Cardinality of Sets Discrete Maths Set Theory

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=CXq-UPSiLaM

Introduction to Cardinality, Finite Sets, Infinite Sets, Countable Sets, and a Countability Proof • Definition of Cardinality. Two sets A, B have the same cardinality if there is a bijection between them. • Definition of finite and infinite sets. • Definition of a cardinal number. • Discussion of Aleph-Naught. • Proof that the cardinality of the natural numbers is the same as the cardinality of the positive odd integers.","styleRuns":[{"startIndex":0,"length":99,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"},{"startIndex":99,"length":105,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"},{"startIndex":204,"length":40,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"},{"startIndex":244,"length":33,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"},{"startIndex":277,"length":28,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"},{"startIndex":305,"length":110,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}],"paragraphStyleRuns":[{"startIndex":99,"length":316,"listGroup":{"listType":"LIST_TYPE_BULLET","listItems":[{"listType":"LIST_TYPE_BULLET","startIndex":99,"length":105},{"listType":"LIST_TYPE_BULLET","startIndex":204,"length":40},{"listType":"LIST_TYPE_BULLET","startIndex":244,"length":33},{"listType":"LIST_TYPE_BULLET","startIndex":277,"length":28},{"listType":"LIST_TYPE_BULLET","startIndex":305,"length":110}]}}]},"headerRuns":[{"startIndex":0,"length":99,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"},{"startIndex":99,"length":105,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"},{"startIndex":204,"length":40,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"},{"startIndex":244,"length":33,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"},{"startIndex":277,"length":28,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"},{"startIndex":305,"length":110,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CPUBELsvGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0NYcS1VUFNpTGFNGAYyJSIRIgtDWHEtVVBTaUxhTTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CPUBELsvGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CPQBELovIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"oUw-XPLy-dc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/oUw-XPLy-dc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAqoEl0O5svjrIBviihd2UJ24XHnw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/oUw-XPLy-dc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBMF_l5LGo0rFTVm3a1tvxlJ9QgqA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Proof that Function Composition is Associative by The Math Sorcerer 9,366 views 2 years ago 4 minutes, 50 seconds"}},"simpleText":"Proof that Function Composition is Associative"},"longBylineText":{"runs":[{"text":"The Math Sorcerer","navigationEndpoint":{"clickTrackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheMathSorcerer","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCr7lmzIk63PZnBw3bezl-Mg","canonicalBaseUrl":"/@TheMathSorcerer"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"9,366 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 50 seconds"}},"simpleText":"4:50"},"navigationEndpoint":{"clickTrackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=oUw-XPLy-dc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"oUw-XPLy-dc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=a14c3e5cf2f2f9d7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1867500 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"The Math Sorcerer","navigationEndpoint":{"clickTrackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheMathSorcerer","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCr7lmzIk63PZnBw3bezl-Mg","canonicalBaseUrl":"/@TheMathSorcerer"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lPetcFBmgKr-Da_LwWlRfYaaOX2rJ1yJr6qkxE6gNn4gg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlJA1_PLl8_Lj6ahAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"9.3K views"}},"simpleText":"9.3K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPIBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPIBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oUw-XPLy-dc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPIBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oUw-XPLy-dc"],"params":"CAQ%3D"}},"videoIds":["oUw-XPLy-dc"]}},{"clickTrackingParams":"CPIBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPMBELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"CPIBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CPEBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"oUw-XPLy-dc","onAddCommand":{"clickTrackingParams":"CPEBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"oUw-XPLy-dc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CPEBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtvVXctWFBMeS1kYw%3D%3D","commands":[{"clickTrackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CPABEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"CO0BEKQwGAAiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 50 seconds"}},"simpleText":"4:50"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CO8BEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"oUw-XPLy-dc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CO8BEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"oUw-XPLy-dc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CO8BEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CO4BEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CO4BEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oUw-XPLy-dc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CO4BEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oUw-XPLy-dc"],"params":"CAQ%3D"}},"videoIds":["oUw-XPLy-dc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CO4BEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Proof that Function Composition is Associative - 4 minutes, 50 seconds - Go to channel - The Math Sorcerer - 9.3K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"iaUwNuaSLUk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/iaUwNuaSLUk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAtA1q9CPiSf5YJHybIMNW68_Zp9Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/iaUwNuaSLUk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCZu3Tj4MpMwMZRqsX30VIRCwxZOw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Cardinality of the Continuum by jHan 62,846 views 2 years ago 22 minutes"}},"simpleText":"Cardinality of the Continuum"},"longBylineText":{"runs":[{"text":"jHan","navigationEndpoint":{"clickTrackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jHan","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCPX4OLPrulGFE_c1FXZjwzg","canonicalBaseUrl":"/@jHan"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"62,846 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"22 minutes, 48 seconds"}},"simpleText":"22:48"},"navigationEndpoint":{"clickTrackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=iaUwNuaSLUk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"iaUwNuaSLUk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=89a53036e6922d49 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1867500 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"jHan","navigationEndpoint":{"clickTrackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jHan","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCPX4OLPrulGFE_c1FXZjwzg","canonicalBaseUrl":"/@jHan"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ruRy3zgKyj3aaUGq_7cXOlUfhXT3t5QC91tyUVPRfuGG8sdkbje7HCHFNBXdbEk7Zr-A15Rc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlJAydrItO6GzNKJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"62K views"}},"simpleText":"62K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COsBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COsBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iaUwNuaSLUk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COsBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iaUwNuaSLUk"],"params":"CAQ%3D"}},"videoIds":["iaUwNuaSLUk"]}},{"clickTrackingParams":"COsBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COwBELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"COsBEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COoBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"iaUwNuaSLUk","onAddCommand":{"clickTrackingParams":"COoBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"iaUwNuaSLUk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COoBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtpYVV3TnVhU0xVaw%3D%3D","commands":[{"clickTrackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COkBEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"COYBEKQwGAEiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"22 minutes, 48 seconds"}},"simpleText":"22:48"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COgBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"iaUwNuaSLUk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COgBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"iaUwNuaSLUk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COgBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COcBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COcBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"iaUwNuaSLUk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COcBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["iaUwNuaSLUk"],"params":"CAQ%3D"}},"videoIds":["iaUwNuaSLUk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COcBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Cardinality of the Continuum - 22 minutes - Go to channel - jHan - 62K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/iaUwNuaSLUk/mqdefault_6s.webp?du=3000 sqp=CJL6lL4G rs=AOn4CLBxv-DQ09kZypQvE9SwNEanXc-b5A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"5ZhNmKb-dqk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/5ZhNmKb-dqk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBM5nAvVGI0lxXUVfRVLmp9pcOv6w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/5ZhNmKb-dqk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCjRgT0x72OvXPp6b0_0k6qDdtkNg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Set Theory | All-in-One Video by Dr. Will Wood 1,127,372 views 3 years ago 29 minutes"}},"simpleText":"Set Theory | All-in-One Video"},"longBylineText":{"runs":[{"text":"Dr. Will Wood","navigationEndpoint":{"clickTrackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrWillWood","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCipYk6snJe0IaOvzSCWwTrw","canonicalBaseUrl":"/@DrWillWood"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"1,127,372 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"29 minutes, 24 seconds"}},"simpleText":"29:24"},"navigationEndpoint":{"clickTrackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=5ZhNmKb-dqk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"5ZhNmKb-dqk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=e5984d98a6fe76a9 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=207500 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Dr. Will Wood","navigationEndpoint":{"clickTrackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrWillWood","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCipYk6snJe0IaOvzSCWwTrw","canonicalBaseUrl":"/@DrWillWood"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/m1sLx8MJFTRqKOn3aV2dD3d68sOpAolXDpIKEATO7xRFm7-Hby_KDI_vAifchSnBARMK50Pe=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlJAqe35t4qzk8zlAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.1 million views"}},"simpleText":"1.1M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COQBEP6YBBgFIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COQBEP6YBBgFIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5ZhNmKb-dqk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COQBEP6YBBgFIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5ZhNmKb-dqk"],"params":"CAQ%3D"}},"videoIds":["5ZhNmKb-dqk"]}},{"clickTrackingParams":"COQBEP6YBBgFIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COUBELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"COQBEP6YBBgFIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COMBENGqBRgGIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"5ZhNmKb-dqk","onAddCommand":{"clickTrackingParams":"COMBENGqBRgGIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"5ZhNmKb-dqk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COMBENGqBRgGIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs1WmhObUtiLWRxaw%3D%3D","commands":[{"clickTrackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COIBEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"CN8BEKQwGAIiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"29 minutes, 24 seconds"}},"simpleText":"29:24"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COEBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"5ZhNmKb-dqk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COEBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"5ZhNmKb-dqk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COEBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COABEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COABEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5ZhNmKb-dqk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COABEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5ZhNmKb-dqk"],"params":"CAQ%3D"}},"videoIds":["5ZhNmKb-dqk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COABEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Set Theory | All-in-One Video - 29 minutes - Go to channel - Dr. Will Wood - 1.1M views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Z_Rr4d-3fFY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Z_Rr4d-3fFY/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLD8b8aWlcbggjx0Krt153cly6fhag","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Z_Rr4d-3fFY/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAYKrrPMazmT-LN-OHfCrraPGT24w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Countable and Uncountable Sets - Discrete Mathematics by TrevTutor 77,775 views 2 years ago 10 minutes, 2 seconds"}},"simpleText":"Countable and Uncountable Sets - Discrete Mathematics"},"longBylineText":{"runs":[{"text":"TrevTutor","navigationEndpoint":{"clickTrackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Trevtutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCGYSfZbPp3BiAFs531PBY7g","canonicalBaseUrl":"/@Trevtutor"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"77,775 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minutes, 2 seconds"}},"simpleText":"10:02"},"navigationEndpoint":{"clickTrackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Z_Rr4d-3fFY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Z_Rr4d-3fFY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=67f46be1dfb77c56 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=207500 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"TrevTutor","navigationEndpoint":{"clickTrackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Trevtutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCGYSfZbPp3BiAFs531PBY7g","canonicalBaseUrl":"/@Trevtutor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ozXBkwBDPptThtZjF5hyXcadEzngzVvgHTMTec18pbi5V1G7ZYH5Q1aAKTBvNprKwk2ANuAODg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlJA1vjd_Z38mvpn","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"77K views"}},"simpleText":"77K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CN0BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CN0BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z_Rr4d-3fFY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CN0BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z_Rr4d-3fFY"],"params":"CAQ%3D"}},"videoIds":["Z_Rr4d-3fFY"]}},{"clickTrackingParams":"CN0BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CN4BELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"CN0BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNwBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"Z_Rr4d-3fFY","onAddCommand":{"clickTrackingParams":"CNwBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"Z_Rr4d-3fFY","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNwBENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtaX1JyNGQtM2ZGWQ%3D%3D","commands":[{"clickTrackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNsBEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"CNgBEKQwGAMiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minutes, 2 seconds"}},"simpleText":"10:02"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNoBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Z_Rr4d-3fFY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNoBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Z_Rr4d-3fFY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNoBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNkBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNkBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z_Rr4d-3fFY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNkBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z_Rr4d-3fFY"],"params":"CAQ%3D"}},"videoIds":["Z_Rr4d-3fFY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNkBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Countable and Uncountable Sets - Discrete Mathematics - 10 minutes, 2 seconds - Go to channel - TrevTutor - 77K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"-P1zMabaQi8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/-P1zMabaQi8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCAKXDuPgyRfofCt_y96IOOKjf4Dw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/-P1zMabaQi8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDc_lb10D9IcJm9RmztuXrPQDgKzA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Power Sets and the Cardinality of the Continuum by Dr. Trefor Bazett 30,657 views 3 years ago 14 minutes, 43 seconds"}},"simpleText":"Power Sets and the Cardinality of the Continuum"},"longBylineText":{"runs":[{"text":"Dr. Trefor Bazett","navigationEndpoint":{"clickTrackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrTrefor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9rTsvTxJnx1DNrDA3Rqa6A","canonicalBaseUrl":"/@DrTrefor"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"30,657 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 43 seconds"}},"simpleText":"14:43"},"navigationEndpoint":{"clickTrackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-P1zMabaQi8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-P1zMabaQi8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f8fd7331a6da422f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=931250 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Dr. Trefor Bazett","navigationEndpoint":{"clickTrackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrTrefor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9rTsvTxJnx1DNrDA3Rqa6A","canonicalBaseUrl":"/@DrTrefor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lAOi_1eAO-NKrsecIaYKpj05qQlLen6MFoxZv0kp-NWw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlJAr4Tptprm3P74AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"30K views"}},"simpleText":"30K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNYBEP6YBBgHIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNYBEP6YBBgHIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-P1zMabaQi8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNYBEP6YBBgHIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-P1zMabaQi8"],"params":"CAQ%3D"}},"videoIds":["-P1zMabaQi8"]}},{"clickTrackingParams":"CNYBEP6YBBgHIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNcBELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"CNYBEP6YBBgHIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNUBENGqBRgIIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"-P1zMabaQi8","onAddCommand":{"clickTrackingParams":"CNUBENGqBRgIIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"-P1zMabaQi8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNUBENGqBRgIIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgstUDF6TWFiYVFpOA%3D%3D","commands":[{"clickTrackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNQBEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"CNEBEKQwGAQiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 43 seconds"}},"simpleText":"14:43"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNMBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"-P1zMabaQi8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNMBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"-P1zMabaQi8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNMBEPnnAxgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNIBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNIBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-P1zMabaQi8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNIBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-P1zMabaQi8"],"params":"CAQ%3D"}},"videoIds":["-P1zMabaQi8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNIBEMfsBBgDIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Power Sets and the Cardinality of the Continuum - 14 minutes, 43 seconds - Go to channel - Dr. Trefor Bazett - 30K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/-P1zMabaQi8/mqdefault_6s.webp?du=3000 sqp=CKTWlL4G rs=AOn4CLBzCIM_45UvaewmgQwE5m-Cyb6gwg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"EefImppChJk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/EefImppChJk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA4_oalsaiBFm5m8uJbrc_k9DYEWw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/EefImppChJk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDbVZRsPo0cNxv1HXe3otA5wYJxiQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lecture 36/65: Infinity: Countable and Uncountable by hhp3 73,040 views 10 years ago 22 minutes"}},"simpleText":"Lecture 36/65: Infinity: Countable and Uncountable"},"longBylineText":{"runs":[{"text":"hhp3","navigationEndpoint":{"clickTrackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@hhp3","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5029sGTV3cQWk9gh90X6-Q","canonicalBaseUrl":"/@hhp3"}}}]},"publishedTimeText":{"simpleText":"10 years ago"},"viewCountText":{"simpleText":"73,040 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"22 minutes"}},"simpleText":"22:00"},"navigationEndpoint":{"clickTrackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWRIo9uIpY_Kr70JmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=EefImppChJk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"EefImppChJk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=11e7c89a9a428499 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1867500 mt=1740980221 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MA rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"hhp3","navigationEndpoint":{"clickTrackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@hhp3","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5029sGTV3cQWk9gh90X6-Q","canonicalBaseUrl":"/@hhp3"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kLlFFEEdP3KInVOimsLpmYiANrRBKC62cVf5SsVI29hus=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlJAmYmK0qmT8vMR","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"73K views"}},"simpleText":"73K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CM8BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM8BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EefImppChJk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM8BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EefImppChJk"],"params":"CAQ%3D"}},"videoIds":["EefImppChJk"]}},{"clickTrackingParams":"CM8BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNABELlqIhMIusq8m5rtiwMVknR6BR1hSBpS"}},"popupType":"TOAST"}}]}},"trackingParams":"CM8BEP6YBBgGIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CM4BENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","offlineVideoEndpoint":{"videoId":"EefImppChJk","onAddCommand":{"clickTrackingParams":"CM4BENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS","getDownloadActionCommand":{"videoId":"EefImppChJk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CM4BENGqBRgHIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtFZWZJbXBwQ2hKaw%3D%3D","commands":[{"clickTrackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CM0BEI5iIhMIusq8m5rtiwMVknR6BR1hSBpS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlI=","hasSeparator":true}}],"trackingParams":"CMoBEKQwGAUiEwi6yrybmu2LAxWSdHoFHWFIGlI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"22 minutes"}},"simpleText":"22:00"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMwBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"EefImppChJk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMwBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"EefImppChJk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMwBEPnnAxgBIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMsBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMsBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EefImppChJk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMsBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EefImppChJk"],"params":"CAQ%3D"}},"videoIds":["EefImppChJk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMsBEMfsBBgCIhMIusq8m5rtiwMVknR6BR1hSBpS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Lecture 36/65: Infinity: Countable and Uncountable - 22 minutes - Go to channel - hhp3 - 73K views - 10 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/EefImppChJk/mqdefault_6s.webp?du=3000 sqp=CKL_lL4G rs=AOn4CLC8v0TOSw--_CtoSKZfiKHr0av7Dg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/tyDKR4FG3Yw/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDxkyLMqL__05gSgce8QkZhhFl68w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/tyDKR4FG3Yw/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCKv59e7fHh4qlmgAlzZzKlHenkqQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"88 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":464179,"darkTheme":464179}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":861785,"darkTheme":861785}}},"stackColor":{"lightTheme":7043737,"darkTheme":7765907}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Discrete Math (Sets, Logic, Proofs, Relations, Counting, Number Theory, Functions)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"TrevTutor

#############################