{"podcast":{"title":"Proof Positive","slug":"proof-positive-7769387","podcast_index_feed_id":7769387,"rss_url":"https://feeds.megaphone.fm/PODAGEN1376325340","website_url":null,"image_url":"https://megaphone.imgix.net/podcasts/888b1f84-0357-11f1-befc-ab71d1d198c5/image/70b2158e31ae217cacd060fb38c52caa.png?ixlib=rails-4.3.1&max-w=3000&max-h=3000&fit=crop&auto=format,compress","author":"Daniel Torres","episode_count":108,"summary":"What happens when the official story doesn't add up? Join Daniel Torres as he picks apart the cases, scandals, and mysteries that everyone else stopped asking questions about. This isn't your typical true crime podcast — it's investigative documentary work that digs into current events, historical cover-ups, and social issues that deserve a second look. Daniel spent eight years as a freelance journalist chasing down everything from small-town corruption to corporate whistleblowers. He started this podcast because the best stories always had too many layers for a newspaper article. Now he's using that same dogged reporting to unpack the investigations that matter, the ones that got buried, and the ones that are still happening right now. Each episode is a deep dive into real documentation — court filings, leaked memos, forgotten archives. You'll hear the actual evidence, not just opinions about it. Daniel breaks down complex cases so you can understand what really went down and why it matters today. Sometimes he even convinces his neighbors to share their weird hobbies, which honestly makes for surprisingly good radio. Ready to question everything you thought you knew? Follow Proof…","last_synced_at":"2026-07-27T18:19:49.347648+00:00","page_url":"https://stenobird.com/podcast/proof-positive-7769387"},"episode":{"title":"How Ramanujan Discovered Math Theorems Without Formal Training","slug":"how-ramanujan-discovered-math-theorems-without-formal-training","published_at":"2026-07-12T21:48:00+00:00","page_url":"https://stenobird.com/podcast/proof-positive-7769387/how-ramanujan-discovered-math-theorems-without-formal-training","show_page_url":"https://stenobird.com/podcast/proof-positive-7769387","url":"https://traffic.megaphone.fm/PODAGEN6385738758.mp3?updated=1776260281","audio_url":"https://traffic.megaphone.fm/PODAGEN6385738758.mp3?updated=1776260281","summary":"A self-taught Indian clerk with no formal training somehow cracked mathematical mysteries that stumped Cambridge professors for decades. Srinivasa Ramanujan discovered over 3,000 theorems using just one textbook and pure intuition. Daniel Torres investigates how the education system failed one of history's greatest mathematical minds. Ramanujan's story isn't just about genius. It's about a system so rigid it couldn't recognize brilliance when it didn't fit the mold. He failed college twice because he only cared about math, ignoring everything else. Meanwhile, he was quietly solving problems that wouldn't be understood until the computer age. 🎯 What You'll Learn: • How Ramanujan discovered infinite series and partition functions without knowing they existed • Why Cambridge's G.H. Hardy called him the most naturally gifted mathematician he'd ever met • The tragic role poverty and colonial prejudice played in cutting short his revolutionary work • How his \"failed\" intuitive methods are now used in modern physics and computer science 👤 Perfect for: anyone who's ever felt like their unconventional thinking wasn't valued by traditional institutions. 📍 Chapters: [00:00] Daniel Torres introduces the clerk who outsmarted Cambridge [02:15] The one textbook that launched a mathematical revolution [04:45] Why failing college was actually Ramanujan's greatest asset [07:30] The letter that shocked the British mathematical establishment [09:45] How racism and poverty killed a genius at 32 [11:30] Why his \"unproven\" work is still changing science today This episode proves that sometimes the most important discoveries come from people who think completely differently. Ramanujan's methods seemed impossible, but his results were undeniably correct. 🔔 Never miss an episode: Follow Proof P…","meta_description":"A self-taught Indian clerk with no formal training somehow cracked mathematical mysteries that stumped Cambridge professors for decades. Srinivasa Ramanuj…","key_points":[],"chapters":[],"topics":[],"duration_seconds":744,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/proof-positive-7769387/episodes/how-ramanujan-discovered-math-theorems-without-formal-training/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/proof-positive-7769387/how-ramanujan-discovered-math-theorems-without-formal-training.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}