Working backward to solve problems, a TED talk by GM Maurice Ashley 

agadmator's Chess Channel Hello Agadmator!!

yup

U

😂 😂😂😂

That was like top 5 YT vids I've are seen

😁😁😁😁

Wait a minute, wait a minute.

*messes up your knights*

@@nitesan2814 That was like a magic trick

Please elaborate

He is posting many videos nowadays. PleaSe check out.

6 will never trade because it is the highest, 5 will not trade because a six would never trade and that is the only card higher than a five, 4 will not trade either because 5 and 6 will not trade, therefore a 3 would not trade as 4, 5, and 6 wont trade. hope this helped

+Benji Ekern Thank you, I get it now! :)

There could be a case where someone with a 3 does not think the same way and wants an upgrade, because well, they're used to 5's and 6's in their fortunate lives, however, chances are you trading with someone with a 3 is a 1/2(?) 1/3(?[I'm no good at math, but here I am...]) chance and the odds that that person wants to trade is unknown really. But seeing how most humans don't calculate odds, humans compare themselves to others, and wouldn't be content on being so "unlucky". so this makes the risk worth it I think. You're either last or 2nd to last- don't play it safe I say. This might be why I really suck at chess 👏🏼

+Benji Ekern "6 will never trade because it is the highest, 5 will not trade because a six would never trade and that is the only card higher than a five, 4 will not trade either because 5 and 6 will not trade, therefore a 3 would not trade as 4, 5, and 6 wont trade." 2 won't trade because 3, 4, 5, and 6 won't trade, and 1 won't trade because 2, 3, 4, 5, and 6 won't trade. High school graduates won't trade because they think college is the only way to go, and Iran won't trade because this is a year ago and the Obama deal hasn't gone into effect yet and the sanctions are still on XD

@ben ekern thats true, I understand that concept, however using that same logic it wouldn't make sense to trade with a 2. Despite this fact there were still a number of people in the audience that wanted to trade the 2. Therefore people don't always do the most logical thing. When you think about it what you/ Maurice Ashley are saying makes complete sense and is the logical thing to do, however most people do not put that much thought into it and I would guess that the vast majority of people would end up trading if they held a 1,2, or 3. It's like the first example he used with the bacteria and the lake. Obviously the correct answer is on the 59th day the lake will be half full, but if you asked me what the majority of people would say I would guess the most popular answer would be 30 days. Basically what I'm trying to say is I think the card example is not a good one because there is a difference between the logical/ correct decision, and the decision that most people choose(because the average person doesn't put that much thought into the decision).

severely underrated comment.

zlozlozlo indeed he is

It was very clear to me. Check mates dont work on grand masters!

If you can see the endgame (your life's endgame) your youth will not be wasted on you". Thats the point. By working backwards you can estimate - visualize your lifes endgame and make decisions for that in order to change it.

So the point of the video was that I can save 100$ per month if I shave my head and thus don't need to use as much shampoo?

Watch it backwards and you'll get it.

!dekrow tI

That just shows that your brain doesn't function as logically as others.

Seems useful.

ok

I don't think skipping 'the' is very logical, it's actually very illogical.

2 works as well, not sure what you're trying to say

LOL.... Dude, go away.

I thought it was wrong too at first. I think it is because we tend to think of a problem like this mathematically rather than based on the fact that you are playing an intelligent opponent. An intelligent opponent would not ask to trade if he had a 3 because he knows that you won't trade if you have the statistically likely to win 4, 5, or 6. You have the 2 so he must have the 1. Now if it was a computer programmed to offer to trade when it has a lower than average card then it wouldn't matter if you trade or not.

The thing to realize is that the bacteria doubles every day (or 24 hours). This means that at the end - or after the 60 days have elapsed - the bacteria will have doubled since the day prior. Two halves make a whole - so the lake will have been half infested by bacteria on Day 59. If we do this mathematically, we see that: 2b (b for bacteria) will occur on d (day) + 1 days. Therefore, 2b will occur on 59 + 1 days (60 days), meaning that b (bacteria after 60 days) / 2 = 60 - 1 days = 59 days

The bacteria doubles every 24 hours so it has to be half-full 1 day before it is completely full. It is 1/2 full on day 59, 1/4 full on 58, 1/8 full on on 57, and so on. If the lake was half-full on day 30 then it would end up being completely full on day 31.

***** I think I'm understanding now how it goes... it goes with the video of working backwards day 60 is 1/1 and day 59 1/2

GEBnaman I totally agree with you. Not have enough oratory skills to impart your knowledge is like Einstein telling he found the proof of Relativity and unable to explain it.

I can explain it and the vid is called 'theory of Relativity2.0'. Here's a little snippet; Because religion exists, consciousness does not exist (because they say we have a soul) Because consciousness does not exist, anxiety does not exist. So while religion has been exclusively derived from the political correctness of anxiety (coz anxiety is a political entity) it is deemed a myth, which is in accordance with the eight laws , particularly regarding the maximum allowable quality of communication permissible re the 1st two laws. The revelation of the 8laws.

Maurice is full of shit. He had to do a lecture so he looked up different decision methods for common problems and tried to craft it around chess. Being a grand master doesn't make you a master strategist. It means you are very good at calculating and judging the positions on a chess board.

I was going to say that nowadays these short little snippets make up most of the ted talks, but you're living in the past. it's been five years. Did your life change much in those five years? Mine did. Slava Ukraini. Heroyam Slava. 😁

@clickbait5344 you don't bluff in chess. bluffs work by playing on incertitude, unknown variables . in chess, you can see every variable. it's all about understanding them. in this case, offering a bad trade on purpose isn't a bluff, it's a gamble. and a bad one, because if the opponent sees it, you just created a disadvantage for yourself.

if that ain't a fat mood

short but good. Rather have that then a long drawn out boring TED talk any day.

😁What makes me twitch are the recent RU-vid videos with titles such as "Quotes you need to hear before you turn 40" I've done great in postponing the aging process and I've done my best to avoid maturity, but moving backwards in time to try again is proving difficult.

Irony at its finest!

StrangeDeimos Hahaha

He's a commentator for the St. Louis chess club.

Cause it doubles

why are you verified

Sukrut Nadigotti space magic!

nice

this trick is used when learning math/// when you already know the solution you use work backwards with the formula to see how to place your data.

Think about your moves in terms of how it would effect a "book" endgame. An even trade that results in your opponent stacking a pawn, or a puts a knight or bishop on a worse square not only affects the mid-game, but can show up as the decisive advantage when you're in an endgame with even material. You can also evaluate the pawn structure to see if it favors a bishop or knight in the endgame so you can figure out the better one to trade with. You probably subconsciously make a lot of decisions because of this, Maurice just points it out explicitly here.

That's what she said

+Scott Tomes boom!!!!

the bacteria doubles every 24 hours, not every 30 days. like this: day 61 = 200% full day 60 = 100% full day 59 = 50% full day 58 = 25% full day 57 = 12.5% full etc etc... so the lake is half full (50%) of bacteria on day 59.

average n+1 day is double. First day is 1,2nd is 2^1(which is 2), 3rd is 2^2(which is 2 times 2), ...... get the pattern? Every + day is 2x

toph toyosaki I don't think you can have the lake 200% full of bacteria. That's like putting 2 cups of water in 1 cup. Once it's full, it's full.

@john caputo: yes that is poor wording. maybe something like "double the capacity" would be more semantically accurate.

Let's say we started with x amount of bacteria on day 0. On day 1 it'll be twice that amount, so 2x. On day 2 it'll be twice that last amount (important: not twice of x), so 2 * 2x. On day 3 it'll be twice that amount, so 2 * 2 * 2x. You notice a pattern: Day 1 --- (2)x, Day 2 --- (2 * 2)x, Day 3 --- (2 * 2 * 2)x. Which, using a more convenient notation looks like this: Day 1 --- (2^1)x, Day 2 --- (2^2)x, Day 3 --- (2^3)x. The pattern suggests a formula for figuring out the amount of bacteria in the lake given the number of days: given a day k, we can find the amount of bacteria by multiplying 2 by itself k times and then multiplying that with the original amount x: Formula(k): On day k, there is (2^k)x much bacteria in the lake. Now we apply that formula to solve the problem. We're given that in k = 60 days the bacteria filled the lake: FULL: (2^60)x. The goal is to figure out the number k that we can plug into Formula to get half that amount: Goal: find k such that Formula(k) = (FULL / 2) = ((2^60)x / 2). The key observation here is this: Observation: 2^60 = 2 * (2^59). That observation allows us to transform the goal into this: Goal: find k such that Formula(k) = ((2 * 2^59)x / 2) The nice thing here is that the 2 at the top cancels out with the 2 at the bottom (2/2 = 1), the goal simplifies to: Goal: find k such that Formula(k) = (2^59)x The solution now suggests itself: Solution: Set k = 59 in Formula(k), obtaining (2^59)x, which was the goal.

on every day they multiply by 2 so 58th day is 1/4, 59th day is 1/2 and 60th day is 1

Dare to Question lol no

Jacob Davis yes it is. The bacteria will be cut in half after the 59th day, aka the sixtieth.

What are you talking about. After precisely 60 days the lake is full. This means at the exact point that 60 days have past the lake is full. How can the lake be full and half full at the same time?

I get what you are trying to say - that on the initial value, it is 1, hence 2nd day =2^1. But you are confused on the wording of the question. It says on the 60th day, it is an unknown / unspecified value, and to find what y value is half that, which is always 2^n-1.

ash nikko the end of the 59th day is the sixtieth day