Well I go for an extremist position of saying that everything is real i.e has some form of existence :) I prefer it to saying that nothing is real bec...
If I'm counting squares then a squares a square. Squares combine to make other squares. How many squares are there on a chess board? its more than 64....
It depends on what you are adding together. 1+1 does not always equal 2. If your counting cuboids rather than squares, then you can add the cuboids to...
01 goes first right which means it goes 1/2 the distance between 1/2 and 1 which are points on a line to first give 3/4. Then it left shifts halfway t...
Lets go through this proof again. We have the sum 1=1/2 + sum of positive fractions - sum of negative fractions So where does the 1 come from you migh...
1.1 would give the number 11 in binary. This means we either shift twice to the left or twice to the right depending on what direction you give the 1,...
So at what point is a number of the form 1/2^y an irrational number.? I'm curious. The proof works if you understand it, what you've suggested is comp...
Well here goes again The sum is 1/2 + sum of positive fractions - negative fractions The maximum sum of the positive fractions is a 1/2 from the sum 1...
Let me just clarify my proof to fdrake. The sum breaks down to 1 = 1/2 + sum of positive fractions - sum of negative fractions. The sum of the positiv...
To be fair i will have to give that some thought as to whether I can produce a proof that they all terminate on rational numbers. Not an easy task I k...
Ok here we go remember we start at 1/2 and then shift either left or right by half. Lets say that 1 is left and 0 is right. 1 goes to 1/4 (i.e halfway...
No you have a valid point, however if I'm just halving distance between 2 rational numbers I'm not summing them like those sequences all do. Any numbe...
Err no. 0 would be a shift from 1/2 to either left or right depending on what direction you wanted to use. 1 maps to a left or right shift that would ...
Now that is an interesting equation. I would have to see the break down of all the calculations for that. If it is correct then I will accept your poi...
Ok the termination point of the number is a rational number, thats what I'm arguing. This rational number is a key for the binary number so to speak. ...
Yes that is true from our perspective I agree with you on that however all I'm asking you to do is to not keep on projecting how our reality works ont...
I think your splitting hairs personally. People can tend tend to get bogged down in details which actually mean nothing. I prefer geometric proofs whi...
That is a tricky proof, I will have to think about that however all the distances travelled are rational numbers. A rational number + or - a rational ...
Again whether the change in color is by light or the flying dutchman is not important. The conditions I'm talking about are not the same as the condit...
Remember each time the point moves between the halfway point of 2 rational numbers. This in itself would be a rational number. That's just simple math...
It would converge on a rational number just as the sequence 1/2+1/4+1/8 converges on 1 after an infinite number of steps. Don't get me wrong, it would...
I will explain the proof again. I am aware that my presentation of it is not brilliant so here goes. Firstly Cantor himself uses infinite decimal numb...
If you don't understand how my proof works then just say so. I am well aware of that sort of stuff, I did study maths for my degree but unlike you it ...
Just to explain myself more clearly with pi you can simply covert each digit of pi into binary and do this with all the other numbers as well to gener...
Pi would just have a never ending trail of digits but the procedure is exactly the same. That's just an infinite binary string.Cantors argument relies...
Your getting bogged down in projecting what we currently understand to a situation that would predate the laws that we currently experience. The situa...
Well rather than trying to deal with phantom probabilities why don't you just read the proof. The point you are forgetting is that how many people hav...
Well the theoretical phycists are welcome to have their opinion. But how can that be the case if the universe is finite in size as it would be if it w...
I would be a bit cautious about statements about dismissing proofs like that. I can easily produce an argument using triangles and how they combine th...
Sorry but mapping an infinite number of infinities to 1 infinity is easy. Here is how you do it. Create from the natural numbers lists composed only o...
Well as far as I can tell any number fed into this procedure should result in a terminating rational length which will produce a set of rationals whic...
How odd, you dismiss an argument you don't understand and don't even try to. That sounds like some sort of dogma to me. The argument once you understa...
Err no because none of the a/b numbers are irrational numbers. hence his diagonal argument wont work. The a/b numbers are all rational numbers and the...
Sure its not an exact description of "nothing" in the absolute sense but if there was nothing in the beginning then I don't think we would be having t...
Have you understood the proof?. I can put the reals into a 1-1 correspondence with the natural numbers. That proves Cantor is wrong. I can also put th...
Just to be clear I will reiterate the proof in slightly more detail We will map the number 5.7 First we turn the 5 into binary i.e 101. Then we map th...
Err no. I only need one infinite quantity to map anything. If you can't map something when you have an infinite quantity then you are doing something ...
If you'd read my proof you would see that you can create a 1-1 correspondence with the natural numbers and the reals. If there is something you do not...
Ahh that is a good question and one I have not worked out the answer too. My assumption was that the homogeneous state has only 1 degree of freedom so...
I thought the whole enterprise of science was to have a curious mind. Furthermore the only leap I'm asking you to make is that a homogeneous state can...
Your defining laws that exist after the big bang to define colour. All I'm saying is that if the homogeneous state can change color by some means rega...
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