1. Give five examples of symbols in the map language.
2. An explicit sentence is a sentence that the creator of the representation actually writes down. An implicit sentence is a sentence that results from explicit sentences because of properties of the analogical representation. Give three examples each of implicit and explicit sentences in the map language.
3. Give three examples of facts about the physical structure of your country that cannot be represented in the map language.
4. Give two examples of facts that are much easier to express in the map language than in first-order logic.
5. Give two other examples of useful analogical representations. What are the advantages and disadvantages of each of these languages?
A logical knowledge base represents the world using a set of sentences
with no explicit structure. An analogical
representation, on the other hand, has physical structure that
corresponds directly to the structure of the thing represented. Consider
a road map of your country as an analogical representation of facts
about the country—it represents facts with a map language. The
two-dimensional structure of the map corresponds to the two-dimensional
surface of the area.
1. Give five examples of symbols in the map language.
2. An explicit sentence is a sentence that the creator
of the representation actually writes down. An
implicit sentence is a sentence that results from
explicit sentences because of properties of the analogical
representation. Give three examples each of implicit
and explicit sentences in the map language.
3. Give three examples of facts about the physical structure of your
country that cannot be represented in the map language.
4. Give two examples of facts that are much easier to express in the
map language than in first-order logic.
5. Give two other examples of useful analogical representations. What
are the advantages and disadvantages of each of these languages?