Hello!

I guess the newest topic, Logic (Beta) , was introduced a month ago. Though I find members contributing to the section,but the contribution rate is very low. Apart from Mathematics and Physics, Logic should also be given equal importance. I would like to encourage the Brilliantians to contribute to the section with both easy and difficult problems. This would also give a chance to the members to level up and workout their brain!

Note by Swapnil Das
6 years 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} $\boxed{123}$

Sort by:

Nice suggestion

- 6 years ago

Thank You very much!

- 6 years ago

Okay, here's one

Propositio de homine et capra et lupo
(A proposition about the man, and a she-goat and the wolf)

A certain man needed to take a wolf, a she-goat and a load of cabbage across a river. However, he could only find a boat which would carry two of these at a time. Thus, what rule did he employ so as to get all of them across unharmed?

Now, this one is really old. But it's a start.

- 6 years ago

Wouldn't it be "carry one of these at a time"? Otherwise the man would just take the wolf and cabbage across first and then go back for the she-goat, making for 3 crossings in total. If he can only take one at a time then I believe this would involve 7 crossings.

I was thinking of a variation of this, where the man has animals A,B,C,D,E, where A only eats B, B only eats C, C only eats D and D only eats E, (E is a vegetarian, or perhaps a vegan). If he can take a maximum of two animals at a time across the river, then I find that he can do it while keeping all the animals alive in 9 crossings, although I'm wondering if that is the minimum or not.

- 6 years ago

This problem and wording actually dates back to year 782, Alcuin of York being the author of the book "Propositiones ad Acuendos Juvenes". That is the exact wording, as translated from Latin. By "carry two of these at a time", that includes the man, so unless the wolf, she-goat, or the cabbage can handle the boat, the man has to go on each trip and carry just one other with him. So, here's how it can go, from side A to side B

1) She-goat to B
2) Back to A
3) Wolf to B
4) She-goat back to A
5) Cabbage to B
6) Back to A
7) She-goat to B

- 6 years ago

What does make you a genius?

- 6 years ago

What will make me a genius? A brain transplant, using Albert Einstein's brain. But, alas!, it seems like his brain, which was supposed to be in a jar somewhere, has been lost!

- 6 years ago

Ah, o.k.. I had read "just two of these" as referring only to the wolf, she-goat and cabbage but not the man himself. I suppose that there were no self-steering boats back in Alcuin of York's day. :)

- 6 years ago

yup..........................

nice thought...................:)

- 6 years ago

Thank U! Please reshare if you like !

- 6 years ago

i shared a problem...........

plz hv a try.......................

u can also check it on net and u will find different solutions........:)

- 6 years ago

I will surely try, is it the logic one? [Albert and Bernard]

- 6 years ago

yup...............

but i didn't got the exact solution or logic behind it.................

- 6 years ago

@Sravanth Chebrolu It was a honour for me to gain your like!

- 6 years ago

Nah! No need to mention.

And I'll surely try posting problems on that topic $\huge\ddot\smile$!!!

- 6 years ago

Thank You!

- 6 years ago

I have also posted a series in this section, please check it out. If you like it pls reshare it

- 6 years ago

@Sravanth Chebrolu @Aditya Chauhan and @Rajdeep Dhingra and also @Harsh Shrivastava , Please post some very hard, Classic Logic problems! Thank U!

- 6 years ago

I would also like more problems in logic ( beta) part.... I have become level three in it, but now Very few questions are left to be done. I would also support this view because I would like more questions in this specific section...!!! Hope something will be done soon.😊😊😊

- 6 years ago

nice

- 6 years ago

Did any1 try harder cheryl's birthday

- 6 years ago

How I am doing

- 5 years, 11 months ago