Wrestling with Nature From Omens to Science

150 Dear mathematics, according to Aristotle and everyone following him in the medieval and early- modern university, comprised ...

Mixed Mathematics 151 work when he devised the fi rst version of his new heliocentric system of the universe.^4 The terms being ...

152 Dear cal writers, displacing the previous terms but not itself representing any conceptual reformation.^9 Around the middle ...

Mixed Mathematics 153 mathematics as a respectable way of generating real understanding of the natural world, but also saw it as ...

154 Dear internalized many of the values that justifi ed his inferior position as a mathematician: he apparently regarded being ...

Mixed Mathematics 155 is not entirely satisfi ed if it does not grasp, or at least investigate, the prior causes from which thes ...

156 Dear “Physico- mathematics” meant to Beeckman a curious amalgam of con- jectural micro- mechanical explanations (of the sort ...

Mixed Mathematics 157 seventeenth century. However, the “physical” claims made by the latter necessarily also served to weaken, ...

158 Dear had no ideas on such questions, but simply that he could not prove them conclusively using mathematical- experimental m ...

Mixed Mathematics 159 fl uential role they played thereafter. Besides eighteenth- century self- styled followers of Newton, the ...

160 Dear that, in the end, may overthrow the foundations of all philosophy. For causes generally proceed in a continuous chain f ...

Mixed Mathematics 161 a central part of natural philosophy. Causes were not what they used to be. Newton’s exploitation of what ...

162 Dear Newton thought that he had established a substantive natural philosophi- cal point by means of the experimental techniq ...

Mixed Mathematics 163 mixed mathematics, as John Heilbron’s chapter in this volume notes. Un- der “Philosophie,” we read: It is ...

164 Dear no attention to the fact that all these arts are nothing but scaffolding for achieving science, and not science itself. ...

Mixed Mathematics 165 some communicative function, if only by virtue of its connotations and the disciplinary alliances that it ...

166 Dear when one looks over the centuries from the sixteenth to the twentieth is the unsettled character of notions of “causes” ...

Mixed Mathematics 167 how natural philosophy began to be implicated with practical know- how. The accompanying association of mi ...

168 Dear ematica (Mainz, 1612), 1:3; Francis Bacon, The Advancement of Learning; New Atlantis, ed. Arthur Johnston (Oxford: Clar ...

Mixed Mathematics 169 “Galileo and the Mixed Sciences,” in Method and Order in Renaissance Philosophy of Nature: The Aristotle C ...