{"corpus":"steiner","locus":"GA 165/1916-01-16/p013","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"This is a triangle, this is a square, this is a pentagon (see drawing), I could make a hexagon, heptagon, octagon and so on, and if I keep going, it will become more and more similar to a circle. If I then draw a circle, how many corners does it have? It has an infinite number of corners. But if I draw a circle that is twice as large, it also has an infinite number of corners, but twice as many corners! So even in the finite, the concepts of infinity are everywhere, so that our thinking can fail everywhere, even where it can encounter the finite, because of infinity, because of the intense infinity. This means that thinking must always realize that it is at a loss and without support when it wants to go out of the finite sphere, which is given to it first, into the infinite.","text_trust":"verbatim","quote_safe":true,"title":"Second Lecture","site_heading":"Bridging Clairvoyance and Reason: The Trinity's Emergence","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 Cite the unit by its title and locus, never by this heading, and do not quote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":"1916-01-16","location":null,"word_count":150,"url":"https://anthroposophy.ai/v1/steiner/en/ga/165/1916-01-16/p013","alignment_confidence":"high","alignment_reason":"beads:identity","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2025","book_title":"The Conceptual World and Its Relationship to Reality","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA165/English/SOL2025/19160116p01.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/165/1916-01-16/p013"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/165/1916-01-16/p013","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},"paired_german":{"status":"paired","german":[{"locus":"GA 165/1916-01-16/p013","passage_number":13,"text":"Das ist ein Dreieck, das ist ein Viereck, das ein Fünfeck (siehe Zeichnung), ich könnte ein Sechs-, Sieben-, Achteck und so weiter machen, und wenn ich dann immer weitergehe, so wird es immer mehr und mehr ähnlich einem Kreis. Wenn ich dann einen Kreis ziehe, wieviel Ecken hat der? Er hat wirklich unendlich viele Ecken. Aber wenn ich einen Kreis mache, der doppelt so groß ist — der hat auch unendlich viele Ecken, aber er hat doppelt so viele Ecken! Also auch im Begrenzten stecken überall die Unendlichkeitsbegriffe darin, so daß unser Denken überall, auch wo es auftreffen kann auf das Begrenzte, an der Unendlichkeit, an der intensiven Unendlichkeit scheitern kann. Das heißt, das Denken muß sich schon immer klarmachen, daß es ratlos und haltlos ist, wenn es aus dem Endlichen der Sphäre, die ihm zunächst gegeben ist, ins Unendliche hinaus will.","text_trust":"verbatim","quote_safe":true,"word_count":142,"url":"https://anthroposophy.ai/v1/steiner/de/ga/165/1916-01-16/p013"}],"english":["GA 165/1916-01-16/p013"],"method":"identity","confidence":"high","correspondence":"established","length_check":{"de_words":142,"en_words":150,"ratio":1.06,"partial":false},"pairing_state":"verified","verified":true,"evidence":["length","meaning","audit"]},"witness_completeness":{"ratio":1.02,"band":"comparable","note":null,"word_count":9551,"original_word_count":9343,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2025","book_title":"The Conceptual World and Its Relationship to Reality","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA165/English/SOL2025/19160116p01.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 165/1916-01-16/p013"],"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."}}