Saturday, August 26, 2017

August 26, 2017 Saturday

Bedtime Story 


Developing Semantically Restricted Language


As we concluded last night, depriving natural languages of names of its linguistic objects would restrain it from becoming semantically universal.

In short, limiting its vocabulary can safeguard a natural language from generating paradoxes.

But there is one hitch or glitch.

What about the science of linguistics?

Linguistic is a science that studies languages.

So how can one possibly deprive the language of linguistics with the names of linguistic objects?

Surely that can’t be done.

The language of linguistics got to contain all the names of linguistic objects.

Yet there is a way out.

We need not identify the language of linguistics with the universal language and that can be done by excluding the names of its own components.

In each specific discussion on the subject of linguistics, certain section of the names of certain linguistic objects has to be curtailed.
   
This will prevent it, at least temporarily at each discussion, from becoming semantically universal.

We can play it the same way as with metalogic and metamathematics.

Thus we seem to have managed to have developed semantically restricted languages at least in the arena of various scientific disciplines.

Now the question that arises is whether in such languages we can precisely define the notion of truth such that it is both consistent and adequate?

Tarski says that under certain conditions it would be possible to do so.

It will come with certain conditions though.

The syntactical rules that determine the formation of sentences and meaning from the words has to be very precisely formulated.

Another very important condition is that the syntactical rules have to very formal.

In the case of language here, formality has a different meaning.

The syntactical rules should explicitly define the form or the shape of expressions that can form sentences.

The rules should be so rigid that it should not allow an expression should behave like a sentence at one place but not the other.

Similarly, it must not allow an expression to be a sentence in one context but not the other.

Looking at an expression, one should instantaneously be able to say if that particular expression is a sentence or not.

Stay tuned to the voice of an average story storytelling chimpanzee or login at http://panarrans.blogspot.com
                              
Good night mon ami and my fellow cousin ape.
                           
  
                

             












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Another great educator and a teacher that I am aware of is Professor Subhashish Chattopadhyay in Bangalore, India.

While I narrate stories, Professor Subhashish an electronic engineer and a former professor at BARC, does and teaches real mathematics and physics.

He started the participation of Indian students at the International Physics Olympiad.

Do visit him here:


All his books can be downloaded for free through this link:


For edutainment and English education of your children, I recommend this large collection of Halloween Songs for Kids:


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