Posers and Puzzles
13 Feb 10
13 Feb 10
Just been introduced to two new words: homogeneous & heterogeneous.
A homogeneous word is a word which describes itself.
e.g. The word "short" is homogeneous because it is a short word.
And "polysyllabic" is homogeneous because it is itself a polysyllabic word.
A heterogeneous word is a word which does not describe itself.
e.g. The word "long" is heterogeneous because it is not long.
And "monosyllabic" is heterogeneous because it is not monosyllabic.
The question dear friends is:
Are all adjectives either homogeneous or heterogeneous?
14 Feb 10
Originally posted by wolfgang59I think you are confused: the terms that you describe are 'homological' and 'heterological'.
Just been introduced to two new words: homogeneous & heterogeneous.
A [b]homogeneous word is a word which describes itself.
e.g. The word "short" is homogeneous because it is a short word.
And "polysyllabic" is homogeneous because it is itself a polysyllabic word.
A heterogeneous word is a word which does not describe itself.
e.g. T ...[text shortened]...
The question dear friends is:
Are all adjectives either homogeneous or heterogeneous?[/b]
And no, I don't think all adjectives are necessarily one or the other. For instance, I don't find anything 'warm' or 'cold' in the adjective 'warm'.
14 Feb 10
Originally posted by Mephisto2'cold' and 'hot' are heterogeneous (or heterological) words since they do not describe themselves.
I think you are confused: the terms that you describe are 'homological' and 'heterological'.
And no, I don't think all adjectives are necessarily one or the other. For instance, I don't find anything 'warm' or 'cold' in the adjective 'warm'.
14 Feb 10
Originally posted by wolfgang59Heterogeneous (or heterological) is neither. If it does not describe itself, then
Just been introduced to two new words: homogeneous & heterogeneous.
A [b]homogeneous word is a word which describes itself.
e.g. The word "short" is homogeneous because it is a short word.
And "polysyllabic" is homogeneous because it is itself a polysyllabic word.
A heterogeneous word is a word which does not describe itself.
e.g. T ...[text shortened]...
The question dear friends is:
Are all adjectives either homogeneous or heterogeneous?[/b]
it does describe itself. And if it does describe itself, then it does not. This is the
Grelling-Nelson paradox. I think all other adjectives are one or the other.
15 Feb 10
Originally posted by HandyAndyThank you.
Heterogeneous (or heterological) is neither. If it does not describe itself, then
it does describe itself. And if it does describe itself, then it does not. This is the
Grelling-Nelson paradox. I think all other adjectives are one or the other.
Didnt know the paradox had that name!
I was thinking that logically it was the same as Russell's Paradox.
15 Feb 10
Originally posted by wolfgang59That means that you are interpreting it in the broad sense, which leads to a very, very asymetrical (in terms of number of items in each subset) partition of the adjectives. I was more thinking in the narrow sense: describe themselves or rather the opposite. That leads to two subsets with comparable size, i.e. more symetrical, and both small compared to the total set of adjectives.
'cold' and 'hot' are heterogeneous (or heterological) words since they do not describe themselves.
And of course, depending heavily on the language.
15 Feb 10
Originally posted by Mephisto2The examples I gave were misleading.....
That means that you are interpreting it in the broad sense, which leads to a very, very asymetrical (in terms of number of items in each subset) partition of the adjectives. I was more thinking in the narrow sense: describe themselves or rather the opposite. That leads to two subsets with comparable size, i.e. more symetrical, and both small compared to the total set of adjectives.
And of course, depending heavily on the language.
16 Feb 10
Originally posted by wolfgang59The Grelling-Nelson is related to Russell's paradox in that both deal with self-reference.
Thank you.
Didnt know the paradox had that name!
I was thinking that logically it was the same as Russell's Paradox.
If you're interested in paradoxical matters and mind-bending concepts, I think you'll
enjoy reading Douglas Hofstadter's Godel, Escher, Bach, a classic.
16 Feb 10
Originally posted by HandyAndyThis is next on my list! I absolutely loved "I Am A Strange Loop", also by Hofstadter, which delves into the idea of the "strange loop" especially with regards to the nature of self-reference in consciousness. I can't wait to read the Pulitzer-prize winning book that started it all. 🙂
The Grelling-Nelson is related to Russell's paradox in that both deal with self-reference.
If you're interested in paradoxical matters and mind-bending concepts, I think you'll
enjoy reading Douglas Hofstadter's Godel, Escher, Bach, a classic.
I'm currently reading "Complexity: A Guided Tour" by Melanie Mitchell, one of Hofstadter's former grad students. The connection is purely coincidental in my case, I just thought the topic sounded fascinating. I was pleasantly surprised to see the dedication made out to Hofstadter and John Holland. 🙂
16 Feb 10
Originally posted by HandyAndyThanks. My Amazon order is on its way.
The Grelling-Nelson is related to Russell's paradox in that both deal with self-reference.
If you're interested in paradoxical matters and mind-bending concepts, I think you'll
enjoy reading Douglas Hofstadter's Godel, Escher, Bach, a classic.