"不可或缺性论证"与反实在论数学哲学

The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining abstract mathematical entities; second, the thoughts that we create in imagining infinite mathematical entities are bounded by external conditions. __________ Translated from Zhexue Yanjiu 哲学研究 (Philosophical Researches), 2006, (8): 74–83     

The Cognitive Relation in a Formal Setting

This paper proposes a formal framework for the cognitive relation understood as an ordered pair with the cognitive subject and object of cognition as its members. The cognitive subject is represented as consisting of a language, conequence relation and a stock of accepted theories, and the object as a model of those theories. This language allows a simple formulation of the realism/anti-realism controversy. In particular, Tarski’s undefinability theorem gives a philosophical argument for realism in epistemology. Special Issue Formal Epistemology II. Edited by Branden Fitelson     

Two Notions of Scientific Justification

Scientific claims can be assessed epistemically in either of two ways: according to scientific standards, or by means of philosophical arguments such as the no-miracle argument in favor of scientific realism. This paper investigates the basis of this duality of epistemic assessments. It is claimed that the duality rests on two different notions of epistemic justification that are well-known from the debate on internalism and externalism in general epistemology: a deontological and an alethic notion. By discussing the conditions for the scientific acceptability of empirical results, it is argued that intrascientific justification employs the deontological notion. Philosophical disputes such as those on scientific realism can by contrast be shown to rest on the alethic notion. The implications of these findings both for the nature of the respective epistemic projects and for their interrelation are explored.     

GLOBAL JUSTICE AFTER THE FALL Christian Realism and the "Law of Peoples"

In The Law of Peoples John Rawls casts his proposals as an argument against what he calls “political realism.” Here, I contend that a certain version of “Christian political realism” survives Rawls's polemic against political realism sans phrase and that Rawls overstates his case against political realism writ large. Specifically, I argue that Rawls's dismissal of “empirical political realism” is underdetermined by the evidence he marshals in support of the dismissal and that his rejection of “normative political realism” is in tension with his own normative concessions to political reality as expressed in The Law of Peoples. That is, I contend that Rawls, himself, needs some form of political realism to render persuasive the full range of normative claims constituting the argument of that work.     

THEOLOGY AND SCIENCE: WHERE ARE WE?

Abstract. Revolutionary developments in both science and theology are moving the relation between the two far beyond the nineteenth-century “warfare” model. Both scientists and theologians are engaged in a common search for shared understanding. Eight models of interaction are outlined: scientism, scientific imperialism, ecclesiastical authoritarianism, scientific creationism, the two-language theory, hypothetical consonance, ethical overlap, and New Age spirituality. Developments in hypothetical consonance are explored in the work of various scholars, including Ian Barbour, Philip Clayton, Paul Davies, Willem Drees, Langdon Gilkey, Philip Hefner, Nancey Murphy, Wolfhart Pannenberg, Arthur Peacocke, John Polkinghorne, Robert John Russell, Thomas Torrence and Wenzel van Huyssteen.     

The given of achievement and the reluctance to assent: Argument and inquiry in the post-postmodern world

Changes in the social, political, and intellectual climate worldwide portend radical changes in how humans view themselves and their world. This essay argues that the twenty-first century will usher in apost-postmodern age. The new epoch will be one in which argument practices more closely resemble their modernist forbears. The given of achievement will overcome the postmodern reluctance to assent. Argument will be practiced against the backdrop of realist philosophical frameworks and will be viewed as contributing to the accretion of knowledge.An earlier version of this paper was presented at the Speech Communication Association Annual Conference, Atlanta, Georgia, November 1991.To assert that moral, aesthetic, and factual arguments are statistically derived, is not to argue that there is no such thing as absolute goodness, beauty, or truth. It is to declare that these ultimate values have little relevance in practical argument.- Daniel McDonald     

Hoisted by their own petards: Philosophical positions that self-destruct

Philosophers have not resisted temptation to transgress against the logic of their own conceptual structures. Self-undermining position-taking is an occupational hazard. Philosophy stands in need of conceptual therapy.The author describes three conceptions of philosophy: the narcissistic, disputatious, and therapeutic. (i) Narcissistic philosophy is hermetic, believing itself to contain all evidence that can possibly be relevant to it. Philosophy undertaken in this spirit has led to defensive, monadically isolated positions. (ii) Disputatious philosophies are fundamentally question-begging, animated by assumptions that philosophical adversaries reject. (iii) The intention of therapeutic philosophy is to study philosophical positions from the standpoint of their internal consistency, or lack of it. In particular, its interest is in positions that either compel assent, because they cannot be rejected without self-referential inconsistency, or self-destruct because self-referential inconsistency cannot be avoided. The article's focus is on the latter. Several examples of self-undermining positions are drawn from the history of philosophy, exemplifying two main varieties of self-referential inconsistency: pragmatical and projective.     

REALISM AND OPENNESS IN SCIENTIFIC INQUIRY

Abstract. Intrinsic to rigorous knowledge of God is the recognition that positive theological concepts and statements about God arising under the compelling claims of God's reality upon the human mind must have an open revisable structure. A similar combination of critical realism and ontological openness is apparent in the profound change that has taken place in the rational structure of rigorous science from the radical dualism and closed causal system of classical mechanics to the unifying world view and open dynamic field-theories of modern physics. It is argued that the intersection of theological and natural science in their epis-temological foundations can enhance their ontological commitment and heuristic thrust.     

Rolston, Lonergan, and the Intrinsic Value of Nature

In recent metaethical debate over ways to justify the notion of intrinsic natural value, some neopragmatists have challenged realist conceptions of scientific and moral truth. Holmes Rolston defends a critical-realist epistemology as the basis for a metaphysics of projective nature and a cosmological narrative—both of which set up a historical ontology of objective natural value. Pure ecological science informs the wilderness experience of Rolston's ideal epistemic subject, the sensitive naturalist. The author argues that Rolston's account of the relation between knowing and valuing can be clarified and strengthened by appropriating Bernard Lonergan's transcendental method. Conversely, Lonergan's view of moral self-transcendence can be developed further in light of Rolston's virtue epistemology, which is embodied in the figure of the sensitive naturalist.