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The Language of Nature: The Language of Nature

The Language of Nature
The Language of Nature
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table of contents
  1. Cover Page
  2. Series Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Introduction
  7. 1. Reading the Book of Nature: The Ontological and Epistemological Underpinnings of Galileo’s Mathematical Realism
  8. 2. “The Marriage of Physics with Mathematics”: Francis Bacon on Measurement, Mathematics, and the Construction of a Mathematical Physics
  9. 3. On the Mathematization of Free Fall: Galileo, Descartes, and a History of Misconstrual
  10. 4. The Mathematization of Nature in Descartes and the First Cartesians
  11. 5. Laws of Nature and the Mathematics of Motion
  12. 6. Ratios, Quotients, and the Language of Nature
  13. 7. Color by Numbers: The Harmonious Palette in Early Modern Painting
  14. 8. The Role of Mathematical Practitioners and Mathematical Practice in Developing Mathematics as the Language of Nature
  15. 9. Leibniz on Order, Harmony, and the Notion of Substance: Mathematizing the Sciences of Metaphysics and Physics
  16. 10. Leibniz’s Harlequinade: Nature, Infinity, and the Limits of Mathematization
  17. 11. The Geometrical Method as a New Standard of Truth, Based on the Mathematization of Nature
  18. 12. Philosophical Geometers and Geometrical Philosophers
  19. Contributors
  20. Index

INDEX OF SUBJECTS

accident (property, attribute), 31, 34–35, 39, 41, 45, 120–21, 125, 127, 131n19, 147, 152–52, 156n18, 171, 282, 291, 313–15, 329–33

algebra, 5, 7, 11, 160–74, 209, 233, 240, 313, 316, 333n3

animals, 233, 254, 258, 264

astronomy, 1–3, 7, 9–10, 12, 21, 23, 26, 29–30, 48, 61–62, 65, 141, 208–9, 212, 327

Bible, 34, 140

biology, 12, 13, 15, 21, 269

body, 82, 120, 135–52, 156n22, 161, 229, 233, 235–36, 237–38, 244–45, 255–69, 278, 287, 310, 328, 329, 330

calculus, 56, 62, 75, 86, 160, 262–63, 316, 333n8

Cartesians (Cartesianism), 112–32, 251, 258, 269, 278–79, 292, 308, 314, 328–29

causality, 3, 6, 61, 126, 143, 145, 147–49, 156n22, 171, 175–76n14, 278–79, 309–10, 315, 317, 334n7. See also definition

chemistry, 131n21, 294

color, 19–20, 178–98, 308

cosmology, 2, 10–12, 75n37, 144–45

definition, 4, 123, 141–43, 147–48, 152, 155n13, 156n28, 160–74, 279–95, 328

determinism, 292, 295

experience, 15, 113–14, 189, 213, 217–18, 276, 282, 284, 291, 293, 296, 321–33

experiment, 15, 51–54, 58–61, 63–70, 113–14, 129, 180, 185, 192, 199n6, 207, 215, 284, 290–91, 299n17, 301–2n29, 330

extension, 36, 99–100, 107n21, 121, 127, 135, 138, 152, 287, 297n5, 328–29

geography, 15, 213–15, 217–19, 223n33

geometry, 1–5, 8–17, 19–27, 30–33, 39–40, 43, 46, 49n1, 55–58, 72n12, 73n22, 82, 86–87, 96, 106n13, 113, 120, 127, 132n24, 135, 138, 146–48, 152, 157n28, 160–74, 206, 208, 212, 215, 232–34, 237–38, 244, 251–52, 256–60, 262–63, 275–76, 281–85, 297, 301n13, 308–33

god, 41, 43, 46, 47, 126, 136–38, 148–52, 156–57n22, 157n26, 176n14, 206, 209, 229–30, 232, 236, 276–78, 281, 285–88, 291–96, 297n1, 298n6, 299n14, 336n27

infinite, 5, 11, 21, 39, 41, 87, 102–3, 151, 233–36, 253–59, 262–65, 267–70, 302n30, 313, 316, 330

laws, 5, 6, 8, 18–19, 39, 43, 45, 86, 102, 106n13, 134–54, 160, 200n19, 230–32, 246nn8–9, 248n32, 252, 261, 301n23, 317, 320–22, 325

life, 12, 235, 250–55, 261, 264, 267

logic, 121–24, 130n18, 131n22, 147, 170, 246n11, 279, 289, 292, 300n20

mathematization, 1–23, 32, 52, 72n12, 82, 86–87, 109n35, 112–15, 119, 121, 128, 129n6, 198, 205, 219, 230, 232, 251–53, 260–62, 269–70, 275–79, 295–96, 299n16, 310, 314, 332–33

mechanical, 4–6, 8, 11–12, 14, 19, 52, 55, 58, 61, 71n7, 72n13, 74nn32–34, 102, 107, 156n22, 174, 250–52, 259–62, 263–64, 268–69, 275–77, 282–83, 297n4, 298n7, 299n14, 301n22, 308–18, 322, 323, 326, 332–33

medicine, 12, 15, 72n10, 131n21, 250–53, 259–60, 269, 294

metaphysics, 5, 12, 14, 18, 31–32, 51, 55, 63, 73n20, 74n33, 77n45, 87, 117, 119, 121, 125, 127, 131n20, 132n24, 229–34, 237–38, 244–45, 252, 262–63, 265, 275, 279, 283, 286, 292–93, 299n14, 328

method, 1–8, 12, 18, 22–23, 29, 41, 55, 60, 63, 112–14, 116–20, 122–25, 128, 129n11, 130n16, 131–32n23, 145, 170, 173, 175n13, 205–6, 220, 240, 250–53, 257–59, 274–96, 308–9, 311, 317, 327–28, 334n10

mind, 9–10, 16, 18–19, 39, 41, 46, 120, 122–24, 128, 131n22, 132n24, 214, 281, 287, 300n18, 302n30, 321, 329

motion (rest), 1–3, 6, 9, 11–13, 17–20, 38–39, 42, 62–63, 75n35, 76n32, 81–103, 120–21, 126–27, 131n19, 132n24, 134–54, 161, 168, 171–74, 210, 216, 234, 237–38, 244–45, 251, 256, 259–62, 275, 283–84, 289, 300n19, 301nn22–23, 308–33

optics, 2–4, 7, 9, 12, 57, 139, 193, 283

philosophy (natural philosophy), 1–23, 33, 58–59, 83, 100, 101, 121–22, 124–28, 131n22, 139–40, 146–47, 150–52, 154, 156n22, 157n28, 186, 205–10, 212–16, 219–21, 222n23–24, 229, 250–53, 261–62, 268–70, 308–12, 316–18, 327–28, 334n6, 338n23

physics, 4–7, 9–10, 12–14, 16–19, 21–22, 40–41, 51–53, 55–56, 60–63, 69, 73, 74n28, 74–75n34, 76n42, 112–13, 119–22, 124–25, 130n16, 131n21, 132n24, 173–74, 210, 229–31, 245, 252–53, 269, 284, 294, 310, 333

physiology, 21, 126, 250–52, 259, 262, 271n11

quantity, 120–21, 131n19, 163–64, 166, 168–70, 309, 310, 321

scholasticism, 4, 6, 7, 33–36, 83, 113, 120–21, 124, 126, 131–32n23, 214, 286–87, 299, 302n29, 329

soul, 127, 132n24, 229, 234–36, 247n21, 255, 260, 261, 265, 266–67, 278

space (place), 1, 5, 9–11, 17, 20–21, 30, 44, 60, 84–94, 97–98, 112–13, 144–45, 147–48, 161, 171–74, 223n33, 297, 310, 316, 328–32, 333, 335n23, 336n27

substance, 9, 21, 23, 34–38, 67–68, 120, 126–27, 183–84, 189, 191, 229–36, 244–45, 246n9, 247n22, 258–59, 261–62, 265, 268, 271n7, 293

theology, 19, 151, 176, 206–7, 278–81, 286, 288, 290–95, 299n14, 300n18

time, 1, 5, 7, 9, 11, 44, 60, 76n39, 81–107, 141–42, 145–49, 155n13, 160, 171–72, 231–32, 234–36

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