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Possibility is the scarce occurrence of a phenomenon Probability is a greater approximation to the possible prediction in mathematical terms The non-Occurrence of a phenomenon is th...

I think that "probability" is a mathematical term, where "possibility" is not. There isn't much more to it.

Probability can be infinitesimally small or even zero, and one can express it as 1-p, when necessary. There's nothing to suggest "probability," as a mathematical term, implies a small or a large value.

I would say that in common, non-mathematically-rigorous parlance, the term "probable" implies a non-deterministic event in which the probability of occurrence is greater than 0.5. Whereas the term "possible" is often used to mean the event might occasionally occur, but not most of the time.

Just to be sure I'm not missing anything profound, see this (which I have to say, I do not find very compelling):

http://www.differencebetween.com/difference-between-probability-and-vs-possibility/

Dear Goli Srinivasarao and Goli Srinivasarao

Thank you for starting this network of discussion and argumentation about Probability and Possibility.

It seems a simple question, but as we go into the meaning of the terms and their application in different fields of life, the situation is changing and according to the perspective the panorama is broadened or narrowed, delimiting better our conception.

The document proposed in the previous league is very illustrative of how the terms are linked and used in both the colloquial natural language as well as the technical and scientific language.

Both terms "Possibility and Probability" remain to the same semantic field:

• Probability is the circumstance that "something" happens or is likely (circular definition), but also is understood as the mathematical calculation of the possibilities that exist that a thing or phenomenon happen or are randomly verified.
• Possibility, is "something", as a certain phenomenon or event, that can happen and therefore exist.
• As we can see, Possibility is a larger but less delimited semantic field; While Probability is a smaller semantic field belonging to the semantic field of Possibility, but better delimited and susceptible for the same. To be qualified and quantified.

In a similar way as the semantic fields are handled, we can also extrapolate the aforementioned to the "Field Theory", where phenomena such as forces and vectors, interaction or separation of phenomena, power or antagonism are studied and described in mathematical language of forces and vectors, etc.

• If we denote Possibility as A and Probability as B; In this simile, A is the whole and B the part
• Following the same example, in scientific research, A is the population or universe to be studied, and B is the part of the universe, already selected, delimited and characterized to perform a study, that is, B is the study sample, susceptible of measuring and quantifying phenomena in simple or statistical mathematical form.

However, even knowing the above, the question follows. At what point does possibility become probability?

Sufficient elements for the answer and on Probability Theory, can be found in:

Https://en.wikipedia.org/wiki/Probability

Thank you!

Jose Luis

Estimados Goli Srinivasarao y Goli Srinivasarao

Gracias por iniciar esta red de discusión y argumentación respecto de la Probabilidad y la Posibilidad.

Parece una pregunta simple, pero conforme nos adentramos en el significado de los términos y su aplicación en diferentes campos de la vida, la situación va cambiando y de acuerdo a la perspectiva el panorama se amplia o se acota, delimitando mejor nuestra concepción.

El documento propuesto en la liga anterior es muy ilustrativo de como se enlazan y utilizan los términos tanto en el lenguaje natural coloquial, como en el técnico y científico.

Ambos términos "Posibilidad y Probabilidad" permanecen al mismo campo semántico:

• Probabilidad, es la circunstancia de que"algo" suceda o sea probable (definición circular), pero también se entiende como el cálculo matemático de las posibilidades que existen de que una cosa o fenómeno sucedan o se verifiquen al azar.
• Posibilidad, es "algo" como cierto fenómeno o acontecimiento, que puede suceder y por tanto existir.
• Como se puede observar, Posibilidad es un campo semántico mayor pero menos delimitado; en tanto que la Probabilidad es un campo semántico menor perteneciente al campo semántico de la Posibilidad, pero mejor delimitado y susceptible por lo mismo. de ser calificado y cuantificado.

En forma parecida a como se manejan los campos semánticos, también se puede extrapolar lo antes dicho a la "Teoría de Campos", donde se estudian y describen en lenguaje matemático fenómenos como las fuerzas y vectores, interacción o separación de fenómenos, potencia o antagonismo de fuerzas y vectores, etc.

• Si denotamos Posibilidad como A y Probabilidad como B; en este símil, A es el todo y B la parte 
• Siguiendo con el mismo ejemplo, en investigación científica,  A es la población o universo a estudiar, y B es es la parte del universo, ya seleccionada, delimitada y caracterizada para realizar un estudio, esto es, B es la muestra de estudio, susceptible de medir y cuantificar los fenómenos en forma matemática simple o estadística.

Sin embargo, aún conociendo lo anterior, sigue la cuestión ¿En que momento la posibilidad se convierte en probabilidad?

Elementos suficientes para la respuesta y sobre la Teoría de la Probabilidad,  la pueden encontrar en:

https://en.wikipedia.org/wiki/Probability

Saludos

José Luis

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