In mathematics, semantics, and philosophy of language, the Principle of Compositionality is the principle that the meaning of a complex expression is determined by the meanings of its constituent expressions and the rules used to combine them. This principle is also called Frege's Principle, because Gottlob Frege is widely credited for the first modern formulation of it. However, the idea appears already among Indian philosophers of grammar such as Yāska, and also in Plato's work such as in Theaetetus. Besides, the principle was never explicitly stated by Frege,[1] and it was arguably already assumed by Boole[2] decades before Frege’s work.
The principle of compositionality states that in a meaningful sentence, if the lexical parts are taken out of the sentence, what remains will be the rules of composition. Take, for example, the sentence "Socrates was a man". Once the meaningful lexical items are taken away—"Socrates" and "man"—what is left is the pseudo-sentence, "S was a M". The task becomes a matter of describing what the connection is between S and M. It is frequently taken to mean that every operation of the syntax should be associated with an operation of the semantics that acts on the meanings of the constituents combined by the syntactic operation. As a guideline for constructing semantic theories, this is generally taken, as in the influential work on the philosophy of language by Donald Davidson, to mean that every construct of the syntax should be associated by a clause of the T-schema with an operator in the semantics that specifies how the meaning of the whole expression is built from constituents combined by the syntactic rule. In some general mathematical theories (especially those in the tradition of Montague grammar) this guideline is taken to mean that the interpretation of a language is essentially given by a homomorphism between an algebra of syntactic representations and an algebra of semantic objects. The Principle of Compositionality also exists in a similar form in the compositionality of programming languages. |
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June 2016
Ectropion Web DesignerJulian Glidden LibraDiscliamer:
I am no God. I am not trying to be. I have come across many supernatural experiences in my life, and for one-thing, I am a Christian, but understand, I do not wish harm on anyone or further knowledge that I endeavor, for my choice to Research is simply to approach Truth in effort to restore the Gospel. Any distortions of truths can proclaim that False Gods & Angels are Demons in disguise, however, my assumptions are that they are otherworldly in the flesh of Man, bearing no distinct Truths, except by the Fruits they preserve themselves to be. I however do not adorn to any activity in any reasoning whatsoever to boycott or mount aggression onto others through Criticism, but I seek Knowledge to embrace thought onto Christ, providing as best I can to know full-hand that he is indeed my Lord and Savior. I seek only to inform, blog about what's on the Mind other than what I spiritually can place amongst what I may witness due to my own experiences in real-time that have led me to tell about anything ascertainable that has led me to post about what I believe in, to what is happening, not prior to what others believe in as a specific religious Group or Church; not for those should one be seen as for any selfish gain prior to promotion, but those who seek the Truth also. It is about Faith, and my Research prior to the conscientiousness of understanding Christ and looking beyond the boundaries prior to what many Biblical Worksmen of today are trying to block out that holds reasoning to any foreseeable Truths as far as to what's not adhered to in this current reach in Society. Upon this Almanac, it serves as an Almanac Source prior to establishing a means to the Soul, towards the Understanding of the Heart, not of labeling and understanding Internal Organs, but of understanding Characteristics and further spiritual attributes that pertain to who we see ourselves as in Society. |