We offer an interpretation of the words and works of Richard Dedekind and the David Hilbert of around 1900 on which they are held to entertain diverging views on the structure of a deductive science. Firstly, it is argued that Dedekind sees the beginnings of a science in concepts, whereas Hilbert sees such beginnings in axioms. Secondly, it is argued that for Dedekind, the primitive terms of a science are substantive terms whose sense is to be conveyed by elucidation, whereas (...) Hilbert dismisses elucidation and consequently treats the primitives as schematic. (shrink)

The presence of premises expressing comparison is a problem for the Aristotelian theory of the dialectical method, first because there is no general theory of comparison in the Organon and secondly because along with propositions on the opposition and inflexion of the terms, comparative statements seem to fall outside the explicit description which Aristotle gives of possible premises. The purpose of this paper is to offer a synthetic theory of comparisons according to Aristotle’s Topics , in an attempt both to (...) supply the aforementioned absence and to highlight the importance of the second problem. There are three main types of premises on the more, the less and the similar : some comparing the degree of possession of a predicate, others comparing the plausibility of a predication and finally, others expressing an analogy. Once expounded the very marked differences that occur between these three classes of propositions, the paper analyses the various kinds of argumentation based on comparative premises and offers a formalization of its logical laws. The complexity of this theory and the volume of topoi involved in the comparisons show the magnitude of a problem that has not been sufficiently studied. (shrink)

Throughout more than two millennia philosophers adhered massively to ideal standards of scientific rationality going back ultimately to Aristotle’s Analytica posteriora . These standards got progressively shaped by and adapted to new scientific needs and tendencies. Nevertheless, a core of conditions capturing the fundamentals of what a proper science should look like remained remarkably constant all along. Call this cluster of conditions the Classical Model of Science . In this paper we will do two things. First of all, we will (...) propose a general and systematized account of the Classical Model of Science. Secondly, we will offer an analysis of the philosophical significance of this model at different historical junctures by giving an overview of the connections it has had with a number of important topics. The latter include the analytic-synthetic distinction, the axiomatic method, the hierarchical order of sciences and the status of logic as a science. Our claim is that particularly fruitful insights are gained by seeing themes such as these against the background of the Classical Model of Science. In an appendix we deal with the historiographical background of this model by considering the systematizations of Aristotle’s theory of science offered by Heinrich Scholz, and in his footsteps by Evert W. Beth. (shrink)

I lay out and examine two sharply conflicting interpretations of Aristotle's claims about nous in the De Anima (DA). On the human separability approach, Aristotle is taken to have identified reasons for thinking that the intellect can, in some way, exist on its own. On the naturalist approach, the soul, including intellectual soul, is inseparable from the body of which it is the form. I discuss how proponents of each approach deal with the key texts from the DA, focusing on (...) four of the most important and interesting topics in this area. Two of these topics concern the activity of understanding (noêsis): first, what does Aristotle mean when he claims that the intellect cannot have a bodily organ and, secondly, what role does Aristotle think phantasmata (“images” or “representations”) play in understanding something? Two of the topics concern DA 3.5, one of the most difficult passages in Aristotle's corpus: first, what is the nature and role of the productive intellect (nous poiêtikos) introduced there and, secondly, what are this chapter's implications for the question of whether the intellect or intellectual soul can exist apart from the body? I conclude by identifying areas where further research is necessary. (shrink)

Aristotle’s Naïve Somatism is a re-interpretation of Aristotle’s cognitive psychology in light of certain presuppositions he holds about the living animal body. The living animal body is presumed to be sensitive, and Aristotle grounds his account of cognition in a rudimentary proprioceptive awareness one has of her body. With that presupposed metaphysics under our belts, we are in a position to see that Aristotle in de Anima (cognition chapters at least) has a di erent explanatory aim in view than that (...) which the literature generally imputes to him. He is not explicating what we would call the “mental”—the private, inner realm which some take to be of a di erent kind than the physical—as most take him to be. His explanandum is content acquisition; the explanans is showing how the body becomes like various aspects of objects. Although he famously describes the mind (nous) as unmixed with the body, he is guided by functional constrains—nous cannot be limited or qualified if it is to potentially think all things. Thus, his inquiry into cognition is philosophically limited from a contemporary perspective. Aristotle is not doing philosophy of mind, for he doesn’t seem to find the “mental” philosophically perplexing. (shrink)