Re:Conterintuitive facts in mathematics, CS, and physics
by duxup on Tuesday October 05, 2021 @10:14PM
(#28768405)
16 is like the money hall problem. I understand the answer, the answer makes sense to me. And yet but when I think of it how I think of it initially ... it still makes no sense.
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Re:Conterintuitive facts in mathematics, CS, and physics
by machinelearning on Tuesday October 05, 2021 @10:30PM
(#28768482)
The way to make sense of this is not to think about the water weight but the solid matter. By changing the proportion of water from 99% to 98%, you're also doubling the proportion of solid mass from 1% to 2%.
Re:Conterintuitive facts in mathematics, CS, and physics
by maweki on Wednesday October 06, 2021 @06:54AM
(#28771531)
> you're also doubling the proportion of solid mass from 1% to 2%.
And the final step is then, that the solid mass didn't change and therefore the liquid must be halved, instead of the solid doubled.
Re:Conterintuitive facts in mathematics, CS, and physics
by pvg on Tuesday October 05, 2021 @10:33PM
(#28768505)
The limit case can be helpful here, a strawberry made of 100% water can be dehydrated to practically nothing and is still made of 100% water.
Re:Conterintuitive facts in mathematics, CS, and physics
by adamleo on Thursday October 07, 2021 @10:43AM
(#28786926)
What you said makes no sense. If I'm only judged by how much money I have, then even if I have $0 I'm still a billionaire?
Re:Conterintuitive facts in mathematics, CS, and physics
by silisili on Wednesday October 06, 2021 @02:10AM
(#28769761)
Easiest for me if thinking only in fractions and percentages, and realizing that the dry mass is a constant.
The obvious example is 99g water, 1g dry mass. Knowing that 1g cannot change, what do we need water to be to equal 98%? 49g.
Re:Conterintuitive facts in mathematics, CS, and physics
by lifeplusplus on Tuesday October 05, 2021 @11:26PM
(#28768827)
For me the mistake was 1:1 relation between percentage and weight which didn't remain true after weight loss but I thought it did