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EMERGENT EVOLUTION- THE GIFFORD LECTURES DELIVERED IN THE UNIVERSITY OF ST.

In a scientific discussion of the processes which we designate “vital,” attention is concentrated on an interpretation of that which happens within a relational system of physical influence. In a scientific discussion of the processes which we reflectively distinguish as “mental,” attention is directed to what occurs in a relational system of psychological reference. We should seek to distinguish each from the other in any given context where both are in evidence.

So he asks the further question What for When I use the word agent in this book I mean always some person, or some being to whom I assign the status of a person ...

In an article in "mind," 1971, pp. 282-283, the authors raised objections to a certain definition in "principia mathematica." in this paper we demonstrate that (a) their argument is faulty, (b) their suggested remedies are unsatisfactory, and (c) there is nothing wrong with the original definition.

We interpret the modal µ-calculus over a new model [10], to give a temporal logic suitable for systems exhibiting both probabilistic and demonic nondeterminism. The logical formulae are real-valued, and the statements are not limited to properties that hold with probability 1. In achieving that conceptual step, our technical contribution is to determine the correct quantitative generalisation of the Boolean operators: one that allows many of the standard Boolean-based temporal laws to carry over the reals with little or no structural (...) alteration, even for properties that hold with probability strictly between 0 and 1. The generalisation is not obvious, but is dictated by our discovery elsewhere of the algebraic property that characterises the next-time operator over the new model: it is arithmetic 'sublinearity' [20, Fig. 4 p. 342], which replaces the Boolean conjunctivity that characterises next-time in a modal algebra.We confirm by example that the new modal laws can be used for quantitative reasoning about probabilistic/demonic behavior. The random walk is treated using only those laws and real-number arithmetic: arguing from precise numeric premises, more specific than simply 'with some non-zero probability', we reach numeric conclusions that are not simply 'with probability 1'. (shrink)