[心得] Comparisons of 3 foundational languages
Thought is the highest spiritual form of human beings. The existence
of one's thought is the existence of one's being. The significance
of "language" is that thoughts are represented by languages. Thus to
study thoughts requires the study of languages; the limits of languages
are the limits of thoughts. Differences of languages arise from
facilitating different uses.
Natural language is an inherited one. It facilitates the interaction
between human beings and the nature. Although the syntax is fixed,
the semantics is changing through the cognitive process for different
pragmatic situations. This structure of natural language enables
us to imagine, interpret, create, and express our anthropological
existence. The high order ability of natural language makes human's
meta-cognition possible, allowing thoughts of thoughts, and this gives
the birth of "philosophy"!
Logic models our reasoning. While semantics can be represented by
subset relationships, inference can be formalized as procedures.
The reduced syntax and unambiguity simplify studying the meta-properties
of inference in a rigorous way. In the analytic sense, the clarity of
reasoning is the clarity of our thoughts, the limit of reasoning is the
limit of our thoughts. The study of infiniteness semantics under finite
constructs reveals different possible realities of our existence.
Programming language is a more flexible one. New syntax and its link to
new semantics are allowed and appear rapidly for new purposes. The
frequent births of new languages makes programming languages a good
study of "language itself" from a pure language point of view. Despite
the undecidability property in common with logic and natural language,
though programming languages need to meet the requirements of {safety,
modularity, reusability, and cognitive simplicity}, the flexibility in
syntax and semantics makes programming languages an art of language.
Thought is the highest spiritual form of human beings. A good command of
different foundational languages gives variety of thoughts. The deep
understanding of foundational languages touches the essential properties
of thoughts. Languages, are not only the prison of our minds, but also the
liberation of our souls!
opdd
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