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On Meaningful Scientific Laws

Jean-Claude Falmagne, Christopher Doble (Autoren)

Buch | Hardcover

XIII, 170 Seiten

2015 | 1st ed. 2015
Springer Berlin (Verlag)
978-3-662-46097-9 (ISBN)

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The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or "Gedanken Experiments". Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations.

Jean-Claude Falmagne is emeritus professor of cognitive sciences at the Universtiy of California, Irvine. His research spans topics in psychophysics, probabilistic choice theory, combinatorics, measurement theory, educational technology, and philosophy of science.

Overview.- Extensive Measurement.- Functional Equations.- Abstract Axioms and their Representations.- Defining Meaningfulness.- Meaningfullness and Dimensional Invariance.- Propagating Axioms via Meaningfulness.- Meaningful Representation of Scientific Codes.- Order Invariance under Transformations.- Open Problems.- Bibliography.- Index.

Erscheint lt. Verlag	2.10.2015
Zusatzinfo	XIII, 170 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	abstract axioms • Algorithm analysis and problem complexity • Dimensional Analysis • functional equations • invariance under transformations • mathematical representations • meaningfulness • Measurement • scientific code
ISBN-10	3-662-46097-1 / 3662460971
ISBN-13	978-3-662-46097-9 / 9783662460979
Zustand	Neuware