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 MENTAL, a Naive Language


MENTAL, a Naive Language
 MENTAL, A
NAIVE LANGUAGE

"Dare to be naive" (Buckminster Fuller).

"Naive realism is the starting point of all the sciences, especially the natural sciences" (Einstein).

"For consciousness, the existence of appearance is reality" (John Searle).

"All science is nothing more than the refinement of everyday thought" (Eistein).



The Naive Attitude

The naive attitude is an innocent, simple, direct attitude, without a priori conceptions, which seeks the essence of things, the most natural and intuitive explanation or foundation. This attitude leads to the truth, to the conscience and to the deep, where simplicity, power and wisdom reside.

Characteristics of the naive attitude: The naive attitude is different from Occam's razor principle. The naive attitude is an a priori attitude, where one accepts the intuitive, the most direct thing that comes to mind, without analyzing it. It seeks synthesis, consciousness, the fundamental, the simple, not analysis. The simplest is the most fundamental. In contrast, the principle of Occam's razor requires examining and analyzing all possible alternatives, and then choosing the simplest, a posteriori.


Naive realism

Naive realism, also known as direct realism, is a philosophy of mind that asserts that things exist independently of consciousness and that they are exactly as we perceive them and as we conceive them. It does not even consider the possibility of an alternative or different reality. The subject is considered a faithful reflection of the external world and is merely passive. This realism is typical of the child, the primitive man and the common man who accept what they see, without discussion. Naive physics is an intuitive understanding that all humans have about objects in the physical world. This type of physics, however, is only valid for the macroscopic world, because quantum physics defies common sense, since properties depend on the way we observe them. Bertrand Russell, in his work "Meaning and Truth" [1983], states:
Searle and naive realism

John Searle −philosopher of language, mind, and consciousness− is a strong advocate of naive realism: Searle rejects idealist theories, such as representational and phenomenalist idealism.


Naive mathematics

Naive mathematics, also called informal or intuitive mathematics, has historically been the primary form of mathematical endeavor of all times and in all cultures, and has been the subject of the ethno-cultural study of mathematics. Formal mathematics, on the other hand: An example is the concept of group (or aggregate or grouping), which is a fundamental and primary concept in all cultures. Naive set theory can be considered as a first approach to this field and is sufficient for many purposes. In this sense, Paul Halmos' book "Naive Set Theory" is considered to be the best introduction to naive set theory, where "naive" really means "concept-based", without axioms.

The first naive set theory was Cantor's. It was labeled "naive" because it was later found to lead to paradoxes, such as Russell's paradox.

All fields of mathematics can also be approached naively. Thus, in addition to naive set theory, we can speak of naive logic, naive arithmetic, naive algebra, etc., which try to rely on simple, intuitive and straightforward concepts. For example, naive logic could be a logic based on a single primitive and its converse.

Therefore, a naive mathematics is more powerful, efficient, and creative than conventional formal mathematics.


MENTAL as Naive Language

The ideas of set and set membership are primary and intuitive concepts. There is nothing mysterious or problematic about them. Unfortunately, they have become problematic, convoluted, and difficult in the hands of mathematicians and logicians. It is time to return directly to the concepts, as they are, without modifying or distorting them, avoiding all unnecessary complexity. This is the naive point of view, the MENTAL point of view.

Addenda

The term "naive"

From Latin, "ingenuus", meaning "natural", "pure", "unaltered". In turn, "ingenuus" comes from "gignere", meaning "to beget" or "to generate". With the prefix "in" it indicated "born within" the Roman Empire, the free-born men, the citizens of the empire.

In the time of the philosopher Cicero (1st century B.C.) the meaning of this word was extended to qualify an honest and upright man.

The poet Lucretius used the expression "ingenuus fontes" to refer to "limpid springs" and, a few years later, the historian Titus Livius expressed: "nihil ultra quam ingenui" (nothing more than ingenuity).

In texts of King Alfonso X the Wise, the term "ingenuous" still retained that meaning, but at some point the sense of "honest" gave way to the current denotation of "candid" or 'innocent'.


The "naive realism" of Julio Palacios

Julio Palacios was one of the leading Spanish physicists of the 20th century. He rejected Einsteinian relativity on the basis of his philosophical interpretation of physics, which he called "naive realism". Palacios applied a penetrating kind of common sense, which lent an extraordinary clarity to his ideas. He constructed an alternative theory of Relativity, in which he arrived at the same formulas as Einstein, but saving the Newtonian conceptions of space and time and avoiding paradoxes. According to Palacios, the paradoxes disappear if the Lorentz equations are dispensed with, that is, the postulate of the equivalence of all inertial systems is abandoned.


Bibliography