• 2 months ago
Transcript
00:00:00Hello friends, welcome to Humanology 2086. Happy Wednesday. Let's do some pull-ups.
00:00:10Okay. Okay.
00:00:29Alright.
00:00:36Okay.
00:00:52That's good.
00:00:54Okay.
00:01:15Okay.
00:01:20That's good.
00:01:30Yeah, I used to do more but...
00:01:34Yeah, my right shoulder injury, I'm still recovering.
00:01:38But it's almost recovered so that's why I'm slowly building it up.
00:01:43Okay, just slowly.
00:01:54Yeah, should be enough.
00:01:58Warm up, warm down.
00:02:02Good, very good.
00:02:07Yeah, 5 minutes break please, thank you.
00:02:09Nice.
00:02:12Okay.
00:02:15Very good.
00:02:21Uh-huh.
00:02:29Okay.
00:02:34Yeah, 5 minutes, thank you.
00:02:50Yeah, I put cushion in there because there's like a wooden edge in case I fall onto it.
00:02:55Yeah, that's why I put cushion in there, okay, yeah.
00:03:02Okay.
00:03:08Uh-huh.
00:03:21Okay.
00:03:41Okay.
00:04:01Okay.
00:04:21Okay.
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00:05:01Okay.
00:05:28Okay.
00:05:36Welcome back.
00:05:42Welcome back to Humanology episode...
00:05:572086, okay, okay.
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00:07:06All right we're good.
00:07:07I'm in
00:07:14stuff and you're exercising, right?
00:07:17And so I listened to the excerpt of a former first lady,
00:07:25Michelle Obama's speech in the DNC.
00:07:29So she made this joke.
00:07:32Yeah, Donald J. Trump is going after black job.
00:07:35Yeah, the presidency, right?
00:07:36Because Barack Obama is black and he was president.
00:07:40So, okay.
00:07:42Because Trump is saying like,
00:07:46illegal immigrants going after black job.
00:07:48He's saying like no paying jobs for 40 minutes, right?
00:07:50But yeah, the African-American female Olympic gold medalist,
00:07:58she said it was Simone Biles, I think, her name.
00:08:02And she said, I love my black job, okay, yeah.
00:08:06Okay, yeah.
00:08:09And what else?
00:08:17Oh, this Australia broadcasting company,
00:08:22ABC, but not American one, but Australian one in YouTube.
00:08:29The Australian Broadcasting Company, ABC, okay.
00:08:33I looked at, after I watched their documentaries,
00:08:40program them four corners, okay.
00:08:42Yeah, so they did some documentary about like Trump
00:08:47and oh, that was good.
00:08:49It was a third neutral party's point of view from Australia
00:08:53looking at American politics.
00:08:54So very objective journalism there, okay.
00:08:57Yeah, that was fantastic.
00:09:00Yeah.
00:09:03Okay, and we gonna grab a whiteboard.
00:09:14Yeah, and continue with fraction algebra.
00:09:23Let's use this one.
00:09:33Ooh.
00:09:39Okay.
00:09:42Yeah.
00:09:44This platform, I think, let's analyze this, okay.
00:09:51Okay.
00:09:58Yeah, we had a lot of fun there.
00:10:01Earlier this year.
00:10:07So, alcohol is, some people call it alcohol as depressant,
00:10:13but it isn't.
00:10:14What alcohol is, is it induces this fluminousism.
00:10:21At first, the buzz, when I'm drunk with alcohol,
00:10:26yeah, it feels good, right?
00:10:30But after that, it kind of feels bad, right?
00:10:33So, fluminousism, okay?
00:10:35Yeah, that's what alcohol induces.
00:10:37Okay, the separation of copium level.
00:10:40Okay, yeah.
00:10:50Some say like eating sugar causes depression.
00:10:53I mean, it feels, eating sugar,
00:10:55if it feels good, then it feels bad.
00:10:57Eating pizza, same way, okay?
00:10:59Yeah.
00:11:01Yeah.
00:11:02It's separation of copium level, okay?
00:11:05Fluminousism in human allergy, okay?
00:11:09Because feelings are relative, right?
00:11:11Yeah, that's what it is.
00:11:17Okay.
00:11:20Okay.
00:11:21Now, let's define the spirit, okay?
00:11:23Thank you.
00:11:24Yeah, we'll get back to mathematics after that.
00:11:27Well, maybe I should have erased it after five minutes.
00:11:31Yeah, whatever, that's fine.
00:11:33That would have recorded it.
00:11:35Okay.
00:11:36Oh, I don't need to do that.
00:11:38It's blocks my voice.
00:11:40Okay, five minutes, okay?
00:11:41Thank you.
00:11:56Okay.
00:12:26Okay.
00:12:56Okay.
00:13:26Okay.
00:13:56Okay.
00:14:21Okay.
00:14:26Let's see.
00:14:35So, also, like,
00:14:38in, like, adult entertainment setting,
00:14:42like, post, like, orgasmic chill, or, like,
00:14:48I'm, yeah, it's the fluminousism, okay?
00:14:51It's nothing wrong.
00:14:53It's just natural, okay?
00:14:57Yeah.
00:14:58Nothing wrong there, okay?
00:15:00Okay.
00:15:01Okay.
00:15:04Now.
00:15:10We'll get back to mathematics.
00:15:11Let me drink some water for a little bit.
00:15:13Start drinking.
00:15:15Grab some tongs.
00:15:23Okay.
00:15:38Yes, so, our goal is to find, like,
00:15:42distributive law, and also proof,
00:15:44distributive laws for ceiling,
00:15:49like, fractions, upper function,
00:15:52and, like, couple of more function,
00:15:56and flooring function, right?
00:15:58Before that, we need to step back, okay?
00:16:01Yeah.
00:16:01That's what I realized yesterday, right?
00:16:04Okay.
00:16:10Okay.
00:16:15For example,
00:16:23what would be the relationship of flooring of minus x?
00:16:29How can we get this minus sign
00:16:30outside of this flooring function, okay?
00:16:32So, okay.
00:16:35This sounds really cool.
00:16:39Yeah.
00:16:40Some, even minus,
00:16:43curling outside of this flooring function,
00:16:47something like that, okay?
00:16:48So let's explore that.
00:16:50For example,
00:16:52flooring of minus 1.7 minus 2, okay?
00:17:08Yeah.
00:17:14Which is
00:17:19minus
00:17:22minus
00:17:27flooring of
00:17:291.7
00:17:37plus
00:17:420.3.
00:17:44Kinda, okay?
00:17:47Or it could be 0.4, but, yeah.
00:17:51Okay.
00:17:57What is 0.3?
00:18:01Slash x, right?
00:18:03Couple of x, okay?
00:18:04So, this is equal to minus
00:18:12x plus
00:18:16slash x, okay?
00:18:20Okay.
00:18:24Okay?
00:18:25Okay.
00:18:30Now,
00:18:39fraction of
00:18:42minus 1.7,
00:18:431.7.
00:18:49It is not
00:18:51minus 0.7, okay?
00:18:55Yeah.
00:18:55I discovered this last night, okay?
00:18:59It's something really cool, okay?
00:19:06Because what's the definition of fraction x?
00:19:10It's
00:19:13x minus
00:19:16flooring of x, okay?
00:19:19So, this is equal to
00:19:22minus 1.7
00:19:25minus flooring of that, minus 2.
00:19:31Okay?
00:19:350.3.
00:19:38Okay?
00:19:43Okay.
00:20:02Yeah.
00:20:13Okay.
00:20:22Meaning,
00:20:27let's say
00:20:29x is positive number, okay?
00:20:31So,
00:20:33fraction of,
00:20:35x is positive number, okay?
00:20:37Yeah.
00:20:39Minus x is equal to
00:20:43minus 1.7
00:20:45slash x.
00:20:49Okay?
00:20:50This is really cool.
00:20:52And likewise,
00:20:57snatch of minus x,
00:20:59which means x is positive.
00:21:01Okay.
00:21:04The complement of x, okay?
00:21:06Slash x
00:21:09defined as
00:21:13one minus fraction of x,
00:21:16which is
00:21:21one plus
00:21:23plus floor x
00:21:26minus x, okay?
00:21:27Yeah.
00:21:43Okay.
00:22:09Well,
00:22:14for example,
00:22:19slash one point,
00:22:20minus 1.7
00:22:25is equal to
00:22:29one plus,
00:22:32if you floor this, this
00:22:38minus two, okay?
00:22:43Okay.
00:23:01Okay.
00:23:04This is fraction of 1.7, okay?
00:23:06So,
00:23:08yeah.
00:23:09Okay.
00:23:12Okay.
00:23:15How cool is that?
00:23:19Yeah, it's as if like
00:23:21minus times fraction becomes slash,
00:23:24minus times slash becomes fraction,
00:23:28because fraction and,
00:23:39fraction of a,
00:23:48fraction and
00:23:52complement,
00:23:56they're complement to each other to one.
00:23:58Okay?
00:23:59So, yeah.
00:24:00Yeah, that's why it's like this.
00:24:02Okay?
00:24:03Yeah.
00:24:04Okay.
00:24:05Now,
00:24:07next step,
00:24:10ceiling
00:24:12of minus x
00:24:14is equal to,
00:24:16it will look something similar to this, okay?
00:24:19Yeah.
00:24:26Would,
00:24:27some obvious hypothesis,
00:24:31would it be like,
00:24:40slash x, or it could be a fraction x?
00:24:42I don't know.
00:24:43Okay.
00:24:44Yeah.
00:24:45You know,
00:24:47prove or disprove this, go for it.
00:24:48Okay?
00:24:49If this is wrong,
00:24:51then find a true formula for this,
00:24:54if you want to, okay?
00:24:55Yeah.
00:24:56Very cool.
00:24:57Yeah.
00:24:58Five minutes break, please.
00:24:58Thank you.
00:24:59Half one.
00:25:00Yeah.
00:25:01Okay.
00:25:03Maybe.
00:25:10There we go.
00:25:10Thank you.
00:25:39Okay.
00:26:09Thank you.
00:26:39Thank you.
00:27:09Thank you.
00:27:39Thank you.
00:28:09Thank you.
00:28:34Okay.
00:28:36So,
00:28:38in Alaska,
00:28:39radio,
00:28:40there's this wonderful company
00:28:42with wonderful commercial,
00:28:43radio commercial music.
00:28:45Sometimes it goes like this,
00:28:46dry,
00:28:47outside is damp.
00:28:48Da, da, da, da, da.
00:28:49Whoa.
00:28:54Kind of blues tune.
00:29:02Just out of tune, okay?
00:29:04Da, da, da, da, da, da.
00:29:06Da, da, da, da, da, da.
00:29:10Da, da, da, da, da, da.
00:29:12Yeah, I think company that
00:29:14sell like regular homes,
00:29:16flooding situation, okay?
00:29:18So they may hire the local musician,
00:29:20or they may
00:29:23have made the music themselves.
00:29:25Maybe they are,
00:29:27in their spare time,
00:29:28they make music and play music, you know?
00:29:31Maybe.
00:29:32Maybe they have their own band.
00:29:34What a great song though, yeah?
00:29:36Fantastic.
00:29:37Great talents.
00:29:38Local talents in Alaska.
00:29:42Okay.
00:29:46Let's turn on the hero.
00:29:47It's too much.
00:30:03Okay.
00:30:24Look, during the launch hour,
00:30:25I did not run because
00:30:28my feet was sore a little bit.
00:30:29Also, it's raining.
00:30:30I don't want to get wet.
00:30:33Sometimes I wear,
00:30:35if I'm at home,
00:30:36yeah, when it rains,
00:30:37I run with umbrella.
00:30:39But,
00:30:42it was my launch time,
00:30:43so I cannot change the pants.
00:30:46And even if I have umbrella on,
00:30:47when I run in the rain,
00:30:49my pants may get wet,
00:30:50and so I cannot take the risk.
00:30:53So, yeah.
00:30:54So I did indoor exercise.
00:30:56Okay?
00:30:59Yeah.
00:31:01Like stretching and stuff.
00:31:03Like,
00:31:05some leg movement.
00:31:08Waist rotation and stuff.
00:31:10Yeah, yeah.
00:31:13Okay.
00:31:15Let's continue.
00:31:15Let's see some examples.
00:31:21For more proof of that,
00:31:23let's skip it, okay?
00:31:24Yeah.
00:31:26It's kind of obvious, okay?
00:31:28Yeah, I don't know.
00:31:29We may.
00:31:31We'll prove this stuff.
00:31:38Okay.
00:31:40But for now,
00:31:45just proof by example.
00:31:47It's not proof by example,
00:31:47it's just hypothesis by example, okay?
00:31:50Maybe it's good to,
00:31:52if,
00:31:53I guess we should prove that, okay?
00:31:54Yeah, sure.
00:31:55One more day.
00:32:24Okay.
00:32:51Okay.
00:32:52So,
00:32:54and 0.7.
00:32:56Okay.
00:32:56So it's actually this.
00:33:04Minus fraction.
00:33:08Okay.
00:33:10Booyah!
00:33:16Yeah.
00:33:17So it's kind of similar situation,
00:33:18like minus times fraction
00:33:21becoming like,
00:33:24minus one times fraction
00:33:27becoming like slash.
00:33:28Okay?
00:33:30Yeah.
00:33:34Now,
00:33:36let's formally prove all four of them, okay?
00:33:38Yeah.
00:33:40Okay.
00:33:41So we found brand new land,
00:33:43the fraction algebra, as we named it.
00:33:46And now we are actually exploring that land,
00:33:51like we're going to this mountain, that river,
00:33:54in that brand new land,
00:33:55maybe brand new island.
00:33:57Okay?
00:33:58As expedition or explorer,
00:33:59adventurer,
00:34:00pioneer.
00:34:01Okay?
00:34:03Yeah.
00:34:09Cheers.
00:34:09Yep.
00:34:15Let's take values, okay?
00:34:16Yeah.
00:34:18If you want to prove this,
00:34:19go for it, okay?
00:34:19Yeah.
00:34:20We prove them one by one.
00:34:23Sure.
00:34:29Okay.
00:34:30Five minutes.
00:34:31Thank you.
00:34:37Okay.
00:34:52Okay.
00:35:22Okay.
00:35:23Okay.
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00:37:44Okay.
00:37:45Okay.
00:37:46Okay.
00:37:46Okay.
00:37:47Okay.
00:37:48Okay.
00:37:49Those folk that won,
00:37:51those who lost, I'm sorry.
00:37:53Those who won,
00:37:54congratulations, okay?
00:37:56That's why you didn't vote in local election
00:37:58because they were my friends.
00:38:00Okay.
00:38:01I support all of them, okay?
00:38:04Okay.
00:38:05Now, let me do some little bit.
00:38:07Yeah, cheers.
00:38:08Happy Wednesday.
00:38:15Proof.
00:38:16Fluid.
00:38:16let's do some proving stuff because we are establishing brand new mathematics
00:38:23right so yeah and it's easy stuff so formal proof necessary okay
00:38:32let's start with the easy one just two easy ones okay
00:38:46you simple right here
00:38:55okay
00:39:07well
00:39:16you
00:39:30left-hand side
00:39:33you
00:39:44you see it minus one times fraction becoming slash right yeah it's
00:39:50beautifully symmetry okay
00:39:54okay so left-hand side is yeah Cheers
00:40:03mathematics come dry that's why I drink alcohol kind of wet you know but some
00:40:10town towns in Alaska dry towns it means they don't sell alcohol okay yeah
00:40:17wet towns yeah they sell alcohol by law okay
00:40:24why some Alaskan towns are dry towns? too many problems alcohol addiction okay
00:40:31that's why
00:40:35but sometimes smuggled in illegally
00:41:01you
00:41:31you
00:41:36you do the definition right here
00:41:39you
00:41:41you
00:41:43you
00:41:45you
00:41:47you
00:41:49you
00:41:51you
00:41:53you
00:41:55you
00:41:57you
00:42:00maybe it's easier to prove this one
00:42:12ah
00:42:15you
00:42:29you
00:42:38okay okay minus one times fraction becoming slash okay beautiful symmetry
00:42:49whoo-yah
00:43:00once I publish this one day it could be in the Wikipedia okay because it was
00:43:06text some textbooks as well okay this is significant for me it's very significant
00:43:12on finding discovery with Cheers
00:43:16you
00:43:28ah we get back to that one later because it's possible this was easier to prove
00:43:34okay okay let's try to prove this one instead
00:43:39you
00:44:09you
00:44:11okay
00:44:13Florence definition
00:44:17you
00:44:19you
00:44:21you
00:44:23you
00:44:25you
00:44:27and
00:44:29you
00:44:31you
00:44:33you
00:44:35you
00:44:37you
00:44:39you
00:44:41you
00:44:43you
00:44:45you
00:44:47you
00:44:49you
00:44:51right inside
00:44:53you
00:44:55you
00:44:57you
00:44:59you
00:45:01you
00:45:03you
00:45:05you
00:45:07you
00:45:09you
00:45:11you
00:45:13you
00:45:15you
00:45:17you
00:45:19you
00:45:21you
00:45:33now express
00:45:35slash X
00:45:37That's a whole number.
00:45:41So this whole thing is zero.
00:45:45OK?
00:45:47So this becomes minus x, minus
00:45:51slash x.
00:45:53OK?
00:46:07Actually, I made a mistake here.
00:46:12This is minus x, minus x.
00:46:14There should be minus here, OK?
00:46:16Inside of fraction.
00:46:22OK?
00:46:24OK.
00:46:33So if we prove this,
00:46:37if we prove this is true,
00:46:39then this has to be true, OK?
00:46:41OK, OK, OK.
00:47:03OK.
00:47:31OK.
00:47:47I have an idea.
00:47:51Left hand side.
00:47:57OK.
00:48:03Fraction of x is equal to
00:48:05one minus
00:48:07slash x, OK?
00:48:09Yeah.
00:48:11So.
00:48:15Using that.
00:48:27One minus slash minus x.
00:48:38So if we prove this is true,
00:48:42then we can prove that.
00:48:44OK.
00:48:46We just need to prove one of the four.
00:48:49OK? All right.
00:48:51How interesting.
00:48:57Now.
00:49:00Slash x
00:49:03is equal to one minus
00:49:08coli x.
00:49:16Plug that in.
00:49:23Well, results in tautology.
00:49:25OK.
00:49:27Yeah, I'm not quite making progress here, OK?
00:49:29So, yeah.
00:49:31Let's take five minutes break, OK?
00:49:34Yeah.
00:49:37Yeah.
00:49:40We are making progress, OK?
00:49:42Yes, it's just that I don't have the proof yet, OK?
00:49:45But it seems,
00:49:47if we prove any one of these,
00:49:50one of the four,
00:49:51then the rest will be easy.
00:49:53OK?
00:49:55OK.
00:50:00If you can prove this, go for it, OK?
00:50:02After five minutes break,
00:50:05let's make some,
00:50:07let's analyze the concrete examples here, OK?
00:50:10And then,
00:50:13yeah, we'll go from, take it from there, OK?
00:50:17Yeah, I mean,
00:50:20local election, they're my friends, OK?
00:50:22So when they lose an election,
00:50:24I am very, very sorry.
00:50:27But,
00:50:29but my other friends,
00:50:31sometimes my friends compete against each other.
00:50:33So,
00:50:35and friends who got elected,
00:50:37yeah, I'm happy for them,
00:50:38but friends who lost election,
00:50:40I'm sorry.
00:50:41So it's a very mixed feeling.
00:50:43OK, yeah.
00:50:45OK.
00:50:47Five minutes break, OK?
00:50:48Thank you.
00:50:50OK.
00:50:53OK.
00:51:01Here we go.
00:51:31OK.
00:51:55OK.
00:52:23OK.
00:52:53OK.
00:53:13OK.
00:53:41OK.
00:54:09OK.
00:54:37OK.
00:55:05OK.
00:55:20OK.
00:55:23Let's continue.
00:55:26Time check real quick.
00:55:29All right.
00:55:31Oof.
00:55:39It's been less than one hour, OK?
00:55:45Ah.
00:55:55Yeah, local elections, OK,
00:55:57I am very sorry
00:55:59for my friends who lost election.
00:56:02It's really, ah,
00:56:05breaks my heart, OK?
00:56:08But it's like, you know,
00:56:10I cannot choose between my friends,
00:56:12so that's why I don't vote in the local election,
00:56:14because I know many of them,
00:56:16many of the local politicians, OK?
00:56:18And they are great, great public servants, OK?
00:56:20They're fantastic, OK?
00:56:22They really care, OK?
00:56:23Cheers.
00:56:27Mm-hmm.
00:56:31OK.
00:56:35Yeah, some examples, OK?
00:56:41Ah, the fraction of minus 1.7
00:56:45becoming 0.3.
00:56:51According to the definition of what fraction is.
00:57:10Oh.
00:57:19Oh.
00:57:22For negative numbers.
00:57:34It's like this.
00:57:36You know, one-dimensional coordinate system.
00:57:58OK?
00:58:00We are flooring it.
00:58:02We are looking for integer
00:58:06with less than this fractional number.
00:58:11We call it fractional, OK?
00:58:13Fraction, that's like between 0 and 1, OK?
00:58:19Less than that.
00:58:20More than 0, less than 1, OK?
00:58:22That's fraction, OK?
00:58:25So fraction is always positive, OK?
00:58:29Yeah.
00:58:30Well, kind of.
00:58:31OK.
00:58:35So.
00:58:47It's kind of counter-intuitive, OK?
00:58:54Negative 1.7 is equal to negative 2 plus 0.3.
00:59:06OK?
00:59:07And negative 2 is the flooring of negative 1.7.
00:59:11That's why 0.3 is fraction of negative 1.7.
00:59:17Because we regard fraction as something, a positive number, OK?
00:59:21The fraction of negative 1.7 is not negative 1.7.
00:59:26It's 0.3.
00:59:28That's why it's counter-intuitive, OK?
00:59:31OK, so fraction always positive, OK?
00:59:37How about complement, the slash number, always positive as well.
00:59:41OK?
00:59:47Yeah.
00:59:50It's a good definition.
00:59:52We have been mathematically and logically consistent, OK?
00:59:56Cheers.
01:00:20So instead of trying to prove this,
01:00:49I'm just brainstorming, OK, relaxing the rules.
01:00:52We may regard this as an axiom.
01:00:55This is obviously true, OK?
01:01:05But I want to do better than that, though.
01:01:10Yeah.
01:01:20Let me add some vodka here.
01:01:38There it is, yeah.
01:01:41I was going to say spring leaf, springboard vodka, yeah.
01:02:10Cheers.
01:02:18Yeah, our moods slightly get affected by the lighting,
01:02:22like when it's rainy versus when it's sunshine day.
01:02:28Yeah, our mood does get affected by that, OK?
01:02:31It's kind of like up and down, monopolism, like dualism, OK?
01:02:37Yeah, it's natural, OK?
01:02:38Yeah, cheers, yeah.
01:02:47OK.
01:02:50Yeah.
01:03:21Mm-hmm.
01:03:23Yeah.
01:03:51Yeah.
01:03:52Yeah.
01:03:53Yeah.
01:03:54Yeah.
01:03:55Yeah.
01:03:56Yeah.
01:03:57Yeah.
01:03:58Yeah.
01:03:59Yeah.
01:04:00Yeah.
01:04:01Yeah.
01:04:02Yeah.
01:04:03Yeah.
01:04:04Yeah.
01:04:05Yeah.
01:04:06Yeah.
01:04:07Yeah.
01:04:08Yeah.
01:04:09Yeah.
01:04:10Yeah.
01:04:11Yeah.
01:04:12Yeah.
01:04:13Yeah.
01:04:14Yeah.
01:04:15Yeah.
01:04:16Yeah.
01:04:17Yeah.
01:04:18Yeah.
01:04:19Yeah.
01:04:20Yeah.
01:04:21Yeah.
01:04:22Yeah.
01:04:23Yeah.
01:04:24Yeah.
01:04:25Yeah.
01:04:26Yeah.
01:04:27Yeah.
01:04:28Yeah.
01:04:29Yeah.
01:04:30Yeah.
01:04:31Yeah.
01:04:32Yeah.
01:04:33Yeah.
01:04:34Yeah.
01:04:35Yeah.
01:04:36Yeah.
01:04:37Yeah.
01:04:38Yeah.
01:04:39Yeah.
01:04:40Yeah.
01:04:41Yeah.
01:04:42Yeah.
01:04:43Yeah.
01:04:44Yeah.
01:04:45Yeah.
01:04:46Yeah.
01:04:47Yeah.
01:04:48Yeah.
01:04:49Yeah.
01:04:50Yeah.
01:04:51Yeah.
01:04:52Yeah.
01:04:53Yeah.
01:04:54Yeah.
01:04:55Yeah.
01:04:56Yeah.
01:04:57Yeah.
01:04:58Yeah.
01:04:59Yeah.
01:05:00Yeah.
01:05:01Yeah.
01:05:02Yeah.
01:05:03Yeah.
01:05:04Yeah.
01:05:05Yeah.
01:05:06Yeah.
01:05:07Yeah.
01:05:08Yeah.
01:05:09Yeah.
01:05:10Yeah.
01:05:11Yeah.
01:05:12Yeah.
01:05:13Yeah.
01:05:14Yeah.
01:05:15Yeah.
01:05:16Yeah.
01:05:17Yeah.
01:05:18Yeah.
01:05:19Yeah.
01:05:20Yeah.
01:05:21Yeah.
01:05:22Yeah.
01:05:23Yeah.
01:05:25Yeah.
01:05:26Yeah.
01:05:29Yeah.
01:05:46That's their defence.
01:05:47Okay.
01:05:48Okay.
01:05:49you
01:06:19So n is an integer.
01:06:40So they have this one here, okay?
01:06:45This one is true when n is positive integer or non-negative integer, okay?
01:06:51But when n is negative integer, then this is not true, okay?
01:06:55And so this Wikipedia article right here, there's some error here, okay?
01:07:04Because look, we are very advanced in mathematics, okay?
01:07:08So we are so good at mathematics.
01:07:13And we have spotted some errors in Wikipedia, okay?
01:07:18Yeah.
01:07:19Several, actually, so far, okay?
01:07:22Yeah.
01:07:23When n is negative number, then this one is actually not fraction x, it's slash x.
01:07:32For example, x being 0.3, right?
01:07:45Actually, this may be true, actually.
01:07:50Huh.
01:08:01Let's explore this, okay?
01:08:05Let's see if this is true when n is negative number, okay?
01:08:09So, for example, 0.3 minus 1, this minus 0.7.
01:08:25And minus 0.7, according to our formula, its fraction is 0.3.
01:08:51Okay, so it works even when n is negative, huh?
01:08:55Okay, cool, cool.
01:08:57Then there's no error, okay?
01:08:59Wow, how interesting.
01:09:04Mm-hmm.
01:09:07Works like magic.
01:09:09But I'm not sure if they realize that, okay?
01:09:12So, okay.
01:09:19Okay.
01:09:31Mm-hmm.
01:09:38Now, do they assume x is positive number?
01:09:42No.
01:09:43X and y, they're any real number, okay.
01:09:50Okay.
01:09:53Now, flooring.
01:09:57Let's say x is 0.7, 0.3, and minus 1.
01:10:22Okay, that works, okay.
01:10:24How interesting.
01:10:26Huh.
01:10:27Wow.
01:10:29Very cool.
01:10:32But we are more advanced than they are, okay?
01:10:37Because they don't even have a slash function, the complement function, okay?
01:10:42They don't even have that, okay?
01:10:44We are more advanced than they are, okay?
01:10:46Bye, Mr. Black, okay?
01:10:47Thank you.
01:10:48Yeah.
01:10:49But very helpful.
01:10:50Oh, yeah.
01:10:53It's been more than one hour, okay.
01:10:55Five minutes.
01:10:56Thank you.
01:10:57Yeah.
01:10:58Hi, guys.
01:10:59Some people here, but I squeezed it out, so it's just healing.
01:11:06Oh, okay.
01:11:11Five minutes.
01:11:12Thank you.
01:11:13Yep.
01:11:15Okay.
01:11:35Thank you.
01:12:05Bye.
01:12:06Bye.
01:12:07Bye.
01:12:08Bye.
01:12:09Bye.
01:12:10Bye.
01:12:11Bye.
01:12:12Bye.
01:12:13Bye.
01:12:14Bye.
01:12:15Bye.
01:12:16Bye.
01:12:17Bye.
01:12:18Bye.
01:12:19Bye.
01:12:20Bye.
01:12:21Bye.
01:12:22Bye.
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01:15:00Bye.
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01:15:27Bye.
01:15:28Bye.
01:15:29Bye.
01:15:30Bye.
01:15:31Okay.
01:15:32Let's talk about local election a little bit.
01:15:40Okay.
01:15:43Local politics.
01:15:49So it's like this.
01:15:50Also national politics, too.
01:15:51It's like, yeah, US presidents and state governors, I don't know too much about state governors,
01:15:57most likely they have term limits, right?
01:16:00Yeah, you can get re-elected maybe twice
01:16:02or something like that, it depends on the states.
01:16:05But when it comes to federal and state senators
01:16:09and House of Representatives,
01:16:11they typically don't have term limits.
01:16:13They can get re-elected, re-elected, re-elected
01:16:15again and again, okay?
01:16:17But when it comes to local election,
01:16:20well, national election is typically like income bonds
01:16:24unless they involve some kind of big scandal, right?
01:16:29They tend to get re-elected, okay?
01:16:31National level, yeah?
01:16:32Senators, Congress people, okay, yeah.
01:16:37For local election, it's like this, okay?
01:16:39It's like, yeah, income bonds,
01:16:42they get re-elected a couple of times.
01:16:44But after that, yeah, people want somebody new, okay?
01:16:50So they elect someone brand new.
01:16:53Maybe they want to see some new faces
01:16:57after a couple of re-elections, okay?
01:17:00That's typically the case.
01:17:01Or, yeah, maybe they want to give another personal chance
01:17:07to serve in state level, Senate or Congress, okay?
01:17:16That's typically the case, okay?
01:17:18They get re-elected a couple of times,
01:17:20maybe two, three, five times.
01:17:23And then voters, they move on to the next campaign, okay?
01:17:27That's very typical, okay?
01:17:36Well, I, what year was that?
01:17:39I ran for Alaska State Senate.
01:17:42Um,
01:17:49I ran for U.S. Senate.
01:17:52There was,
01:17:59was it 2022?
01:18:02I think so.
01:18:05I went to run for Alaska State Senate in 2020.
01:18:10U.S. Senate, 2022.
01:18:12So, I tend to inspire local,
01:18:23local politicians, I tend to inspire them, okay?
01:18:26So, when I ran for Alaska State Senate
01:18:29in the greater Wasilla area, Marshall Valley, okay?
01:18:33It was very crowded election in this Senate district,
01:18:38when I ran for Alaska State Senate,
01:18:40because I'm running for Alaska State Senate,
01:18:43Senate district, and then I inspire other people
01:18:46to run for State Senate, too, in this district.
01:18:50It was very crowded.
01:18:52I got the least number of votes.
01:18:55Republican primary, back then I was Republican, yeah.
01:18:58Cheers.
01:18:59Okay.
01:19:02This is 2018, okay?
01:19:04I got the least number of votes, okay?
01:19:06How many?
01:19:07Between 200 and 300, okay?
01:19:11But still, it's still a 1% vote, I guess,
01:19:15Senate district, okay?
01:19:16Yeah.
01:19:17Business school, yeah.
01:19:19And then I ran for U.S. Senate,
01:19:25that's statewide, two years later, like year 2022.
01:19:32Again, highly crowded election.
01:19:37Why?
01:19:38I guess because I inspire other people to run.
01:19:42Business school, it was highly crowded, okay?
01:19:45Yeah.
01:19:47I got the second least number of votes.
01:19:49How many?
01:19:50Maybe like 500, okay?
01:19:52Business grade, yeah.
01:19:57Maybe like 0.1% vote, okay?
01:19:58Statewide election, okay?
01:20:01Cheers.
01:20:08We'll take a break from mathematics, right?
01:20:13Yeah.
01:20:14I mean, I'm running for U.S. President now.
01:20:17Back in 2020, yeah, I also ran for U.S. President, too.
01:20:22U.S. Senate, 2022, yeah, I ran as an independent, okay?
01:20:272024, running for U.S. President as an independent.
01:20:30But 2020, I ran as a Republican,
01:20:32because I used to be Republican back then, okay?
01:20:36And so, Kamala Harris,
01:20:42I mean, I wrote in the social media some novel.
01:20:46Yeah, she's clueless.
01:20:50Clueless Kamala Harris, okay?
01:20:51Kind of rhymes, okay?
01:20:53But because, I mean, her platform is just obeying
01:20:59Democratic Party platform, okay?
01:21:01So there's nothing new there.
01:21:03I mean, she's limited by Democratic Party platform, right?
01:21:07Yeah, it looks like she is not able
01:21:12to deviate too much from that, okay?
01:21:14Well, that's her generational limit, okay?
01:21:20Yeah, that's her generational limit.
01:21:23She's kind of halfway between old school and new school,
01:21:25right, yeah.
01:21:27But between Trump and Harris, yeah.
01:21:31Well, hunkily, Harris and Trump, okay, in that order, okay?
01:21:34Of course, I'm the best, okay, yeah.
01:21:38It's just that I'm not famous, why?
01:21:40Because I'm more focused on inner development,
01:21:43like doing mathematics alone, okay, yeah.
01:21:47Like Mr. Jesus said, yeah,
01:21:49do not put your wealth on earth.
01:21:52Put your wealth in heaven, okay?
01:21:55Yeah, I kind of, I love Jesus, okay?
01:21:57The way I interpret that, Maxim, is that,
01:22:01yeah, like in heaven, more like future.
01:22:06Earth, more like present.
01:22:08You're comparing the space and time, okay?
01:22:10Yeah, we do that a lot in human knowledge, okay?
01:22:13So Albert Einstein's relativistic theory was wrong.
01:22:17I disproved him, okay?
01:22:19Yeah, yeah, maybe in the future,
01:22:22I'll be known as a man who disproved Albert Einstein, okay?
01:22:26Sure, it's possible.
01:22:29And, but, wrong theory is still inspirational,
01:22:34because, yeah, the interrelationship
01:22:35between space and time does exist, okay?
01:22:38But not the way he envisioned, though, okay?
01:22:43Okay, so, yeah.
01:22:48So I basically put my stock on the future,
01:22:50not the present, okay?
01:22:52Yeah, what I do here, it does not make me famous,
01:22:56does not make me money,
01:22:58but this is something very important in mathematics, okay?
01:23:04Yeah, we're told of, you're told of the future, okay?
01:23:07Yeah, and to me, that's more exciting,
01:23:11although not many people appreciate what I do.
01:23:16Okay?
01:23:17Welcome to human knowledge, okay?
01:23:19Cheers, yeah.
01:23:24But it's diverse, okay?
01:23:25There are people like me, very few people like me,
01:23:27who focus on inner development,
01:23:30the substantial, substance, content.
01:23:34And there's some other people, again, that was cool, okay?
01:23:39The other people who want to be a billionaire now,
01:23:43want to be celebrities, that's fine, too.
01:23:46There's absolutely nothing wrong there, okay?
01:23:48As long as they do so without lying,
01:23:53that's what Donald Trump does, okay?
01:23:57Yeah, he builds his empire based on hype,
01:24:01lying, hyperbole, I don't recommend that,
01:24:06although it's entertaining to watch, okay?
01:24:09Okay?
01:24:10Yeah.
01:24:12Look, Facebook, Google, Microsoft,
01:24:18they have substance, the good content, technology, okay?
01:24:24Taylor Swift, yeah, good content, good songwriter, okay?
01:24:29Although I do not like some of our readers,
01:24:31their content's unbalanced, okay?
01:24:33But when it comes to Microsoft's history,
01:24:36Taylor Swift's history,
01:24:38they're too focused on competition, okay?
01:24:41So they'll do anything to be number one in the market.
01:24:47That's not good, because there's a monopoly,
01:24:51kind of suppression of competitors.
01:24:54That's not good, because they do so
01:24:57because that's the only source of their happiness,
01:25:00winning in the market, being number one in the market, okay?
01:25:05My recommendation, yeah, diversify your hobbies
01:25:08so that you make enough money in Microsoft, Taylor Swift.
01:25:14So in the billboard chart or in the software market,
01:25:19even if you are number two now,
01:25:21you still have a lot of money, okay?
01:25:26It's their only source of happiness,
01:25:28that's why they do that, and that's not healthy.
01:25:33My recommendation, diversify your hobbies
01:25:36so that even if you are number two,
01:25:39you're still happy because you have different
01:25:41alternative source of happiness, like hobbies, okay?
01:25:46Yeah.
01:25:48Let's take five minutes break, okay?
01:25:49Thank you.
01:25:49Welcome to Humanology, yeah.
01:25:55Okay, time check.
01:26:04We have more than 30 minutes left, okay?
01:26:06Good, yeah, five minutes, thank you.
01:26:08Yep, welcome to Humanology School, yeah.
01:26:11Very cool.
01:26:13Yeah.
01:26:15Yeah, we don't give diploma, okay,
01:26:18but it's like back in the day,
01:26:20like Socrates School of Philosophy or Plato days, okay?
01:26:24We had the best school in this day and age, okay?
01:26:28Yeah.
01:26:30Five minutes, thank you, yep.
01:26:40All right.
01:26:44Okay.
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01:29:26Okay.
01:29:27Okay, I think that's about it.
01:29:33Okay, if I can back one moment,
01:29:40yeah, we didn't learn about mathematics, okay.
01:29:43so let's pick this up tomorrow okay let's just talk yeah
01:29:57well can play you know so let's just talk so like in social media about I'm
01:30:10like how many friends do I have in social media combined maybe like 5,000
01:30:157,000 maybe okay so it's size of a small college still on body okay yeah sure
01:30:29okay back in the days of Socrates, Jesus, Buddha
01:30:36Prophet Muhammad originally how many followers do they have? not that many
01:30:49originally okay this started as a very cult, occult okay yeah minority
01:30:59biggest reason now but back in the days yeah start with like maybe 10 people
01:31:07one person over time if they grew in their lifetime to be like about couple
01:31:17thousand followers maybe okay later on yeah like maybe grew up to millions okay
01:31:29it's not billions okay sure
01:31:33yeah
01:31:37and yeah in a Facebook live I talked about this Buddhism concept
01:31:45I love Buddhism by the way okay yeah India from India okay
01:31:49it started as a branch of Hinduism okay in India
01:31:54sure
01:31:58doesn't Christianity started as a branch of Judaism okay Islam heavily influenced
01:32:08by both Judaism and Christianity Islam okay so in Buddhism this concept of
01:32:21reincarnation okay it's a circle okay and nirvana okay
01:32:27what is nirvana? exiting the circle okay so some I read some Western commentators
01:32:37interpret nirvana as death I disagree in human energy we don't really talk
01:32:45about death too much okay it's too negative we talk about life instead okay
01:32:51yeah and so okay then my interpretation of nirvana exiting the circle
01:33:00it could be like promotion okay yeah small circle you get out then bigger
01:33:07circle promotion okay yeah and then bigger circle promotion you're making
01:33:14more money yeah it's still circular because you go to nine-to-five
01:33:20Mother's Day and Friday okay but still you make more money you have more control
01:33:26you have more people under you promotion okay yeah you become more leadership
01:33:33position like maybe shaking more hands right yeah you get outside you get what
01:33:41you know companies corporate ladder okay maybe business trip for free to some
01:33:49other countries okay yeah
01:33:54and then you become like CEO or the boss employer okay top of the company
01:34:03yeah so you can show up or you could become owner of this business yeah you
01:34:11don't have to come at nine you can come at ten you're the boss okay again
01:34:19exiting this circle nine-to-five Mother's Day and Friday okay yeah or maybe you don't show up at all
01:34:27or maybe you go home earlier okay you're the boss exiting the circle okay
01:34:35and after that yeah retirement another exit nirvana okay yeah now you have
01:34:42retirement benefit you don't have to go to work at all you do volunteerism if
01:34:48you want to and you write autobiography you get invited to some different events
01:34:56as a maybe keynote speaker or whatever you know conference maybe yeah sure
01:35:04sure
01:35:08or you become a celebrity okay yeah so people invite you to an event you become
01:35:16keynote speaker or interviewee in some major cable TV news channel or some
01:35:26festival conference keynote speaker and interviewee and they pay for your travel
01:35:34from all around the world okay like Dr. Albert Einstein sure you got invited to
01:35:42multiple places they pay for everything hotel airplane
01:35:48yes and they pay you for coming and giving like one hour lecture about your
01:35:57theory okay yeah you're gonna celebrate it okay sure
01:36:05you are famous everybody wants you you're celebrating so money is coming in
01:36:15just for being famous okay yeah again exiting the circle cycle
01:36:23citizen cycle of like nine to five Monday to Friday yeah exiting there okay
01:36:31yes that's one interpretation of the Buddhist concept Nirvana okay yeah some
01:36:39people interpret it as death I don't want to see it that way it's too
01:36:45negative okay
01:36:55okay this will continue tomorrow okay because I do not know how to go about
01:37:02this to be honest but we made very good progress very substantial okay but we
01:37:08did enough for today okay okay let's wrap up this episode I just save some
01:37:18voice to Instagram live okay and so maybe I'll see you there in Instagram live okay
01:37:25okay thank you yeah happy Wednesday dream big be ambitious okay yeah and
01:37:31also exercise the martial arts okay thank you yeah thank you