Logic-is This Considered A Contradictory Statement

Logic is typically defined as a formalized system for constructing, manipulating, and determining the meaning of statements within the system. There are many logic systems ( Mathematical logic ), so answering a logic question requires knowing which system is in use at the time. Many logic systems define rules about the form and meaning of valid or proper statements constructed using the system. Often self-contradictory or self-referential statements such as "This statement is false" are considered invalid, improper, or meaningless statements. Think of a logic system as a vending machine and a statement as a coin. To a US vending machine a German coin is "invalid, improper, or meaningless" and is rejected as anything it can deal with. To a German vending machine the German coin may be accepted as a "valid statement" and thus have "meaning".Self-contradictory things are usually not allowed within math and logic because the rules of such a system tend to make all proper statements self-contradictory once one proper statement is self-contradictory. There is not much usefulness to a system where everything is self-contradictory.Outside of math and logic there are systems where seemingly self-contradictory things are perfectly valid and logical within that system. Quantum mechanics is one such system. In the quantum mechanical world a particle may be simultaneously in a "superposition" of two (or more) mutually exclusive states of being. For instance, an electron may be described properly as being both "here" and "there" at the same instant of time. In classical Newtonian physics this would be considered impossible and a useless piece of information.

It’s because contradiction comes from logic. Nature or the universe has no contradictions as everything within is unique and different from one another. We’re all unique and unequal, just like stars from one another in the cosmos and electrons from one another in the invisible world.Logic is human construct to study nature in abstract, dead patterns and similarities. It’s bound to be contradictory as it’s against the way of nature. In fact, logic is an archetypal way of thinking, same as mathematics that is considered as the language of the universe. Math is built on logic, hence we often see contradictions in math theories. You can spend your career in understanding Gödel's incompleteness theorems - Wikipedia or read a short answer to understand the limitation of logic and human intelligence - Jian Sun's answer to What in layman's terms is Russell's Paradox?

The answer is that The Stanford Enycyclopedia of Philosphy indicates:=================================="Aristotle (b. 384 - d. 322 BCE), was a Greek philosopher,logician, and scientist. Along with his teacher Plato,Aristotle is generally regarded as one of the most influentialancient thinkers in a number of philosophical fields,including political theory. “In another article, Stanford indicates:“"1 There is a very long tradition from the fourth century B.C.to the nineteenth century, in which the logic of Aristotle was studied,commented on, criticized at times, though never dethroned,the logic which dominated western thought until the twentieth century.It is this we call "Aristotelian Logic".That logic regarded as a science is appropriately definedby Kant in these words:"Logic is ... a science a priori of the necessary laws of thinking,not, however, in respect of particular objects but all objects in general:it is a science, therefore, of the right use of the understandingand of reason as such, not subjectively,i.e. not according to empirical (psychological) principlesof how the understanding thinks, but objectively,i.e. according to a priori principles of how it ought to think."------------- Immanuel Kant, Logic(trans. Robert Hartman and Wolfgang Schwarz),Indianapolis, 1974, 18.”.."2 In the development of Aristotelian logic, these necessary laws of thought are derived by reference to thought itself as it expresses being and non-being.THREE LAWSThere are three very general principles commonly calledthe Laws (or Principles) of Thought which specify what it isto think of something scientifically:(1) the Principle of Identity, which requires that the object must bethought as having an immutable nature (A is A)(2) the Principle of Contradiction, where it cannot be thoughtas at once having a certain character and not having that character(A cannot be B and not B)(3) and the Principle of Excluded Middle, where it either has that character or property or does not have it (A is either B or not B)."---cited fromFloy E. Andrews @ http://www.mun.ca/animus/1996vol...============================================.