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Since nothing is intrinsically computational, one cannot have a scientific theory that reduces the mental, which is not observer-relative, to computation, which is. "Computation exists only relative to some agent or observer who imposes a computational interpretation on some phenomenon.
In other words, we cannot expect to hold under our natural computational interpretation of the quantifier ∀ and the connective ∨.
The anatomical organization of the cerebellum provides a clear example of a network amendable to this computational interpretation.
Several extensions of Gödel's system T with new forms of recursion have been designed for the purpose of giving a computational interpretation to classical analysis.
Thus the computational interpretation of enables us to decide whether there exists n such that an = 1; in other words, it enables us to decide the status of the Goldbach Conjecture.
Computation, or syntax, is "observer-relative", not an intrinsic feature of reality: "…you can assign a computational interpretation to anything" (Searle 2002b, p. 17), even the molecules in the paint on the wall.
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All the usual set-theoretic constructs, including inductive data-types, get computational interpretations.
Different schematic barrier profiles are discussed that explain both experimental and computational interpretations, and we propose a set of experiments aimed at validation of the presented results.
We give a constructive analysis of learning as it arises in various computational interpretations of classical Peano Arithmetic, such as Aschieri and Berardi learning based realizability, Avigad's update procedures and epsilon substitution method.
To quantify the agreement of experimental and computational interpretations, we defined a consistency coefficient representing the fraction of genes (η Genes) or enzymes (η Enzymes) predicted active by FBA and detected by high-throughput technology, see methods section.
This high background makes computational data interpretation very difficult, with only strong recovered signal being informative.
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