ODD NUMBER in Cognitive Linguistics of WILLIAM CROFT and D. ALAN CRUSE The 2019 Stack Overflow...
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ODD NUMBER in Cognitive Linguistics of WILLIAM CROFT and D. ALAN CRUSE
The 2019 Stack Overflow Developer Survey Results Are InWhat does the term “coercion” mean in the context of Cognitive Linguistics?What does a cognitive linguistics researcher actually do in practice?What kinds of maths to learn for understanding dynamical systems in cognitive linguistics?Short summary of Cognitive LinguisticsDoes understanding free word order require a distinct cognitive process?How does flexible and context-dependent Categorisation not imply fuzzy Category Boundaries?Subject-verb number agreement with complex subjectDefinition of “concept” and "conceptual field in cognitive linguisticsWhat is the view of prototype theory regarding features?Is there any bridge between cognitive linguistics and cognitive psychology, beside knowledge representation?
In the subsection 4.3.4.2 The ‘odd number paradox’ of Cognitive Linguistics by W. Croft & D. A. Cruse
We read:
The ‘odd number paradox’ has also been put forward as a problem for
prototype theory. Armstrong et al. (1983) found that people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features. Their proposed solution, the so-called ‘dual representation’ hypothesis, combines the prototype approach and the classical approach (Smith et al. 1974). The idea is that concepts have two representations, which have different functions. There is a ‘core’ representation, which has basically the form of a classical definition. This representation will govern the logical properties of the concept. The other representation is some sort of prototype system which prioritizes the most typical features, and whose function is to allow rapid categorization of instances encountered. With this set-up, the odd-number effect ceases to be a puzzle. However, this conjunction of two theories inherits most of the problems of both of them: in particular, it reinstates a major problem of the classical theory that prototype theory was intended to solve, namely, the fact that for a great many everyday concepts there is no available core definition.
It is clear for me that they speak about conjecture of the two representations of a concept.
But I is unclear for me what do they mean in this sentence 'people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features.'
cognitive-linguistics prototype-theory
edited 56 mins ago
curiousdannii
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
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add a comment |
In the subsection 4.3.4.2 The ‘odd number paradox’ of Cognitive Linguistics by W. Croft & D. A. Cruse
We read:
The ‘odd number paradox’ has also been put forward as a problem for
prototype theory. Armstrong et al. (1983) found that people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features. Their proposed solution, the so-called ‘dual representation’ hypothesis, combines the prototype approach and the classical approach (Smith et al. 1974). The idea is that concepts have two representations, which have different functions. There is a ‘core’ representation, which has basically the form of a classical definition. This representation will govern the logical properties of the concept. The other representation is some sort of prototype system which prioritizes the most typical features, and whose function is to allow rapid categorization of instances encountered. With this set-up, the odd-number effect ceases to be a puzzle. However, this conjunction of two theories inherits most of the problems of both of them: in particular, it reinstates a major problem of the classical theory that prototype theory was intended to solve, namely, the fact that for a great many everyday concepts there is no available core definition.
It is clear for me that they speak about conjecture of the two representations of a concept.
But I is unclear for me what do they mean in this sentence 'people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features.'
cognitive-linguistics prototype-theory
edited 56 mins ago
curiousdannii
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
In the subsection 4.3.4.2 The ‘odd number paradox’ of Cognitive Linguistics by W. Croft & D. A. Cruse
We read:
The ‘odd number paradox’ has also been put forward as a problem for
prototype theory. Armstrong et al. (1983) found that people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features. Their proposed solution, the so-called ‘dual representation’ hypothesis, combines the prototype approach and the classical approach (Smith et al. 1974). The idea is that concepts have two representations, which have different functions. There is a ‘core’ representation, which has basically the form of a classical definition. This representation will govern the logical properties of the concept. The other representation is some sort of prototype system which prioritizes the most typical features, and whose function is to allow rapid categorization of instances encountered. With this set-up, the odd-number effect ceases to be a puzzle. However, this conjunction of two theories inherits most of the problems of both of them: in particular, it reinstates a major problem of the classical theory that prototype theory was intended to solve, namely, the fact that for a great many everyday concepts there is no available core definition.
It is clear for me that they speak about conjecture of the two representations of a concept.
But I is unclear for me what do they mean in this sentence 'people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features.'
cognitive-linguistics prototype-theory
edited 56 mins ago
curiousdannii
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
In the subsection 4.3.4.2 The ‘odd number paradox’ of Cognitive Linguistics by W. Croft & D. A. Cruse
We read:
The ‘odd number paradox’ has also been put forward as a problem for
prototype theory. Armstrong et al. (1983) found that people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features. Their proposed solution, the so-called ‘dual representation’ hypothesis, combines the prototype approach and the classical approach (Smith et al. 1974). The idea is that concepts have two representations, which have different functions. There is a ‘core’ representation, which has basically the form of a classical definition. This representation will govern the logical properties of the concept. The other representation is some sort of prototype system which prioritizes the most typical features, and whose function is to allow rapid categorization of instances encountered. With this set-up, the odd-number effect ceases to be a puzzle. However, this conjunction of two theories inherits most of the problems of both of them: in particular, it reinstates a major problem of the classical theory that prototype theory was intended to solve, namely, the fact that for a great many everyday concepts there is no available core definition.
It is clear for me that they speak about conjecture of the two representations of a concept.
But I is unclear for me what do they mean in this sentence 'people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features.'
cognitive-linguistics prototype-theory
cognitive-linguistics prototype-theory
edited 56 mins ago
curiousdannii
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 56 mins ago
curiousdannii
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 56 mins ago
curiousdannii
2,96431531
edited 56 mins ago
curiousdannii
2,96431531
edited 56 mins ago
curiousdannii
2,96431531
2,96431531
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
asked 5 hours ago
Ana VardosanidzeAna Vardosanidze
111
111
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Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Ana Vardosanidze is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
1 Answer
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"people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features" means that you can ask people things like "which is a better example of an odd number, 19 or 1001" and at least some of them will answer with one or the other (I'd guess most people will go with 19) rather than rejecting the question by saying something like "they're both odd numbers, since neither is divisible by two, so they're equally good examples". Presumably whatever sources Croft and Cruse cite would have details on the exact nature of the experiments that have been done.
answered 5 hours ago
sumelicsumelic
10k12156
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
add a comment |
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1 Answer
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1 Answer
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oldest
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votes
"people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features" means that you can ask people things like "which is a better example of an odd number, 19 or 1001" and at least some of them will answer with one or the other (I'd guess most people will go with 19) rather than rejecting the question by saying something like "they're both odd numbers, since neither is divisible by two, so they're equally good examples". Presumably whatever sources Croft and Cruse cite would have details on the exact nature of the experiments that have been done.
answered 5 hours ago
sumelicsumelic
10k12156
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
add a comment |
"people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features" means that you can ask people things like "which is a better example of an odd number, 19 or 1001" and at least some of them will answer with one or the other (I'd guess most people will go with 19) rather than rejecting the question by saying something like "they're both odd numbers, since neither is divisible by two, so they're equally good examples". Presumably whatever sources Croft and Cruse cite would have details on the exact nature of the experiments that have been done.
answered 5 hours ago
sumelicsumelic
10k12156
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
add a comment |
"people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features" means that you can ask people things like "which is a better example of an odd number, 19 or 1001" and at least some of them will answer with one or the other (I'd guess most people will go with 19) rather than rejecting the question by saying something like "they're both odd numbers, since neither is divisible by two, so they're equally good examples". Presumably whatever sources Croft and Cruse cite would have details on the exact nature of the experiments that have been done.
answered 5 hours ago
sumelicsumelic
10k12156
"people will grade ODD NUMBERS for centrality, even though the category ODD NUMBER has a clear definition in terms of necessary and sufficient features" means that you can ask people things like "which is a better example of an odd number, 19 or 1001" and at least some of them will answer with one or the other (I'd guess most people will go with 19) rather than rejecting the question by saying something like "they're both odd numbers, since neither is divisible by two, so they're equally good examples". Presumably whatever sources Croft and Cruse cite would have details on the exact nature of the experiments that have been done.
answered 5 hours ago
sumelicsumelic
10k12156
answered 5 hours ago
sumelicsumelic
10k12156
answered 5 hours ago
sumelicsumelic
10k12156
answered 5 hours ago
sumelicsumelic
10k12156
10k12156
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
add a comment |
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
Thank you for your answer, it was very useful one. I have an additional question: Why do they call it paradox? Does the paradox mean choosing one of the odd numbers, when they are both the same type and one is not batter than another?
– Ana Vardosanidze
4 hours ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
The paradox is that the definition of odd numbers means that no odd number is more odd-like than another; but people act as if they were. And yet anybody who knows what's an odd number knows the definition. Therefore people seem to act in contradiction to the definition they themselves are using.
– melboiko
31 mins ago
add a comment |
Ana Vardosanidze is a new contributor. Be nice, and check out our Code of Conduct.
Ana Vardosanidze is a new contributor. Be nice, and check out our Code of Conduct.
Ana Vardosanidze is a new contributor. Be nice, and check out our Code of Conduct.
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