What does the law of non-contradiction state?
In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "p is the case" and "p is not the case" ...
the law of noncontradiction, which states that contradictory propositions cannot both be true at the same time and in the same sense.
If a word has two meanings that do not combine to form one, the statement itself is not one. For example, if you call a horse and a man “garment,” it follows that “the garment is white” would be not one, but two statements, and that “the garment is not white” would not be denial, but two.
The Law of Non-Contradiction (hereafter, "the Law"), intuitively understood as a prohibition on the truth of a contradiction, is often expressed propositionally as ¬ (P∧¬ P).
What is the Law of Non-contradiction? The Law of Non-contradiction is that a statement CAN'T be both true and false at the same time and in the same sense.
The law of non-contradiction is one of the three fundamental laws of logic, and is stated thus: A statement cannot be true and false. A statement can either be false, or it can be true: there is nothing between. If a statement does not accurately reflect reality, then it is false.
The Principle of Non-Contradiction and Action
Aristotle notes that even if the opponent fails to speak, she must still act, and if she acts in a certain way, that shows that she thinks that things in the world are one way rather than another, and that some courses of action are better than others.
: not contradictory : not involving, causing, or being a contradiction. a noncontradictory reply. two pieces of noncontradictory information.
A contradiction is a situation or ideas in opposition to one another. Declaring publicly that you are an environmentalist but never remembering to take out the recycling is an example of a contradiction. A "contradiction in terms" is a common phrase used to describe a statement that contains opposing ideas.
: a principle in logic: a thing cannot at the same time both be and not be of a specified kind (as a table and not a table) or in a specified manner (as red or not red)
What are the three types of contradiction?
There are three kinds of contradictions in TRIZ (Altshuller 1999; Rousselot et al. 2012), administrative, technical, and physical contradiction.
A value contradiction could be based on a difference in how people rank the value of things, or on fundamental value conflict. For example, although sharing a set of common values, such as hockey is better than baseball or ice cream is better than fruit, two different parties might not rank those values equally.

Aristotle proposed there were three principles used in making an argument: ethos, pathos, and logos. His proposal was based on three types of appeal: an ethical appeal or ethos, an emotional appeal, or pathos, and a logical appeal or logos. For Aristotle, a good argument would contain all three.
The Law of Identity states that when something is true it is identical to itself and nothing else, S = S. The Law of Non-Contradiction states that when something is true it cannot be false at the same time, S does not = P.
That's why it's called the law of excluded middle, because it excludes a middle ground between truth and falsity. So while the law of non-contradiction tells us that no statement can be both true and false, the law of excluded middle tells us that they must all be one or the other.
Aristotle gave seven arguments for the law of non-contradiction. The first one is against a special case of dialetheism, the view that only some contradictions are true, and other six arguments are mostly against trivialism, the view that everything and consequently every contraction is true.
laws of thought, traditionally, the three fundamental laws of logic: (1) the law of contradiction, (2) the law of excluded middle (or third), and (3) the principle of identity.
Engels said, "Motion itself is a contradiction." [5] Lenin defined the law of the unity of opposites as "the recognition (discovery) of the contradictory, mutually exclusive, opposite tendencies in all phenomena and processes of nature (including mind and society)".
The principle of noncontradiction is a principle that builds specific logical methodology. We can and there are logical methodologies where non-contradiction is violated. For example, in quantum computing logic, contrary propositions can exist (a qbit can be both true and false at the same time).
She breaks down three main arguments against Aristotle: that a single problem does not have a single solution, that people experience different spheres of experience and life, and that what looks like virtues are actually just adaptations to bad things in the world.
What is the law of contradiction logic?
The law of contradictories is such that if one contradictory is true the other is false and vice versa, for nothing can be simultaneously true and false. Each contradictory is equivalent to (entails and is entailed by) the negation of the other.
: a principle in logic: a thing cannot at the same time both be and not be of a specified kind (as a table and not a table) or in a specified manner (as red or not red)
In dialectical materialism, contradiction, as derived by Karl Marx, usually refers to an opposition of social forces. This concept is one of the three main points of Marxism. Mao held that capitalism is internally contradictory because different social classes have conflicting collective goals.
Contradiction is when the things said by the two sources cannot both be true: one has to be wrong. For example. If one source said that Germany won World War One and another source said that Britain won World War One, they clearly cannot both be right. One of the sources has to be wrong.
The law of contradictories is such that if one contradictory is true the other is false and vice versa, for nothing can be simultaneously true and false. Each contradictory is equivalent to (entails and is entailed by) the negation of the other.
A contradictory statement is one that says two things that cannot both be true. An example: My sister is jealous of me because I'm an only child. Contradictory is related to the verb contradict, which means to say or do the opposite, and contrary, which means to take an opposite view.
A contradiction is a situation or ideas in opposition to one another. Declaring publicly that you are an environmentalist but never remembering to take out the recycling is an example of a contradiction. A "contradiction in terms" is a common phrase used to describe a statement that contains opposing ideas.
: a phrase that contains words which have very different or opposite meanings. I think "working vacation" is a contradiction in terms.
The first contradiction strikes at capital from the demand side. When individual capitals lower costs with the aim of defending or restoring profits, the unintended effect is to reduce market demand for commodities, and lower realized profits. The second contradiction strikes from the cost side.
Marx built his critical analysis of the contradictions of capitalist society on his premises about human potential, its relation to labor, and its potential for alienation under capitalism. He believed that there was a real contradiction between our human potential and the way that we must work in capitalist society.