Skip to main content

2016 | OriginalPaper | Buchkapitel

Analyzing Complex Organizational Arguments with Logical Model Building

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This chapter demonstrates the application of a qualitative formal method, logical formalization, to organization and management theory. Organizational arguments are usually phrased out in some natural language in the first place. After separating the premises (facts, definitions) of a natural language argument from its conclusions (predictions), this preprocessed text is translated into a logical language. Then, experimentation can begin if the logical formulae standing for the verbal premises imply the putative conclusions as formal theorems. If not, what kind of modifications can make these outcomes follow? What other theorems are implied from the same argument core? A substantial advantage of using symbolic logic over many branches of applied mathematics is that logical models can quite closely map the intended meaning of assertive sentences, while the deduction of conclusions can proceed with the rigor of mathematical proofs. The examples highlight how different logical languages, different dialects, can be used to the idiosyncrasies of the subject. The proof and the translation process from natural language statements to logical models are supported by user-friendly theorem-prover softwares. The appliers of the method need not be logic experts; what they need are analytical skills, sharp eyes at formula evaluation, and some stamina. The promise of using symbolic logic is combining the flexibility of qualitative reasoning with exactness in drawing conclusions from complex arguments. The chapter is to show how and in which extent logical formalization can fulfill this promise.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
This statement has been first stated as a Murphy law. Interestingly, some Murphy laws concerning science have substantial epistemic relevance. The scientific process is oftentimes well facilitated by this naming rule, think of the development of the atom concept since the Greeks. Using variables for the unknown in equations also follows this name-giving heuristics.
 
2
The practice of formalization in NML revealed the occasional need for ad hoc simplifying assumptions to derive certain conclusions. These auxiliary assumptions have oftentimes nothing to do with the ‘normal’ state of affairs and so they are no parts of the theory under investigation. Their role is rather to “link the causal stories and meta-considerations, on the one side, and desired theorems, on the other side” (Hannan et al., 2007, p. 129). To discriminate these assumptions from the rule-like premises with a normally quantifier, the authors introduced an assumedly quantifier. The role of assumedly is in some aspects similar to (though certainly not the same as) the ceteris paribus clauses in arguments that freeze the impact of certain variables, so that the effect of interest can make its influence free from interferences of other effects. For example, Hannan et al. (2007) apply the auxiliary assumption that units within an organization initiate architectural change with the same probability (p. 247), a condition that certainly does not occur normally. But besides their technical usefulness, auxiliary assumptions raise non-trivial theoretical problems. For example, if a theorem is derived relying on auxiliary premises acknowledged to be possibly non-realistic, then why would its statement deserve the presumably status? I delegate the detailed analysis of such issues to later research.
 
Literatur
Zurück zum Zitat Barnett, W. P. (2008). The red queen among organizations: How competitiveness evolves. Princeton, NJ: Princeton University Press.CrossRef Barnett, W. P. (2008). The red queen among organizations: How competitiveness evolves. Princeton, NJ: Princeton University Press.CrossRef
Zurück zum Zitat Blackburn, P., de Rijke, M., & Venema, Y. (2001). Modal logic. Cambridge: Cambridge University Press.CrossRef Blackburn, P., de Rijke, M., & Venema, Y. (2001). Modal logic. Cambridge: Cambridge University Press.CrossRef
Zurück zum Zitat Bruggeman, J. P., Grunow, D., Leenders, M. A. A., Vermeulen, I., & Kuilman, J. G. (2012). Market positioning: The shifting effects of niche overlap. Industrial and Corporate Change, 21(6), 1451–1477.CrossRef Bruggeman, J. P., Grunow, D., Leenders, M. A. A., Vermeulen, I., & Kuilman, J. G. (2012). Market positioning: The shifting effects of niche overlap. Industrial and Corporate Change, 21(6), 1451–1477.CrossRef
Zurück zum Zitat Bruggeman, J. P., & Vermeulen, I. (2002). A logical toolkit for theory (re)construction. Sociological Methodology, 32(1), 183–217.CrossRef Bruggeman, J. P., & Vermeulen, I. (2002). A logical toolkit for theory (re)construction. Sociological Methodology, 32(1), 183–217.CrossRef
Zurück zum Zitat da Costa, N. C. A., Krause, D., & Bueno, O. (2007). Paraconsistent logics and paraconsistency. In D. Jacquette (Ed.), Philosophy of logic (pp. 791–912). Amsterdam: North-Holland.CrossRef da Costa, N. C. A., Krause, D., & Bueno, O. (2007). Paraconsistent logics and paraconsistency. In D. Jacquette (Ed.), Philosophy of logic (pp. 791–912). Amsterdam: North-Holland.CrossRef
Zurück zum Zitat Gamut, L. T. F. (1991). Logic, language and meaning. Chicago: University of Chicago Press. Gamut, L. T. F. (1991). Logic, language and meaning. Chicago: University of Chicago Press.
Zurück zum Zitat García-Díaz, C. E., & van Witteloostuijn, A. (2011). Firm entry diversity, resource space heterogeneity and market structure. In S. Osinga, G.-J. Hofstede, & T. Verwaart (Eds.), Emergent results of artificial economics (Lecture notes in economics and mathematical systems, Vol. 652, pp. 153–164). Berlin: Springer.CrossRef García-Díaz, C. E., & van Witteloostuijn, A. (2011). Firm entry diversity, resource space heterogeneity and market structure. In S. Osinga, G.-J. Hofstede, & T. Verwaart (Eds.), Emergent results of artificial economics (Lecture notes in economics and mathematical systems, Vol. 652, pp. 153–164). Berlin: Springer.CrossRef
Zurück zum Zitat Gomez, T., & Bosman, S. (2014). The effect of income inequality on economic growth: A logical formalization. Unpublished manuscript. School of Economics, Utrecht University, Utrecht, The Netherlands. Gomez, T., & Bosman, S. (2014). The effect of income inequality on economic growth: A logical formalization. Unpublished manuscript. School of Economics, Utrecht University, Utrecht, The Netherlands.
Zurück zum Zitat Hannan, M. T., & Freeman, J. (1984). Structural inertia and organizational change. American Sociological Review, 49(2), 149–164.CrossRef Hannan, M. T., & Freeman, J. (1984). Structural inertia and organizational change. American Sociological Review, 49(2), 149–164.CrossRef
Zurück zum Zitat Hannan, M. T., & Freeman, J. (1989). Organizational ecology. Cambridge, MA: Harvard University Press. Hannan, M. T., & Freeman, J. (1989). Organizational ecology. Cambridge, MA: Harvard University Press.
Zurück zum Zitat Hannan, M. T., Pólos, L., & Carroll, G. R. (2007). Logics of organization theory: Audiences, codes, and ecologies. Princeton, NJ: Princeton University Press. Hannan, M. T., Pólos, L., & Carroll, G. R. (2007). Logics of organization theory: Audiences, codes, and ecologies. Princeton, NJ: Princeton University Press.
Zurück zum Zitat Hsu, G., Hannan, M. T., & Pólos, L. (2011). Typecasting, legitimation, and form emergence: A formal theory. Sociological Theory, 29(2), 97–123.CrossRef Hsu, G., Hannan, M. T., & Pólos, L. (2011). Typecasting, legitimation, and form emergence: A formal theory. Sociological Theory, 29(2), 97–123.CrossRef
Zurück zum Zitat Kamps, J., & Masuch, M. (1997). Partial deductive closure: Logical simulation and management science. Management Science, 43(9), 1229–1245.CrossRef Kamps, J., & Masuch, M. (1997). Partial deductive closure: Logical simulation and management science. Management Science, 43(9), 1229–1245.CrossRef
Zurück zum Zitat Kamps, J., & Pólos, L. (1999). Reducing uncertainty: A formal theory of Organizations in Action. American Journal of Sociology, 104(6), 1774–1810.CrossRef Kamps, J., & Pólos, L. (1999). Reducing uncertainty: A formal theory of Organizations in Action. American Journal of Sociology, 104(6), 1774–1810.CrossRef
Zurück zum Zitat Kuilman, J. G., Vermeulen, I., & Li, J. T. (2009). The consequents of organizer ecologies: A logical formalization. Academy of Management Review, 34(2), 253–272.CrossRef Kuilman, J. G., Vermeulen, I., & Li, J. T. (2009). The consequents of organizer ecologies: A logical formalization. Academy of Management Review, 34(2), 253–272.CrossRef
Zurück zum Zitat Kuipers, B. (2001). Qualitative simulation. In R. Meyers (Ed.), Encyclopedia of physical science and technology (3rd ed., pp. 287–300). New York: Academic Press. Kuipers, B. (2001). Qualitative simulation. In R. Meyers (Ed.), Encyclopedia of physical science and technology (3rd ed., pp. 287–300). New York: Academic Press.
Zurück zum Zitat Lakatos, I. (1976). Proofs and refutations: The logic of mathematical discovery. Cambridge: Cambridge University Press.CrossRef Lakatos, I. (1976). Proofs and refutations: The logic of mathematical discovery. Cambridge: Cambridge University Press.CrossRef
Zurück zum Zitat Le Mens, G., Hannan, M. T., & Pólos, L. (2011). Founding conditions, learning and organizational life chances: Age dependence revisited. Administrative Science Quarterly, 56(1), 95–126.CrossRef Le Mens, G., Hannan, M. T., & Pólos, L. (2011). Founding conditions, learning and organizational life chances: Age dependence revisited. Administrative Science Quarterly, 56(1), 95–126.CrossRef
Zurück zum Zitat Le Mens, G., Hannan, M. T., & Pólos, L. (2015a). Organizational obsolescence, drifting tastes, and age-dependence in organizational life chances. Organization Science, 26(2), 550–570.CrossRef Le Mens, G., Hannan, M. T., & Pólos, L. (2015a). Organizational obsolescence, drifting tastes, and age-dependence in organizational life chances. Organization Science, 26(2), 550–570.CrossRef
Zurück zum Zitat Le Mens, G., Hannan, M. T., & Pólos, L. (2015b). Age-related structural inertia: A distance-based approach. Organization Science, 26(3), 756–773.CrossRef Le Mens, G., Hannan, M. T., & Pólos, L. (2015b). Age-related structural inertia: A distance-based approach. Organization Science, 26(3), 756–773.CrossRef
Zurück zum Zitat Péli, G. (2009). Fit by founding, fit by adjustment: Reconciling conflicting organization theories with logical formalization. Academy of Management Review, 34(2), 343–360.CrossRef Péli, G. (2009). Fit by founding, fit by adjustment: Reconciling conflicting organization theories with logical formalization. Academy of Management Review, 34(2), 343–360.CrossRef
Zurück zum Zitat Péli, G., & Bruggeman, J. P. (2007). The cricket and the ant: Organizational trade-offs in changing environments. Journal of Mathematical Sociology, 31(3), 205–235.CrossRef Péli, G., & Bruggeman, J. P. (2007). The cricket and the ant: Organizational trade-offs in changing environments. Journal of Mathematical Sociology, 31(3), 205–235.CrossRef
Zurück zum Zitat Péli, G., Bruggeman, J. P., Masuch, M., & Ó Nualláin, B. (1994). A logical approach to formalizing organization ecology. American Sociological Review, 59(4), 571–593.CrossRef Péli, G., Bruggeman, J. P., Masuch, M., & Ó Nualláin, B. (1994). A logical approach to formalizing organization ecology. American Sociological Review, 59(4), 571–593.CrossRef
Zurück zum Zitat Péli, G., & Masuch, M. (1997). The logic of propagation strategies: Axiomatizing a fragment of organizational ecology in first-order logic. Organization Science, 8(3), 310–331.CrossRef Péli, G., & Masuch, M. (1997). The logic of propagation strategies: Axiomatizing a fragment of organizational ecology in first-order logic. Organization Science, 8(3), 310–331.CrossRef
Zurück zum Zitat Péli, G., & Schenk, H. (2015). Organizational decision-maker bias supports merger wave formation: Demonstration with logical formalization. Quality and Quantity. Advance online publication. doi:10.1007/s11135-014-0122-8 Péli, G., & Schenk, H. (2015). Organizational decision-maker bias supports merger wave formation: Demonstration with logical formalization. Quality and Quantity. Advance online publication. doi:10.​1007/​s11135-014-0122-8
Zurück zum Zitat Pólos, L., & Hannan, M. T. (2004). A logic for theories in flux: A model theoretic approach. Logique et Analyse, 47(185–188), 85–121. Pólos, L., & Hannan, M. T. (2004). A logic for theories in flux: A model theoretic approach. Logique et Analyse, 47(185–188), 85–121.
Zurück zum Zitat Pólos, L., Hannan, M. T., & Hsu, G. (2010). Modalities in sociological arguments. Journal of Mathematical Sociology, 34(3), 201–238.CrossRef Pólos, L., Hannan, M. T., & Hsu, G. (2010). Modalities in sociological arguments. Journal of Mathematical Sociology, 34(3), 201–238.CrossRef
Zurück zum Zitat Schenk, H. (2005). Organisational economics in an age of restructuring, or: How corporate strategies can harm your economy. In P. De Gijsel & H. Schenk (Eds.), Multidisciplinary economics (pp. 333–365). New York: Springer.CrossRef Schenk, H. (2005). Organisational economics in an age of restructuring, or: How corporate strategies can harm your economy. In P. De Gijsel & H. Schenk (Eds.), Multidisciplinary economics (pp. 333–365). New York: Springer.CrossRef
Zurück zum Zitat Simon, H. A. (1969). The sciences of the artificial. Cambridge, MA: MIT Press. Simon, H. A. (1969). The sciences of the artificial. Cambridge, MA: MIT Press.
Zurück zum Zitat Thompson, J. D. (1967). Organizations in action: Social science bases of administrative theory. New York: McGraw-Hill. Thompson, J. D. (1967). Organizations in action: Social science bases of administrative theory. New York: McGraw-Hill.
Zurück zum Zitat Veltman, F. (1996). Defaults in update semantics. Journal of Philosophical Logic, 25(3), 221–261.CrossRef Veltman, F. (1996). Defaults in update semantics. Journal of Philosophical Logic, 25(3), 221–261.CrossRef
Metadaten
Titel
Analyzing Complex Organizational Arguments with Logical Model Building
verfasst von
Gábor Péli
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-27108-8_7

Premium Partner