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Summary: Necessity of Combining Mutually Incompatible
Perspectives in the Construction of a Global View:
Quantum Probability and Signal Analysis
Sven Aerts and Diederik Aerts
Center Leo Apostel for Interdisciplinary Studies (CLEA)
and Foundations of the Exact Sciences (FUND)
Department of Mathematics, Vrije Universiteit Brussel
1160 Brussels, Belgium
E-Mails: saerts@vub.ac.be, diraerts@vub.ac.be
Franklin E. Schroeck
Department of Mathematics
John Greene Hall, 2360 S. Gaylord St.
University of Denver, Denver, USA
E-Mail: fschroec@du.edu
Abstract
The scientific fields of quantum mechanics and signal-analysis origi-
nated within different settings, aimed at different goals and started
from different scientific paradigms. Yet the development of the two
subjects has become increasingly intertwined. We argue that these
similarities are rooted in the fact that both fields of scientific inquiry
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