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René Descartes (1596-1650):Descartes disagreed with Galileo’s and Bacon’s experimental methods because he believedthat one could only:

“(1) Accept nothing as true that is not self-evident. (2) Divide problems into their simplest parts. (3)Solve problems by proceeding from simple to complex. (4) Recheck the reasoning.”

4http://www.hfac.uh.edu/gbrown/philosophers/leibniz/BritannicaPages/Descartes/Descartes.html
That these “4 laws of reasoning” followed from Descartes’ ideas onmathematics (he invented derivative and integral calculus in order to better explain natural law) gives the impression that Descartes,like many 17th century philosophers, were using advances in disciplines outside philosophy and science to enrich scientifictheory. Additionally, the laws set forth by Descartes promote the idea that he trusted only the fruits of human logic, not theresults of physical experimentation, because he believed that humans can only definitely know that “they think therefore theyare.” Thus, according to Descartes’s logic, we must doubt what we perceive physically (physical experimentation is imperfect) becauseour bodies are external to the mind (our only source of truth, as given by God).
5Hall, p 178
Even though Descartes denounced Baconian reasoning and medieval empiricism as shallow andimperfect, Descartes did believe that conclusions could come about through acceptance of a centrifugal system, in which one could workoutwards from the certainty of existence of mind and God to find universal truths or laws that could be detected by reason.
6Hall, p 179
It was to this aim that Descartes penned the above “4 laws of reasoning” – to eliminateunnecessary pollution of almost mathematically exact human reason.

Robert Boyle (1627-1691):

Boyle is an interesting case among the 17th century natural philosophers, in that he continued to use medievalteleology as well as 17th century Galilean mechanism and Baconian induction to explain events. Even though he made progress in thefield of chemistry through Baconian experimentation (fact-finding followed by controlled experimentation), he remained drawn toteleological explanations for scientific phenomena. For example, Boyle believed that because “God established rules of motion andthe corporeal order – laws of nature,” phenomena must exist to serve a certain purpose within that established order. Boyle usedthis idea as an explanation for how the “geometrical arrangement of the atoms defined the chemical characteristics of the substance.”

7http://www.rod.beavon.clara.net/leonardo.htm
Overall, Boyle’s attachment to teleology was not so strange in the 17thcentury because of Descartes’ appeal to a higher being as the source of perfection in logic.

Hooke (1635-1703):

Hooke, the Royal Society’s first Curator of Experiments from 1662-1677, considered science as way of improvingsociety. This was in contrast to medieval thought, where science and philosophy were done for knowledge’s sake alone and ideas weretested just to see if it could be done. An experimentalist who followed the Baconian tradition, Hooke agreed with Bacon’s ideathat “history of nature and the arts” was the basis of science.

8Hellyer, p 36
He was also a leader in publicizing microscopy (not discovering, it had been discovered 30years prior to his Micrographia).

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Source:  OpenStax, Nanotechnology: content and context. OpenStax CNX. May 09, 2007 Download for free at http://cnx.org/content/col10418/1.1
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