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Article
Publication date: 15 November 2017

Louis H. Kauffman

This paper aims to introduce the concept and praxis for eigenform in the context of second-order cybernetics.

71

Abstract

Purpose

This paper aims to introduce the concept and praxis for eigenform in the context of second-order cybernetics.

Design/methodology/approach

The paper is designed as a formal (partly mathematical) introduction with excursions into the applications and meanings of these constructions. Mathematics studies what a distinction would be if there could be a distinction. Mathematics is a special form of fictional design. This study raises the question of “What it would mean to go beyond mathematics or for mathematics to go beyond itself?”.

Findings

This study shows how objects in the author’s experience can be seen to be eigenforms and that in this context such objects are a construct of their interactions, linguistic and otherwise experiential. In this way, the author can investigate scientifically without the need for an assumption of objectivity. The author cocreates the universe through the discovery of distinctions and eigenforms in their dialogue with what can be.

Research limitations/implications

The implications of this research are profound for the performance and exploration of science. The author can explore their role in that creation and find that what they create is independent of significant subsets of their actions.

Practical implications

The practical implications of this study are strongest for the logical understanding of the author’s constructions and actions. They have used eigenform and reflexivity to maintain a clear view of their participation in their own worlds.

Social implications

The social implications are in accordance with the practical implications. The author can now admit that they each produce eigenform models of the others and for themselves. These models have in-depth usage, in that it is understood that one is not identical with their models.

Originality/value

This paper presents a highly original and very simple way to incorporate second-order cybernetics into all thought and action.

Details

Kybernetes, vol. 46 no. 9
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 January 2005

Louis H. Kauffman

Discusses the notion of eigenform as explicated by Heinz von Foerster wherein an object is seen to be a token for those behaviors that lend the object its apparent stability in a…

683

Abstract

Purpose

Discusses the notion of eigenform as explicated by Heinz von Foerster wherein an object is seen to be a token for those behaviors that lend the object its apparent stability in a changing world.

Design/methodology/approach

Describes von Foerster's model for eigenforms and recursions and puts this model in the context of mathematical recursions, fractals, set theory, logic, quantum mechanics, the lambda calculus of Church and Curry, and the categorical framework of fixed points of Lawvere.

Findings

Determines that iterating a transformation upon itself is seen to be a key to understanding the nature of objects and the relationship of an observer and the apparent world of the observer.

Originality/value

Contemplates the concept of recursion in the context of second‐order cybernetics.

Details

Kybernetes, vol. 34 no. 1/2
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 July 2001

Louis H. Kauffman

Discusses the relationship between computer proof and human proof. These issues are discussed both in general and specifically regarding the recent solution of the Robbins problem…

474

Abstract

Discusses the relationship between computer proof and human proof. These issues are discussed both in general and specifically regarding the recent solution of the Robbins problem via a proof generated by computer. The Robbins problem was a long‐standing open problem about axioms for Boolean algebra. One point of this paper is to show that the proof of the Robbins conjecture, generated by a computer, can be filled in and understood by human beings. We accomplish this aim in the present paper by presenting a notational reformulation of Boolean algebra and the Robbins problem. The notational/linguistic issue developed here is of cybernetic, linguistic and semiotic interest. It is our contention that mathematics can behave non‐trivially under change of notation. Change of notation can be as significant as change of language. In the present case the change of language afforded by an appropriate change of notation makes a mathematical domain accessible to human beings that has heretofore been only accessible to computers.

Details

Kybernetes, vol. 30 no. 5/6
Type: Research Article
ISSN: 0368-492X

Keywords

Available. Content available
Article
Publication date: 19 June 2007

28

Abstract

Details

Kybernetes, vol. 36 no. 5/6
Type: Research Article
ISSN: 0368-492X

Available. Content available
Book part
Publication date: 8 March 2021

Abstract

Details

George Spencer Brown's “Design with the NOR”: With Related Essays
Type: Book
ISBN: 978-1-83982-611-5

Available. Content available
Article
Publication date: 1 February 2001

29

Abstract

Details

Kybernetes, vol. 30 no. 1
Type: Research Article
ISSN: 0368-492X

Keywords

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Book part
Publication date: 20 April 2023

Sara L. Cochran and Donald F. Kuratko

The world is changing very rapidly with events that alter the landscape for students during a time when entrepreneurs are needed more than ever. This chapter explores trends in…

Abstract

The world is changing very rapidly with events that alter the landscape for students during a time when entrepreneurs are needed more than ever. This chapter explores trends in entrepreneurship research that are focused in areas of the entrepreneurial mindset, alleviation of poverty through entrepreneurship, social entrepreneurship, portfolio thinking about entrepreneurial venture types, the crucial nature of racial diversity, and the drive of women entrepreneurs. It also examines COVID-19’s disparate impact on smaller ventures and Black entrepreneurs, while highlighting its impact on spurring entrepreneurial innovations causing an entrepreneurial explosion. Most importantly, this chapter focuses on how the emerging research trends amidst the COVID-19 pandemic have prompted entrepreneurship educators to enact educational innovations. The chapter includes tools and tips to integrate into the changing nature of university programs and entrepreneurship curriculums facing a dynamic future.

Details

The Age of Entrepreneurship Education Research: Evolution and Future
Type: Book
ISBN: 978-1-83753-057-1

Keywords

Available. Open Access. Open Access
Article
Publication date: 15 July 2018

Kristen A. Gilbert, Robert H. Voelkel and Christie W. Johnson

Research suggests effective immersive simulations that rely on augmented reality enhance teachers’ self-efficacy and skills (Badiee & Kauffman, 2015). However, there is a gap in…

121

Abstract

Research suggests effective immersive simulations that rely on augmented reality enhance teachers’ self-efficacy and skills (Badiee & Kauffman, 2015). However, there is a gap in the literature as studies have largely ignored their uses in educational leadership programs (Bradley & Kendall, 2015). This study investigated the relationship between application of critical skills within an immersive simulation environment and 26 school or district leaders’ perceptions of self-efficacy in leading a professional learning community (PLC). Two overarching themes materialized from participants: improved general confidence in leading a PLC, and a sense of refined or expanded skills in the context of new approaches to leading PLC. Further studies are needed on the use of immersive simulation as a pedagogical tool and to examine impact for educational leadership practitioners.

Details

Journal of Leadership Education, vol. 17 no. 3
Type: Research Article
ISSN: 1552-9045

Available. Open Access. Open Access
Article
Publication date: 15 October 2018

Kristen A. Gilbert, Robert H. Voelkel and Christie W. Johnson

Research suggests effective immersive simulations that rely on augmented reality enhance teachers’ self-efficacy and skills (Badiee & Kauffman, 2015). However, there is a gap in…

209

Abstract

Research suggests effective immersive simulations that rely on augmented reality enhance teachers’ self-efficacy and skills (Badiee & Kauffman, 2015). However, there is a gap in the literature as studies have largely ignored their uses in educational leadership programs (Bradley & Kendall, 2015). This study investigated the relationship between application of critical skills within an immersive simulation environment and 26 school or district leaders’ perceptions of self-efficacy in leading a professional learning community (PLC). Two overarching themes materialized from participants: improved general confidence in leading a PLC, and a sense of refined or expanded skills in the context of new approaches to leading PLC. Further studies are needed on the use of immersive simulation as a pedagogical tool and to examine impact for educational leadership practitioners.

Details

Journal of Leadership Education, vol. 17 no. 4
Type: Research Article
ISSN: 1552-9045

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Book part
Publication date: 27 December 2018

Jerome A. Katz

The history of the field of entrepreneurship and the entrepreneurship program at Saint Louis University is discussed, along with the descriptions of the Gateways to…

Abstract

The history of the field of entrepreneurship and the entrepreneurship program at Saint Louis University is discussed, along with the descriptions of the Gateways to Entrepreneurship Conferences and the creation of the Advances in Entrepreneurship, Firm Emergence, and Growth (AEFEG) series given in relation to those national- and campus-level contexts. The growth and development of the AEFEG series is discussed and the editorial contributors are noted, which could be of use to those interested in editorial roles and processes. Based on these elements, the chapter concludes with observations on the field of entrepreneurship and some ideas about its future.

Details

Reflections and Extensions on Key Papers of the First Twenty-Five Years of Advances
Type: Book
ISBN: 978-1-78756-435-0

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