The work of
Galileo Galilei in the application of the
telescope to astronomical observation met with rejection from influential sceptics. They denied the truth of his most startling reports, such as that there were mountains on the Moon and
satellites around Jupiter. In particular, some prominent philosophers, most notably
Cesare Cremonini, refused to look through the telescope, arguing that the instrument itself might have introduced
artefacts that produced the illusion of mountains or satellites invisible to the naked eye. To neglect such possibilities amounted to
underdetermination in which argument for optical artefacts could be urged as being of equal merit to arguments for observation of new celestial effects. On a similar principle in modern times a prevalent view is that "
extraordinary claims require extraordinary evidence". In the early 17th century the modern version of the Duhem–Quine thesis had not been formulated, but common-sense objections to such elaborate and ad hoc implicit auxiliary assumptions were urged. To begin with, the mechanism of the (Galilean) telescopes had been explained in terms of
geometrical optics, and the nature of the objects that they imaged was consistent; for example, a distant lake would not resemble a tree when seen through a telescope. The behaviour of telescopes on Earth denied any basis for arguing that they could create systematic artefacts in the sky, such as apparent satellites that behaved in the predictable manner of
Jovian moons. Evidence also offered no basis to suggest that they could present yet other, more elaborate artefacts, fundamentally different from the satellites, such as lunar mountains that cast shadows varying consistently with the direction of solar illumination. In practice the
politics and theology of the day determined the result of the dispute, but the nature of the controversy was a clear example of how different bundles of (usually implicit) auxiliary assumptions could support mutually inconsistent hypotheses concerning a single theory. In terms of either version of the Duhem–Quine thesis, it therefore is necessary to study the defensibility of the auxiliary assumptions, together with the primary hypothesis, to arrive at the most viable working hypothesis. ==Pierre Duhem==