This statement is false.
All the mini coopers that Calvin owns are blue AND All the mini coopers that Calvin owns are red.
Welcome to week 7 of the wiki weekend series. This week, we will focus on a newly released wiki section - Logic! We have seen numerous problems which fall under this category, but they have yet to have a home on Brilliant. Now that we’ve added the skill maps, the wiki pages are looking very lonely.
To participate, just jump in and write something on one of the following pages, and then leave a comment to let us know that you contributed. We have included short descriptions and examples, to guide you in crafting the wikis.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
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to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
I'm taking Nim at the moment. Since apparently Brilliant's wiki is still lacking in history and being able to revert stuff (only admins can do that?), just a warning so that no edit collision will occur. I will edit this comment when I'm done.
EDIT: Done for now; will pick up later. Writing an article is hard.
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Thanks! That's a great page, and I see that you starting linking to other wiki articles too :)
There is an Agnishom's Wiki on propositional logic
I wrote the solution to the first example on "Mind reading" wiki. I think the LATEX on it can be improved and some of the content I wrote may need to be changed. I leave that part of work for the mods.
I'll try to write the solution for the second example later and maybe fill in some other wikis.
Statement is ambiguous. It depends on one's perception of color and on other things as well. Besides, Doppler effect can change the color of the car depending on which direction you're moving. It's debatable, I guess. But then again. I might be wrong. :-)
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A Mini Cooper could be both red and blue. XD
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Calvin could also own 0 Mini Coopers.
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If you think about it, we don't really know what he meant by "this statement". It could also be the statement, "this statement is false." in which case, it becomes a paradox. So, no one can really say.
@Calvin Lin Off topic but, Can you guys make a page on the Sturm's theorem and how to find the number of real roots of a given polynomial.
I will add a bit to paradoxes in probability. It is one of my favorite topics.
@Calvin Lin, I saw another nice example involving digital root which can be added as an example to the "Mind Reading Wiki" but the problem is with the language in it. Here's the direct link to the picture.
Can you tell me whether I can post this into the wiki or not?
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I don't think you should put this in the wiki. I have never seen any interesting tuorials that calls the reader names.
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Well, it's a good example though.
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@Calvin Lin 's opinion
Wait forA similar, but not so trollish example, would be good.
Sir, I have written the solution to the second question of mind reading.I hope that it is correct.