Science > Outer Space and "Inner Space" Sciences

Ark - where are you headed?

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Megan:

--- Quote from: Richard on April 26, 2012, 12:53:22 PM ---...I don't know if this will spark any ideas but it was fun for me.

--- End quote ---

I think I understand the mechanism, but I guess I don't see what it is "for." It seems to be a composite of a binary counter and a binary adder, although not exactly because the input is all 1's and parts of the mechanism are not defined. Ordinary counters also involve states and transitions. "State" comes in when there is feedback that creates "storage." What is different here?

I had a computer science professor that was very interested in the topic of "energy of computing," decades ago, and he wasn't talking about the power consumed by server farms. Unfortunately, I still have no idea what he was talking about.

Richard:
Hi Megan,

--- Quote ---It seems to be a composite of a binary counter and a binary adder, although not exactly because the input is all 1's and parts of the mechanism are not defined.
--- End quote ---

I don't know if it's a combo of anything. Could well be.  If we write "10" in binary it would be 1010. The zeros are just placeholders and don't really do anything other than position the ones to give them their special meaning.

--- Quote ---Ordinary counters also involve states and transitions. "State" comes in when there is feedback that creates "storage." What is different here?
--- End quote ---

I'm talking about a language with which I'm not familiar so if I misuse words like "state" please forgive me. I doubt though that there is much, if any, difference. I don't know if the state in ordinary counters is the same as what I'm referring to here. I'm looking at the machine as a whole which is always in a different state depending on where the beans lie and trying to connect it to the binary universe and perhaps to Ark's monads.

--- Quote --- parts of the mechanism are not defined
--- End quote ---

I could explain how I see the full mechanism and let an engineer work out how best to put it together, but as I'm not planning on building one and am only using the idea for conceptual thinking I didn't think it necessary to go into infinite detail. (In one possibility the platform is hinged and off-center so when a bean lands on it, it tips the bean forward to the next hole :) ) The idea helps me "see" better. Numbers really don't do much for me - they don't "talk" to me.

--- Quote ---I had a computer science professor that was very interested in the topic of "energy of computing," decades ago, and he wasn't talking about the power consumed by server farms. Unfortunately, I still have no idea what he was talking about.
--- End quote ---

LOL! - I don't blame you :)

I do think it could be really good way of introducing students to binary counting if nothing else.

Megan:

--- Quote from: Richard on April 26, 2012, 07:04:13 PM ---...I don't know if it's a combo of anything. Could well be.  If we write "10" in binary it would be 1010. The zeros are just placeholders and don't really do anything other than position the ones to give them their special meaning.

--- End quote ---

It's the inputs where I don't see any zeroes. Just "beans."

--- Quote ---I'm talking about a language with which I'm not familiar so if I misuse words like "state" please forgive me. I doubt though that there is much, if any, difference. I don't know if the state in ordinary counters is the same as what I'm referring to here. I'm looking at the machine as a whole which is always in a different state depending on where the beans lie and trying to connect it to the binary universe and perhaps to Ark's monads.

--- End quote ---

I think we're using "state" the same way. But you need some kind of storage latch in order to feed data into the system. That, in turn, involves introducing feedback. A simple RS latch looks like

A pulse to the S input sets it and a pulse to the R input resets it. The outputs feeding back to the opposite inputs are what allows it to retain state. A more complex type of latch can readily serve as a counter, or at least a chain of them can.

To add binary numbers you need a network of full adders, with the carry-out of each stage (bit position) feeding the carry-in of the next higher-order stage.

Oops, I've got to go to a meeting. But anyway, the two XOR symbols along the top of the diagram resemble Ark's groupoid example.

Muxel:

--- Quote from: Bluelamp on April 09, 2012, 04:19:26 AM ---Getting back to the math of the quaternion; the real number timelike Jungian 4th is actually a 0-vector scalar which means it's like an empty set, none of the bits (neither transformation nor static location), it's nothing which sounds very much like an STS definition (at its limit which one never gets to).

--- End quote ---
Or, could it be a set containing a whole universe? (Set of all possible sets.) Sets within sets, so it never ends? Then a monad could be 1 of these "sets"?

What Biomiast said on "nano":

--- Quote from: Biomiast on April 25, 2012, 09:47:59 AM ---Considering what C's said about viruses and information fields aggregating matter, it seems to me whole life is created in such an act where information fields form membranes, organelles and proteins form an organism. So, an organism may be on macro scale, but its building blocks and interactions are on nanoscale.

--- End quote ---
Made me think, membranes = sets? We're made of membranes, which are themselves composed of membranes...and on and on...?

I've always thought of universes as points on a plane (or 3D space). So the real number loner could be a point, and the "imaginary vectors" indicate the position.

Or maybe universes aren't points but whole squiggly lines (= past present future). I dunno.

Davida:
I’m surmising that MONAD is short for MONO meaning one + AD short for add the mysterious change and maybe ark’s reference to hamster (Monad) harnessed in wheel (Groupoid), toppling at one side and the other, flip flopping poor hamster in the Groupoid and all the transformations are happening simultaneously.

And since the transformations are known they are determined, or pre-determined depending on perspective or at least easily evaluated as a matrix.

What would a groupoid look like that would yield a third order matrix, would that just be adding another arrow another transformation and isn’t there a key.

And wouldn’t some patters yield a negative number or a positive and nothing at all.

Like 353 535 353 …. Pattern/cycle/wave for want of better

{353}
{535} Comes to Nothing
{353}

Anyway my wave will probably collapse upon receipt of new information… or maybe transform, hard to think inside the matrix, especially when I don’t have any real understanding of the magic of the mysterious matrix.. hope I’m not to much off.

Interesting remark earlier in this thread about system1.. automatic/pre-determined when programmed, I’m going to give my poor hamster a rest… (hamster is the heart, perhaps)… bed calls.