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This study starts from the way philosophy of education was conceived by Richard Peters, how it has been amended in succeeding discussions within the Anglo-Saxon context as well has been the object of postmodern criticisms. Due to the changes in the educational area, it then asks what follows for its programme. Focusing on the debate concerning educational research it is argued that though it cannot do without addressing conceptual and justification issues, this should not be seen as a particular method. Philosophers of education write for different audiences (colleagues working in philosophy and philosophy of education), but they should not ignore those who are involved in educational practice and policy. They should therefore engage in a particular kind of 'political' research which transgresses the usual critical approach by offering also suggestions about how things could be done otherwise thus exemplifying the relevance of philosophy of education. ; El punto de partida para este estudio es la concepción de Richard Peters de la filosofía de la educación, así como las modificaciones que ha sufrido debidas a su discusión en el contexto anglosajón y a las críticas posmodernas. A la luz de los cambios actuales en la educación, esta contribución se pregunta sobre su futuro. Se argumenta, enfocándose en el debate sobre la investigación educativa, que aunque ésta no pueda evitar abarcar asuntos conceptuales y de justificación, no debe entenderse como un método más. Y aunque los filósofos de la educación escriben para audiencias diferentes (otros filósofos y filósofos de la educación), no obstante no deberían ignorar a quienes trabajan en la práctica y la política educativas. Por tanto su investigación debería ser 'política', superando el enfoque crítico usual para sugerir cómo las cosas podrían hacerse de manera diferente. Esto ilustraría la relevancia de la filosofía de la educación. ; Le point de départ de cette étude est la manière de laquelle la philosophie de l'éducation était conçue par Richard Peters, comment elle était amendée par les discussions successives dans le contexte anglo-saxon et comment elle est devenue l'objet des critiques postmodernes. Ensuite, cette contribution interroge les conséquences des changements récents dans le domaine de l'éducation pour le programme de la philosophie de l'éducation. Le débat de la recherche scientifique pédagogique prouve qu'elle ne peut pas négliger ni les concepts ni les questions justificatoires, mais que ça ne constitue pas de méthode particulière. Les philosophes de l'éducation écrivent pour des publics différents (des collègues de la philosophie et de la philosophie de l'éducation). Tout de même ils ne pourraient pas oublier ceux qui travaillent dans la praxis et la politique de l'éducation. A conséquence, ils doivent s'engager dans une recherche 'politique' qui transgresse la critique habituelle en offrant aussi des modes d'agir alternatifs. Ainsi cette approche montre l'importance de la philosophie de l'éducation.

Abstract. — The non radial oscillations of the homogeneous sphere, compressible or incompressible, are rediscussed on the basis of the general fourth order problem. This yields at once all the modes including the ƒ modes. It is also shown that the radial modes belong to the family of p modes and that the non solenoidal modes corresponding to the spherical harmonics of the first degree (l = 1) do not imply a displacement of the centre of mass and must then be taken into account as well as modes corresponding to higher harmonics.

The determination of the eigenvalues and eigenfunctions of the differential equations governing the non-radial oscillations of a heterogeneous compressible sphere, presents a complex mathematical problem. In previous discussions, the perturbation of the gravitational potential has always been neglected to simplify the problem. Even so only a few approximate solutions are known and for rather artificial models. We plan to compute by numerical integrations the exact eigenvalues and their solutions for some actual models of massive stars and use them to discuss the vibrational stability of the models and the effects of superadiabatic gradients on dynamical stability towards non-radial perturbations. In this paper, the results are given for the second spherical harmonic for one of the models.

Asymptotic expressions are given for the eigenvalues and
for the eigenfunctions [formula] associated to the p-modes and to the g-modes of the homogeneous compressible sphere. The first approximation of Langer's asymptotic method gives a good agreement with the exact eigenvalues.