Origin Gaps and the Eternal Sunshine of the Second-Order Pendulum

The rich experiences of an intentional, goal-oriented life emerge, in an unpredictable fashion, from the basic laws of physics. Here I argue that this unpredictability is no mirage: there are true gaps between life and non-life, mind and mindlessness, and even between functional societies and groups of Hobbesian individuals. These gaps, I suggest, emerge from the mathematics of self-reference, and the logical barriers to prediction that self-referring systems present. Still, a mathematical truth does not imply a physical one: the universe need not have made self-reference possible. It did, and the question then is how. In the second half of this essay, I show how a basic move in physics, known as renormalization, transforms the "forgetful" second-order equations of fundamental physics into a rich, self-referential world that makes possible the major transitions we care so much about. While the universe runs in assembly code, the coarse-grained version runs in LISP, and it is from that the world of aim and intention grows.Comment: FQXI Prize Essay 2017. 18 pages, including afterword on Ostrogradsky's Theorem and an exchange with John Bova, Dresden Craig, and Paul Livingsto

The Redemptive Act of Reading: Richard Crashaw & the Teresean Liturgy

The essay entitled “The Redemptive Act of Reading: Richard Crashaw and the Teresean liturgy” written by Alexandra Finn-Atkins is centered on Richard Crashaw’s trilogy of poems dedicated to the sixteenth century Saint Teresa of Ávila. The trilogy consists of “The Hymne,” “An Apologie” and “The Flaming Heart” and makes a subtle comparison between the act of reading Saint Teresa of Ávila and the Christian liturgy. The essay innovatively analyzes the ‘Teresean liturgy’ established by Crashaw through the external and internal liturgical elements of the Christian liturgy that are used to describe Crashaw’s personal experience reading the religious writings of Saint Teresa. The presence of liturgical elements unites the personal aspect of devotional reading with the public aspect of the liturgy. The external liturgical elements include the tabernacle, the use of incense, the Eucharist and the Litany of the Book of Common Prayer, while the internal ones exemplify the glorification of God and the mystery of Redemption in Christ. In general, the subtle comparison between reading and the Christian liturgy allows Crashaw to exalt the trans formative power found in reading Saint Teresa and advocate for an unconventional type of reading – one that turns away from the mind and towards the heart

The effect of multiple knowledge sources on learning and teaching

Current paradigms for machine-based learning and teaching tend to perform their task in isolation from a rich context of existing knowledge. In contrast, the research project presented here takes the view that bringing multiple sources of knowledge to bear is of central importance to learning in complex domains. As a consequence teaching must both take advantage of and beware of interactions between new and existing knowledge. The central process which connects learning to its context is reasoning by analogy, a primary concern of this research. In teaching, the connection is provided by the explicit use of a learning model to reason about the choice of teaching actions. In this learning paradigm, new concepts are incrementally refined and integrated into a body of expertise, rather than being evaluated against a static notion of correctness. The domain chosen for this experimentation is that of learning to solve "algebra story problems." A model of acquiring problem solving skills in this domain is described, including: representational structures for background knowledge, a problem solving architecture, learning mechanisms, and the role of analogies in applying existing problem solving abilities to novel problems. Examples of learning are given for representative instances of algebra story problems. After relating our views to the psychological literature, we outline the design of a teaching system. Finally, we insist on the interdependence of learning and teaching and on the synergistic effects of conducting both research efforts in parallel

Relationships among Birds, Willows, and Native Ungulates in and around Northern Yellowstone National Park

Although the impacts of livestock and human activities on riparian zones and associated wildlife have been well documented, little is known about the impacts that browsing by large native ungulates such as elk and moose may have. In the northern Yellowstone area, some willow stands experience intense browsing by elk and moose whereas others experience medium or very low amounts of browsing. The objectives of this study were (1) to compare the species and densities of birds among willow stands that have experienced different intensities of browsing by native ungulates, (2) to measure the relationship between five species of birds and aspects of habitat structure, and (3) to develop and evaluate predictive models that relate presence or absence of the five species to habitat characteristics. In 1989 and 1990, I measured densities of nesting songbirds and aspects of habitat structure in eight large willow stands that have experienced different intensities of browsing. The densities of five focal species (Common Yellowthroat, Lincoln\u27s Sparrow, Warbling Vireo, Wilson\u27s Warbler, and Yellow Warbler) varied considerably among sites. Only two sites had all five species and only one species--the Lincoln\u27s Sparrow\u27was found in all eight sites. The proportion of severely browsed willows in the eight sites ranged from 3.5% to 100%. The nonlinear relationship between total bird densities and frequency of severe browsing suggests that birds have a threshhold of tolerance for browsing, beyond which bird numbers and total numbers of species drop. Principal Components Analysis of 14 habitat variables indicates that the study sites varied in terms of distances between shrubs, shrub heights, height heterogeneity, foliage density at various height intervals, and frequency of severely browsed willows. Browsing does appear to affect the assemblages of breeding birds in these sites, but site- and landscape-level factors such as food abundance, willow species composition, hydrology, type and gradient of adjacent community, and riparian zone width and elevation also play important roles. such variables should be incorporated into future predictive models to improve model performance. (82 pages