{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='Is Mathematics INVENTED or DISCOVERED?' data-url='/boclips/videos/67487b2adee4aa07cedaf4ba' data-video-url='/boclips/videos/67487b2adee4aa07cedaf4ba' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nIs Mathematics INVENTED or DISCOVERED?\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30359304\" href=\"/search?publisher_ids%5B%5D=30359304\">Science ABC</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>The tale of mathematics is as old as humanity. It has evolved from simple math, like counting cattle, to an intricate study of an object through abstract concepts that we know today. It was not until 600 BC, when civilizations settled,...</span>\n<span class='full-description hide'>The tale of mathematics is as old as humanity. It has evolved from simple math, like counting cattle, to an intricate study of an object through abstract concepts that we know today. It was not until 600 BC, when civilizations settled, and various occupations began, that math began its initial development. Since then, more mathematicians have started working on expanding their understanding of mathematics. Yet, no one could find the one true answer to the big question: is mathematics a discovery or an invention? There were moments in the past when people discovered something that already existed when doing mathematics, and other times when people thought they invented equations and methods to write something that was simply going in their minds. The controversial debate between those who think mathematics is a discovery and those who think its an invention may go on forever. Given that the problem has existed for thousands of years, it is unlikely that this mystery will be resolved anytime soon. However, the truth remains that mathematics just doesnt care if we believe that it was invented, discovered, or if both played a role in its existence.</span>\n</div>\n<div class='action-container flex justify-between'>\n<button aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'>\n<i class='fai fa-solid fa-align-left'></i>\n<span id='read_more'>Read More</span>\n</button>\n<div class='rp-report'>\n</div>\n</div>\n<div aria-labelledby='resource-details-heading' class='rp-info-section'>\n<h2 class='title' id='resource-details-heading'>Resource Details</h2>\n<div class='rp-resource-details clearfix'>\n<div class='detail'>\n<dl>\n<dt>Curator Rating</dt>\n<dd><span class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"></i></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt class=\"educator-rating-title\">Educator Rating</dt><dd><div class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=87259197&amp;resourceable_type=Boclips%3A%3AVideoMetadata\"><span class=\"not-yet-rated\">Not yet Rated</span></div></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Length</dt>\n<dd>3:44</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Grade</dt><dd title=\"Grade\">Pre-K - Higher Ed</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Subjects</dt><dd><span><a href=\"/search?grade_ids%5B%5D=260&amp;grade_ids%5B%5D=261&amp;grade_ids%5B%5D=247&amp;grade_ids%5B%5D=248&amp;grade_ids%5B%5D=249&amp;grade_ids%5B%5D=250&amp;grade_ids%5B%5D=251&amp;grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;grade_ids%5B%5D=258&amp;grade_ids%5B%5D=259&amp;search_tab_id=1&amp;subject_ids%5B%5D=365221\">Science</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>5 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Type</dt><dd><span><a href=\"/search?grade_ids%5B%5D=260&amp;grade_ids%5B%5D=261&amp;grade_ids%5B%5D=247&amp;grade_ids%5B%5D=248&amp;grade_ids%5B%5D=249&amp;grade_ids%5B%5D=250&amp;grade_ids%5B%5D=251&amp;grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;grade_ids%5B%5D=258&amp;grade_ids%5B%5D=259&amp;search_tab_id=2&amp;type_ids%5B%5D=4543647\">Instructional Videos</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Source:</dt>\n<div class='preview-source' data-animation='true' data-boundary='.rp-info' data-container='.rp-resource-details' data-html='false' data-title='Science gets a bad rep as being boring, difficult and for very smart and boring people (see: nerds). But that doesn&#39;t have to be the case. At ScienceABC we believe that if science is communicated simply and made relatable and fun, it can be for everyone. As Micheal Jackson said best, &quot;as simple as ABC.&quot;' data-trigger='hover focus'>\n<span>ScienceABC</span>\n<i aria-hidden='true' class='fa-solid fa-circle-info channel-tooltip-icon' id='channel-tooltip'></i>\n</div>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Date</dt>\n<dd>2023</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<i aria-hidden='true' class='fai fa-solid fa-language'></i>\n<dt>Language</dt><dd>English</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Audiences</dt><dd><span><a href=\"/search?audience_ids%5B%5D=371079&amp;grade_ids%5B%5D=260&amp;grade_ids%5B%5D=261&amp;grade_ids%5B%5D=247&amp;grade_ids%5B%5D=248&amp;grade_ids%5B%5D=249&amp;grade_ids%5B%5D=250&amp;grade_ids%5B%5D=251&amp;grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;grade_ids%5B%5D=258&amp;grade_ids%5B%5D=259&amp;search_tab_id=1\">For Teacher Use</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>2 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Usage Permissions</dt><dd>Fine Print: Educational Use</dd>\n</dl>\n</div>\n</div>\n</div>\n<div aria-labelledby='additional-materials-heading' class='rp-info-section'>\n<h2 class='title' id='additional-materials-heading'>Additional Materials</h2>\n<div class='additional-material'>\n<i aria-hidden='true' class='fai fa-solid fa-lock'></i>\n<a class=\"text-muted\" title=\"Video Transcript\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript</a>\n</div>\n<div class='additional-material'>\n<i aria-hidden='true' class='fai fa-solid fa-lock'></i>\n<a class=\"text-muted\" title=\"Video Preview\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview</a>\n</div>\n</div>\n<div aria-labelledby='concepts-heading' class='rp-info-section'>\n<h2 class='title' id='concepts-heading'>Concepts</h2>\n<div class='clearfix'>\n<div class='details-list concepts' data-identifier='Boclips::VideoDecorator67487b2adee4aa07cedaf4ba' data-type='concepts'>plato, objects, time, philosophers, nature</div>\n<div class='concepts-toggle-buttons' data-identifier='Boclips::VideoDecorator67487b2adee4aa07cedaf4ba'>\n<button aria-expanded='false' class='more btn-link' type='button'>\n<span>Show More</span>\n<i aria-hidden='true' class='fa-solid fa-caret-down ml5'></i>\n</button>\n<button aria-expanded='true' class='less btn-link' style='display: none;' type='button'>\n<span>Show Less</span>\n<i aria-hidden='true' class='fa-solid fa-caret-up ml5'></i>\n</button>\n</div>\n</div>\n</div>\n<div aria-labelledby='additional-tags-heading' class='rp-info-section'>\n<h2 class='title' id='additional-tags-heading'>Additional Tags</h2>\n<div class='clearfix'>\n<div class='details-list keyterms' data-identifier='Boclips::VideoDecorator67487b2adee4aa07cedaf4ba' data-type='keyterms'>is mathematics invented or discovered, is math invented or discovered, was math invented or discovered, why was math invented, when was math invented, why math is invented, math invented or discovered, proof that math is discovered, mathematics discovered or invented, is mathematics a language, is mathematics a science, is mathematics the language of the universe, how mathematics was discovered, where mathematics comes from, was mathematics invented or discovered, math, maths, years ago, mathematics exists, people, world, humanity, study, invention, ideas, abstract, invented, exist, concepts, mathematics, working, existed, discovered, understand, universe, idea, mind, discover, thought, serve, purpose, rational, mathematics exist</div>\n<div class='keyterms-toggle-buttons' data-identifier='Boclips::VideoDecorator67487b2adee4aa07cedaf4ba'>\n<button aria-expanded='false' class='more btn-link' type='button'>\n<span>Show More</span>\n<i aria-hidden='true' class='fa-solid fa-caret-down ml5'></i>\n</button>\n<button aria-expanded='true' class='less btn-link' style='display: none;' type='button'>\n<span>Show Less</span>\n<i aria-hidden='true' class='fa-solid fa-caret-up ml5'></i>\n</button>\n</div>\n</div>\n</div>\n<div aria-labelledby='classroom-considerations-heading' class='rp-info-section'>\n<h2 class='title' id='classroom-considerations-heading'>Classroom Considerations</h2>\n<div class='classroom-considerations'><div class='fai fa-solid fa-bell'></div>Best For: Explaining a topic</div><div class='classroom-considerations'><div class='fai fa-solid fa-bell'></div>Video is ad-free</div> \n</div>\n<div aria-labelledby='educator-ratings-heading' class='rp-info-section'>\n<h2 class='title sr-only' id='educator-ratings-heading'>Educator Ratings</h2>\n<div id=\"educator-ratings-root\"></div><div id=\"all-educator-ratings-root\"></div><div id=\"educator-rating-form-root\"></div>\n</div>\n</div>\n<div class='rp-resource'>\n<div aria-label='Show resource details' class='rp-show-info' role='button' tabindex='0'>\n<i class='fai fa-solid fa-align-left'></i>\nShow resource details\n</div>\n<div aria-label='Video player' class='player' id='player-wrapper' role='region'>\n<div class='relative container mx-auto' id='lp-boclips-visitor-thumbnail'>\n<a class=\"block\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Is Mathematics INVENTED or DISCOVERED?\" href=\"/subscription/new\"><img class=\"resource-img img-thumbnail img-responsive z-10 lp-boclips-thumbnail w-full h-full lozad\" alt=\"Is Mathematics INVENTED or DISCOVERED?\" title=\"Is Mathematics INVENTED or DISCOVERED?\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"https://cdnapisec.kaltura.com/p/1776261/thumbnail/entry_id/1_a6faw6bm/width/250/vid_slices/3/vid_slice/1\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n<span aria-hidden='true' class='flex justify-center items-center bg-white rounded-full w-16 h-16 absolute top-1/2 left-1/2 -mt-8 -ml-8 cursor-pointer z-0 border-2 border-primary drop-shadow-md lp-boclips-thumbnail-playBtn'>\n<i class='fa-solid fa-play text-primary text-3xl ml-1 drop-shadow-xl'></i>\n</span>\n</a></div>\n</div>\n</div>\n</div>\n</div>\n</div>\n"}