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Time&Eternity

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Time in the Formulation of Scientific Theory 157<br />

Kunstsprache]. Portions of this artificial language are gradually integrated<br />

into everyday language. This applies, for example, to the concepts of energy,<br />

impulse, entropy, and electrical field. 234 By its expansion into areas that are<br />

not directly accessible to sensory experience, modern physics has made the<br />

limitation or even failure of language at certain points even more obvious.<br />

One has been forced to rethink what were apparently simple concepts, for<br />

example, space, place, time, and velocity. The theory of relativity was rather<br />

successful in adapting the spoken language to the artificial mathematical<br />

language. By supplementing “simultaneous” with the qualifier “relative to a<br />

certain reference system,” for example, the question of whether time dilatation<br />

is real or only apparent becomes irrelevant. 235 The insight “that the<br />

world is ‘really’ not the way that everyday concepts would lead us to believe”<br />

has made its way into general consciousness. 236<br />

There are much greater difficulties for language in the area of the very<br />

small—in atomic physics. When one and the same object can occur either<br />

as a particle or as a wave, depending upon the experiment, then it is hard to<br />

adapt everyday language successfully to the artificial mathematical language.<br />

Language does not have a word for something that is simultaneously<br />

a wave and a solid body. Instead, “word paintings” [Wortgemälde] are used,<br />

i.e., a manner of speaking in which one alternately uses different, mutually<br />

contradicting pictorial images. 237 Heisenberg has no doubt that one must<br />

speak of atoms and subatomic particles in (normal) language: “We must<br />

speak about them because, otherwise, we cannot understand our experiments.”<br />

238 For Heisenberg, therefore, scientific understanding is accomplished<br />

only by means of language, and indeed no less in everyday language<br />

than in artificial mathematical language. An adequate description of<br />

processes in the quantum realm is attained “first by playing with the different<br />

images.” 239<br />

In the case of quantum physics, Heisenberg sees the reason for the difficulties<br />

in adapting the imprecise, metaphorical language of everyday speech<br />

to the artificial mathematical language in the fact that Aristotelian logic<br />

loses its validity in a language that tries to do justice to the mathematical<br />

formalism of quantum theory. A language responding to the demands of<br />

quantum physics requires a logic that allows not only the alternative “either<br />

right or wrong” for assertions, but also interim values that may not be interpreted<br />

as ignorance of the “true” state. 240 Heisenberg thinks that such a<br />

quantum logic 241 can be implemented if different logics are used for different<br />

linguistic levels (e.g., objects—statements about objects—statements<br />

about statements about objects), in which case Aristotelian logic would<br />

again have to be used on the highest level. 242 An ontological parallel to<br />

quantum logic would be the talk of coexisting conditions, or even better,

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