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The International Phonetic Alphabet (IPA) is an alphabetic system of phonetic notation based primarily on the Latin alphabet. With phonetic transcriptions, dictionarie tell you about the pronunciation of words, because the spelling of an English word does not tell you how you should pronounce it. Below is the phonetic transcription of infinitary:

/ɪnfənɪtɛɹi/

infinitarilyinfinitantinfinitamenteinfinitableinfinitainfinitinfiniskiinfinishtudeinfinishinfininceinfiniminerinfinilonginfiniitelyinfinifranchiseinfinifraginfinitasinfinitasbleinfinitateinfinitatedinfinitatesinfinitatinginfinitationinfinitaurinfiniteinfinitebankinginfinitebutinfinitegatesinfiniteitinfinitellyinfinitely

- objects are finitary but their effects could be infinitary. The moment you are trying to
- represent any infinitary object in a finite manner you require it to be machine understandable
- giving a finitary representation to what you might consider infinitary objects.
- What kinds of infinitary objects are we normally concerned with? In the most general case an
- some mathematical function or relation. These functions and relations could be infinitary.
- We are looking at infinitary objects as functions. Basically mathematical functions relations
- we will concentrate on trying to get finitary representations of infinitary objects and
- these infinitary objects are really functions.
- Here is a case of our finitary specification as opposed to this infinitary specification.
- specification of essentially an infinitary object, the even numbers. Whereas this is
- You have rules of inferential logic which are always finitary or they might be infinitary
- again of infinitary objects. Further in a logical language with axioms and rules of
- you cannot give axioms and rules of inference which are infinitary in a logical language.
- Everything that is infinitary should have a finite representation. There are of course
- infinitary objects which will have no finite representations. They are clearly not going
- process period. We are interested in those kinds of infinitary objects which somehow
- in infinitary computational processes which have finitary representations. We are interested
- in programming languages which allow for finitary representation of inherently infinitary objects.
- and anything that is infinitary is not part of the computational process with some restrictions.
- If you look at propositional logic, it does not allow you to specify infinitary objects