in Artificial Intelligence, Grus

Language is a representation of Thought

Mathematics is the language of God and so is the language of our mind. A man may speak many languages but there is only one way of storing everything he speaks.

Below is probably how information from the external world coming inside is stored.

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As proposed by Noam Chomsky in Universal Grammar, the L.A.D, Language Acquisition Device is a default installation we are born with. A child at a very young age can easily speak properly structured sentences using the rules inside the LAD.

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Most of predicate logic, first order and higher order logic representations solve an extremely small part of the problem but are definitely a good start. Consider the below statement for example.

Sentence 1: All purple mushrooms are poisonous
Logic Representation:
x[(Mushroom(x) ∧ Purple(x)) → Poisonous(x)]

What we understand from the above represented logic is that If a mushroom is not purple then the mushroom is not Poisonous. Various inferences for the same statement can be.


x[(Mushroom(x) ∧ ¬Purple(x)) → ¬Poisonous(x)]
Mushroom but not purple --> Not Poisonous
x[(¬Mushroom(x) ∧Purple(x)) → ¬Poisonous(x)]
Not a mushroom but purple --> Not Poisonous

Sentence 2: Everest is the highest mountain on Earth.
Logical Representation:
Mountain(everest) ∧ ¬∃x[Mountain(x) ∧ Higher(x, everest) ∧ On(x, earth)]

Most of this logic assumes the availability of functions like Mushroom, Purple, Higher, On etc. A computer program capable of being able to automatically create these functions must know how to derive those functions but based on what and how many of them?

Inference: I ll need to run more experiments with longer sentences and try to find a way to build these functions. A man with little knowledge of a language can express ideas in that language to another human being without the use of proper grammar. Building a computer program capable of forming grammatically correct sentences is an easy problem to solve and can be done with a readily available  Text Corpus but a program capable of storing thoughts in a mathematically solvable format is the hard part. Thoughts are mathematical models.

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