The strong weak truth table (sw) reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occurs naturally in proofs in classical computability theory as well as in the recent work of Soare, Nabutovsky, and Weinberger on applications of computability to differential geometry. We study the sw-degrees of c.e. reals and construct a c.e. real which has no random c.e. real (i.e., Ω number) sw-above it.

We prove that there is no sw-complete c.e. real, negatively answering a question in [6].

Nielsen's model presents a new isomorphic brain-mind viewpoint, according to which the sole dream generator is found in a REM-on (explicit or covert REM) mechanism. Such a model cannot explain the dreamlike activity during SWS (slow wave sleep), SO (sleep onset) and in the last period of sleep. Moreover the hypothesis contrasts with Solms's data, which show that dreaming is present also in case of destruction of the REM generator. [Nielsen; Solms].

IT is well known that the art of logic (logica or diale(c)tica) knew a remarkable flourishing period during the twelfth century. In the first half of the century its main centres in Paris were: the School of Notre DameI, of St. Victor2, of the Petit Pont3 and of Mont Ste Geneviève4. The present paper aims to offer some new evidence from the manuscripts on the teaching of logic as given in the School of Mont Ste.

In REG 73 and 75 I discussed various points connected with the Peace of Philocrates, a number of which have been assailed by M. M. Markle in CQ N.S. 24 in an article entitled ‘The Strategy of Philip in 346 B.C.’. Time passes, and, although de Ste. Croix in his Origins of the Peloponnesian War , p.105, felt able to declare that ‘a book shortly to be published by M. M. Markle makes a valuable and original contribution to our understanding (...) of the Peace of Philocrates’, and Markle himself confirms that a book is indeed forthcoming, some comment on his preliminary comments may be permitted. (shrink)