How come that finite language can produce certainty — at least a sufficiently certain certainty, sometimes apodictic — in the presence of infinity? The answer can by no means be found in external reality, quite the contrary: it seems that the very purpose of semantics is to make this question untractable with the help of an ad hoc analytical newspeak in which one cannot even formulate the above...

This case study evaluated the effects of implementing the Transcendental Meditation Programme among the police forces of three states of Brazil. After positive results among the police were reported by leaders in Goias state, police forces in other states began the programme. Results among police trainees in Piauf state who learned the Transcendental Meditation Programme included a high percent...

We show that the Hodge conjecture is false in general for products of surfaces. We construct a K3 surface whose transcendental lattice has a self-isomorphism which is not a linear combination of self-isomorphisms which preserve cup products over Q up to nonzero multiples. We then find another surface mapping into it in which the transcendental lattice is generated by H 1 cup products according ...

The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of Γ(x). Furthermore, it also determines differential transcendency of solution of some functional equatio...

DISCLAIMER: This is just a draft. I am not sure of the final purpose of this document, so at the moment I have included lots of known results, in particular proofs of the usual Fundamental Theorem of Galois theory (in the finite and then the algebraic case). Seeing such proofs helps (me) to understand the analogies between the Fundamental Theorem presented here and the usual cases. Also, CAVEAT...

In this paper we show how the restriction of the complex algebraic cycles to real part of a complex algebraic set îs related to the real algebraic cycles of the real part As a corollary we give examples of smooth submanifolds of a Euchdean space which can not be isotoped to real parts of complex nonsingular subvaneties in the corresponding projective space Algebraic numbers are dense in R. The ...

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