Pascal Rousseau. Fabrice Hybert

Rousseau and Criticism Rousseau et la Critique

Fabrice Pataut INCOMPLETENESS , CONSTRUCTIVISM AND TRUTH

Although Gödel proved the first incompleteness theorem by intuitionistically respectable means, Gödel’s formula, true although undecidable, seems to offer a counter-example to the general constructivist or anti-realist claim that truth may not transcend recognizability in principle. It is argued here that our understanding of the formula consists in a knowledge of its truth-conditions, that it ...

Vector Pascal

Vector Pascal is a language designed to support elegant and efficient expression of algorithms using the SIMD model of computation. It imports into Pascal features derived from the functional languages APL and J, in particular the extension of all operators to work on vectors of data. The type system is extended to handle dimensional analysis. Code generation is via the ILCG system that allows ...

Pascal Matrices

Every polynomial of degree n has n roots; every continuous function on [0, 1] attains its maximum; every real symmetric matrix has a complete set of orthonormal eigenvectors. “General theorems” are a big part of the mathematics we know. We can hardly resist the urge to generalize further! Remove hypotheses, make the theorem tighter and more difficult, include more functions, move into Hilbert s...

Henri Rousseau—known as Le Douanier Rousseau (1844–1910). The Snake Charmer (1907).

901 As the Gods began one world, and man another, So the snakecharmer begins a snaky sphere With moon-eye, mouth pipe. He pipes. Pipes green. Pipes water Sylvia Plath, " Snakecharmer " C ritics called him " naïve, " the term for painters with no formal training in art. Henri Rousseau, self-made late-bloomer from Laval, France, fit the definition. But his work proved that in art as in all ventur...