[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fyCIfrdQsOC9m1gDc26vu9TprQZqBkmCPEYETm_ppcuw":3,"$fCVdhxIemthi9KdX6bcPzgQjfY-wXTDm6YZOaoMMTRHo":16},{"author":4,"tags":11},{"author_id":5,"author_name":6,"author_name_first_letter":7,"article_count":8,"bio":9,"short_bio":9,"slug":10,"image_url":9},53975,"Edward Frenkel","E",12,null,"edward-frenkel",[12],{"tag_id":13,"tag_name":14,"tag_count":15},2547,"mathematics",5,{"quotes":17,"pagination":124},[18,26,32,38,44,50,57,77,96,110],{"id":19,"quote_text":20,"author_id":5,"source_id":21,"has_image":22,"author":23,"source":24,"quote_tag":25,"commentary":9},2998259,"It’s rare, he says, that we “encounter a person who asserts vehemently that the mere thought of reading a novel, or looking at a picture, or seeing a movie causes him insufferable torment,” but “sensible, educated people” often say “with a remarkable blend of defiance and pride” that math is “pure torture” or a “nightmare” that “turns them off.",6,false,{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],{"id":27,"quote_text":28,"author_id":5,"source_id":21,"has_image":22,"author":29,"source":30,"quote_tag":31,"commentary":9},2998245,"As someone told me later, writing papers was the punishment we had to endure for the thrill of discovering new mathematics. This was the first time I was so punished.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],{"id":33,"quote_text":34,"author_id":5,"source_id":21,"has_image":22,"author":35,"source":36,"quote_tag":37,"commentary":9},2998231,"That’s because, if correct, a mathematical formula expresses an eternal truth about the universe. Hence no one can claim ownership of it; it is ours to share. Rich or poor, black or white, young or old – no one can take these formulas away from us. Nothing in this world is so profound and elegant, and yet so available to all.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],{"id":39,"quote_text":40,"author_id":5,"source_id":21,"has_image":22,"author":41,"source":42,"quote_tag":43,"commentary":9},2998220,"The laws of Nature are written in the language of mathematics.” Math is a way to describe reality and figure out how the world works, a universal language that has become the gold standard of truth. In our world, increasingly driven by science and technology, mathematics is becoming, ever more, the source of power, wealth, and progress. Hence those who are fluent in this new language will be on the cutting edge of progress.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],{"id":45,"quote_text":46,"author_id":5,"source_id":21,"has_image":22,"author":47,"source":48,"quote_tag":49,"commentary":9},2998214,"The fact that these highly abstract notions coalesce in such refined harmony is absolutely mind-boggling. It points to something rich and mysterious lurking beneath the surface, as if the curtain had been lifted and we caught glimpses of the reality that had been carefully hidden from us. These are the wonders of modern math, and of the modern world.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],{"id":51,"quote_text":52,"author_id":5,"source_id":21,"has_image":22,"author":53,"source":54,"quote_tag":55,"commentary":56},2998210,"As the story goes, Albert Einstein’s wife Elsa remarked, upon hearing that a telescope at the Mount Wilson Observatory was needed to determine the shape of space-time: “Oh, my husband does this on the back of an old envelope.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[],"**The Backstory**\nIn the early 20th century, Albert Einstein was at the pinnacle of his career, having just introduced his groundbreaking theory of general relativity. The quote from Elsa Einstein reflects the humble beginnings of Einstein's work, which was often done on scraps of paper, napkins, and other ephemeral surfaces. This era marked a significant shift in the way scientists approached problem-solving, emphasizing intuition and creative thinking over traditional academic rigor.\n\n**The Hidden Insight**\nThe quote reveals a counter-intuitive truth about the nature of creativity and innovation: that some of the most profound breakthroughs can arise from the simplest, most mundane situations. By working on the \"back of an old envelope,\" Einstein illustrates that the boundaries between high-stakes problem-solving and everyday life are often blurred, and that even the most complex ideas can be born from the most ordinary circumstances.\n\n**How to Use This**\nTo tap into this mindset, try incorporating \"low-stakes\" creative exercises into your daily routine, such as jotting down ideas on a napkin or scribbling equations on a coffee shop receipt. By embracing the impermanence and informality of these moments, you may find that your most innovative ideas emerge from the unlikeliest of places.",{"id":58,"quote_text":59,"author_id":5,"source_id":60,"has_image":22,"author":61,"source":62,"quote_tag":63,"commentary":9},529267,"It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.",2,{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[64,69,74],{"id":65,"tag":66},2906491,{"id":67,"tag_name":68},25,"love",{"id":70,"tag":71},2906490,{"id":72,"tag_name":73},576,"humour",{"id":75,"tag":76},2906492,{"id":13,"tag_name":14},{"id":78,"quote_text":79,"author_id":5,"source_id":60,"has_image":22,"author":80,"source":81,"quote_tag":82,"commentary":9},528687,"That's because, if correct, a mathematical formula expresses an eternal truth about the universe. Hence no one can claim ownership of it; it is ours to share. Rich or poor, black or white, young or old - no one can take these formulas away from us. Nothing in this world is so profound and elegant, and yet so available to all.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[83,88,91],{"id":84,"tag":85},2904236,{"id":86,"tag_name":87},713,"truth",{"id":89,"tag":90},2904235,{"id":13,"tag_name":14},{"id":92,"tag":93},2904234,{"id":94,"tag_name":95},11258,"formula",{"id":97,"quote_text":98,"author_id":5,"source_id":60,"has_image":22,"author":99,"source":100,"quote_tag":101,"commentary":9},528162,"Where there is no mathematics, there is no freedom.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[102,107],{"id":103,"tag":104},2902341,{"id":105,"tag_name":106},2546,"math",{"id":108,"tag":109},2902342,{"id":13,"tag_name":14},{"id":111,"quote_text":112,"author_id":5,"source_id":60,"has_image":22,"author":113,"source":114,"quote_tag":115,"commentary":9},527670,"Nunca se sabe, con ningún problema matemático, lo que se necesitará para solucionarlo. Esperas y rezas por ser capaz de hallar una solución bonita y elegante, y descubrir, quizá, algo interesante a lo largo del camino.",{"id":5,"author_name":6,"slug":10,"author_name_first_letter":7,"article_count":8,"image_url":9},{},[116,119],{"id":117,"tag":118},2900641,{"id":13,"tag_name":14},{"id":120,"tag":121},2900642,{"id":122,"tag_name":123},8518,"solving-problems",{"currentPage":125,"totalPages":60,"totalItems":8,"itemsPerPage":126},1,10]