahren, bis dort, wo wir schließlich nichts weiter sehen als die Meeresfläche und den Himmel, so können wir, wenn es ganz ruhig ist, den Horizont wahrnehmen als einen Kreis. Schließen wir dann die Augen, so behalten wir von dieser Wahrnehmung als Erinnerungsbild die Vorstellung des Kreises zurück. Um zum Begriff des Kreises zu kommen, müssen wir einen anderen Weg einschlagen. Wir dürfen keinen äußeren Anlaß für die Vorstellung suchen, sondern wir konstruieren im Geiste alle Punkte einer Fläche, welche von einem bestimmten festen Punkte gleich weit entfernt sind; wiederholen wir dies unzählige Male und verbinden im Geiste diese Punkte durch eine Linie, so baut sich vor unserem Geiste das Bild eines Kreises auf. Wir können auch mit Kreide an der Tafel eine Illustration dieses geistigen Bildes geben. Wenn wir uns nun dieses nicht durch äußere Eindrücke, sondern durch inneres Konstruieren entstandene Bild des Kreises vor Augen stellen und es vergleichen mit dem Bild der Meeresfläche und des Horizontes, das sich der äußeren Wahrnehmung darbot, so können wir finden, daß der innerlich konstruierte Kreis dem Bild der äußeren Wahrnehmung durchaus entspricht.","text_trust":"verbatim","quote_safe":true,"word_count":261,"url":"https://anthroposophy.ai/v1/steiner/de/ga/108/1908-10-20/p009"}],"english":["GA 108/1908-10-20/p009"],"method":"identity","confidence":"medium","correspondence":"established","length_check":{"de_words":261,"en_words":268,"ratio":1.03,"partial":false},"pairing_state":"verified","verified":true,"evidence":["length","meaning","audit"]},"witness_completeness":{"ratio":1.03,"band":"comparable","note":null,"word_count":3563,"original_word_count":3476,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"Answers Provided by Anthroposophy Concerning the World and Life","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA108/English/SOL2024/19081020p01.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 108/1908-10-20/p009"],"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."}}