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First, a renewed relationship between philosophy and mathematics has important methodological implications for educational research. Though it has largely been forgotten today, philosophy is fundamentally mathematical. We need to revive, reinvigorate, and reinvent the ancient connection between philosophy and mathematics because something vitally important has been lost.
Second, we’re going to apply what we learn from the connection between mathematics and philosophy to educational measurement. Not all quantitative methods are reductionistic. And some might be surprised to learn how much good math there can be in qualitative methods.
Third, with our new appreciation for mathematically meaningful measurement in hand, we are going to bring out the whole range of relevant applications. We are witnessing the birth of a new human science of caring that will support a new era of socially and environmentally sustainable economic activity.
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