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Psychology's Questionable Research Fundamentals (QRFs): Key problems in quantitative psychology and psychological measurement beyond Questionable Research Practices (QRPs). [PDF]

open access: yesFront Psychol
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Cardinal and Ordinal Numbers

1998
In this chapter we present some basic set-theoretical notions. The first five sectionsl are devoted to cardinal numbers. We use Zorn’s lemma to develop cardinal arithmetic. Ordinal numbers and the methods of transfinite induction on well-ordered sets are presented in the next four sections. Finally, we introduce trees and the Souslin operation.
exaly   +2 more sources

The ABC of cardinal and ordinal number representations

Trends in Cognitive Sciences, 2008
Numerical cognition encompasses the concepts of quantity ('how many?') and serial order ('which position?'). Yet, although numbers can convey different meanings, a recent imaging study by Fias and coworkers showed that ranking letters in the alphabet is subserved by a cortical network highly similar to that involved in judging magnitudes.
Simon N, Jacob, Andreas, Nieder
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Cardinal Number and Ordinal Number

2010
Recall from Chapter 13 that we write card A = card B if there is a bijection A → B. Then we say that A and B have the same cardinal number. We write card A ≤ card B if there is an injection A → B. In this latter case we say that the cardinal number of A is less than or equal to the cardinal number of B. Recall that card N ≤ card R but card N ≠ card R.
Matthias Beck, Ross Geoghegan
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