What is 0? From Bee Brains to the Minds of Mathematicians 

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Video suggestion: Gödel's incompleteness theorems in 5 levels.

Pimping ain’t easy, but you make it look easy! However, how do we know that the Bees are quantifying whole numbers? They may just be approximating the color difference, rather than the discrete items.

Please do videos in dark mode my eyes hurt 🤕

Lets go~ Just what I needed after a long work day. edit: Whoa, the level 5 one is super neat.

Zero is the most interesting subject in mathematics. I guess when you play a game of Chess or Go, first of all the board starts off "empty" = 0, then depending on the game, black or white plays the 1st piece but it's dependent on an empty board with nothing or zero pieces on it to begin with: Much like our universe it would seem?

Thank you, this retired engineer loves you videos.

It would have been nice to include a little history about how zero was not considered a number by the ancient Greeks and others. Also, you touched on the pedagogical aspect with little kids, but there's a whole lot more there. I once asked my granddaughter (then 5 years old) which weighed more: zero rocks or zero feathers. Of course she said rocks. I don't think I was entirely successful in explaining why they weighed the same (nothing).

Keep up the good work, as a math enjoyer I love your content

I'm not too convinced about the calculus example... The symbol "limit at 0" does not really contain the idea of 0, it has more to do with very small numbers. This is much like the "limit at infinity" which doesn't require to define a mathematical object "infinity" to be defined. This is merely a notation for a real function behaviour. Still, 0 is the best number out there and definitely the most used one in mathematical research, along with its friend 1

Very Interesting! Well done

Interesting, thank you.

What would the bees do if you put -1 shapes

My mind's natural understanding of zero is that it's the additive identity.

Nice

Hey can you do a video on Identity elements across mathematical operations. And then couple that with exploiting symmetry. Remember in school whenyou. Were taught that you can add "0" or multiplying by "1 to simplify an expression, but that was a trick? Well I believe learning about identity elements early build you an intuition on how to solve more complex operations. So, please consider doing a video on this. What you just did is kinda similar but not quite.

Honestly the section on algebra is very incomplete, if you want to discuss the importance of identity the most natural factoid to turn to is the embedding of the category of semigroups into the category of monoids.

Hello Master

0 is the initial object in category theory, or maybe better described as the colimit of the empty diagram.

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There is no 0 in Roman numerals.

The bee experiment was not very convincing. The same behaviour would emerge if the bees followed the rule "fly away from blobs", without any understanding of numbers.

6:11 *The box* 😢 ‘I don’t count, do I? I’m nothing to you’. (It must be a female box. It would make sense, given that they have to wait for the 1 to fertilise them with and into existence. Religion was right (not)). 😂 Listen. How many 1s are there in an empty box? Let’s say 1 is a point (though one point is at least 2 = ‘one’+’point’). How big or small must a box be to contain the zero? A box is made up of 4 (sides that contain how many points?) to contain 0. Zero what? And what happens at the corners of the box? Does the 0 sneak in and out of the box through those points or does it play hide and seek remaining there and generating all the points that constitute the actual box? Is the 0 simultaneously in the four corners (localisation?) and why do you put it there (has it done something wrong? Maybe it was zero that killed the cat 🙀). Does the mischievous 0 stay on the outer surface of the box and projects its shadow (or does it generate it) as a box? I’d say we better not disrespect 0 because he is 1 that should not be messed with.

It's an absence of quantity. Saying that it is " less than one" is rather misleading, but won't educated in the Americas