>> Jacques Mallah wrote: >>> If b was random, the continutation r will >>> probably also be random, but now we lose the >>> specific information about the exact specification >>> of b. If b was simple, the continuation will >>> probably also be simple.
I'm a unclear about the example of a Turing machine and its tape. I assume this is not meant literally, but only as a way of quantifying information. But is the information being quantified a description of the universe's laws; as might be represented by some initial finite program on an infinite tape which is blank except for the part describing the universe's laws and initial conditions. And then the running of the Turing machine corresponds to working out all the consequences of these laws and initial conditions - i.e. computing the universe. But then what does a segment of tape which is random correspond to? I assume it is in part of the infinite tape which did not encode the laws and initial conditions - the part I supposed to be blank above. The computation is taking place in a mathematically consistent way (I suppose that's the point of imagining a Turing computation). So the 'random' part goes into the computation. Hence it must represent some other laws or initial conditions. Now depending on the program, some or all of this extra stuff on the tape might have no effect. For example the Turing machine might overwrite those particular bits without reading them. But in general, i.e. with high probability, they will have some effect. Is this effect a 'wabbit'?, i.e. an exception to law-like progress of the universe? Well in the sense that it is a change from the initial 'laws' I thought of as being encoded on the tape they are exceptions. But from a consistent viewpoint, isn't the totallity of the data on the tape a consistent set of laws and initial conditions. The fact that the Turing machine processes them in a certain order need not imply anything about the order of events in the universe - so the 'exceptional' part may be first in 'universe-time'. I guess my confusion is that I don't see any logical way to distinguish a 'random' part. Brent Meeker