Forms of Reflection,Imagination, and the Love of Wisdom

This article reflects upon the relationship between philosophy and theology. It further considers the persisting relevance of the specifically Hellenic inheritance of philosophy as contemplation and the Delphic exhortation, “Know thyself!” It concludes with reflections upon the role of imagination in relation to the philosophical idea of God as the supreme and transcendent causal principle of the physical cosmos.     

How Gödel Relates Platonism to Mathematics

It is well known that Gödel takes his realistic world view as closely related to mathematics, especially to his own work in the foundations of mathematics. He reports, publicly as well as privately, that Platonism is fundamental to his major work in logic and set theory, and suggests that this philosophical position can be seen as a product of reflections on mathematics. These views of Gödel, however, are often regarded as being insufficiently formulated or argued for. In this article, the author tries to consider some points which are related to the understanding of the Gödelian mode of the interaction between mathematics and philosophy.     

Dispensability in the Indispensability Argument

One of the most influential arguments for realism about mathematical objects is the indispensability argument. Simply put, this is the argument that insofar as we are committed to the existence of the physical objects existentially quantified over in our best scientific theories, we are also committed to the mathematical objects existentially quantified over in these theories. Following the Quine–Putnam formulation of the indispensability argument, some proponents of the indispensability argument have made the mistake of taking confirmational holism to be an essential premise of the argument. In this paper, I consider the reasons philosophers have taken confirmational holism to be essential to the argument and argue that, contrary to the traditional view, confirmational holism is dispensable.     

On Parfit’s Ontology

Parfit denies that the introduction of reasons into our ontology is costly for his theory. He puts forth two positions to help establish the claim: the Plural Senses View and the Argument from Empty Ontology. I argue that, first, the Plural Senses View for ‘exists’ can be expanded to allow for senses which undermine his ontological claims; second, the Argument from Empty Ontology can be debunked by Platonists. Furthermore, it is difficult to make statements about reasons true unless these statements include reference to objects in reality. These arguments show the instability of Parfit’s claimed metaethical advantages over naturalism.     

Gods and giants: Cudworth’s platonic metaphysics and his ancient theology

ABSTRACT

The Cambridge Platonists are modern thinkers and the context of seventeenth-century Cambridge science is an inalienable and decisive part of their thought. Cudworth’s interest in ancient theology, however, seems to conflict with the progressive aspect of his philosophy. The problem of the nature, however, of this ‘Platonism’ is unavoidable. Even in his complex and recondite ancient theology Cudworth is motivated by philosophical considerations, and his legacy among philosophers in the eighteenth and nineteenth centuries should not be overlooked. In particular we will draw on the scholarship of the German Egyptologist Jan Assmann in order to reassess the significance of Cudworth’s theory of religion for later philosophical developments.     

MUSIC AND METAPHYSICS

Abstract: In this article, I assume that musical works are abstract types, and I raise and address a new question concerning musical ontology that may take the types view at least a step further: When do musical works cease to exist? I then propound my view about musical works as types, which is somewhat like the Aristotelian Realist position concerning universals. Next, I address some objections to that view. Finally, I provide some grounds for rejecting alternative views that see Western classical musical works before 1950 (the sorts of musical works the discussion here is restricted to) either as classes or else as kinds.     

Matter,mathematics, and God

Between 1863 and 1928, positions regarding evolution and creationism debated in today's polls and popular culture first appeared in the Anglo-American world. By reviewing writings of T. H. Huxley, Alfred Russel Wallace, Helena P. Blavatsky, and H. P. Lovecraft, early formulations in today's culture wars and their relation to human curiosity or xenophobia become evident. Exploring these individuals in relation to one another is warranted since Blavatsky and Lovecraft, with their impact on popular culture in the twentieth century, often wrote in response to evolutionary writings, including those of Wallace and Huxley with their respective design-oriented and agnostic positions.     

Mathematics and Program Explanations

Aidan Lyon has recently argued that some mathematical explanations of empirical facts can be understood as program explanations. I present three objections to his argument.