"What are mortals that you are mindful of them?" A Reading of the Biblical Message about Human Being and Nature from the New Vision of Science and Ecology

The author integrates the new scientific view of the universe with a rereading of the Genesis creation narratives. He introduces a reading of the human being as Vicar of God in light of \"precomprehension\" offered by science and the ecological crisis. New biblical interpretation of the unique role of humanity is compelled both by increased scientific knowledge of the cosmos and also by ecological destruction. In particular, the ecological crisis has emphasized that human domination of the world may destroy it. Interpreting Genesis from a New Testament viewpoint, particularly from the writings that announce a \"new creation\" performed by Jesus Christ, may remake the original mission of Vicar of God and lead Creation, affected by sin, to the new reality that it longs for

A Conley-type decomposition of the strong chain recurrent set

For a continuous flow on a compact metric space, the aim of this paper is to prove a Conley-type decomposition of the strong chain recurrent set. We first discuss in details the main properties of strong chain recurrent sets. We then introduce the notion of strongly stable set as an invariant set which is the intersection of the $\omega$-limits of a specific family of nested and definitively invariant neighborhoods of itself. This notion strengthens the one of stable set; moreover, any attractor results strongly stable. We then show that strongly stable sets play the role of attractors in the decomposition of the strong chain recurrent set; indeed, we prove that the strong chain recurrent set coincides with the intersection of all strongly stable sets and their complementaries

Overgeneration in the Higher Infinite

The Overgeneration Argument is a prominent objection against the model-theoretic account of logical consequence for second-order languages. In previous work we have offered a reconstruction of this argument which locates its source in the conflict between the neutrality of second-order logic and its alleged entanglement with mathematics. Some cases of this conflict concern small large cardinals. In this article, we show that in these cases the conflict can be resolved by moving from a set-theoretic implementation of the model-theoretic account to one which uses higher-order resources

A large-N approximated field theory for multipartite entanglement

We study the characterization of multipartite entanglement for the random states of an $n$-qbit system. Unable to solve the problem exactly we generalize it, changing complex numbers into real vectors with $N_c$ components (the original problem is recovered for $N_c=2$). Studying the leading diagrams in the large-$N_c$ approximation, we unearth the presence of a phase transition and, in an explicit example, show that the so-called entanglement frustration disappears in the large-$N_c$ limit.Comment: 12 pages, 15 figure