A Radical Constructivist View of Basic Mathematical Concepts: Ernst von Glasersfeld

2012 ◽  
pp. 21-23
2014 ◽  
Vol 2 (2) ◽  
pp. 1
Author(s):  
Søren Harnow Klausen

The value and function of theoretical knowledge is an important and disputed issue, which has received surprisingly little scholarly attention. I attempt to clarify the notion of theoretical knowledge and examine its general relationship to learning. Theoretical knowledge is not necessarily distinguished by any particular content; the adjective “theoretical” can just as well signify a particular methodological approach or a way of dealing with a topic, including the way it is conceptualized. I further argue that theoretical knowledge can be merely implicit and non-propositional. Though I reject a radical constructivist view, according to which knowledge acquisition consists in socialization, it must be admitted that socialization and the acquisition of theoretical knowledge do turn out to go closely hand in hand, inasmuch as theoretical knowledge is often a precondition of successful socialization. Concepts, principles, models and symbolic systems support the acquisition of both theoretical and other kinds of knowledge, but also help the learner to find her way about in an environment that is already formed by theories and conceptual understandings. Theoretical knowledge is both a learning instrument and a tool for navigation


CounterText ◽  
2015 ◽  
Vol 1 (3) ◽  
pp. 348-365 ◽  
Author(s):  
Mario Aquilina

What if the post-literary also meant that which operates in a literary space (almost) devoid of language as we know it: for instance, a space in which language simply frames the literary or poetic rather than ‘containing’ it? What if the countertextual also meant the (en)countering of literary text with non-textual elements, such as mathematical concepts, or with texts that we would not normally think of as literary, such as computer code? This article addresses these issues in relation to Nick Montfort's #!, a 2014 print collection of poems that presents readers with the output of computer programs as well as the programs themselves, which are designed to operate on principles of text generation regulated by specific constraints. More specifically, it focuses on two works in the collection, ‘Round’ and ‘All the Names of God’, which are read in relation to the notions of the ‘computational sublime’ and the ‘event’.


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