entailment validity and refutation

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=2M-K5OjVgYQ

This describes how logical entailment works.","styleRuns":[{"startIndex":0,"length":44,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":44,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMkBELsvGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzJNLUs1T2pWZ1lRGAYyJSIRIgsyTS1LNU9qVmdZUTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMkBELsvGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMgBELovIhMI2rThn8PtiwMVsPhCBR376SsJ"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"zOCTxedhf_c","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/zOCTxedhf_c/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAdxnHPIMYaSBew8X5OSMyAj45bAg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/zOCTxedhf_c/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLAeffNZ1D9Uqb_yOTjtSdKX4prYIQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"knowledge base agents (logical) and a bit of entailment by Francisco Iacobelli 64,339 views 9 years ago 20 minutes"}},"simpleText":"knowledge base agents (logical) and a bit of entailment"},"longBylineText":{"runs":[{"text":"Francisco Iacobelli","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@fiacobelli","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzO8FFsWxGdzr1rMAPtbUog","canonicalBaseUrl":"/@fiacobelli"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"64,339 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"20 minutes, 1 second"}},"simpleText":"20:01"},"navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWRIhIPWxs7c4ufYAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=zOCTxedhf_c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"zOCTxedhf_c","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---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=cce093c5e7617ff7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1763750 mt=1740991259 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NA rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Francisco Iacobelli","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@fiacobelli","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzO8FFsWxGdzr1rMAPtbUog","canonicalBaseUrl":"/@fiacobelli"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lDpTwRy8_cFZu1VMJJboJ-Y6S73UwNgqEhkduV3MVARg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwlA9_-Fu974pPDMAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"64K views"}},"simpleText":"64K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMYBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"zOCTxedhf_c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["zOCTxedhf_c"],"params":"CAQ%3D"}},"videoIds":["zOCTxedhf_c"]}},{"clickTrackingParams":"CMYBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMcBELlqIhMI2rThn8PtiwMVsPhCBR376SsJ"}},"popupType":"TOAST"}}]}},"trackingParams":"CMYBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt6T0NUeGVkaGZfYw%3D%3D","commands":[{"clickTrackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMUBEI5iIhMI2rThn8PtiwMVsPhCBR376SsJ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwk=","hasSeparator":true}}],"trackingParams":"CMIBEKQwGAAiEwjatOGfw-2LAxWw-EIFHfvpKwk=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"20 minutes, 1 second"}},"simpleText":"20:01"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"zOCTxedhf_c","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"zOCTxedhf_c"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMQBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMMBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMMBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"zOCTxedhf_c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMMBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["zOCTxedhf_c"],"params":"CAQ%3D"}},"videoIds":["zOCTxedhf_c"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMMBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"knowledge base agents (logical) and a bit of entailment - 20 minutes - Go to channel - Francisco Iacobelli - 64K views - 9 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"73AUBVOW-sM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/73AUBVOW-sM/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgBggWAAuADigIMCAAQARhGIEIocjAP rs=AOn4CLAzynkHKsEzs7QK8CAe1zqZ8lAEWg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/73AUBVOW-sM/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4AYIFgALgA4oCDAgAEAEYRiBCKHIwDw== rs=AOn4CLBckzyrQmrzHF5b6r4PygBUBg9LxA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"FOL (First Order Logic) by Francisco Iacobelli 163,492 views 9 years ago 21 minutes"}},"simpleText":"FOL (First Order Logic)"},"longBylineText":{"runs":[{"text":"Francisco Iacobelli","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@fiacobelli","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzO8FFsWxGdzr1rMAPtbUog","canonicalBaseUrl":"/@fiacobelli"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"163,492 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"21 minutes, 23 seconds"}},"simpleText":"21:23"},"navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWRIhIPWxs7c4ufYAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=73AUBVOW-sM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"73AUBVOW-sM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=ef7014055396fac3 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1945000 mt=1740991259 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NA rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Francisco Iacobelli","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@fiacobelli","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzO8FFsWxGdzr1rMAPtbUog","canonicalBaseUrl":"/@fiacobelli"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lDpTwRy8_cFZu1VMJJboJ-Y6S73UwNgqEhkduV3MVARg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwlAw_XbnNWAhbjvAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"163K views"}},"simpleText":"163K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMABEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMABEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"73AUBVOW-sM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMABEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["73AUBVOW-sM"],"params":"CAQ%3D"}},"videoIds":["73AUBVOW-sM"]}},{"clickTrackingParams":"CMABEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMEBELlqIhMI2rThn8PtiwMVsPhCBR376SsJ"}},"popupType":"TOAST"}}]}},"trackingParams":"CMABEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs3M0FVQlZPVy1zTQ%3D%3D","commands":[{"clickTrackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL8BEI5iIhMI2rThn8PtiwMVsPhCBR376SsJ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwk=","hasSeparator":true}}],"trackingParams":"CLwBEKQwGAEiEwjatOGfw-2LAxWw-EIFHfvpKwk=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"21 minutes, 23 seconds"}},"simpleText":"21:23"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"73AUBVOW-sM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"73AUBVOW-sM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"73AUBVOW-sM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["73AUBVOW-sM"],"params":"CAQ%3D"}},"videoIds":["73AUBVOW-sM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"FOL (First Order Logic) - 21 minutes - Go to channel - Francisco Iacobelli - 163K views - 9 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"5NGKbiA04Cw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/5NGKbiA04Cw/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCrMoNIrYaoVUBVFtR_ZM8cV6kqpw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/5NGKbiA04Cw/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDumqEp__6gcsOiwYGgV50rcbhlIQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"An Introduction to Propositional Logic by Spanning Tree 119,694 views 2 years ago 10 minutes, 32 seconds"}},"simpleText":"An Introduction to Propositional Logic"},"longBylineText":{"runs":[{"text":"Spanning Tree","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@SpanningTree","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCDzVUXiTr3hClI-zzCWbYzg","canonicalBaseUrl":"/@SpanningTree"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"119,694 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minutes, 32 seconds"}},"simpleText":"10:32"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWRIhIPWxs7c4ufYAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=5NGKbiA04Cw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"5NGKbiA04Cw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=e4d18a6e2034e02c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1763750 mt=1740991259 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE1NA rxtags=Cg4KAnR4Egg1MTM5MzE1NA%2CCg4KAnR4Egg1MTM5MzE1NQ%2CCg4KAnR4Egg1MTM5MzE1Ng%2CCg4KAnR4Egg1MTM5MzE1Nw%2CCg4KAnR4Egg1MTM5MzE1OA"}}}}},"shortBylineText":{"runs":[{"text":"Spanning Tree","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwkyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@SpanningTree","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCDzVUXiTr3hClI-zzCWbYzg","canonicalBaseUrl":"/@SpanningTree"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/5gIZzhLppqzpN9CbMA0sMax2yimESCzONJnJIrLcB-g-92u8bJzDW7XbRYtPrifa_SusttimIw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwlArMDTgeLN4ujkAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"119K views"}},"simpleText":"119K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLoBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLoBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5NGKbiA04Cw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLoBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5NGKbiA04Cw"],"params":"CAQ%3D"}},"videoIds":["5NGKbiA04Cw"]}},{"clickTrackingParams":"CLoBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLsBELlqIhMI2rThn8PtiwMVsPhCBR376SsJ"}},"popupType":"TOAST"}}]}},"trackingParams":"CLoBEP6YBBgFIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs1TkdLYmlBMDRDdw%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMI2rThn8PtiwMVsPhCBR376SsJ","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAIiEwjatOGfw-2LAxWw-EIFHfvpKwk=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minutes, 32 seconds"}},"simpleText":"10:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"5NGKbiA04Cw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"5NGKbiA04Cw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5NGKbiA04Cw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5NGKbiA04Cw"],"params":"CAQ%3D"}},"videoIds":["5NGKbiA04Cw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMI2rThn8PtiwMVsPhCBR376SsJ"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"An Introduction to Propositional Logic - 10 minutes, 32 seconds - Go to channel - Spanning Tree - 119K views - 2 years ago - play video"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/2M-K5OjVgYQ/hqdefault.jpg?sqp=-oaymwEwCKgBEF5IWvKriqkDIwgBFQAAiEIYAfABAfgBggWAAuADigIMCAAQARhIIEQocjAP rs=AOn4CLADZ9x2bUU-JpxNjKgCdDO0MHeDuQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/2M-K5OjVgYQ/hqdefault.jpg?sqp=-oaymwExCNACELwBSFryq4qpAyMIARUAAIhCGAHwAQH4AYIFgALgA4oCDAgAEAEYSCBEKHIwDw== rs=AOn4CLDe1FKqW3mx-8MSAnhjch8kXk411A","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"6 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2104883,"darkTheme":2104883}}}],"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":3157324,"darkTheme":3157324}}},"stackColor":{"lightTheme":7236505,"darkTheme":8354971}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"AI - Logical Agents (Wupus World)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Ataa

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

New on site