Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstruction of Frege" s="" grundgesetze="" in="" object="" theory"="

In this paper, the author derives the Dedekind–Peano axioms for number theory from a consistent and general metaphysical theory of abstract objects. The derivation makes no appeal to primitive mathematical notions, implicit definitions, or a principle of infinity. The theorems proved constitute an important subset of the numbered propositions found in Frege"s Grundgesetze. The proofs of the theorems reconstruct Frege"s derivations, with the exception of the claim that every number has a successor, which is derived from a modal axiom that (philosophical) logicians implicitly accept. In the final section of the paper, there is a brief philosophical discussion of how the present theory relates to the work of other philosophers attempting to reconstruct Frege"s conception of numbers and logical objects.     

The Face of Truth

I attempt to explain Plato's choice of dialogue through an analysis of what he regarded as the conditions of knowledge acquisition. I see the main contribution of the paper in exposing the way in which time and pain are, for Plato, conditions of knowledge acquisition. Plato endorsed the "learning through suffering," or pathei mathos , convention, central to Greek drama, and did so not through theory but through the praxis some of the dialogues employ. This addition of experiential components to the more cognitively oriented definitions of knowledge that Socrates uses complicates what these works may say about human knowledge. I analyze these tensions and the bearing they may have on the question of Plato's choice of dialogue, that is, on his rhetoric in practice. The requirements for actual persuasion, as Plato specifies them in the Seventh Letter, , are only partially met by the fictional scenes of argumentation and knowledge conveying that Plato presents. However, such scenes permit transcending some of the limitations of written, systematic, nonpersonal discourse. The presentation of such interactions to a real reader through dialogue turns into a mode of writing that is closer to meeting the demands of actual communication of knowledge – at least knowledge regarding what Plato envisaged as being the highest sort of epistemic communication     

Burhoe's Legacy: Lessons for Europeans

Ralph Burhoe's ideas have not been well received in European Protestant theology. His approach has been at odds with the dominant resistance to natural theology on the Continent, and it has not fit well with reconciling attempts from the United Kingdom either. However, Burhoe's interest in the role of religions in the emergence of human nature and culture, including the interest in noncognitive functions of religion, should be taken to heart. Besides, he has set an example for Europeans with respect to method in dealing with first-rate science.     

Can the World Help Us in Fixing the Reference of Natural Kind Terms?

According to Putnam the reference of natural kind terms is fixed by the world, at least partly; whether two things belong to the same kind depends on whether they obey the same objective laws. We show that Putnam's criterion of substance identity only “works” if we read “objective laws” as “OBJECTIVE LAWS”. Moreover, at least some of the laws of some of the special sciences have to be included. But what we consider to be good special sciences and what not depends upon our values. Hence, “objective laws” cannot be read as “OBJECTIVE LAWS”. It follows that the reference of natural kind terms cannot be fixed by the world, not even partly. The final conclusion applies to a variety of realisms. This revised version was published online in August 2006 with corrections to the Cover Date.     

What is the Thematic Structure of Science?

The paper justifies the concept of “thematic structure” or “order of knowledge” over the traditional “classification of sciences” due to the uncertainty of many classification criteria. The thematic structure of science has, of course, various levels and various dimensions. Arguments against any forms of separating the humanities from sciences in the traditional sense of the term are presented and discussed. Equally unacceptable are attempts at sharp separation of technical disciplines and humanities. The thematic structure of humanities is not created by some material aspects but rather through the interest — or problem-oriented aspects. In addition to the natural sciences and the humanities there exists an important sphere of sciences on artefacts or, using the term by H. Simon, the sciences of the artificial. For the contemporary research activities is typical what could be denoted as “interdisciplinary or multidisciplinary complex.” The paper traces a set of epistemological criteria for the justification of the relative independence of a scientific discipline. This revised version was published online in August 2006 with corrections to the Cover Date.     

WILDFLOWERS AND WONDER: A PASTOR'S WANDERINGS IN THE RELIGION-SCIENCE WILDERNESS

Abstract. In this paper, I explore, as a Christian and a parish pastor, what drew me into the religion-science dialogue and what keeps me involved. Encounters with nature and readings of evolutionary theory answer some questions and raise others, especially questions about chance and the nature of God. I persist in my quest for understanding because creedal affirmations of God as Creator demand an examination of the relationship between God and the world, and because I want to proclaim the Christian message in a credible way to parishioners raised with a scientific worldview. Along the way I am reaping unexpected spiritual dividends.     

Of Orchids,insects, and natural theology: Timing,tactics, and cultural critique in darwin's post-“Origin” strategy

This essay examines the relation of Darwin's orchids book to a central persuasive flaw in theOrigin: Its inability to give variation sufficient presence to break the hold of design in the mind of the reader. Darwin characterized the orchids book as a flank movement on the enemy; this essay identifies the enemy as Paley's natural theology and the flank as thetopoi, maxims, and habits of perception that led Darwin's colleagues and contemporaries to see design in nature. Moreover, this essay examines three aspects of rhetorical timing pertinent toOrchids - time askairos, time as adequate duration, and time as transformation - and then relates those features to Robert Cox's Heideggerian logic of repetition, disavowal, and transcendence. The essay concludes with implications of the tactical and temporal aspects of Darwin's reasoning for understanding both the logic of science and of Darwin as a rhetorical artist.An earlier version of this essay appeared in the Proceedings of the Sixth SCA/AFA Conference on Argumentation.     

RIGHTS AND RESPONSIBILITIES ON THE HOME PLANET

Abstract. Earth is the home planet, right for life. But rights, a notable political category, is, unfortunately, a biologically awkward word. Humans, nonetheless, have rights to a natural environment with integrity. Humans have responsibilities to respect values in fauna and flora. Appropriate survival units include species populations and ecosystems. Increasingly the ultimate survival unit isglobal; and humans have a responsibility to the planet Earth. Human political systems are not well suited to protect life atglobal ranges. National boundaries ignore important ecologicalprocesses; national policies do not favor an equitable distribution of sustainable resources. But there are signs of hope.     

STIMULUS GENERALIZATION AND EQUIVALENCE CLASSES: A MODEL FOR NATURAL CATEGORIES

Two three-member classes were formed by training AB and BC using a conditional discrimination procedure. The A and B stimuli were nonsense syllables, and the C stimuli were sets of “short” or “long” lines. To test for equivalence, C1 or C2 was presented as a sample with A1 and A2 as comparisons. Once the class-related comparison was chosen consistently, different line lengths were substituted for the training lines in the CA tests. In general, the likelihood of choosing a given comparison was an inverse function of the difference in the length of the test line from the training line. Stimuli in an equivalence class became functionally related not only to each other but also to novel stimuli that resembled a member of the equivalence class. The combination of primary generalization and equivalence class formation, then, can serve as a model to account for the development of naturally occurring categories.