An affirmative answer is given to the question quoted in the title.

Wilhelm Dilthey: Einleitung in die Geisteswissenschaften. Versuch einer Grundlegung für das Studium der Gesellschaft und ihrer Geschichte Lesefreundlicher Großdruck in 16-pt-Schrift Großformat, 210 x 297 mm Berliner Ausgabe, 2020 Durchgesehener Neusatz mit einer Biographie des Autors bearbeitet und eingerichtet von Theodor Borken Erstdruck: Leipzig (Duncker & Humblot) 1883. Textgrundlage ist die Ausgabe: Wilhelm Dilthey: Gesammelte Schriften. Herausgegeben von Bernhard Groethuysen u. a., Leipzig u. a.: B. G. Teubner u. a., 1914 ff. Umschlaggestaltung von Thomas Schultz-Overhage. Gesetzt aus der Minion Pro, (...) 16 pt. Henricus Edition Deutsche Klassik UG (haftungsbeschränkt). (shrink)

In seiner letzten Schrift unternimmt Husserl den Versuch, auf dem Wege einer teleologisch-historischen Besinnung auf die Ursprünge unserer kritischen wissenschaftlichen und philosophischen Situation die Notwendigkeit einer transzendentalphänomenologischen Umwendung der Philosophie zu begründen. Er geht von seinem Begriff der "Lebenswelt" aus und entwickelt eine auf diesen Zentralbegriff seiner Spätphilosophie gegründete eigenständige Einleitung in die transzendentale Phänomenologie.

Structuralism is a view about the subject matter of mathematics according to which what matters are structural relationships in abstraction from the intrinsic nature of the related objects. Mathematics is seen as the free exploration of structural possibilities, primarily through creative concept formation, postulation, and deduction. The items making up any particular system exemplifying the structure in question are of no importance; all that matters is that they satisfy certain general conditions—typically spelled out in axioms defining the structure or structures (...) of interest—characteristic of the branch of mathematics in question. Thus, in the basic case of arithmetic, the famous “axioms” of Richard Dedekind (taken over by Giuseppe Peano, as he acknowledged) were conditions in a definition of a “simply infinite system”, with an initial item, each item having a unique next one, no two with the same next one, and all items finitely many steps from the initial one. (The latter condition is guaranteed by the axiom of mathematical induction.) All such systems are structurally identical, and, in a sense to be made more precise, the shared structure is what mathematics investigates. (In other cases, multiple structures are allowed, as in abstract algebra with its many groups, rings, fields, and so forth.) This structuralist view of arithmetic thus contrasts with the absolutist view, associated with Gottlob Frege and Bertrand Russell, that natural numbers must in fact be certain definite objects, namely classes of equinumerous concepts or classes. (shrink)

The purpose of this paper is to justify the claim that Topos theory and Logic (the latter interpreted in a wide enough sense to include Model theory and Set theory) may interact to the advantage of both fields. Once the necessity of utilizing toposes (other than the topos of Sets) becomes apparent, workers in Topos theory try to make this task as easy as possible by employing a variety of methods which, in the last instance, find their justification in metatheorems (...) from Logic. Some concrete instances of this assertion will be given in the form of simple proofs that certain theorems of Algebra hold in any (Grothendieck) topos, in order to illustrate the various techniques that are used. In the other direction, Topos theory can also be a useful tool in Logic. Examples of this are independence proofs in (classical as well as intuitionistic) Set theory, as well as transfer methods in the presence of a sheaf representation theorem, the latter applied, in particular, to model theoretic properties of certain theories. (shrink)

A precise notion of ‘mathematical structure’ other than that given by model theory may prove fruitful in the philosophy of mathematics. It is shown how the language and methods of category theory provide such a notion, having developed out of a structural approach in modern mathematical practice. As an example, it is then shown how the categorical notion of a topos provides a characterization of ‘logical structure’, and an alternative to the Pregean approach to logic which is continuous with the (...) modern structural approach in mathematics. (shrink)