Abstract
In the previous chapter, I outlined the main thesis in this monograph, namely, that the Fourth Industrial Revolution is bringing about a new axial shift that will resurrect the legal personality of cities as sovereign polities. This in turn will see cities become the dominant body politic in the twenty-first century. The motivation for this thesis comes from a problematization of scale. This chapter unpacks this problem of scale through a discussion of the principle of scale invariance and its application to economics. The chapter uses cubism and surrealism to explain this principle and its origins.
All is relative; all is changing. That was the message that the world appeared to give to those who were alive around the turn of the [20th] century. The message accounts for the epistemological sensitivity in the modernist works of Proust, Joyce, Dada, the Surrealists, Knight, and Keynes. For if the world is changing, the question is how we can know it and represent it on paper or canvas. And that is an epistemological question … If this is true … we have a problem with the Cartesian connection of twentieth-century scholarship and art. How, for example, to account for the self-assuredness with which economists were wont to discuss a changing economy in terms of simple diagrams, axioms, and mathematical equations? … For clues I briefly refer to the story of modern(ist) art, not because art has necessarily influenced economists—for all I know, it has not—but because art displays visible signs of modernist values and beliefs.
—Arjo Klamer (‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 237)
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Notes
- 1.
Laurent Nottale, Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity (World Scientific, 1993). See also Laurent Nottale, Scale Relativity and Fractal Space-Time (London Imperial College Press, 2011).
- 2.
Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983) 360.
- 3.
Nottale, Fractal Space-Time and Microphysics.
- 4.
E F Schumacher, Small Is Beautiful: A Study of Economics as if People Mattered (Blond and Briggs, 1973).
- 5.
D Zajdenweber, ‘Scale Invariance in Economy and Finance’ in B Dubrulle, F Graner, and D Sornette (eds), Scale Invariance and Beyond (EDP Sciences and Springer, 1997) 185, 189.
- 6.
A Pocheau, ‘From Scale-Invariance to Scale Covariance in Out-of-Equilibrium Systems’ in B Dubrulle, F Graner, and D Scornette (eds), Scale Invariance and Beyond (Springer, 1997) 209, 209.
- 7.
Stanley, H E et al., ‘Scale Invariance and Universality: Organizing Principles in Complex Systems’ (2000) Physica A 60, 60–61.
- 8.
Cunningham, W, (1892), ‘The Relativity of Economic Doctrine’ (1892) 2(5) The Economic Journal 1, 2.
- 9.
Ibid., 12.
- 10.
Nina Byers,‘E Noether’s Discovery of the Deep Connection Between Symmetries and Conservation Laws’ (Proceedings of a Symposium on the Heritage of Emmy Noether, Bar-Ilan University, Israel, December 1996) https://arxiv.org/abs/physics/9807044.
- 11.
Arjo Klamer, ‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 241.
- 12.
See James Buchanan and Gordon Tullock, The Calculus of Consent: Logical Foundations of Constitutional Democracy (University of Michigan Press, 1962).
- 13.
Klamer, (1993) 25 (suppl 1) History of Political Economy 223, 223 and 243.
- 14.
Ragnar Frisch, Theory of Production (Holland D Reidel Publishing Company, 1965).
- 15.
R Casse, Projective Geometry: An Introduction (Oxford University Press, 2006).
- 16.
Karl Marx, Capital (Penguin, 1990).
- 17.
See, for example, G A Cohen, Karl Marx’s Theory of History (Princeton, 2001).
- 18.
I do not discuss contemporary movements such as Fauvism and Dadaism. While these movements had influences on cubism and surrealism, they subjectively destroyed reality to the point that parallels with economics are non sequitur.
- 19.
Finkelstein, Haim N, Surrealism and the Crisis of the Object (Michigan University Microfilms International, 1979) 11; Arjo Klamer, ‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 237.
- 20.
Willard Bohn, The Rise of Surrealism: Cubism, Dada, and the Pursuit of the Marvelous (State University of New York Press, 2002) 7.
- 21.
Ibid., 16.
- 22.
Ibid., 26.
- 23.
Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983) 345; cited in Bohn, The Rise of Surrealism: Cubism, Dada, and the Pursuit of the Marvelous (State University of New York Press, 2002) 27.
- 24.
Z Ali, ‘Implications of the Foucauldian Decentralization of Economics’ (2011) 5(1) The Journal of Philosophical Economics 148.
- 25.
Arjo Klamer, ‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 246.
- 26.
John Berger, The Moment of Cubism and Other Essays (Weidenfeld and Nicolson, 1969).
- 27.
P Laporte, ‘Cubism and Science’ (1949) 7(3) The Journal of Aesthetics and Art Criticism 243. See also P Laporte, ‘Cubism and Relativity with a Letter to Albert Einstein’ (1966) 25(3) Art Journal 246.
- 28.
J Golding, Cubism: A History and an Analysis (Faber and Faber Limited, 1968) 15.
- 29.
Berger, The Moment of Cubism and Other Essays, 20.
- 30.
Golding, Cubism, 17.
- 31.
Rubin, W, Picasso und Braque: Die Geburt des Kubismus (München Prestel-Verlag, 1990) 9.
- 32.
F Lee, ‘Heterodox Economics’, (2008) 7(1) The Long Term View 23; F Lee, ‘Heterodox Economics’ in Steven N Durlauf and Lawrence E Blume (eds), The New Palgrave Dictionary of Economics (Palgrave Macmillan, 2008); F Lee ‘The Pluralism Debate in Heterodox Economics’ (2011) 43(4) Review of Radical Political Economics 540.
- 33.
Milton Friedman, Essays in Positive Economics (University of Chicago Press 1953).
- 34.
Rick Szostak, Econ-Art: Divorcing Art from Science in Modern Economics (Pluto Press, 1999) 69.
- 35.
B Ladwig, Moderne Politische Theorie: Fünfzehn Vorlesungen zur Einführung (Wochenschaustudium, 2009) 31–32.
- 36.
Arthur I Miller, Einstein, Picasso: Space, Time, and the Beauty that Causes Havoc (Basic Books, 2002) 3. See also Arthur I Miller, ‘Einstein, Picasso’ (2004) 39(6) Physics Education 484.
- 37.
Ibid.
- 38.
Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983) 79.
- 39.
Arjo Klamer, ‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 240.
- 40.
Ibid.
- 41.
Arthur I Miller, Einstein, Picasso: Space, Time, and the Beauty that Causes Havoc (Basic Books, 2002).
- 42.
Tony Lawson, ‘The Nature of Heterodox Economics’ (2006) 30 Cambridge Journal of Economics 483.
- 43.
J Golding, Cubism: A History and an Analysis (Faber and Faber Limited, 1968) 16.
- 44.
P Laporte, ‘Cubism and Science’ (1949) 7(3) The Journal of Aesthetics and Art Criticism 243, 248.
- 45.
Ibid., 253.
- 46.
See B F Gussen, ‘On the Problem of Scale: Hayek, Kohr, Jacobs and the Reinvention of The Political State’ (2013) 24(1) Constitutional Political Economy 19.
- 47.
W Bannard, ‘Cubism, Abstract Expressions and David Smith’ (1998) 6 Artforum 22, 22.
- 48.
Ibid.
- 49.
P Laporte, (1949) 7(3) The Journal of Aesthetics and Art Criticism 243, 246.
- 50.
Ibid., 255.
- 51.
John Berger, The Moment of Cubism and Other Essays (Weidenfeld and Nicolson, 1969) 24–25.
- 52.
Tony Lawson, ‘The Nature of Heterodox Economics’ (2006) 30 Cambridge Journal of Economics 483, 495–96.
- 53.
Rick Szostak, Econ-Art: Divorcing Art from Science in Modern Economics (Pluto Press, 1999) 51.
- 54.
John Berger, The Moment of Cubism and Other Essays (Weidenfeld and Nicolson, 1969) 23.
- 55.
Ibid.
- 56.
P Laporte, ‘Cubism and Science’ (1949) 7(3) The Journal of Aesthetics and Art Criticism 243, 245.
- 57.
D Cooper, Cubism and the Cubist Epoch (Phaidon, 1971) 22.
- 58.
Ibid., 30.
- 59.
Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983).
- 60.
J Canaday, Mainstreams of Modern Art (Holt, Rinehart and Winston, 1959).
- 61.
D Cooper, Cubism and the Cubist Epoch (Phaidon, 1971) 28, 49.
- 62.
W Rubin, Picasso und Braque: Die geburt des Kubismus (München Prestel-Verlag, 1990) 9.
- 63.
John Berger, The Moment of Cubism and Other Essays (Weidenfeld and Nicolson, 1969) 21–22.
- 64.
P Laporte, ‘Cubism and science’ (1949) 7(3) The Journal of Aesthetics and Art Criticism 243, 255.
- 65.
Henderson Linda Dalrymple, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983).
- 66.
John Berger, The Moment of Cubism and Other Essays (Weidenfeld and Nicolson, 1969) 23.
- 67.
Ibid.
- 68.
P Laporte, ‘Cubism and science’ (1949) 7(3) The Journal of Aesthetics and Art Criticism 243, 249.
- 69.
John B Davis, ‘Heterodox economics, the Fragmentation of the Mainstream, and Embedded Individual Analysis’ in John T Harvey and Robert F Garnett Jr. (eds), Future Directions for Heterodox Economics (University of Michigan Press, 2008) 53.
- 70.
Ibid., 57–58.
- 71.
Jean-Michel Grandmont, ‘On Endogenous Competitive Business Cycles’ (1985) 53(5) Econometrica 995.
- 72.
Jason Potts, The New Evolutionary Microeconomics: Complexity, Competence and Adaptive Behavior (Edward Elgar, 2000).
- 73.
Yaneer Bar-Yam, Dynamics of Complex Systems (Westview Press, 1997) 5.
- 74.
Haim N Finkelstein, Surrealism and the Crisis of the Object (Michigan University Microfilms International, 1979) 1.
- 75.
Charles E Gauss, ‘The Theoretical Backgrounds of Surrealism’ (1943) 2(8) The Journal of Aesthetics and Art Criticism 37, 38 and 44.
- 76.
Rick Szostak, Econ-Art: Divorcing Art from Science in Modern Economics (Pluto Press, 1999) 26.
- 77.
Ibid., 48.
- 78.
Gavin Parkinson, Surrealism, Art and Modern Science (Yale University Press, 2008).
- 79.
Willard Bohn, The Rise of Surrealism: Cubism, Dada, and the Pursuit of the Marvelous (State University of New York Press, 2002) 145.
- 80.
André Breton, ‘Manifeste du Surréalisme’ in Marguerite Bonnet et al. (ed), Oeuvres Complètes (Gallimard Pléiade, 1988) 24–25, 321.
- 81.
Szostak, Econ-Art, 50.
- 82.
Ibid., 28–29.
- 83.
Ibid., 47.
- 84.
Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Princeton University Press, 1983) 341.
- 85.
Friedrich Wilhelm Nietzsche, The Birth of Tragedy (Ronald Speirs trans, Montana Kessinger Publishing, 2004) 10.
- 86.
Donald S Borrett, David Shih and Michael Tomko, ‘Hegelian Phenomenology and Robotics’ (2011) 3(1) International Journal of Machine Consciousness 219, 224.
- 87.
Ibid., 221.
- 88.
C Taylor, Hegel (Cambridge University Press, 1975) 129. Cited in Borrett, (2011) 3(1) International Journal of Machine Consciousness 219, 226.
- 89.
Borrett, (2011) 3(1) International Journal of Machine Consciousness 219, 226.
- 90.
Ibid., 232.
- 91.
M E J Newman, ‘Power Laws, Pareto Distributions and Zipf’s Law’ (2005) 46(5) Contemporary Physics 323.
- 92.
R Axtell, ‘Zipf Distribution of US Firm Size’ (2001) 293 (5536) Science 1818.
- 93.
E F Fama, ‘The Behavior of Stock-Market Prices’ (1965) 38(1) The Journal of Business 34.
- 94.
William J Reed, (2001), ‘The Pareto, Zipf and Other Power Laws’ (2001) 74(1) Economics Letters 15.
- 95.
B Mandelbrot, Fractals: Form, Chance, and Dimensions (W H Freeman & Co, 1977).
- 96.
J Doyne Farmer and John Geanakoplos, Beyond Equilibrium and Efficiency (Oxford University Press, 2002).
- 97.
Arjo Klamer, ‘Modernism in Economics: An Interpretation Beyond Physics’ (1993) 25 (suppl 1) History of Political Economy 223, 244.
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Gussen, B. (2019). Economic Cubism, Economic Surrealism, and Scale Relativity. In: Axial Shift. Palgrave Macmillan, Singapore. https://doi.org/10.1007/978-981-13-6950-6_2
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