6 Result(s)
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Article
David Corfield
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Fundamental weight systems are quantum states
Weight systems on chord diagrams play a central role in knot theory and Chern–Simons theory; and more recently in stringy quantum gravity. We highlight that the noncommutative algebra of horizontal chord diagr...
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Correction to: Expressing ‘the structure of’ in homotopy type theory
The original article has been corrected. The article is published with Open Access but was missing Open Access information. This has been added.
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Open AccessExpressing ‘the structure of’ in homotopy type theory
As a new foundational language for mathematics with its very different idea as to the status of logic, we should expect homotopy type theory to shed new light on some of the problems of philosophy which have b...
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Varieties of Justification in Machine Learning
Forms of justification for inductive machine learning techniques are discussed and classified into four types. This is done with a view to introduce some of these techniques and their justificatory guarantees ...
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Open AccessFalsificationism and Statistical Learning Theory: Comparing the Popper and Vapnik-Chervonenkis Dimensions
We compare Karl Popper’s ideas concerning the falsifiability of a theory with similar notions from the part of statistical learning theory known as VC-theory. Popper’s notion of the dimension of a theory is contr...
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Complementarity and Convergence in the Philosophies of Mathematics and Physics
