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.     

The competition-among-relations-in-nominals theory of conceptual combination: implications for stimulus class formation and class expansion

One way in which new concepts are added to the conceptual system is through conceptual combination. The competition-among-relations-in-nominals (CARIN) theory (Gagné & Shoben, 1997) proposes that conceptual combination involves specifying a thematic relation (e.g., noun MADE OF modifier) to link the constituent concepts (e.g., chocolate and bee). This theory claims that relations have different strengths for various concepts that correspond to how often a modifier and relation have been paired in previous encounters with combined concepts and that this relational knowledge strongly affects the ease with which combined concepts can be formed. A mathematical model that incorporates key claims of the theory is presented, and empirical findings that are relevant to evaluating the CARIN theory are reviewed. The parallels between the CARIN theory and approaches to stimulus class formation are also discussed.     

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.     

Thermodynamic fluctuations in magnetic states: Fe3Pt as a prototype

To understand the Invar anomalies, such as negative thermal expansion and spontaneous magnetization, we have applied our recently developed thermodynamic framework for a system with itinerant-electron magnetism to the ordered Fe₃Pt. The framework has coherently predicted the finite temperature intermixing between the fully ferromagnetic (FM) configuration and the spin-flipping configurations (SFCs). We have also discovered a tri-critical point at which a high-temperature second-order phase transition, between the fully ordered FM phase and the paramagnetic phase which is disordered due to SFCs, becomes first order at low temperatures.     

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.     

Benefits to the Spanish research community of regional content expansion in Web of Science

The regional content expansion of Thomson Reuters (formerly ISI) Web of Science added approximately 1,600 journals to the database with a regional as opposed to international focus. Web of Science coverage has grown to reflect the changing nature of global research publication trends and the additional regional journals provide greater visibility to high quality local studies beyond their traditional boundaries. The cited references indexed from the regional journals represent the influence of those journals on both the global and local research communities. This study analyses the impact of adding Spanish regional journals to Web of Science on the publication and citation patterns of Spanish research. The findings demonstrate a recent increase in research output from Spain and this is explained by more Spanish research being produced rather than due to the indexing of more Spanish journals; indeed it is shown that the majority of Spanish research is not published in Spanish journals. An analysis of Spanish journal citations uncovers a Spanish regional citation network previously undetected and serves as valuable information for evaluators of Spanish journals.     

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.     

A Sequent Formulation of Conditional Logic Based on Belief Change Operations

Peter Gärdenfors has developed a semantics for conditional logic, based on the operations of expansion and revision applied to states of information. The account amounts to a formalisation of the Ramsey test for conditionals. A conditional A > B is declared accepted in a state of information K if B is accepted in the state of information which is the result of revising K with respect to A. While Gärdenfors's account takes the truth-functional part of the logic as given, the present paper proposes a semantics entirely based on epistemic states and operations on these states. The semantics is accompanied by a syntactic treatment of conditional logic which is formally similar to Gentzen's sequent formulation of natural deduction rules. Three of David Lewis's systems of conditional logic are represented. The formulations are attractive by virtue of their transparency and simplicity.