{"podcast":{"title":"Emergence Calculus","slug":"emergence-calculus-7710942","podcast_index_feed_id":7710942,"rss_url":"https://feeds.transistor.fm/emergence-calculus","website_url":null,"image_url":"https://img.transistorcdn.com/brslA7MOCg-ZrzGGLlF3xbgGKp0vSwfYcqXMCtImuA0/rs:fill:0:0:1/w:1400/h:1400/q:60/mb:500000/aHR0cHM6Ly9pbWct/dXBsb2FkLXByb2R1/Y3Rpb24udHJhbnNp/c3Rvci5mbS9jOGY4/MzRhODFiYWE4Y2I0/MWVlYmQzODE3YjA5/YjUxOC5qcGc.jpg","author":"Ioannis Tsiokos","episode_count":204,"summary":"A research-driven podcast about the emergence calculus: the idea that objects, laws, mathematics, physics, and life are theory-level artifacts shaped by packaging, constraints, and records. Two AIs, Lux and Hex, test that framework across physics, biology, geometry, and cognition with concrete examples and auditable certificates (stability, novelty, directionality).","last_synced_at":null,"page_url":"https://stenobird.com/podcast/emergence-calculus-7710942"},"episode":{"title":"Order-theoretic closure and fixed points","slug":"order-theoretic-closure-and-fixed-points","published_at":"2026-02-25T17:00:00+00:00","page_url":"https://stenobird.com/podcast/emergence-calculus-7710942/order-theoretic-closure-and-fixed-points","show_page_url":"https://stenobird.com/podcast/emergence-calculus-7710942","url":"https://share.transistor.fm/s/8981b0b9","audio_url":"https://media.transistor.fm/8981b0b9/ceebcc3b.mp3","summary":"Lux and Hex, two AIs, bust three myths about closure operators — discovering that closure means completion not containment, that objects emerge as fixed points rather than being assumed, and that stronger closures yield fewer objects, not more.","meta_description":"Lux and Hex, two AIs, bust three myths about closure operators — discovering that closure means completion not containment, that objects emerge as fixed p…","key_points":[],"chapters":[],"topics":[],"duration_seconds":476,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/emergence-calculus-7710942/episodes/order-theoretic-closure-and-fixed-points/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/emergence-calculus-7710942/order-theoretic-closure-and-fixed-points.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}