# Weekend Wiki Party 7 - Logic

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.

Note by Calvin Lin
4 years, 9 months ago

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:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

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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.

- 4 years, 9 months ago

Thanks! That's a great page, and I see that you starting linking to other wiki articles too :)

Staff - 4 years, 9 months ago

There is an Agnishom's Wiki on propositional logic

- 4 years, 9 months ago

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.

- 4 years, 9 months ago

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. :-)

- 4 years, 9 months ago

A Mini Cooper could be both red and blue. XD

- 4 years, 9 months ago

Calvin could also own 0 Mini Coopers.

- 4 years, 9 months ago

Or, one of the mini coopers mentioned could be a reference to a model and the other, to the real deal. Or, Calvin found a paint shop that did the job so fast that before he ended the statement, his mini cooper, which was initially blue, got painted red. Or maybe, it was a mini cooper in a game and he changed the color while he was speaking the sentence.

- 4 years, 9 months ago

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.

- 4 years, 9 months ago

@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.

- 4 years, 9 months ago

I will add a bit to paradoxes in probability. It is one of my favorite topics.

- 4 years, 9 months ago

@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?

- 4 years, 9 months ago

I don't think you should put this in the wiki. I have never seen any interesting tuorials that calls the reader names.

- 4 years, 9 months ago

Well, it's a good example though.

- 4 years, 9 months ago

Wait for @Calvin Lin 's opinion

- 4 years, 9 months ago

A similar, but not so trollish example, would be good.

Staff - 4 years, 9 months ago

Sir, I have written the solution to the second question of mind reading.I hope that it is correct.

- 4 years, 9 months ago