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Conservation and Innovation : Helmholtz's Struggle with Energy ...

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literature 456. There is an intrinsic difficulty in assuming an implicit definition of<br />

energy conservation as a historiographical tool: there were many formulations at<br />

the mid of last century, many competing views in the debates of the following<br />

decades, <strong>and</strong> even competing views in this century on the general validity of the<br />

principle 457. Thus what is needed for an historical analysis is an explicit point of<br />

view that does not offer "the formulation" but a possibility of grouping <strong>and</strong><br />

comparing the various expressions. An important contribution was already given<br />

in 1887 in one of the "classics" mentioned above; Planck in fact clarified the<br />

difficult meaning of the principle of energy conservation: following W.Thomson<br />

he defined "energy" as the amount of work that can be done between two states<br />

of a system, he asserted that can be experimentally proved that this (quantity of)<br />

energy is conserved, he outlined a certain arbitrariety in the theoretical expression<br />

of this quantity, he warned 458 about the impossibility of a primary definition of<br />

energy <strong>and</strong> about the everlasting theoretical-empirical interplay that leads to<br />

different formulations <strong>and</strong> applications of the principle. If we accept that "energy"<br />

is not a thing, nor a theory but that it is a relational term 459 whose principle of<br />

conservation, if adopted, had <strong>and</strong> has a number of different formulations we<br />

underst<strong>and</strong> the reason for the difficulty in the historians' works to offer "one"<br />

explicit definition: there are in fact many. Contemporary textbooks, adopting a<br />

superposition principle, list one for every field of inquiry (mechanical,<br />

electromagnetic, nuclear,...) but for each of these at the time of the original<br />

456 When a definition is referred to, there is always a lack of generality; see for<br />

instance: Heimann, Peter. "Conversion of Forces <strong>and</strong> the <strong>Conservation</strong> of <strong>Energy</strong>." In<br />

Centaurus 18 (1974):147-61, p.148 refers to Rankine 1853. Hiebert holds a factorisation<br />

approach: Hiebert, Erwin. "Commentary on the Papers of Thomas Kuhn <strong>and</strong> I.Bernard<br />

Cohen." In Critical Problems in the History of Science . M.Clagett ed. Madison: Wisconsin<br />

U.P, 1959: 391-400. P.392; see also: Hiebert, E. Historical Roots of the Principle of<br />

<strong>Conservation</strong> of <strong>Energy</strong> University of Wisconsin:1962. Rep: New York: Arno Press, 1981.<br />

Pp. 1-6 <strong>and</strong> the related criticisms of Jammer, Max . "Factorisation of <strong>Energy</strong>". In BJPS 14<br />

(1963-4): 160-6.<br />

457 Pauli, Wolfgang. Aufsätze und Vorträge über Physik und Erknenntnistheorie<br />

(1933-58) . Chapt.16.<br />

the "classics".<br />

458 Planck Princip Pp. 104-115.<br />

459 Cantor Locating p.2, recalls Cassirer, showing the relevance of the inheritance of

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