A. Wayne Wymore quote: “[The process of system design is]… consisting of the development of a sequence of mathematical models of systems, each …”

“A more viable model, one much more faithful to the kind of system that society is more and more recognized to be, is in process of developing out of, or is in keeping with, the modern systems perspective (which we use loosely here to refer to general systems research, cybernetics, information and communication theory, and related fields). Society, or the sociocultural system, is not, then, principally an equilibrium system or a homeostatic system, but what we shall simply refer to as a complex adaptive system.”

Walter F. Buckley (1922–2006) American sociologist

Source: Society as a complex adaptive system (1968), p. 490.

“Object-oriented design is a method of design encompassing the process of object-oriented decomposition and a notation for depicting both logical and physical as well as static and dynamic models of the system under design.”

Grady Booch (1955) American software engineer

Source: Object-oriented design: With Applications, (1991), p. 37

“Creating a modeling language that is also an executable language has long been a goal of the software community. Many years ago, in 1968 to be exact, while working with software components to successfully develop a telecommunications system, we created a modeling language that was the forerunner to UML. To model components we used sequence diagrams, collaboration diagrams, and state transition diagrams (a combination of state charts and activity diagrams). Our modeling language then seamlessly translated the component models into code. Each code component was in its turn compiled into an executable component that was deployed in our computer system. The computer system was a component management system—thus we had "components all the way down."”

Stephen J. Mellor (1952) British computer scientist

Source: Executable Uml: A Foundation for Model-Driven Architecture, 2002, p. xxiii: Foreword.

“Enterprise architecture (EA) promotes the belief that an enterprise, as a complex system, can be designed or improved in an orderly fashion achieving better overall results than ad-hoc organisation and design. EA is a co-operative effort of designers, analysts and managers and uses enterprise models in the process… enterprise models carry meaning. This resulted in requirements for the enterprise engineering process, which—if not met—can limit the viability of the process. The analysis of the same factors resulted in requirements for improved Enterprise Modelling Tools.”

Peter Bernus (1949) Hungarian-Australian computer scientist

Peter Bernus (2003) "Enterprise models for enterprise architecture and ISO9000: 2000." Annual Reviews in Control 27.2 : 211-220.

“The Unified Modeling Language (UML) is a general-purpose visual modeling language that is used to specify, visualize, construct, and document the artifacts of a software system. It captures decisions and understanding about systems that must be constructed. It is used to understand, design, browse, conﬁgure, maintain, and control information about such systems. It is intended for use with all development methods, lifecycle stages, application domains, and media. The modeling language is intended to unify past experience about modeling techniques and to incorporate current software best practices into a standard approach. UML includes semantic concepts, notation, and guidelines. It has static, dynamic, environmental, and organizational parts. It is intended to be supported by interactive visual modeling tools that have code generators and report writers. The UML speciﬁcation does not deﬁne a standard process but is intended to be useful with an iterative development process. It is intended to support most existing object-oriented development processes.”

James Rumbaugh (1947) Computer scientist, software engineer

James Rumbaugh, Ivar Jacobson & Grady Booch (1998) The Unified Modeling Language Reference Manual. p. 1

“The Uniﬁed Modeling Language (UML) is a general-purpose visual modeling language that is used to specify, visualize, construct, and document the artifacts of a software system. It captures decisions and understanding about systems that must be constructed. It is used to understand, design, browse, conﬁgure, maintain, and control information about such systems. It is intended for use with all development methods, lifecycle stages, application domains, and media. The modeling language is intended to unify past experience about modeling techniques and to incorporate current software best practices into a standard approach. UML includes semantic concepts, notation, and guidelines. It has static, dynamic, environmental, and organizational parts. It is intended to be supported by interactive visual modeling tools that have code generators and report writers. The UML speciﬁcation does not deﬁne a standard process but is intended to be useful with an iterative development process. It is intended to support most existing object-oriented development processes.”

Grady Booch (1955) American software engineer

James Rumbaugh, Ivar Jacobson, & Booch (1999) The Unified Modeling Language Reference Manual. p. 1

“The Uniﬁed Modeling Language (UML) is a general-purpose visual modeling language that is used to specify, visualize, construct, and document the artifacts of a software system. It captures decisions and understanding about systems that must be constructed. It is used to understand, design, browse, conﬁgure, maintain, and control information about such systems. It is intended for use with all development methods, lifecycle stages, application domains, and media. The modeling language is intended to unify past experience about modeling techniques and to incorporate current software best practices into a standard approach. UML includes semantic concepts, notation, and guidelines. It has static, dynamic, environmental, and organizational parts. It is intended to be supported by interactive visual modeling tools that have code generators and report writers. The UML speciﬁcation does not deﬁne a standard process but is intended to be useful with an iterative development process. It is intended to support most existing object-oriented development processes.”

Ivar Jacobson (1939) Swedish computer scientist

James Rumbaugh, Ivar Jacobson, & Grady Booch (1999) The Unified Modeling Language Reference Manual. p. 1.

“Our first objective in undertaking the experimental program described here has been to gain some understanding of what goes on in long sequences of plays of Prisoner's Dilemma. We have attempted to gain this understanding by postulating a system going through a sequence of states and by attempting to formulate some mathematical models from which the dynamics of the system could be deduced. Once such a model is found, its parameters, properly interpreted, become the key terms in the emerging psychological theory. This strategy can be deemed successful, if the parameters so discovered are independent of the process itself, if they suggest further investigation, and if the further investigations, in turn, lead to a more inclusive theory.”

Anatol Rapoport (1911–2007) Russian-born American mathematical psychologist

Source: 1960s, Prisoner's dilemma: A study in conflict and cooperation (1965), p. 185

“Pure mathematics is a collection of hypothetical, deductive theories, each consisting of a definite system of primitive, undefined, concepts or symbols and primitive, unproved, but self-consistent assumptions (commonly called axioms) together with their logically deducible consequences following by rigidly deductive processes without appeal to intuition.”

Joshua Girling Fitch (1824–1903) British educationalist

The Fourth Dimension simply Explained. (New York, 1910), p. 58. Reported in Moritz (1914); Also cited in: Howard Eves (2012), Foundations and Fundamental Concepts of Mathematics, p. 167

“Models are used essentially for evaluation and prediction purposes as well as for the analysis and study of the different parts of the system so that the systems engineer or designer may arrive at sound engineering decisions regarding the system design.”

Harold Chestnut (1917–2001) American engineer

Source: Systems Engineering Tools, (1965), p. 113; As cited in: Alberto Ortiz (1992, p. 12-13)

“[The process of system design is]… consisting of the development of a sequence of mathematical models of systems, each one more detailed than the last.”

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