Taking a Constructivist View, Engineering Starts with the Basics and Progresses toward Complexity.
THE art of assemblage differs from its immediate ancestors, the Cubist or Dada collage and constructivist sculpture, mainly by way of its three-dimensionality on the one hand, and the heterogeneity of its component materials on the other.
This online and face-to-face education program utilizes the best of tech-ed and constructivist learning methods to transform classrooms into countries and students into citizens.
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In a sense, computational complexity is descended from the concerns of the constructivists on hearing from Cantor that some inﬁnities are bigger than others, e.g. that there are more subsets of the integers than their are integers.
Computational Complexity in Physics
The constructivists denied that all subsets of the integers have mathematical existence, and insisted that we should only believe in those that have an effective description or deﬁnition .
Computational Complexity in Physics
The extended model is based on a combination of a Mertonian and a constructivist perspective on peer review (Bornmann 2007).
Past Performance as Predictor of Successful Grant Applications: A Case Study
The constructivist perspective adds that the social structure has to be reproduced by agency and that choices have to be made. Decisions made about the funding of research, for example, are based on the quality of the researcher involved (1), the proposal (2), and the network of the applicant (3).
Past Performance as Predictor of Successful Grant Applications: A Case Study
After proofs of Debye screening and Kosterlitz Thouless (KT) phase transition, this area (together with the study of the sine-Gordon and Thirring model) remains very active among constructivists.
Constructive Field Theory and Applications: Perspectives and Open Problems
This area is not familiar to me, but it contains certainly very challenging problems which do not often belong to the culture of main stream constructivists.
Constructive Field Theory and Applications: Perspectives and Open Problems
Constructivists, just as they developed the theory of non-Gaussian functional integration, may therefore try to develop a more general theory of random matrices, including in particular those with constraints of geometric origin (see eg [MPR2] for an example).
Constructive Field Theory and Applications: Perspectives and Open Problems
So in order to remain faithful to its initial quest, one could ask whether constructivists should not join the efforts to ﬁnd and build this TOE? I would be tempted to adopt a rather cautious answer to this question, namely “Perhaps, but not yet”.
Constructive Field Theory and Applications: Perspectives and Open Problems
Nowadays, most constructivists point to systems like MartinL¨of ’s Type Theory (MLTT) or Peter Aczel’s constructive set theory CZF as providing the kind of system in which they want their work to be formalisable.
Predicative toposes
Ad 5: Recently a lot of constructivists have worked on formal topology.
Predicative toposes
Most constructivists are willing to countenance certain forms of choice; and, as we will see, one seems to be compelled to use some amount of choice if one can no longer reason impredicatively.
Predicative toposes
Constructivist and structuralist foundations: Bishop’s and Lawvere’s theories of sets.
Predicative toposes
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