The analyses in this paper are mainly based on Kuhn’s theory of scientific paradigms (Kuhn, 1970) and on Lakatos’ theory of research programs (Lakatos, 1970). Chalmers (1999) shows that although Lakatos’ perspective differs in a number of ways significantly from that of Kuhn, Lakatos’ research programs also share many similarities with Kuhn's paradigms. They are both complex scientific structur...

Kuhn’s incommensurability thesis seems to challenge scientific realism. One response to that challenge is to focus on the continuity of reference. The causal theory of reference in particular seems to offer the possibility of continuity of reference that would provide a basis for the sort of comparability between theories that the realist requires. In “Dubbing and Redubbing: The Vulnerability o...

Mounier Kuhn syndrome, or congenital tracheobronchomegaly, is an under diagnosed clinical entity with peculiar anatomical and physiological features making anesthetic care challenging. A 58-year-old chronic smoker with history of recurrent pneumonia and bronchiectasis presented for septoplasty. Thoracic imaging revealed a dilated trachea and main bronchi, tracheal and bronchial diverticuli, and...

In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications introduce a weak qualification which assures the equivalence between SCAKKT Karush-Kuhn-Tucker (J Optim Theory Appl 80 (3): 483-500, 1994) problems.

In this paper we study the nonsmooth semi-infinite programming problem with inequality constraints. First, we consider the notions of local cone approximation $Lambda$ and $Lambda$-subdifferential. Then, we derive the Karush-Kuhn-Tucker optimality conditions under the Abadie and the Guignard constraint qualifications.

We study the smoothing method for the solution of generalized semi-infinite optimization problems from (O. Stein, G. Still: Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42(2003), pp. 769–788). It is shown that Karush-Kuhn-Tucker points of the smoothed problems do not necessarily converge to a Karush-Kuhn-Tucker point of the original problem...