Timothy O'Connor (Indiana) gives a talk for the Power Structuralism in Ancient Ontologies podcast series. Abstract: The correlated terms "emergence" and "reduction" are used in several ways in contemporary discussions ranging from complex systems theory to philosophy of mind, a fact that engenders confusion or talking at cross purposes. I try to bring greater clarity to this discussion by reflecting on John Conway's cellular automaton The Game of Life and simple variations on it. We may think of such variants as toy models of our own world that, owing to their simplicity, enable us to see quite clearly, in general terms, two importantly distinct ways (“weak” and “strong”) in which organized macroscopic phenomena might emerge from underlying microphysical processes. Strong emergence is of greater significance to metaphysics and philosophy of mind; it is also commonly deemed implausible. I close by suggesting that typical reasons for this evidential judgement are unconvincing.
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Timothy O'Connor (Indiana) gives a talk for the Power Structuralism in Ancient Ontologies podcast series. Abstract: The correlated terms "emergence" and "reduction" are used in several ways in contemporary discussions ranging from complex systems theory to philosophy of mind, a fact that engenders confusion or talking at cross purposes. I try to bring greater clarity to this discussion by reflecting on John Conway's cellular automaton The Game of Life and simple variations on it. We may think of such variants as toy models of our own world that, owing to their simplicity, enable us to see quite clearly, in general terms, two importantly distinct ways (“weak” and “strong”) in which organized macroscopic phenomena might emerge from underlying microphysical processes. Strong emergence is of greater significance to metaphysics and philosophy of mind; it is also commonly deemed implausible. I close by suggesting that typical reasons for this evidential judgement are unconvincing.
Aristotle's Dynamics in Physics VII 5: the Importance of Being Conditional
Power Structuralism in Ancient Ontologies
56 minutes
11 years ago
Aristotle's Dynamics in Physics VII 5: the Importance of Being Conditional
Henry Mendell (California State) gives a talk for the Power Structualism in Ancient Ontologies series Abstract: Historians in the twentieth century argued about whether Aristotle presents a general theory of dynamics in Physics VII 5 or merely presents examples from ordinary experience, which he then applies abstractly to arguments about the unmoved mover and general issues about the balance of elements in the sublunary realm. Recently the pendulum of opinion has swayed towards taking Aristotle's account more robustly as a general theory of dynamics, but more can be said. I shall argue that one reason why the debate arose was because both sides have seen the examples in the context of Greek style mathematics, where we expect generalized principles and theorems, often couched in a modern, anachronistic representation. I suggest that the dynamics come from an older mathematical tradition, which we associate with Babylon and Egypt and which, I believe, was ordinary Greek mathematical practice even in the fourth century BCE. Mathematicians present their work as problems, given such and such, here is how to calculate such and such. It is also characteristic of a problem and the procedure for its solution that actual numbers are used. We find both in Aristotle's presentation. Aristotle's rules are stated in the form of conditionals with actual numbers. So the rules have the form: if mover A moves moved B in time D over distance G, then one may vary A, B, D, and G in the following ways, e.g. 1/2 B over 2 D. The initial conditions in the antecedent, in effect, implicitly set the parameters for the variations in the consequent, as given by example. In this way, the procedures are general over all dynamic problems set up conditionally. Aristotle proceeds to set boundaries on the consequent. However, the text that we have at this point, regardless of variations in the textual tradition, is mathematically bizarre. Whether this is Aristotle's error or an early error in the transmission of the text, the anomaly contributes to the evidence that Aristotle is actually borrowing his examples from an earlier work on dynamics that was written in the problem tradition. Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK: England & Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/
Power Structuralism in Ancient Ontologies
Timothy O'Connor (Indiana) gives a talk for the Power Structuralism in Ancient Ontologies podcast series. Abstract: The correlated terms "emergence" and "reduction" are used in several ways in contemporary discussions ranging from complex systems theory to philosophy of mind, a fact that engenders confusion or talking at cross purposes. I try to bring greater clarity to this discussion by reflecting on John Conway's cellular automaton The Game of Life and simple variations on it. We may think of such variants as toy models of our own world that, owing to their simplicity, enable us to see quite clearly, in general terms, two importantly distinct ways (“weak” and “strong”) in which organized macroscopic phenomena might emerge from underlying microphysical processes. Strong emergence is of greater significance to metaphysics and philosophy of mind; it is also commonly deemed implausible. I close by suggesting that typical reasons for this evidential judgement are unconvincing.