Mathematical forms and forms of mathematics: leaving the shores of extensional mathematics

In this paper, I introduce the idea that some important parts of contemporary pure mathematics are moving away from what I call the extensional point of view. More specifically, these fields are based on criteria of identity that are not extensional. After presenting a few cases, I concentrate on homotopy theory where the situation is particularly clear. Moreover, homotopy types are arguably fundamental entities of geometry, thus of a large portion of mathematics, and potentially to all mathematics, at least according to some speculative research programs.     

ERNAN MCMULLIN ON CONTINGENCY,COSMIC PURPOSE,AND THE ATEMPORALITY OF THE CREATOR

This article reviews, and offers supportive reflections on, the main points of Ernan McMullin's provocative 1998 article, “Cosmic Purpose and the Contingency of Human Evolution,’’ reprinted in this issue of Zygon. In it he addresses the important science‐theology issue of how the Creator's purpose and intention to assure the emergence of human beings is consonant with the radical contingency of the evolutionary process. After discussing cosmic and biological evolution and critically summarizing recent solutions to this question by Keith Ward, John Polkinghorne, Arthur Peacocke, Alvin Plantinga, and others, who presuppose in different ways that God is subject to time, McMullin compellingly argues for the traditional position, that God is unconditioned by time, and this enables God to work purposefully through contingency, randomness, and chance just as easily as through law‐like regularity.     

THEOLOGY FROM A FRACTURED VISTA: SUSAN NEIMAN'S EVIL IN MODERN THOUGHT

Evil in Modern Thought, Susan Neiman's account of the intellectual trajectory of modernity, employs the trope “homeless” to articulate deep difficulties that affirmations of divine transcendence and of human capacities to acknowledge transcendence face in a contemporary context thoroughly marked by fragmentation, fragility, and contingency. The “hospitality” of the Incarnation, which makes a fractured world a place for divine welcoming of the human in all its contingency and brokenness, is proposed as locus for theological engagement with Neiman's appropriation of a Kantian sense of hope as the readiness to resist evil in a world seemingly bereft of welcome.     

The 2014 Agreed Statement on Christology of the Churches of the Anglican Communion and the Oriental Orthodox Churches: a Catholic review

This article discusses the sources of the 2014 Agreed Statement on Christology, which include not only the 433 Formula of Union and the teaching of St Cyril of Alexandria but also some language from the Council of Chalcedon (451), the Second Council of Constantinople (553), and the Third Council of Constantinople (680–681). It also examines the rejection of Eutychianism and Nestorianism, as well as the Anglican Christology represented by Richard Hooker and the firm connection drawn between the hypostatic union and Christ’s work of salvation. The article also presents the text in comparison and contrast with two Christological declarations shared by the Roman Catholic Church and the Coptic Pope Shenouda III (1973) and the Assyrian Church of the East (1994).     

In the Presence of Love: The Pneumatological Realization of the Economy: Yves Congar's Le Mystère du Temple

Abstract:   Yves Congar's The Mystery of the Temple develops many of the themes that will be more fully worked out in his later pneumatology, particularly I Believe in the Holy Spirit . Considered against its context, Congar's pneumatology can be seen to be central to his particular strategy of ressourcement. In particular, Congar deploys pneumatology to preserve the theological connection between Christology and ecclesiology, and so offers a version of 'Spirit Christology' which avoids the pitfalls usually associated with such a position. This use of pneumatology in Congar's vision can be traced back to his account of the particular hypostasis of the Spirit in the immanent Trinity.