Analogy vs Isomorphism - What's the difference?
analogy | isomorphism |
A relationship of resemblance or equivalence between two situations, people, or objects, especially when used as a basis for explanation or extrapolation.
* 1841 , , Essays: First Series , ch. 6:
* 1869 , , The Uncommercial Traveller , ch. 18:
* 1901 , , The Valley of Decision , ch. 12:
* 1983 , "
* 2002 , , Gone for Good , ISBN 9780440236733,
Similarity of form
* 1984 Brigitte Asbach-Schnitker, "Introduction", Mercury or The Secret and Swift Messenger , ISBN 9027232768.
(biology) the similarity in form of organisms of different ancestry
: (chemistry) the similarity in the crystal structures of similar chemical compounds
:* 1874 C. Rammelsberg,
: (sociology) the similarity in the structure or processes of different organizations
: 2. A one-to-one correspondence
: (group algebra) A bijection f'' such that both ''f'' and its inverse ''f −1 are homomorphisms, that is, structure-preserving mappings.
: (computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets
: (category theory) A morphism which has an inverse; the composition of the morphism and its inverse yields either one of two identity morphisms (depending on the order of composition).
As nouns the difference between analogy and isomorphism
is that analogy is a relationship of resemblance or equivalence between two situations, people, or objects, especially when used as a basis for explanation or extrapolation while isomorphism is similarity of form.analogy
English
(wikipedia analogy)Noun
(analogies)- Yet the systole and diastole of the heart are not without their analogy in the ebb and flow of love.
- Is there any analogy , in certain constitutions, between keeping an umbrella up, and keeping the spirits up?
- The old analogy likening the human mind to an imperfect mirror, which modifies the images it reflects, occurred more than once to Odo.
How to Write Programs," Time , 3 Jan.:
- Perhaps the easiest way to think of it is in terms of a simple analogy : hardware is to software as a television set is to the shows that appear on it.
p. 75:
- A kid living on the street is a bit like — and please pardon the analogy here — a weed.
Derived terms
* disanalogy * false analogySee also
* metaphor * simile * example * homology * parable * parallelism English words prefixed with ana-isomorphism
English
Noun
(en noun)- The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.
"Crystallographic and chemical relations of the natural sulphides, arsenides, and sulpharsenides", The Chemical News and Journal of Physical Science , page 197.
- The isomorphism' of compounds does not prove the ' isomorphism of their respective constituents.
