Wednesday, March 25, 2009

The Great Enigma of the Missing Cat!


Consider a course of events across some timescale (which is equipped with direction as per usual) such that these events can be numbered by order of their occurrence on the timescale.
We then take a set of events as 'axiomatic events' (in that these events do not depend on other events within the system we consider, but give rise to every other event within the system) and demand further that any k-tuple of these axiomatic events must give rise to another event within the system. Now our system is well-defined.

Assuming some consequence always follows an event (which seems reasonable), for causality (and hence fate) to hold starting with a k-tuple of axiomatic events, an ensuing event must yield a definite result and never its negation no later than the point or interval on the timescale when this ensuing event took place.

Now take a box that can completely isolate the contents within from outside observation, a radioactive source and a Geiger counter with a clock that's set to stop when decay is detected. Put everything in the box and close it before the radioactive source emits. These instructions suffice as our axiomatic events.

According to the principle of superposition from quantum mechanics, we don't know if the counter has recorded an emission or not till we actually observe (however it may be) whether the counter has recorded an emission.

Now we have that both the result and the negation have come about simultaneously, and so the set of axiomatic events cannot be complete. Similarly, we may claim ANY such set is incomplete and thus causality is violated.

While we rely on the same principle which facilitated Schroedinger's thought experiment involving a cat, we have omitted the cat so that we don't run into any implications of sentience and consciousness.

Of course, the above argument relies on quantum theory, and the only reason we have to believe 
that is again the inductive reasoning that it has yielded correct results thus far, which would be acknowledging a form of causality. However, if we have some intrinsic reason to believe in the principle of superposition this difficulty disappears. This endeavor is left to the reader.

Thursday, February 26, 2009

Beliefs and the Alpha-belief

The whole of our lives can be expressed in terms of a series (perhaps one with many parallel branches) of actions, intended choices that mesh together to, hopefully make up something greater than some arbitrary list of events and responses. In psychology, we have had behaviourist theories rejected in favour of the cognitive approaches of today perhaps for this same reason. Of course, such an 'accusation' would be readily rejected on the grounds that behaviourist theories required an 'unnecessary complexity' to make everything fit together. However, this complexity is entirely superficial, even in instances such as Chomsky's criticism of Skinner regarding language, there were core, deterministic principles that governed the behaviourist approach. Likening this to a computer system, while the code may like an intricate maze one cannot hope to escape, the underlying principles can be simplified. And it is sometimes because this simplicity leads to the girth of the whole that a false impression of complexity is drawn up. This however, is not an attack on the attitudes of the psychology of today, rather, it is an illustration that there may be an arbitrary number of paths to the same conclusion, and hence, an arbitrary number of ways to expand on something.

In that case, what guarantee IS there that is isn't all randomly generated? That the sum of the events of our lives could well be the sum of events taken from any number of possible sets of events is a depressing prospect. We need it all to have meant something, something that guided it through, something that can't be bogged down by the seemingly inherent random nature of the world. It all boils down to our beliefs. These serve to guide our intentions and we let them, for they offer us that solace which we long for more than any other- the sense of belonging. Beliefs that get us through the menial chores of life however, are often seen as mere facticities, without any saving graces to mark them as truly remarkable. And so we arrive at something else we long for- the need for things to be permanent, which they seldom are. Such inductive reasoning does not prevent us from holding on to the hope that our innermost beliefs are indeed permanent and indeed, immortal. This allows us to formulate the simplest of notions that has existed perhaps ever since man has possessed coherent thought- the notion of an immortal soul. But the beliefs that are to shape this immortal soul need be just as transcendent, etched in stone, words of power- the word of God. This is the culmination, perhaps (for the many at least) of all those beliefs; the idea of a being, a being in their own image, but no- vice versa, for He is eternal, for He is almighty. There is both the need for recognition and incomprehension, and thus the God is born smack in the middle of this controversy. We shall call this belief in God the Alpha-belief. For to many, anything further begins here, and all paths diverge from this admission.