My claim is that an android that has never been programmed to talk can cut a pie into as many pieces as it wants.
If the android is programmed to say “I cut this pie into 33.333… % pieces” - I will claim that the android cut the pie - but lied about the actual percentage because of the misunderstanding of language from the programmer (not a bit unusual).
So FJ, pood and me were right when we suspected you’re making the mistake of thinking that if a number cannot be represented in base-10 that it does not exist.
You are trying to represent the volume of the cut pieces using numbers and units. Note that you can’t do so merely with numbers. You can’t say “The volume of this piece is 5”. Five what, motherfucker? Five cubic inches? Five cubic centimeters? Five volumes of the whole pie? That’s why you should consider improving your language. Avoid saying things like “I am now communicating pieces”.
The volume of your pieces can be expressed any number of ways. I already mentioned some (in an earlier post.) For example, you can say their volume is one third, or (\frac{1}{3}), of the volume of the whole pie. If the volume of the whole pie is (90 cm^3) then you can say the volume of your pieces is (30 cm^3). But you can’t express it as a percentage of the whole pie. And the fact that you can’t does not prove your claim – that a pie cannot be divided into three equal pieces. It merely means that you’re trying to use a language to express something that cannot be expressed using that language.
Listen very carefully, 1 pie can not be cut into 3 equal pieces.
You haven’t cut a pie, and even if you did you have no way of communicating to me how many pieces, let alone the percentage of the pie that each pieces is.
If you decide to use numbers to try to communicate to me how many pieces, and you claim that you cut the whole pie into 3 equal pieces, I’m calling BS!
If you try to claim the pieces are equal, you have to tell me what percentage of the pie the 3 equal pieces are. If you claim the pieces are each 33.333…% I’m calling BS!
I claim you can not cut a pie into 3 equal pieces. I claim you cut the pie into 4 pieces, 3 of which are 33.333…%, and the other remaining piece called the remainder.
I repeat, you can not cut a pie into 3 equal pieces.
First - so I don’t have to keep repeating - do you understand that there is a relevant difference between an actual, physical real pie and a pie-in-concept? One of them can be cut exactly in half - the other cannot.
1/2 = .5. There are 2 pieces of 50%. I am not talking about cutting the apples in half, or cutting the area in half, or the weight, mass, volume, color, or crust in half. I am talking about 1 divided by 2.
1 divided by 2 = .50 which is FIFTY PERCENT for EACH OF THE 2 PIECES! They are 2 equal pieces, each 50% of the whole pie!
YES! I understand that there is a difference between talking about 1 divided by 2, and cutting a pie crust into 2 equal pieces. That is your BS, not mine.
The title of this thread is 1 divided by 3. Do you not comprehend the difference? Now answer MY question!
My question was relevant because you keep talking about “In Reality” - when it appears that you mean “In Concept”. You mean to say that “you cannot divide 1 by 3 in concept”. And that would be false.
Imagine (in concept) that you have 3 blocks stacked. You topple the stack - into 3 blocks.
Each of the 3 blocks would represent one 3rd of the original stack. And that can be legitimately described as “1/3”.
And you and I agree that one of those blocks CANNOT be precisely described as “33.333…%”.
We cannot describe the percentage precisely - but certainly you are not going to say that we cannot topple the blocks?
Again, for the 17th time, we are not talking about dividing 3 blocks into 3 pieces, we are talking about dividing 1 block into 3 equal pieces.
Why did you start with 3 blocks, divide them by 3, and claim each block is 1/3? We are not talking about 1/3 of 3, we are talking about dividing 1 block into 3 equal pieces.
You DO NOT comprehend the issue.
What do you think 1/3 of 1 Dozen is? Don’t forget, you are dividing 1 by 3, not 12 by 3. 1 dozen / 3 = ???
I can clearly see that it is you who are not grasping the issue.
I wasn’t talking about dividing blocks into 3 pieces. I was talking about dividing the STACK into 3 pieces. A “pie” is merely a “stack of 3 pieces of pie”.
