Am 04.04.13 22:53, schrieb John Carlson:
>
> Natural languages include tenses.  What computer systems have a wide
> variety of tenses?
>
John McCarthy analyzed this in his description of Elephant 2000 [1]
sentence "Algolic programs refer to the past via variables, arrays and
other data structures."

The maths vs natural language discussion boils down to the
interpretation of meaning. In natural language the meaning of an
expression is typically the intent of the sender to create the meaning
in the world of the receiver. In How to do Things with Words  J. L.
Austin analyzed [2] that we use language to do things as well as to
assert things. This interpretation of the meaning of language is called
the theory of speech acts. Mathematics on the other hand is a formal
language and every expression (should be) based on well defined
definitions and proven theorems based on axioms, laws. Attention: I am
not saying that one cannot express speech act models formally. One has
to take the participating agent's knowledge, goals, and beliefs, into
account ....

With Elephant 2000 John envisioned to create a system that work based on
speech acts[3]. He writes further " The nature of the interaction arises
from the fact that the different agents have different goals, knowledge
and capabilities, and an agent's achieving its goals requires
interaction with others. The nature of the required interactions
determines the speech acts required. Many facts about what speech acts
are required are independent of whether the agent is man or machine."

Best,
Jakob

[1] -
http://www-formal.stanford.edu/jmc/elephant/node3.html#SECTION00030000000000000000
[2] - http://en.wikipedia.org/wiki/How_to_Do_Things_with_Words
[3] -
http://www-formal.stanford.edu/jmc/elephant/node2.html#SECTION00020000000000000000

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