1. Quantifiers, or their singular quantifier form, can be defined by philosophy, linguistics, or mathematics.
1.A. Philosophy/linguistics. Grammatical terms (indefinite pronouns) used to express generality. On the Aristotelian optics, it can present a universal or existential discourse. Examples: A) ‘Every person needs to love more’. B) ‘Nobody lives alone’.
1 B. Linguistics. Grammatical terms (pronouns, numbers, adverbs, etc.) used to express quantities. Example: ‘With love, a little becomes a lot’.
1 C. Math. Mathematical Symbols -(∃) existential and (∀) universal- used in algebra and logic as indicators of quantity, for a certain property, according to a mathematical expression.
Etymology: Consisting of the medieval Latin verb I will quantifyformed from the Latin term quantusrooted in quamof ‘how much’, conjugated with the suffix -ficāredepending on the verbalization, in which case it is associated with the verb facere, of doing’; and the suffix -dor, according to the deverbal noun.
Grammatical category: masculine noun
in syllables: when-you-fi-ca-do-res / when-you-fi-ca-dor.
At the behest of the logic, mathematics and set theorythe quantifiers are symbols that are used in the aforementioned contexts to be able to indicate how many or the types of elements that make up a given set and that comply with a certain property.
Logic and mathematics: symbols that indicate how many elements make up a set
We can find a variety of quantifiers, although, among the most used are: universal quantifier and existential quantifier.
Universal quantifier and existential quantifier
The universal quantifier, which is symbolized like this: ∀, is used with the mission of establishing that all the elements of a set comply with a given property.
For its part, the existential quantifier will be used to indicate that there are one or more elements in the set in question that comply with a certain property.
It should be noted that this word is closely related to another concept, that of quantifywhich implies an action that is that of state an amount.
Quantitative: that which is plausible to be average, counted
So, from this it can be deduced that both concepts are linked to the quantitative which implies the indication of a magnitude from numbers.
Precisely when one speaks in terms of quantitative, one will be referring to quantity, to what is plausible to be measured or quantified, counted.
Generally, the investigations, the analyzes that almost always consider possible data to be measured with the mission of determining solid statistics, tend to work in this sense of the quantitative.
Gain in precision and certainty
For example, and as we saw lines above in the field of exact and natural sciences, quantification is highly used for its precision at the time of conclusions and, based on this, for the reliability generated by being able to formulate laws, universal theories. certain.
It is even possible to carry out a quantitative analysis of something before actually carrying out the corresponding scientific study with the objective of being able to organize the data that will be submitted to analysis, this measure being highly recommended since knowledge and certainty will be gained towards the end of the work, being able to link variables, propose working hypotheses and finally reach conclusions.
But we must also extend the action of the quantitative to the social plane, since this procedure is used to determine the tastes and interests of consumers, or arrive at close numbers in terms of electoral decisions in the face of an election.
On the other hand, we can find qualitative analysis, also well known and used but which consists of taking a position or setting an assessment regarding a subject, although of course, in this case the conclusions will not be valid. total as in the quantitative method.
Common use in everyday life, we always need to quantify something…
Whenever something is quantified, the situation in question will be put in numbers, a fact that sometimes allows us to know the magnitude or scope that this situation may have.
Thus, for example, when it is said that a chain car crash left 10 dead and 20 injured, it allows us to know that it was a really important and high-impact accident because there were precisely several victims.
Quantification is a hyper-present activity in our daily life as well as in science or in the social field that we have already opportunely addressed in this review, it not only allows us to know the scope of a given event but also allows us to request a certain amount of something in order not to acquire something in excess, or failing that later we lack something and prevent us from carrying out that task or planned action.
So it is that we are constantly quantifying various things and elements in our daily lives: problems, needs, tasks, among others, and that then returns to the certainly domestic and current term beyond the formal explanations that we have commented on in regard to it in the fields. of logic and mathematics.