2021
DOI: 10.1007/s10699-021-09794-1
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Quantum Bose–Einstein Statistics for Indistinguishable Concepts in Human Language

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Cited by 5 publications
(7 citation statements)
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“…Suppose we consider the concepts Cat and Dog and the configurations Two Cats , Two Dogs and A Cat And A Dog . Let us remark that this is exactly the situation we have studied already in great detail showing Bose–Einstein statistics to be a better representation as compared to Maxwell–Boltzmann statistics [ 4 , 9 , 55 ]. Let us first note that, as we explained above, both Cat and Dog are states of the concept Animal , and so here we consider the situation of two particles Animal , in two states Cat and Dog , which is the situation we analyzed theoretically above.…”
Section: Photons Atoms and Wordssupporting
confidence: 61%
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“…Suppose we consider the concepts Cat and Dog and the configurations Two Cats , Two Dogs and A Cat And A Dog . Let us remark that this is exactly the situation we have studied already in great detail showing Bose–Einstein statistics to be a better representation as compared to Maxwell–Boltzmann statistics [ 4 , 9 , 55 ]. Let us first note that, as we explained above, both Cat and Dog are states of the concept Animal , and so here we consider the situation of two particles Animal , in two states Cat and Dog , which is the situation we analyzed theoretically above.…”
Section: Photons Atoms and Wordssupporting
confidence: 61%
“…The microstates that come into play in this case exist in the conceptual realm of the child’s conceptual world, and there is no reason that within this conceptual world there will be a double amount of microstates for the choice of a cat and a dog as compared to the choices for two cats or two dogs. Specifically this type of situation was investigated by us in many different and more complex configurations, with the result of Bose–Einstein proving a better statistics than Maxwell–Boltzmann to model the situation [ 4 , 9 , 55 ]. If there are however two children each choosing one pet and doing so independently of each other, Maxwell–Boltzmann statistics will be the governing statistics, because the choices of the two children will both carry probabilities 1/2 for cat and 1/2 for dog, which leads to 1/4 for two cats, 1/4 for two dogs, and 1/2 for a cat and a dog.…”
Section: Photons Atoms and Wordsmentioning
confidence: 99%
“…This was possible because, with the current size of the World-Wide Web, these 'numbers of hits' for the sentences such as 'seven cats and four dogs' came to between 100 and 250, which made it possible to count them manually and thus to arrive at a reliable result with respect to the frequencies of occurrence. In an even more convincing way than this was the case in previous studies, the Bose-Einstein distribution proved to yield a better model for the collected data than this was the case for the Maxwell-Boltzmann distribution (Beltran, 2021). At this stage, however, where it proved impossible to test the original idea in even the largest of the available corpus of documents, namely Google Books, we began to look for possible other ways to know the nature of the underlying statistics of human cognition and language.…”
Section: Identity and Indistinguishabilitysupporting
confidence: 52%
“…This was possible because, with the current size of the World-Wide Web, these “numbers of hits” for the sentences such as “seven cats and four dogs” came to between 100 and 250, which made it possible to count them manually and thus to arrive at a reliable result with respect to the frequencies of occurrence. In an even more convincing way than this was the case in previous studies, the Bose-Einstein distribution proved to yield a better model for the collected data than this was the case for the Maxwell-Boltzmann distribution (Beltran, 2021 ). At this stage, however, where it proved impossible to test the original idea in even the largest of the available corpus of documents, namely Google Books, we began to look for possible other ways to know the nature of the underlying statistics of human cognition and language.…”
Section: Identity and Indistinguishabilitymentioning
confidence: 53%