What is the essence of Morgan’s Law? Does this law manifest itself in the plant world?

What is the essence of Morgan’s Law? Does this law manifest itself in the plant world? In the animal world? In human society?

De Morgan’s law is a general name for logical laws that connect conjunction (“and”) and disjunction (“or”) through negation. Named after the English logician of the 19th century. A. de. Morgana. One of these laws can be expressed as follows: the negation of a conjunction is equivalent to a disjunction of negations. For example: “It is not true that tomorrow it will be cold and tomorrow it will be rainy, if and only if tomorrow is not cold or tomorrow it will not be rainy.” Another law: negation of disjunction is equivalent to conjunction of negations. For example: “It is not true that a student knows arithmetic or knows geometry, then and only then he does not know either arithmetic or geometry.” In the terms of logical symbolism (p, q – some statements; & – conjunction; v – disjunction; ~ – negation, “it is not true that”; = – equivalence, “if and only if”) these two laws are represented by the formulas: ~ (p & q) = (~ pv ~ q), it is not true that p and q if and only if p is not true and q is not true; ~ (p v q) = (~ p & q), it is not true that either p or q if and only if p is not true and q is not true. On the basis of these laws, using negation, the conjunction “and” can be defined through “or” and vice versa: “p and q means” What is not true – p or not or not – q, “p or q” means “It is not true that is not p and not – q “. For example, “It is raining and it is snowing” means “It is not true that there is no rain or no snow”; “Today is cold or damp” means that today “It is not true that today is not cold or damp.”



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