>PRESENTATION:
Full Professor of Logic and Philosophy of Science at Florence University.
Former president of the International Quantum Structure Association, of
the Italian Society of Logic and Philosophy of Science and of the Centro
Fiorentino di Storia e Filosofia del la Scienza. Author of numerous publications
of Logic and of Foundations of Quantum Mechanics, including the book (cohauthored
with R. Giuntini and R. Greechie) Reasoning in Quantum Theory (Kluwer,
2004). Currently her interest is focused on the Logic of Quantum Computation. |
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Human perception and thinking seem to be essentially synthetic.
We never perceive an ob ject by scanning it point by point; we instead
form right away a Gestalt, a global idea of it. Gestalt-thinking processes
cannot be adequately represented in the framework of classical semantics,
which is basically compositional and analytical: the meaning of a whole
is determined by the meanings of its parts, and not vice versa. Quantum
computational semantics provides a mathematical formalism for an abstract
theory of meanings where the following conditions are satisfied: 1) global
meanings (which may correspond to a Gestalt) are intrinsically vague,
because they leave semantically undecided many relevant properties of
the objects under investigation; 2) any global meaning determines some
partial meanings , which are gen- erally more vague than the global one;
3) meanings (Gestalten) can be generally represented as superpositions
of other meanings, possibly associated to probability-values; 4) like
Gestalten, meanings are dealt with as intrinsically dynamic objects.
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