Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective
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DOI: 10.1007/s10992-018-9490-1
Abstract: Inspired by Kit Fine’s theory of arbitrary objects, we explore some ways in which the generic structure of the natural numbers can be presented. Following a suggestion of Saul Kripke’s, we discuss how basic facts… read more here.
Keywords: reasoning arbitrary; numbers carnapian; arbitrary natural; natural numbers ... See more keywords
Modes of synchronisation in the wake of a streamwise oscillatory cylinder
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DOI: 10.1017/jfm.2017.655
Abstract: A numerical analysis of flow around a circular cylinder oscillating in-line with a steady flow is carried out over a range of driving frequencies $(f_{d})$ at relatively low amplitudes $(A)$ and a constant Reynolds number… read more here.
Keywords: modes synchronisation; wake streamwise; synchronisation wake; cylinder ... See more keywords
The Peano Axioms: An IBL Unit Constructing the Natural Numbers
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DOI: 10.1080/10511970.2016.1199619
Abstract: Abstract A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using… read more here.
Keywords: peano axioms; axioms ibl; natural numbers; ibl unit ... See more keywords
Meta-Fibonacci Codes:Efficient Universal Coding of Natural Numbers
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DOI: 10.1109/tit.2017.2663433
Abstract: In this paper, we address the problem of the universal coding of natural numbers. A new numeration system is introduced, which is based on variable- $r$ meta-Fibonacci sequences and it is a generalization of the… read more here.
Keywords: meta fibonacci; coding natural; universal coding; fibonacci codes ... See more keywords
Assistance System for the Teaching of Natural Numbers to Preschool Children with the Use of Artificial Intelligence Algorithms
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DOI: 10.3390/fi14090266
Abstract: This research was aimed at designing an image recognition system that can help increase children’s interest in learning natural numbers between 0 and 9. The research method used was qualitative descriptive, observing early childhood learning… read more here.
Keywords: system; assistance system; artificial intelligence; system teaching ... See more keywords