Patrick Grim

We extend previous work on cooperation to some related questions regarding the evolution of simple forms of communication. The evolution of cooperation within the iterated Prisoner's Dilemma has been shown to follow different patterns, with significantly different outcomes, depending on whether the features of the model are classically perfect or stochastically imperfect (Axelrod 1980a, 1980b, 1984, 1985; Axelrod and Hamilton, 1981; Nowak and Sigmund, 1990, 1992; Sigmund 1993). Our results here show that the same holds for communication. Within a simple model, the evolution of communication seems to require a stochastically imperfect world.

Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an auxiliary recourse to hierarchy. But the cost of hierarchy appears to be an abandonment of any notion of all truth or of omniscience. What the contradictions of the Knower seem to demand, then, is at least an abandonment of these. As noted in the introduction, the argument is complicated enough that one must be wary of dogmatic and precipitate conclusions. One may legitimately wonder whether some new response, or some variation on an old one, will yet offer a way out.Far too often, however, it is asked what has gone wrong with paradox rather than what paradox may have to teach us. What the Knower may have to teach us, I think, is that there really can be no coherent notion of all truth and really can be no coherent notion of omniscience. In its own way that conclusion is perhaps as humbling as is any traditional notion of God.

Formal systems are standardly envisaged in terms of a grammar specifying well-formed formulae together with a set of axioms and rules. Derivations are ordered lists of formulae each of which is either an axiom or is generated from earlier items on the list by means of the rules of the system; the theorems of a formal system are simply those formulae for which there are derivations. Here we outline a set of alternative and explicitly visual ways of envisaging and analyzing at least simple formal systems using fractal patterns of infinite depth. Progressively deeper dimensions of such a fractal can be used to map increasingly complex wffs or increasingly complex 'value spaces', with tautologies, contradictions, and various forms of contingency coded in terms of color. This and related approaches, it turns out, offer not only visually immediate and geometrically intriguing representations of formal systems as a whole but also promising formal links (1) between standard systems and classical patterns in fractal geometry, (2) between quite different kinds of value spaces in classical and infinite-valued logics, and (3) between cellular automata and logic. It is hoped that pattern analysis of this kind may open possibilities for a geometrical approach to further questions within logic and metalogic

Philosophy of Science and the Occult has two aims: to introduce the philosophy of science through an examination of the occult, and to examine the occult rigorously enough to raise central issues in philosophy of science. Patrick Grim has compiled selections by authors with divergent views on astrology, parapsychology, and UFO’s to emphasize topics standard to the philosophy of science. He discusses issues such as confirmation and selection for testing, possibility and a priori probabilities, causality and time, explanation and the nature of scientific laws, the status of theoretical entities, the problem of demarcation, theory and observation, and science and values. A sketch of where these arise in the collection accompanies the table of contents. The context of the occult serves to make the initial introduction of these issues immediately understandable and forcefully compelling

Philosophical modeling has a long and distinguished history, but the computer offers new and powerful prospects for the creation and manipulation of models. It seems inevitable that the computer will become a major tool in future philosophical research. Here I offer an overview of explorations in philosophical computer modeling that we in the Group for Logic and Formal Semantics at SUNY Stony Brook have undertaken: explorations regarding (1) the potential emergence of cooperation in a society of egoists, (2) self‐reference and paradox in fuzzy logic, (3) a fractal approach to formal systems, and (4) on‐going explorations with models for the emergence of communication. The attempt is not to give a detailed report on any of these but to give a bird s‐eye view of them all, emphasizing the general form that the models take, the philosophical motivations behind them, and the kinds of philosophical results that they may have to offer.

Debates concerning the nature of mind and consciousness are active and ongoing, with implications for philosophy, psychology, artificial intelligence and the neurosciences. This book collects interviews with some of the foremost philosophers of mind, focusing on open questions, promising projects, and their own intellectual histories. The result is a rich glimpse of the contemporary debate through some of the people who make it what it is. Interviews with Lynne Rudder Baker, David Chalmers, Daniel Dennett, Fred Dretske, Owen Flanagan, Samuel Guttenplan, Valerie Gray Hardcastle, John Heil, Terence Horgan, Douglas Hofstadter, Frank Jackson, Jaegwon Kim, William Lycan, Alva No , Hilary Putnam, David Rosenthal, John Searle, Steven Stich, Galen Strawson, Michael Tye.

The goal of philosophy of information is to understand what information is, how it operates, and how to put it to work. But unlike ‘information’ in the technical sense of information theory, what we are interested in is meaningful information. To understand the nature and dynamics of information in this sense we have to understand meaning. What we offer here are simple computational models that show emergence of meaning and information transfer in randomized arrays of neural nets. These we take to be formal instantiations of a tradition of theories of meaning as use. What they offer, we propose, is a glimpse into the origin and dynamics of at least simple forms of meaning and information transfer as properties inherent in behavioral coordination across a community

We extend previous work by modeling evolution of communication using a spatialized genetic algorithm which recombines strategies purely locally. Here cellular automata are used as a spatialized environment in which individuals gain points by capturing drifting food items and are 'harmed' if they fail to hide from migrating predators. Our individuals are capable of making one of two arbitrary sounds, heard only locally by their immediate neighbors. They can respond to sounds from their neighbors by opening their mouths or by hiding. By opening their mouths in the presence of food they maximize gains; by hiding when a predator is present they minimize losses. We consider the result a 'natural' template for benefits from communication; unlike a range of other studies, it is here only the recipient of communicated information that immediately benefits.

This book both introduces the philosophy of science through examination of the occult and examines the occult rigorously enough to raise central issues in the philosophy of science. Placed in the context of the occult, philosophy of science issues become immediately understandable and forcefully compelling. Divergent views on astrology, parapsychology, and quantum mechanics mysticism emphasize topics standard to the philosophy of science. Such issues as confirmation and selection for testing, causality and time, explanation and the nature of scientific laws, the status of theoretical entities, the problem of demarcation, theory and observation, and science and values are discussed. Significantly revised, this second edition presents an entirely new section of quantum mechanics and mysticism including instructions from N. David Mermin for constructing a device which dramatically illustrates the genuinely puzzling phenomena of quantum mechanics. A more complete and current review of research on astrology has been included in this new edition, and the section on the problem of demarcation has been broadened

A version of this paper was presented at the IEEE International Conference on Computational Intelligence, combined meeting of ICNN, FUZZ-IEEE, and ICEC, Orlando, June-July, 1994, and an earlier form of the result is to appear as "The Undecidability of the Spatialized Prisoner's Dilemma" in Theory and Decision . An interactive form of the paper, in which figures are called up as evolving arrays of cellular automata, is available on DOS disk as Research Report #94-04i . An expanded version appears as chapter 6 of The Philosophical Computer.

'Post-critical,' as Echeverria rightly notes, "is one of those catchy, yet slippery phrases which seem to crop up in so many places that they take on a power of their own." But for the purposes of this study, at least, he manages to circumscribe the topic with remarkable clarity: "... the traditional meaning of a critique of knowledge excluded reflection on one's own historical context as an essential trait of philosophical theories, and relegated that context to psychology. 'Post-critical' philosophy wants to reinstate that historical context as one that must itself necessarily be included in the very idea of theory or, as the case may be, of philosophical criticism."