Question-begging and infinite regress

InMetaphysics , Ch. 4, Aristotle speaks of both infinite regress and question-begging, but does not explicitly relate them. We get the impression that he thinks that to use one of these arguments to avoid the other is to jump from the frying-pan into the fire. This relationship is illustrated in terms of the ignorant belief that everything can be proved, and of attempts to prove the Law of Noncontradiction.     

Circular definitions,circular explanations,and infinite regresses

This paper discusses some of the ways in which circular definitions and circular explanations entail or fail to entail infinite regresses. And since not all infinite regresses are vicious, a few criteria of viciousness are examined in order to determine when the entailment of a regress refutes a circular definition or a circular explanation.I would like to thank Professors Robert Tully, Howard Sobel, and Derek Allen for their constructive comments.     

What the Liar Taught Achilles

Zeno's paradoxes of motion and the semantic paradoxes of the Liar have long been thought to have metaphorical affinities. There are, in fact, isomorphisms between variations of Zeno's paradoxes and variations of the Liar paradox in infinite-valued logic. Representing these paradoxes in dynamical systems theory reveals fractal images and provides other geometric ways of visualizing and conceptualizing the paradoxes.     

There must be a First: Why Thomas Aquinas Rejects Infinite,Essentially Ordered,Causal Series

Several of Thomas Aquinas's proofs for the existence of God rely on the claim that causal series cannot proceed in infinitum. I argue that Aquinas has good reason to hold this claim given his conception of causation. Because he holds that effects are ontologically dependent on their causes, he holds that the relevant causal series are wholly derivative: the later members of such series serve as causes only insofar as they have been caused by and are effects of the earlier members. Because the intermediate causes in such series possess causal powers only by deriving them from all the preceding causes, they need a first and non-derivative cause to serve as the source of their causal powers.     

Robert Burns in the counsellor's chair: A socio-cultural analysis of the Burns myth

To illustrate how difficult endings are, this paper first cites an Italian therapist's experience of the use of time with university students in Naples and then associates to contrasting examples in the novel, art, music and the cinema. It uses a dialogue about ending in the film Brief Encounter as a possible paradigm for what is needed in brief therapy. It then refers to the work of James Mann on different experiences of time which underlie the resistance to brief work. How can brief therapy contain the paradox between finite and infinite time? Incorporating another model of therapeutic intervention with the use of Milton Erickson's attitude to time and the unconscious, the paper then moves on to a clinical example, where treatment consisted of an assessment and five sessions. Here the practice of not interpreting the transference is challenged, along with an exploration of the concept of transference to the organization and the use of pre-treatment ‘maternal reverie’ associations. Using the combination of informal trance-like states with a clear focus on the ‘here and now’, the process of the therapeutic relationship is then worked with in the case material.     

The Relatively Infinite Value of the Environment

Some environmental ethicists and economists argue that attributing infinite value to the environment is a good way to represent an absolute obligation to protect it. Others argue against modelling the value of the environment in this way: the assignment of infinite value leads to immense technical and philosophical difficulties that undermine the environmentalist project. First, there is a problem of discrimination: saving a large region of habitat is better than saving a small region; yet if both outcomes have infinite value, then decision theory prescribes indifference. Second, there is a problem of swamping probabilities: an act with a small but positive probability of saving an endangered species appears to be on par with an act that has a high probability of achieving this outcome, since both have infinite expected value. Our paper shows that a relative (rather than absolute) concept of infinite value can be meaningfully defined, and provides a good model for securing the priority of the natural environment while avoiding the failures noted by sceptics about infinite value. Our claim is not that the relative infinity utility model gets every detail correct, but rather that it provides a rigorous philosophical framework for thinking about decisions affecting the environment.     

Probabilistic Justification and the Regress Problem

We discuss two objections that foundationalists have raised against infinite chains of probabilistic justification. We demonstrate that neither of the objections can be maintained. Presented by Hannes Leitgeb     

SCIENCE AND RELIGION IN THE THEOLOGY OF DIETRICH BONHOEFFER

The German theologian and martyr Dietrich Bonhoeffer is not widely known for engaging with scientific thought, having been heavily influenced by Karl Barth's celebrated stance against natural theology. However, during the period of his maturing theology in prison Bonhoeffer read a significant scientific work, Carl Friedrich von Weizsäcker's The World View of Physics. From this he gained two major insights for his theological outlook. First, he realized that the notion of a "God of the gaps" is futile, not just in science but in other areas of human inquiry. Second, he felt that an infinite universe, as considered by science, would be self-subsistent and could exist as if there were no God. Bonhoeffer replaced Barth's radical critique of religion with the even more extreme view that it is a mere passing phase in history that grown-up humanity can dispense with. At the same time Bonhoeffer began an important critique of Barth's reaction, namely, the latter's retreat to a "positivism of revelation." While Bonhoeffer did not go quite as far as one might like, his approach opened up hopeful avenues for an answer to "the liberal question" and even a revived place for some kind of natural theology.     

The neighbor and the infinite: Marion and Levinas on the encounter between self,human other,and God

In this article I examine Jean-Luc Marion's two-fold criticism of Emmanuel Levinas’ philosophy of other and self, namely that Levinas remains unable to overcome ontological difference in Totality and Infinity and does so successfully only with the notion of the appeal in Otherwise than Being and that his account of alterity is ambiguous in failing to distinguish clearly between human and divine other. I outline Levinas’ response to this criticism and then critically examine Marion's own account of subjectivity that attempts to go beyond Levinas in its emphasis on a pure or anonymous appeal. I criticize this move as rather problematic and turn instead back to Levinas for a more convincing account of the relations between self, human other, and God. In this context, I also show that Levinas in fact draws quite careful distinctions between human and divine others.     

Book Reviews

Books reviewed:
John Lachs, In Love with Life: Reflections on the Joy of Living and Why We Hate To Die
Lou Marinoff, Plato not Prozac: Applying Philosophy to Everyday Problems
Victoria Davion and Clark Wolf (eds), The Idea of a Political Liberalism: Essays on Rawls