Mathematics,science and ontology

According to quasi-empiricism, mathematics is very like a branch of natural science. But if mathematics is like a branch of science, and science studies real objects, then mathematics should study real objects. Thus a quasi-empirical account of mathematics must answer the old epistemological question: How is knowledge of abstract objects possible? This paper attempts to show how it is possible. The second section examines the problem as it was posed by Benacerraf in ‘Mathematical Truth’ and the next section presents a way of looking at abstract objects that purports to demythologize them. In particular, it shows how we can have empirical knowledge of various abstract objects and even how we might causally interact with them. Finally, I argue that all objects are abstract objects. Abstract objects should be viewed as the most general class of objects. The arguments derive from Quine. If all objects are abstract, and if we can have knowledge of any objects, then we can have knowledge of abstract objects and the question of mathematical knowledge is solved. A strict adherence to Quine's philosophy leads to a curious combination of the Platonism of Frege with the empiricism of Mill.     

Postmodern ontology,anthropology, and religion

This article analyses some changes produced in the contemporary ‘postmodern’ self and its consequences for the anthropological study of religion. In this regard, these changes influence deeply the way we westerners represent our ontological structure, and approach other religious systems and ontologies, due to the current processes of globalisation and transnationalisation, the notion of Self often fluctuates between an old stable, autonomous, maximiser (condensed) self and a dispersed, multivocal one. It is argued here that traditional anthropological analyses of religion lack this critical and reflexive awareness. For that reason, cultural phenomena such as shamanism, sorcery, and many forms of religious and cosmological syncretisms, are frequently approached from a distant, naturalistic viewpoint In this paper a more existential view of religion is proposed; it approaches the observer to the observed, opening up his/her assumptions about the ‘order of things’. A collection of notions, such as critical hermeneutics, critical intersubjectivity, dialectics, and ontological language is discussed, to build a fresh inquiry into the realms of numinous life.     

Unity,ontology, and the divine mind

International Journal for Philosophy of Religion - In his landmark book on philosophical theology, Saving God: Religion After Idolatry, Mark Johnston develops a panentheistic metaphysic of the...     

Determinism and ontology

In the philosophical literature, there are two common criteria for a physical theory to be deterministic. The older one is due to the logical empiricists, and is a purely formal criterion. The newer one can be found in the work of John Earman and David Lewis and depends on the intended interpretation of the theory. In this paper I argue that the former must be rejected, and something like the latter adopted. I then discuss the relevance of these points to the current debate over the hole argument.     

Meaning and ontology

These are two related essays. The first, “Meaning,” defends the so‐called reference theory against current criticisms. Exemplification and the intentional tie are two subsistents. Subsistence is a mode of existence; mere possibility is another. That requires two distinctions; one among four uses of ‘possible'; one among three uses of ‘same’ in the phrase ‘the same fact'; which in turn permits an adequate account of false belief. The second essay, “Inclusion, Exemplification, and Inherence in G. E. Moore,” displays the impact of the fundamental ontological dialectic on the development of Moore's thought. His notion of nonnatural properties provides the early cue. His eventual failure to account for false belief is traced to his eventual nominalism.     

Physicalism and sparse ontology

A major stumbling block for non-reductive physicalism is Kim’s disjunctive property objection. In this paper I bring certain issues in sparse ontology to bear on the objection, in particular the theses of priority monism and priority pluralism. Priority pluralism (or something close to it, anyway) is a common ontological background assumption, so in the first part of the paper I consider whether the disjunctive property objection applies with equal force to non-reductive physicalism on the assumption that priority monism is instead true. I ultimately conclude that non-reductive physicalism still faces a comparable problem. In the second part, I argue, surprisingly enough, that what I call ‘fine-grained reductionism’, a particular version of which Kim proposes as an alternative to non-reductive physicalism, may work better in the monist framework than the pluralist one. I conclude that issues in sparse ontology, therefore, are more relevant to the debate about physicalism than one may have thought.