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Lenses and Waves

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236 CHAPTER 6<br />

6.3 Traité de la Lumière <strong>and</strong> Huygens’ oeuvre<br />

Traité de la Lumière looks like a complete <strong>and</strong> purposively elaborated whole,<br />

an exemplar of a seventeenth-century mathematical physics in which the<br />

principles of optics are derived from a mathematized theory of the<br />

corpuscular nature of light. Traité de la Lumière is often regarded as exemplary<br />

for Huygens’ science as well. In particular, historians has regarded it as a<br />

proof of the fundamental role mechanistic philosophy played in his science.<br />

Yet, it is risky to base an interpretation on the eventual text, as it barely hints<br />

at the winding road towards the final result. In my view, the historicization<br />

of Traité de la Lumière of the preceding chapters sheds new light on Huygens’<br />

science in general.<br />

In the historical literature, Traité de la Lumière is often seen as a direct<br />

response to Descartes’ optics. Sabra first characterizes Huygens’<br />

Cartesianism <strong>and</strong> then shows how it produced the wave theory. 81 Along<br />

similar lines, E.J. Dijksterhuis calls Traité de la Lumière the high-point of<br />

seventeenth-century mechanistic science <strong>and</strong> its author the first perfect<br />

Cartesian. 82 In Traité de la Lumière the mechanistic conception of nature was<br />

indeed perfected, but mechanistic science had not given the momentum to<br />

its materialization. Seeing it as a response to Descartes fails to account for<br />

the fact that mechanistic thinking is virtually absent in his optics prior to the<br />

1670s. At a relatively late stage, Huygens began considering the causes of the<br />

laws of optics <strong>and</strong> only while developing the wave theory did Huygens<br />

become a ‘mechanistic thinker’. The new form Traité de la Lumière gave to<br />

mechanistic explanation was the outcome of questions pertaining to<br />

geometrical optics, rather than some preconceived plan or mechanistic<br />

programme.<br />

I think that Huygens’ commitment to mechanistic philosophy was not as<br />

decisive as is often assumed. His ideas on the nature of light were, of course,<br />

based on prevailing mechanistic conceptions, <strong>and</strong> Huygens was well aware of<br />

the problems in Descartes’ optics. Yet, questions of mechanistic theory were<br />

not the impetus or drive of his consideration of causes in optics. The<br />

problem of strange refraction set it going <strong>and</strong> its persistence gave it an<br />

unexpected twist, eventually resulting in the wave theory as we know it.<br />

Huygens’ mechanistic conceptions regarding the nature of light only played a<br />

limited role in the development <strong>and</strong> establishment of the wave theory. He<br />

displayed a particular lack of interest in elaborating the mechanistic finesses<br />

of his theory, for example by avoiding the question why waves propagate<br />

asymmetrically in Icel<strong>and</strong> crystal. The strict definition of what counts as a<br />

‘raison de mechanique’ is largely my interpretation, as Huygens himself did<br />

not explicate it in Traité de la Lumière.<br />

81 “There is in fact evidence to show that Huygens first arrived at his views regarding the nature of light<br />

<strong>and</strong> the mode of its propagation through an examination of Descartes’ ideas.” Sabra, Theories of Light, 198.<br />

82 Dijksterhuis, Mechanization, 503-507.

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