premjan

I'm pretty sure that mitochondria are needed to produce energy-rich molecules (ATP) for the cell to live (most cells). There are probably simple cells which lack mitochondria because they have some other way of arranging an energy supply but I can't remember offhand which ones.

I suppose if there was no other pigment it would look green, bu I do not know for sure. I thought you were a malicious poster. Never mind.

gene, get a life. stop posting rubbish.

do you have an example of a problem that works well in ONN that is not tractable in dyadic logic? that will help me to get a real hold on what you are trying to get at.

yeah, I guess I went overboard with the altar and worship remark. I agree that it would be more consistent not to talk of any infinitely long logical expressions. If your system is really better than the competition (Cantor in this case) it ought to be easier to implement as an algorithm (perhaps you could create a Mathematica module or something like that). That would be a real coup for your system. That's probably a good way to get some coverage into the mathematical (or at least the computing) community.

...computer architecture to support monadic mathematics... if you're into programming, you could (or you could hire) someone to implement this sort of thing. I don't think computer numeric implementations depend on things like fullness at all, so it would really only show up at the computer algebra package level (you might consider starting off your own software package, call it neoCantor or something like that). Unfortunately I do not appear to be the right person to help you in this regard. But good luck.

there appears to be two steps: 1) compute 10^40 mod 2pi to sufficient accuracy (say 15 significant digits). To do this, start with say 10 sig dig and compute, then keep increasing the sd until no change is observed in the value. there ought to be tables on the internet of the digits of pi which ought to help you. You need to use an arbitrary precision integer package such as probably the one in mathematica or another open source. 2) use an ordinary calculator to compute sin of the result.

I kind of like your framework of monadic mathematics in that it starts with a larger set of irreducible geometric and algebraic properties (e.g. fullness) so that it is probably a little easier to justify each step why. However, your notion of attaching the "fractal" representation of a number to the number itself seems little more than a half-step towards a computer algorithm. Why not just take the full step and talk just in terms of Numerical Algorithms? Maybe you have some good reason for preferring what seems to me to be a kind of halfway house. Who knows you may even be onto something, and future pedagogy may be based on some rather composite notions such as yours rather than the existing system of proofs which is a little leaner in my estimation. Good luck getting someone to adopt your system, in say, a school, since that is where you might have to start to get off the ground.

what is this symmetry principle that you keep talking about Doron? Can you give an example of it?