ANALYTICITY Meaning and
Definition
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Analyticity is a concept predominantly used in mathematics and logic to describe the properties and relationships between mathematical functions or statements. It refers to the property of being analytic, which is closely related to the concept of differentiability.
In mathematics, a function is said to be analytic in a given region if it can be represented by a convergent power series in that region. This implies that the function can be expressed as an infinite sum of powers of its input variable. Analytic functions are often characterized by their smoothness and regularity, exhibiting properties such as having all derivatives at each point within their domain.
The concept of analyticity extends beyond mathematics and is also used in philosophy, particularly in logical analysis. In this context, analyticity refers to the property of a statement or proposition being true by virtue of its meaning or definition alone, independent of any empirical or observational evidence. It denotes a claim that can be determined through pure reason or logical analysis, disregarding any factual verification. Analytic statements are considered as true by definition or by the rules of logic, and their truth value does not depend on empirical evidence or contingent facts.
Overall, whether used in mathematics or philosophy, analyticity signifies the property of being expressible or provable through logical analysis or formal procedures, either in terms of functions or in terms of statements or propositions.
Common Misspellings for ANALYTICITY
- znalyticity
- snalyticity
- wnalyticity
- qnalyticity
- abalyticity
- amalyticity
- ajalyticity
- ahalyticity
- anzlyticity
- anslyticity
- anwlyticity
- anqlyticity
- anakyticity
- anapyticity
- anaoyticity
- analtticity
- analgticity
- analhticity
- analuticity
- analygicity
Etymology of ANALYTICITY
The word "analyticity" is derived from the noun "analysis" and the suffix "-ity".
The noun "analysis" traces its origins back to the ancient Greek word "analusis", which means "a dissolving" or "loosing up". It comes from the verb "analuein", which means "to unloose" or "to unravel". The term "analysis" was later adopted by Latin as "analysis" and referred to the process of separating or breaking things down into their constituent parts in order to understand them.
The suffix "-ity" is used to form abstract nouns from adjectives or base words. In this case, it implies the state or quality of being analytic.
Therefore, "analyticity" combines the noun "analysis" with the suffix "-ity" to express the state or quality of being analytical or having the ability to analyze.
Similar spelling words for ANALYTICITY
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