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Vagueness and the Aftermath - A sporadic diary
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Topic: Vagueness and the Aftermath - A sporadic diary (Read 3647508 times)
tikay
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34305 on:
March 10, 2022, 07:23:08 PM »
Tal.
Am I reading this wrong?
e.g., 7.35?
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doubleup
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34306 on:
March 10, 2022, 07:31:32 PM »
haven't considered Tal's post
I think that you just need to work out the first point they cross as it will be the same time after that till the next cross etc
So the problem is "when will thing one, moving at 60 times the speed of thing two, and starting 60 units behind thing two, catch thing two. I think that you can work it out using calculus if you define an equation. I vaguely remember you get some sort of paradox if you try to calculate it manually in bits. ie thing one never catches thing two because you keep using tinier and tinier distances.
edit
A tortoise and a hare have decided to settle once and for all who is the fastest, so they organise a race to be run over 100 metres. The hare, feeling confident, lets the tortoise have a 50-metre head start. The starting pistol goes off, and they both start racing toward the finish. The hare, travelling at twice the speed of the tortoise, reaches the 50-metre mark where the tortoise started. The tortoise, meanwhile, has travelled only 25 metres, so is at the 75-metre mark. The hare then hops to the 75-metre mark, but the tortoise is still slightly ahead, at the 87.5-metre mark. The rabbit again hops to where the tortoise was, but in that time, the tortoise has moved a little bit further still. And so on. No matter how many times the hare tries to catch up, the tortoise remains slightly ahead. And so, Zeno said, the hare can never overtake the tortoise!
https://blogs.unimelb.edu.au/sciencecommunication/2017/10/22/zenos-paradox-the-puzzle-that-keeps-on-giving/#:~:text=No%20matter%20how%20many%20times,moved%20on%20a%20bit%20further
.
«
Last Edit: March 10, 2022, 07:36:08 PM by doubleup
»
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34307 on:
March 10, 2022, 07:47:49 PM »
Quote from: Tal on March 10, 2022, 07:17:36 PM
Quote from: RED-DOG on March 10, 2022, 07:08:12 PM
I've accidentally invented a maths problem and now it's bugging me because I don't know how to work out the answer.
In 12 hours the minute and hour hands on a clock align perfectly with each other 12 times but what, precisely, are those times?
I know the first, (or last) one is 12:00 if that helps..
They overlap 13 times in 12 hours: once every 65 minutes.
12:00
1:05
2:10
3:15
4:20
5:25
6:30
7:35
8:40
9:45
10:50
11:55
12:00
We're looking for precisely.
At 6:30 the big hand is on the 6 and the little hand is between the 6 and the 7.
it's the same problem to varying degrees for all your answers.
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Doobs
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34308 on:
March 10, 2022, 09:58:25 PM »
Quote from: RED-DOG on March 10, 2022, 07:47:49 PM
Quote from: Tal on March 10, 2022, 07:17:36 PM
Quote from: RED-DOG on March 10, 2022, 07:08:12 PM
I've accidentally invented a maths problem and now it's bugging me because I don't know how to work out the answer.
In 12 hours the minute and hour hands on a clock align perfectly with each other 12 times but what, precisely, are those times?
I know the first, (or last) one is 12:00 if that helps..
They overlap 13 times in 12 hours: once every 65 minutes.
12:00
1:05
2:10
3:15
4:20
5:25
6:30
7:35
8:40
9:45
10:50
11:55
12:00
We're looking for precisely.
At 6:30 the big hand is on the 6 and the little hand is between the 6 and the 7.
it's the same problem to varying degrees for all your answers.
I don't think you can count both ends and 11.55 and 12 can't be right. That one is definitely 12 exact. I think the gap between must be 12 hours divided by 11, so the first one happens at 1pm + 1/11 of an hour, and the next at 2pm +2/11ths of an hour. These are exact, putting them into decimals or minutes and seconds makes them less exact.
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doubleup
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34309 on:
March 10, 2022, 10:04:00 PM »
took me ages to do this because of a stupid error
At the simplest it is the intersection of the line on the lol graph below which is the lines y=x and y = 5+5/60x This gives this first point they hit after the hour is on one and the minute on 12. That is 5.46 minutes So they overlap every 65.46 minutes.
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34310 on:
March 10, 2022, 10:11:27 PM »
Quote from: doubleup on March 10, 2022, 10:04:00 PM
took me ages to do this because of a stupid error
At the simplest it is the intersection of the line on the lol graph below which is the lines y=x and y = 5+5/60x This gives this first point they hit after the hour is on one and the minute on 12. That is 5.46 minutes So they overlap every 65.46 minutes.
So does that give you actual times?. I want to know what the times are.
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doubleup
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34311 on:
March 10, 2022, 10:15:07 PM »
the first time is 5 mins and 27 secs past one. the next is 10 mins and 54 secs past two and so on
It will happen at 10.54 and 33 secs if you can stay awake till then
«
Last Edit: March 10, 2022, 10:17:49 PM by doubleup
»
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34312 on:
March 10, 2022, 10:18:49 PM »
Quote from: doubleup on March 10, 2022, 10:15:07 PM
the first time is 5 mins and 27 secs past one. the next is 10 mins and 54 secs past two and so on
It will happen at 10.54 and 33 secs if you can stay awake till then
If this turns out to be right I'm going to be impressed.
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Doobs
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34313 on:
March 10, 2022, 10:19:54 PM »
Quote from: RED-DOG on March 10, 2022, 10:11:27 PM
Quote from: doubleup on March 10, 2022, 10:04:00 PM
took me ages to do this because of a stupid error
At the simplest it is the intersection of the line on the lol graph below which is the lines y=x and y = 5+5/60x This gives this first point they hit after the hour is on one and the minute on 12. That is 5.46 minutes So they overlap every 65.46 minutes.
So does that give you actual times?. I want to know what the times are.
Hark at him, and his demands. I gave you the exact times, if you want to know the slightly less precise times, doubleup is correct.
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doubleup
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34314 on:
March 10, 2022, 10:24:01 PM »
Quote from: RED-DOG on March 10, 2022, 10:18:49 PM
Quote from: doubleup on March 10, 2022, 10:15:07 PM
the first time is 5 mins and 27 secs past one. the next is 10 mins and 54 secs past two and so on
It will happen at 10.54 and 33 secs if you can stay awake till then
If this turns out to be right I'm going to be impressed.
I'm all set up for the big reveal
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
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Reply #34315 on:
March 10, 2022, 10:45:42 PM »
The tension here is palpable.
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34316 on:
March 10, 2022, 10:59:40 PM »
Boom!
Click to see full-size image.
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doubleup
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34317 on:
March 10, 2022, 11:05:54 PM »
I was going to screen grab those clocks but my laptop hasn't got a simple printscreen button, so messed it up. Anyway its 12 midnight, and then 5 mins 27 secs past one for the next. I won't stay up for that one, but you're welcome
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RED-DOG
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Re: Vagueness and the Aftermath - A sporadic diary
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Reply #34318 on:
March 10, 2022, 11:07:13 PM »
I'm truly impressed.
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tikay
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Re: Vagueness and the Aftermath - A sporadic diary
«
Reply #34319 on:
March 11, 2022, 07:50:06 AM »
Quote from: RED-DOG on March 10, 2022, 11:07:13 PM
I'm truly impressed.
I'd have been much more impressed if you had, well, you know, just looked at your watch in the first place.
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All details of the 2016 Vegas Staking Adventure can be found via this link -
http://bit.ly/1pdQZDY
(copyright Anthony James Kendall, 2016).
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