Why Realists Need Tropes

Abstract

Abstract:The ready to use set of functions to facilitate solving a generalized eigenvalue problem for symmetric matrices in order to efficiently calculate eigenvalues and eigenvectors, using Compute Unified Device Architecture (CUDA) technology from NVIDIA, is provided. An integral part of the CUDA is the high level programming environment enabling tracking both code executed on Central Processing Unit and on Graphics Processing Unit. The presented matrix structures allow for the analysis of the advantages of using graphics processors in such calculations.

The Theoretical Virtues of Theism

“…Thus, God's action of grounding/causing the existence of other entities is a product of his nature that stems from him necessarily, yet wilfully, spreading his goodness in this creative act. 42 However, with (b) of the Axiological Principles, we see that this diffusion of God's goodness will not be achieved by him simply causing/grounding a limited range of possible entities; rather, Diffusiveness requires that God cause and ground other entities outside of himself, and Plenitude tells us what (number and variety of) entities God would cause and ground. As this principle requires that no possible entity can remain as a potentiality, as Arthur Lovejoy ([32], p. 50) notes in expressing this principle: not only the thesis that the universe is a plenum formarum in which the range of conceivable diversity of kinds of living things is exhaustively exemplified, but also any other deductions from the assumption that no genuine potentiality of being can remain unfulfilled, that the extent and the abundance of the creation must be as great as the possibility of existence and commensurate with the productive capacity of a 'perfect' and inexhaustible Source, and that the world is the better the more things it contains.. the existence of all possible beings at all times is...an implication of the divine nature.…”

Modal Metaphysics and the Existence of God

“…That is, tropes, amongst other things, find their place in wind ranging contexts such as that of the metaphysics of persistence and identity, where they provide a basis for the notions of endurance and perdurance (Benovsky 2013), and the philosophy of physics, where they provide a philosophical basis for quantum theory and the Standard Model of elementary particles (Morganti 2009). However, where these types of entities find their primary use is in the metaphysics of properties, where they provide a means for one to affirm a form of realism (Keinänen, Hakkarainen, and Keskinen 2016). And one of the reasons why tropes are utilised in this specific context is due to the fact that these types of entities -unlike those of platonic universals -are ones that are epistemically accessible -that is, one can easily possess a justified (or warranted) belief in the existence of them (primarily because of these entities being able to stand in causal relations to us).…”

Fundamentality and the Existence of God

“…Moreover, tropes do not only feature in the ontological systems of various metaphysicians, but are also plausible options for dealing with various issues within contemporary philosophy. That is, tropes, amongst other things, find their use in the metaphysics of properties by providing a means for one to affirm a form of realism (Markku Keinänen et al, 2016), or, in the metaphysics of persistence and identity by providing a basis for the notions of endurance and perdurance (Benovsky, 2013), or, in the philosophy of physics by providing a philosophical basis for quantum theory and the Standard Model of elementary particles (Morganti, 2009). Plausibly, the belief in the existence of tropes is widespread in contemporary metaphysics, and thus the postulation of the existence of God, identified as a (module) trope, meshes well with other theories from the neighbouring fields within contemporary metaphysics.…”