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1

SCHICKORE, JUTTA, and FRIEDRICH STEINLE, eds. Revisiting Discovery and Justification. Dordrecht: Kluwer Academic Publishers, 2006. http://dx.doi.org/10.1007/1-4020-4251-5.

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2

L, Chance Beth, ed. Workshop statistics: Discovery with data. 4th ed. Hoboken, NJ: Wiley, 2012.

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3

J, Rossman Allan, ed. Workshop statistics: Discovery with data, a Bayesian approach. Emeryville, CA: Key College Pub., 2001.

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4

Lakatos, Imre. Proofs and refutations: The logic of mathematical discovery. Cambridge: Cambridge University Press, 1991.

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5

Giovanni, Felici, and Vercellis Carlo, eds. Mathematical methods for knowledge discovery and data mining. Hershey, PA: Information Science Reference, 2007.

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6

Pólya, George. Mathematical discovery: On understanding, learning, and teaching problem solving. New York: Ishi Press, 2009.

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7

Box, George E. P. Statistics for experimenters: Design, innovation, and discovery. 2nd ed. Hoboken, N.J: Wiley-Interscience, 2005.

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8

Franklin, Allan. The rise and fall of the "Fifth Force": Discovery, pursuit, and justification in modern physics. New York: American Institute of Physics, 1993.

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9

Piegorsch, Walter W. Statistical data analytics: Foundations for data mining, informatics, and knowledge discovery. Chichester, West Sussex: John Wiley & Sons Inc., 2015.

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10

Graphic discovery: A trout in the milk and other visual adventures. Princeton, N.J: Princeton University Press, 2005.

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11

Box, George E. P. Box on process improvement, quality, and discovery. Hoboken, NJ: Wiley-Interscience, 2006.

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12

Rossman, Allan J. Workshop statistics: Discovery with data. 3rd ed. Emeryville, CA: Key College Pub., 2008.

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13

Rossman, Allan J. Workshop statistics: Discovery with data. 2nd ed. Emeryville, CA: Key College Pub., 2001.

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14

Workshop statistics: Discovery with data. New York: Springer, 1996.

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15

Fueling innovation and discovery: The mathematical sciences in the twenty-first century. Washington, D.C: National Academies Press, 2012.

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16

Women and numbers: Lives of women mathematicians plus discovery activities. San Carlos, CA: Wide World Publishing/Tetra, 1993.

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17

E, MacCuish Norah, ed. Clustering in bioinformatics and drug discovery. Boca Raton: Taylor & Francis, 2011.

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18

L, Chance Beth, and Workshop Mathematics Project, eds. Workshop statistics: Discovery with data and Minitab. New York: Springer, 1998.

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19

L, Chance Beth, Lock Robin H, and Workshop Mathematics Project, eds. Workshop statistics: Discovery with data and Fathom. 2nd ed. Emeryville, Calif: Key College Pub., 2001.

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20

L, Chance Beth, and Workshop Mathematics Project, eds. Workshop statistics: Discovery with data and Minitab. 2nd ed. Emeryville, CA: Key College Pub., 2001.

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21

Gertenbach, Jan D. Workbook on aspects of dynamical meteorology: A self discovery mathematical journey for inquisitive minds. Pretoria (Private Bag X097, Pretoria 0001): J.D. Gertenbach, 2001.

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22

Rossman, Allan J. Workshop statistics: Discovery with data and the graphing calculator. 2nd ed. Emeryville, CA: Key College Pub., 2001.

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23

L, Chance Beth, and Von Oehsen J. Barr, eds. Workshop statistics: Discovery with data and the graphing calculator. 3rd ed. Emeryville, CA: Key College Pub., 2008.

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24

Barr, Von Oehsen J., ed. Workshop statistics: Discovery with data and the graphing calculator. New York: Springer, 1997.

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25

Ji yu nei zai ren zhi ji li de zhi shi fa xina li lun: Knowledge discovery theory based on inner cognitive mechanism. Beijing Shi: Guo fang gong ye chu ban she, 2009.

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26

Smullyan, Raymond M. The lady or the tiger? and other logic puzzles: Including a mathematical novel that features Gödel's great discovery. New York: Times Books, 1992.

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27

Tsotsos, John Konstantine. Analyzing vision at the complexity level: Constrains on an architecture, an explanation for visual search performance, and computational justification for attentive processes. Toronto: University of Toronto, Dept. of Computer Science, 1987.

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28

Pricing the future: Finance, physics, and the 300-year journey to the Black-Scholes equation : a story of genius and discovery. New York: Basic Books, 2011.

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29

library, Wiley online, ed. Pharmaceutical data mining: Approaches and applications for drug discovery. Hoboken, N.J: Wiley, 2010.

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30

Shanahan, James G. Soft Computing for Knowledge Discovery: Introducing Cartesian Granule Features. Boston, MA: Springer US, 2000.

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31

Pharmaceutical data mining: Approaches and applications for drug discovery. Hoboken, N.J: Wiley, 2010.

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32

Maimon, Oded. Knowledge Discovery and Data Mining: The Info-Fuzzy Network (IFN) Methodology. Boston, MA: Springer US, 2001.

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33

Pricing the future: Finance, physics, and the 300-year journey to the Black-Scholes equation : a story of genius and discovery. New York: Basic Books, 2011.

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34

Greiner, Walter. The Nuclear Equation of State: Part A: Discovery of Nuclear Shock Waves and the EOS. Boston, MA: Springer US, 1989.

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35

Özyer, Tansel. Mining Social Networks and Security Informatics. Dordrecht: Springer Netherlands, 2013.

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36

Giusti, Antonio. Classification and Data Mining. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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37

Xanthopoulos, Petros. Robust Data Mining. New York, NY: Springer New York, 2013.

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38

Pardalos, P. M. Optimization and Data Analysis in Biomedical Informatics. New York, NY: Springer New York, 2012.

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39

Deng, Minghua. Research in Computational Molecular Biology: 17th Annual International Conference, RECOMB 2013, Beijing, China, April 7-10, 2013. Proceedings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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40

Ehmke, Jan Fabian. Integration of Information and Optimization Models for Routing in City Logistics. Boston, MA: Springer US, 2012.

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41

Yang, Xibei. Incomplete Information System and Rough Set Theory: Models and Attribute Reductions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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42

Xu, Zeshui. Linguistic Decision Making: Theory and Methods. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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43

service), SpringerLink (Online, ed. Advances in K-means Clustering: A Data Mining Thinking. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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44

1935-, Stückelberger Alfred, Grasshoff Gerd, and Mittenhuber Florian, eds. Klaudios Ptolemaios Handbuch der Geographie: Griechisch-deutsch. Basel: Schwabe Verlag, 2006.

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45

1921-, Humbach Helmut, and Ziegler Susanne, eds. Ptolemy, geography, book 6: Middle East, Central and North Asia, China. Wiesbaden: Reichert, 1998.

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46

Grosholz, Emily. Leibnizian analysis, canonical objects, and generalization. Edited by Karine Chemla, Renaud Chorlay, and David Rabouin. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198777267.013.11.

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This article examines Gottfried Leibniz’s notion of analysis by focusing on his investigation of transcendental curves. It argues that Leibnizian analysis can be understood as an art of both discovery and justification in mathematics that aims for generalization rather than abstraction, and explanation rather than formal proof. The article first considers Leibniz’s work on the catenary before discussing some of his pronouncements on analysis as the search for conditions of intelligibility. It also evaluates some modern accounts of Leibniz’s notion of analysis by contemporary philosophers, including Carlo Cellucci, Herbert Breger, and Nancy Cartwright. It argues that concrete terms can be used to say something true only when they are combined with more abstract locutions that express the conditions of intelligibility of the thing denoted, the formal causes that make the thing what it is and so make its resemblance to other things possible.
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47

Fitting, Melvin. Justification Logic: Reasoning with Reasons. Cambridge University Press, 2019.

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48

Pukite, Paul, Dennis Coyne, and Daniel Challou. Mathematical Geoenergy: Discovery, Depletion, and Renewal. American Geophysical Union, 2019.

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49

Shimizu, Shohei. Semiparametric Structural Equation Models for Causal Discovery. Springer, 2021.

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50

Schickore, Jutta, and Friedrich Steinle. Revisiting Discovery and Justification: Historical and philosophical perspectives on the context distinction. Springer, 2011.

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