The axiomatic method, the order of concepts and the hierarchy of sciences

This special issue of Synthese ‘The Classical Model of Science II: The axiomatic method, the order of concepts and the hierarchy of sciences’ follows up on the previous ‘The ClassicalModel of Science I: Amillennia-oldmodel of scientific rationality’. Both issues centre on the role, the significance and the impact of the axiomatic ideal of scientific knowledge in the history of philosophy. The first issue focuses on the relation between axiomatics and a number of issues in the development of logic, mathematics, and methodology and philosophy of science in Aristotle, Proclus, the seventeenth century, Kant, Bolzano, Frege and Leśniewski. The papers collected in this second issue on the one hand continue to investigate that relation in Kant and Bolzano, stretching it further on to our days, via mathematicians such as Schroder, Dedekind, and Birkhoff, and on the other hand they extend that investigation to related and current issues concerning the empirical sciences, in a systematic evaluation of modern (formal) axiomatic conceptions of science. The contributions in both issues take their cue from the axiomatic ideal in question as captured in the ‘Classical Model (or Ideal) of Science’ (de Jong and Betti 2008)

Axiom · Axiomatic system · Calculus (dental) · Economics · Epistemology · Hierarchy · Management science · Mathematical economics · Metaphysics · Order (exchange) · Philosophy of language · Philosophy of science · Computer Science · Mathematics · Medicine · Philosophy · Philosophy and History of Science

• The Classical Model of Science

  Open Access•Willem Remmelt de Jong, Arianna Betti•Synthese•2010

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