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Using a variation of the rainbow construction and various pebble and colouring games, we prove that RRA, the class of all representable relation algebras, cannot be axiomatised by any first-order relation algebra theory of bounded quantifier depth. We also prove that the class At(RRA) of atom structures of representable, atomic relation algebras cannot be defined by any set of sentences in the language of RA atom structures that uses only a finite number of variables.

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Chapter 3 presents an overview of work carried out prior to the emergence of rapid ethnographies. It briefly goes over approaches such as rapid rural appraisals (RRA), participatory rural appraisals (PRA), rapid ethnographic assessments (REA), rapid assessment procedures (RAP), rapid assessment response and evaluation (RARE), rapid appraisals, rapid qualitative inquiry (RQI) and rapid evaluation. The purpose of the chapter is to situate rapid ethnographies within a wider field of rapid research, demonstrating the diversity of approaches and their rich history. The chapter also makes comparisons across rapid approaches to highlight their characteristic features and trends that have developed in the way in which we do rapid research.

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FIRST-ORDER AXIOMATISATIONS OF REPRESENTABLE RELATION ALGEBRAS NEED FORMULAS OF UNBOUNDED QUANTIFIER DEPTH

3 - A Brief History of the Work Prior to Rapid Ethnographies

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2 results

FIRST-ORDER AXIOMATISATIONS OF REPRESENTABLE RELATION ALGEBRAS NEED FORMULAS OF UNBOUNDED QUANTIFIER DEPTH

3 - A Brief History of the Work Prior to Rapid Ethnographies

Summary