Capitalising on incommensurability

By Darryn Reid

Darryn Reid (biography)

How can we harness incommensurability as a pivotal enabler of cross-disciplinary collaboration?

Effective cross-disciplinary research across multiple traditional disparate fields of study hinges on logical incommensurability, which occurs because, in general, those ideas will have been constructed using incompatible frameworks to solve distinct problem formulations within dissimilar intellectual traditions.

In other words, the internal logical consistency of a discipline’s way of approaching problems is no guarantee of ability to be integrated with another discipline’s way of approaching problems. Incommensurability should come as no surprise to anyone involved in cross-disciplinary activities. What is pivotal here, however, is the view that incommensurability is not an obstacle to be avoided or feared but an enabler.

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Integration: The IPO model

By Stephen Crowley and Graham Hubbs

1. Stephen Crowley (biography)
2. Graham Hubbs (biography)

How can we improve our understanding of knowledge integration? What are the elements of integration?

Sometimes what gets integrated are products of science, such as data sets or scientific models. Sometimes it is not the products that are integrated but instead the methods, as can happen on interdisciplinary teams. On these teams, scientists work together, so sometimes it is the people themselves (scientists are people!) or their disciplinary cultures that get integrated.

These are only some of the possible elements of integration. There is just as wide a variety of processes and products of integration as there are elements. The process of integrating data sets might be a sort of analysis, and the result might be a table or graph that displays the results of research in a conspicuous manner. Integrating diverse scientists into an interdisciplinary team, by contrast, is a matter of people working together, and the result of the integration is not a table or a graph but the team itself.

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Incommensurability, plain difference and communication in interdisciplinary research

By Vincenzo Politi

Vincenzo Politi (biography)

Where does the term incommensurability come from? What is its relevance to interdisciplinarity? Is it more than plain difference? Does incommensurability need to be reconceptualized for interdisciplinarity?

Incommensurability: its origins and relevance to interdisciplinarity

‘Incommensurability’ is a term that philosophers of science have borrowed from mathematics. Two mathematical magnitudes are said to be incommensurable if their ratio cannot be expressed by a number which is an integer. For example, the radius and the circumference of a circle are incommensurable because their ratio is expressed by the irrational number π.

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Interdisciplinarity and evil – Understanding incommensurability

By J. Britt Holbrook

J. Britt Holbrook (biography)

Incommensurability is a recognized problem in interdisciplinary research. What is it? How can we understand it? And what can we do about it?

What is it?

Incommensurability is best illustrated by a real example. I once co-taught a class with a colleague from another discipline. Her discipline depends on empirical analysis of data sets, literally on counting things. I, on the other hand, am a philosopher. We don’t count. One day she said to our students, “If you don’t have an empirical element in what you’re doing, it’s not research.” I watched the students start nodding, paused for half a beat, and volunteered, “So, I’ve never done any research in my entire career.” “That’s right!” she replied, immediately, yet hesitating somewhere between a discovery and a joke.

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Two types of interdisciplinary scholarship

By Andi Hess

Andi Hess (biography)

Would it be helpful to identify two distinct forms of interdisciplinary scholarship ― 1) individual interdisciplinarity and 2) interdisciplinary dialogue and team science ― and to make this distinction explicit in the literature? What are the benefits and challenges of each? Are a different set of resources and methods required to achieve effective interdisciplinary scholarship?

As integration scientists are aware, there are many analyses of appropriate methods for conducting interdisciplinary work. Each has its own benefits and challenges, and each requires a different set of resources and methods for achieving effective interdisciplinary scholarship.

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