References
Aharonov, Y., & Bohm, D.. 1959. “Significance of Electromagnetic Potentials in the Quantum Theory.” Physical Review, 115: 485–491.
Ardourel, V. 2018. “The Infinite Limit As an Eliminable Approximation for Phase Transitions.” Studies in History and Philosophy of Modern Physics, 62: 71–84.
Ardourel, V., & Jebeile., J. 2017. “On the Presumed Superiority of Analytical Solutions over Numerical Methods.” European Journal for Philosophy of Science, 7: 201–220.
Arovas, D. P., Schrieffer, J. R., & Wilczek., F. 1984. “Fractional Statistics and the Quantum Hall Effect.” Physical Review Letters, 53: 722–723.
Bain, J. 2013. “Emergence in Effective Field Theories.” European Journal for Philosophy of Science, 3: 257–273.
Bain, J. 2016. “Emergence and Mechanism in the Fractional Quantum Hall Effect.” Studies in History and Philosophy of Modern Physics, 56: 27–38.
Baker, A. 2005. “Are There Genuine Mathematical Explanations of Physical Phenomena?” Mind, 114: 223–238.
Baker, A. 2009. “Mathematical Explanation in Science.” British Journal for the Philosophy of Science, 60: 611–633.
Ballesteros, M., & Weder, R.. 2009. “The Aharonov–Bohm Effect and Tonomura et al. Experiments: Rigorous Results.” Journal of Mathematical Physics, 50: 122108.
Ballesteros, M., & Weder, R.. 2011. “Aharonov–Bohm Effect and High-Velocity Estimates of Solutions to the Schrödinger Equation.” Communications in Mathematical Physics, 303(1): 175–211.
Bangu, S. 2019. “Discontinuities and Singularities, Data and Phenomena: For Referentialism.” Synthese, 196: 1919–1937.
Baron, S. 2016. “The Explanatory Dispensability of Idealizations.” Synthese, 193: 365–386.
Baron, S. 2019. “Infinite Lies and Explanatory Ties: Idealization in Phase Transitions.” Synthese, 196: 1939–1961.
Batterman, R. 2002. The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence. New York: Oxford University Press.
Batterman, R. 2006. “Hydrodynamics versus Molecular dynamics: Intertheory relations in condensed matter physics. Philosophy of Science, 73(5), 888–904.
Batterman, R. 2021. A Middle Way: A Non-fundamental Approach to Many-Body Physics. Oxford: Oxford University Press.
Batterman, R., & Rice, C.. 2014. “Minimal Model Explanations.” Philosophy of Science, 81(3): 349–376.
Baumberger, C. 2011. “Types of Understanding: Their Nature and Their Relation to Knowledge.” Conceptus, 40: 67–88.
Bocchieri, P., & Loinger., A. 1978. “Nonexistence of the Aharonov–Bohm Effect.” Nuovo Cimento, 47A: 475–482.
Bocchieri, P., & Loinger., A. 1981. “Charges in Multiply Connected Spaces.” Nuovo Cimento, 66: 164–172.
Bokulich, A. 2008. Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism. Cambridge: Cambridge University Press.
Borwein, J., & Crandall., R. 2013. “Closed Forms: What They Are and Why We Care.” Notices of the American Mathematical Society, 60(1): 50–65.
Boyer, T. H. 2000. “Does the Aharonov–Bohm Effect Exist?” Foundations of Physics, 30(6): 893–905.
Bueno, O., & French., S. 2018. Applying Mathematics: Immersion, Inference, Interpretation. Oxford: Oxford University Press.
Butterfield, J. 2011. “Less Is Different: Emergence and Reduction Reconciled.” Foundations of Physics, 41(6): 1065–1135.
Cartwright, N. 1983. How the Laws of Physics Lie. New York: Clarendon.
Chalmers, D. J. 2006. “Strong and Weak Emergences.” In Clayton, P. & Davies, P. (eds.), The Re-emergence of Emergence: The Emergentist Hypothesis from Science to Religion (pp. 244–257). Oxford: Oxford University Press.
Chambers, R. G. 1960. “Shift of an Electron Interference Pattern by Enclosed Magnetic Flux.” Physical Review Letters, 5(1): 3–5.
Cheng, T.-P. 2013. Einstein’s Physics: Atoms, Quanta, and Relativity Derived, Explained, and Appraised. Oxford: Oxford University Press.
Colyvan, M. (2001). The indispensability of mathematics. New York: Oxford University Press.
Crease, R. P. 2002. “The Most Beautiful Experiment.” Physics World, 15(9): 19–20.
Darrigol, O. 2013. “For a Philosophy of Hydrodynamics.” In Batterman, R. (ed.), The Oxford Handbook of Philosophy of Physics (pp. 224–254). Oxford: Oxford University Press.
Davey, K. 2011. “Idealizations and Contextualism in Physics.” Philosophy of Science, 78: 16–38.
de Bianchi, S. 2016. “Which Explanatory Role for Mathematics in Scientific Models? Reply to ‘The Explanatory Dispensability of Idealizations.’” Synthese, 193: 387–401. https://doi.org/10.1007/s11229-015-0795-0. de Oliveira, C. R., & Pereira, M.. 2008. “Mathematical Justification of the Aharonov–Bohm Hamiltonian.” Journal of Statistical Physics, 133: 1175–1184.
de Oliveira, C. R., & Pereira, M.. 2010. “Scattering and Self-Adjoint Extensions of the Aharonov–Bohm Hamiltonian.” Journal of Physics A: Mathematical and Theoretical, 43: 1–29.
de Oliveira, C. R., & Pereira, M.. 2011. “Impenetrability of Aharonov–Bohm Solenoids: Proof of Norm Resolvent Convergence.” Letters in Mathematical Physics, 95: 41–51.
de Regt, H. W. 2017. Understanding Scientific Understanding. Oxford: Oxford University Press.
Diacu, F. 1996. “The Solution of the N-body Problem.” Mathematical Intelligencer, 18(3): 66–70.
Doyle, Y., Spencer, E., Noah, G., & Khalifa, K.. 2019. “Non-factive Understanding: A Statement and Defense.” Journal for General Philosophy of Science, 50: 345–365.
Earman, J. 2004. “Curie’s Principle and Spontaneous Symmetry Breaking.” International Studies in the Philosophy of Science, 18(2–3): 173–198.
Earman, J. 2019. “The Role of Idealization in the Aharonov–Bohm Effect.” Synthese, 196: 1991–2019.
Einstein, A. 1926/1956. Investigations on the Theory of Brownian Movement. Fürth, R. & Cowper, A. D. (eds.). Mineola, NY: Dover.
Elgin, C. 2017. “Exemplification in Understanding.” In Grimm, S. R., Baumberger, C., & Ammon, S. (eds.), Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science (pp. 76–92). New York: Routledge.
Elgin, M., & Sober., E. 2002. “Cartwright on Explanation and Idealization.” Erkentniss, 57: 441–450.
Elliott-Graves, A., & Weisberg., M. 2014. “Idealization.” Philosophy Compass 9(3): 176–185.
Ellis, B. 1992. “Idealization in Science.” In Dilworth, C. (ed.), Idealization IV: Intelligibility in Science (pp. 265–282). Amsterdam: Rodopi.
Ellis, G. F. 2020. “Emergence in Solid State Physics and Biology.” Foundations of Physics, 50(10): 1098–1139.
Fletcher, S., Palacios, P., Ruetsche, L., & Shech., E. 2019a. “Infinite Idealizations in Science: An Introduction.” Synthese, 196: 1657–1669.
Fletcher, S., Palacios, P., Ruetsche, L., & Shech., E. 2019b. Infinite Idealization in Science. Special issue of Synthese, 196(5).
French., S. 2020. There Are No Such Things As Theories. Oxford: Oxford University Press.
Frigg, R. 2008. “A Field Guide to Recent Work on the Foundations of Statistical Mechanics.” In Rickles, Dean (ed.), Ashgate Companion to Contemporary Philosophy of Physics (pp. 99–196). London: Ashgate.
Gelfert, A. 2016. How to Do Science with Models: A Philosophical Primer. Cham: Springer.
Georgi, H. 1993. “Effective Field Theory.” Annual Review of Nuclear and Particle Science, 43(1): 209–252.
Gillett, C. 2016. Reduction and Emergence in Science and Philosophy. Cambridge: Cambridge University Press.
Godfrey-Smith, P. 2009. “Abstractions, Idealizations and Evolutionary Biology.” In Mapping the Future of Biology. Boston Studies in the Philosophy of Science, Vol. 266 (pp. 47–56). Cham: Springer.
Goldstein, H., C. Poole, & Safko, J.. 2002. Classical Mechanics. Third Edition. Addison Wesley.
Gryb, S., Palacios, P., & Thébault., K. P. 2021. “On the Universality of Hawking Radiation.” British Journal for the Philosophy of Science, 72(3): 809–837.
Guggenheim, E. A. 1945. “The Principle of Corresponding States.” Journal of Chemical Physics, 13(7): 253–261.
Harte, J. (1988) Consider A Spherical Cow: A Course in Environmental Problem Solving. Sausalito, CA: University Science Books
Healey, R. 1997. “Nonlocality and the Aharonov–Bohm Effect.” Philosophy of Science, 64: 18–41.
Healey, R. 1999. “Quantum Analogies: A Reply to Maudlin.” Philosophy of Science, 66: 440–447.
Hempel, C. G., & Oppenheim., P. 1948 [1965]. “Studies in the Logic of Explanation.” Philosophy of Science, 15(2): 135–175. Reprinted in Hempel, C. G. 1965. Aspects of Scientific Explanation and Other Essays in the Philosophy of Science (pp. 245–290). New York: Free Press.
Hilpinen, R. 1976. “Approximate Truth and Truthlikeness.” In Przełecki, M., Szaniawski, K., Wójcicki, R., & Malinowski, G. (eds.), Formal Methods in the Methodology of Empirical Sciences (pp. 19–42). Dordrecht: Springer.
Homes, T. 2022. “Reckoning with Continuum Idealizations: Some Lessons from Soil Hydrology.” Philosophy of Science, 89: 319–336.
Huggett, N., & Weingard., R. 1995. “The Renormalization Group and Effective Field Theories.” Synthese, 102(1): 171–194.
Humphreys, P. 2004. Extending Ourselves: Computational Science, Empiricism, and Scientific Method. Oxford: Oxford University Press.
Hüttemann, A. 2002. “Idealizations in Physics.” In Ferrari, M. & Stamatescu, I.-O. (eds.), Symbolic and Physical Knowledge: On the Conceptual Structure of Physics (pp. 177–192). Berlin: Springer.
Jansson, L. Forthcoming. Explanation in Physics. Cambridge University Press.
Jacquart, M. Forthcoming. Models in Physics. Cambridge University Press.
Jones, M. R. 2005. “Idealization and Abstraction: A Framework.” In Jones, M. & Cartwright, N. (eds.), Idealizations XII: Correcting the Model. Idealizations and Abstraction in the Sciences (pp. 173–217). Amsterdam: Rodopi.
Jones, N. 2006. “Ineliminable Idealizations, Phase Transitions and Irreversibility.” PhD diss. Ohio State University.
Ladyman, J. 2008. “Idealization.” In Psillos, S. & Curd, M. (eds.), The Routledge Companion to Philosophy of Science (pp. 358–366). London: Routledge Taylor & Francis Group.
Ladyman, J. 2018. “Scientific Realism Again.” Spontaneous Generations: A Journal for the History and Philosophy of Science, 9(1): 99–107.
Ladyman, J., & Ross., D. 2007. Every Thing Must Go: Metaphysics Naturalised. Oxford: Oxford University Press.
Ladyman, J., & Wiesner, K.. 2020. What Is a Complex System? New Haven, CT: Yale University Press.
Landsman, N. P. 2016. “Quantization and Superselection Sectors III: Multiply Connected Spaces and Indistinguishable Particles.” Reviews in Mathematical Physics, 28: 1650019.
Le Bihan, S. 2017. “Enlightening Falsehoods: A Modal View of Scientific Understanding.” In Grimm, S. R., Baumberger, C., & Ammon, S. (eds.), Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science (pp. 111–136). New York: Routledge.
Leggett, A. J. 1992. “On the Nature of Research in Condensed-State Physics.” Foundations of Physics, 22(2): 221–233.
Leng, M. 2012. “Taking It Easy: A Response to Colyvan.” Mind, 121: 983–996.
Levins, R. 1966. “The Strategy of Model Building in Population Biology.” In Sober, E. (ed.), Conceptual Issues in Evolutionary Biology. First Edition (pp. 18–27). Cambridge, MA: MIT Press.
Levy, A. 2015. “Modeling without Models.” Philosophical Studies, 172(3): 781–798.
Levy, A. 2018. “Idealization and Abstraction: Refining the Distinction.” Synthese, 1–18.
Levy, A. 2020. “Metaphor and Scientific Explanation.” In Godfrey-Smith, P. & Levy, A. (eds.), The Scientific Imagination (pp. 280–303). Oxford: Oxford University Press.
Liu, C. 2004. “Laws and Models in a Theory of Idealization.” Synthese, 138: 363–385.
Liu, C. 2019. “Infinite Idealization and Contextual Realism.” Synthese, 196: 1885–1918.
Luu, T., & Meißner, U.-G.. 2019. “On the Topic of Emergence from an Effective Field Theory Perspective.” arXiv preprint arXiv:1910.13770.
Kadanoff, L. P. 2000. Statistical Physics: Statics, Dynamics and Renormalization. Singapore: World Scientific.
Kelp, C. 2015. “Understanding Phenomena.” Synthese, 192 (12): 3799–3816.
Khalifa, K. 2017. Understanding, Explanation, and Scientific Knowledge. Cambridge: Cambridge University Press.
Klitzing, K. V., Dorda, G., & Pepper., M. 1980. “New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance.” Physical Review Letters, 45: 494–497.
Magni, C., & Valz-Gris, F.. 1995. “Can Elementary Quantum Mechanics Explain the Aharonov–Bohm Effect?” Journal of Mathematical Physics, 36(1): 177–186.
Mäki, U. 1994. “Isolation, Idealization and Truth in Economics.” In Hamminga, B. & de Marchi, N. B. (eds.), Idealization VI: Idealization in Economics. Poznan Studies in the Philosophy of the Sciences and the Humanities, Vol. 38 (pp. 147–168). Amsterdam: Rodopi.
Maudlin, T. 1998. “Healey on the Aharonov–Bohm Effect.” Philosophy of Science, 65: 361–368.
Maynard Smith, J., & Price, G. R.. 1973. “The Logic of Animal Conflict.” Nature, 246: 15–18.
McMullin, E. 1985. “Galilean Idealization.” Studies in the History and Philosophy of Science, 16: 247–73.
Menon, T., & Callender, C.. 2013. “Turn and Face the Strange … Ch-ch-changes: Philosophical Questions Raised by Phase Transitions.” In Batterman, R. W. (ed.), The Oxford Handbook of Philosophy of Physics (pp. 189–223). Oxford: Oxford University Press.
Messiah, A. M. 1962. Quantum Mechanics. New York: Wiley.
Möllenstedt, G., & Bayh, W.. 1962. “Kontinuierliche Phasenschiebung von Elektronenwellen im kraftfeldfreien Raum durch das magnetische Vektorpotential eines Solenoids.” Zeitschrift für Physik, 169: 299–305.
Morrison, M. 2012. “Emergent Physics and Micro-ontology.” Philosophy of Science, 79: 141–166.
Morrison, M. 2015. Reconstructing Reality: Models, Mathematics, and Simulations. Oxford: Oxford University Press.
Musgrave, A. 1981. “‘Unreal Assumptions’ in Economic Theory: The F-Twist Untwisted.” Kyklos, 34: 377–387.
Musielak, Z. E., & Quarles., E. 2014. “The Three-Body Problem.” Reports on Progress in Physics, 77: 065901.
Newman, M. P. 2017. “Theoretical Understanding in Science.” British Journal for the Philosophy of Science, 68(2): 571–595.
Norton, J. D. 2008. “The Dome: An Unexpectedly Simple Failure of Determinism.” Philosophy of Science, 75: 786–798.
Norton, J. D. 2012. “Approximations and Idealizations: Why the Difference Matters.” Philosophy of Science, 79: 207–232.
Norton, J. D. 2016. “The Impossible Process: Thermodynamic Reversibility.” Studies in History and Philosophy of Science B, 55: 43–61.
Nowak, L. 2000. “The Idealizational Approach to Science: A New Survey.” In Nowakowa, I. & Nowak, L. (eds.), Idealization X: The Richness of Idealization (pp. 109–185). Amsterdam: Rodopi.
Olariu, S., & Popescu., I. 1985. “The Quantum Effects of Electromagnetic Fluxes.” Reviews of Modern Physics, 57(2): 339e449.
Palacios, P. 2019. “Phase Transitions: A Challenge for Intertheoretic Reduction?” Philosophy of Science, 86(4): 612–640.
Palacios, P. 2022. Emergence and Reduction in Physics. Cambridge: Cambridge University Press.
Palacios, P., & Valente, G.. 2021. “The Paradox of Infinite Limits: A Realist Response.” In Lyons, T. & Vickers, P. (eds.), Contemporary Scientific Realism (pp. 312–349). Oxford: Oxford University Press.
Pincock, C. 2012. Mathematics and Scientific Representation. Oxford: Oxford University Press.
Pincock, C. 2020. “Concrete Scale Models, Essential Idealization, and Causal Explanation.” British Journal for Philosophy of Science, 73(2): 1–20.
Portides, D. 2018. “Idealization and Abstraction in Scientific Modeling.” Synthese, 1–23.
Potochnik, A. 2017. Idealization and the Aim of Science. Chicago, IL: University of Chicago University Press.
Psillos, S. 2011. “Living with the Abstract: Realism and Models.” Synthese, 180: 3–17.
Putnam, H. 1971. Philosophy of Logic. New York: Harper.
Quine, W. V. O. 1981. Theories and Things. Cambridge, MA: Harvard University Press.
Reed, M., & Simon, B.. 1980. Methods of Modern Mathematical Physics (Vols. 1–4). San Diego: Academic Press.
Rice, C. 2021. Leveraging Distortions: Explanation, Idealizations, and Universality in Science. Cambridge, MA: MIT Press.
Ridderbos, T. M., & Redhead., M. L. G. 1998. “The Spin-Echo Experiments and the Second Law of Thermodynamics.” Foundations of Physics, 28: 1237–1270.
Rohwer, Y., & Rice., C. 2013. “Hypothetical Pattern Idealization and Explanatory Models.” Philosophy of Science, 80: 334–355.
Ruelle, D. 2004. Thermodynamic Formalism. Second Edition. Cambridge: Cambridge University Press.
Ruetsche, L. 2011. Interpreting Quantum Theories: The Art of the Possible. Oxford: Oxford University Press.
Saatsi, J. 2016. “Models, Idealisations, and Realism.” In Ippoliti, E., Sterpetti, F., & Nickles, T. (eds.), Models and Inferences in Science (pp. 173–189). Cham: Springer.
Schelling, T. 1978. Micromotives and Macrobehavior. New York: Norton.
Shaffer, M. J. 2012. Counterfactuals and Scientific Realism. Basingstoke: Palgrave MacMillan.
Shech, E. 2013. “What Is the ‘Paradox of Phase Transitions?’” Philosophy of Science, 80: 1170–1181.
Shech, E. 2015a. “Scientific Misrepresentation and Guides to Ontology: The Need for Representational Code and Contents.” Synthese, 192(11): 3463–3485.
Shech, E. 2015b. “Two Approaches to Fractional Statistics in the Quantum Hall Effect: Idealizations and the Curious Case of the Anyon.” Foundations of Physics, 45(9): 1063–1110.
Shech, E. 2016. “Fiction, Depiction, and the Complementarity Thesis in Art and Science.” The Monist, 99(3): 311–332.
Shech, E. 2018a. “Infinite Idealizations in Physics.” Philosophy Compass, 13(9): e12514.
Shech, E. 2018b. “Idealizations, Essential Self-Adjointness, and Minimal Model Explanation in the Aharonov-Bohm Effect.” Synthese, 195: 4839–4863.
Shech, E. 2019a. “Philosophical Issues Concerning Phase Transitions and Anyons: Emergence, Reduction, and Explanatory Fictions.” Erkenntnis 84(3): 585–615.
Shech, E. 2019b. “Infinitesimal Idealization, Easy Road Nominalism, and Fractional Quantum Statistics.” Synthese, 156(5): 1963–1990.
Shech, E. 2019c. “Historical Inductions Meet the Material Theory.” Philosophy of Science, 86(5): 918–929.
Shech, E., & Gelfert, A.. 2019.“The Exploratory Role of Models and Idealizations.” Studia Metodologiczne – Dissertationes Methodologicae. ISSN 0039-324X Issue on Culture(s) of Modelling in Science(s) (39).
Shech, E., & McGivern, P.. 2021. “Fundamentality, Scale, and the Fractional Quantum Hall Effect.” Erkenntnis, 86: 1411–1430.
Sklar, L. 2000. Theory and Truth: Philosophical Critique within Foundational Science. Oxford: Oxford University Press.
Stanley, H. E. 1971. Introduction to Phase Transitions and Critical Phenomena. New York: Oxford University Press.
Stern, A. 2008. “Anyons and the Quantum Hall Effect: A Pedagogical Review.” Annalen der Physik, 323: 204–249.
Stone, N. C., & Leigh., N. W. C. 2019. “A Statistical Solution to the Chaotic, Non-hierarchical Three-Body Problem.” Nature, 576(19/26): 406–410.
Strevens, M. 2008. Depth: An Account of Scientific Explanation. Cambridge, MA: Harvard University Press.
Strevens, M. 2013. “No Understanding without Explanation.” Studies in History and Philosophy of Science, 44: 510–515.
Strevens, M. 2017. “How Idealizations Provide Understanding.” In Grimm, S. R., Baumberger, C., & Ammon, S. (eds.), Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science (pp. 37–49). New York: Routledge.
Strocchi, F., & Wightman, A. S.. 1974. Proof of the Charge Superselection Rule in Local Relativistic Quantum Field Theory. Journal of Mathematical Physics, 15: 2189–2224.
Stuart, M. T. 2018. “How Thought Experiments Increase Understanding.” in Stuart, M. T., Fehige, Y. J. H., & Brown, J. R. (eds.), The Routledge Companion to Thought Experiments (pp. 526–544). London: Routledge.
Sullivan, E., & K. Khalifa., 2019. “Idealizations and Understanding: Much Ado about Nothing?” Australasian Journal of Philosophy, 97(4): 673–689.
Sundman, K. 1912. “Mèmoire sur le problème des trois corps.” Acta Mathematica, 36: 105–179.
Swoyer, C. 1991. “Structural Representation and Surrogative Reasoning.” Synthese, 87: 449–508.
Toon, A. 2012. Models As Make-Believe: Imagination, Fiction and Scientific Representation. Basingstoke: Palgrave Macmillan.
Tonomura, A. 1999. Electron Holography. Berlin: Springer.
Tonomura, A., Osakabe, N., Tsuyoshi, M. et al. 1986. “Evidence for Aharonov–Bohm Effect with Magnetic Field Completely Shielded from Electron Wave.” Physical Review Letter 56: 792–795.
Tsui, D. C., Stormer, H. L., & Gossard., A. C. 1982. “Two-Dimensional Magnetotransport in the Extreme Quantum Limit.” Physical Review Letters, 48(22): 1559–1562.
Valente, G. 2019. “On the Paradox of Reversible Processes in Thermodynamics.” Synthese, 196: 1761–1781.
Valtonen, M., & Karttunun., H. 2005. The Three-Body Problem. Cambridge: Cambridge University Press.
Wang, Q.-D. 1991. “The Global Solution of the n-Body Problem.” Celestial Mechanics and Dynamics Astronomy, 50: 73–88.
Weisberg, M. 2013. Simulation and Similarity: Using Models to Understand the World. Oxford: Oxford University Press.
Wilson, M. 2013. “What Is ‘Classical Mechanics’ Anyway?” In Batterman, Robert (ed.), The Oxford Handbook of Philosophy of Physics (pp. 224–254). Oxford: Oxford University Press.
Winsberg, E. 2010. Science in the Age of Computer Simulation. Chicago, IL: University of Chicago Press.
Woodward, J. 2003. Making Things Happen: A Theory of Causal Explanation. Oxford: Oxford University Press.
Wu, J. 2021. “Explaining Universality: Infinite Limit Systems in the Renormalization Group Method.” Synthese, 199: 14897–14930.