CBSE BOARD XII, asked by abigirl96, 1 year ago

what is identity law​

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Answered by sasir2000
2

Answer:

In logic, the law of identity states that each thing is identical with itself. It is the first of the three laws of thought, along with the law of noncontradiction, and the law of excluded middle.

Explanation:

In logic, the law of identity states that each thing is identical with itself. It is the first of the three laws of thought, along with the law of noncontradiction, and the law of excluded middle. However, no system of logic is built on just these laws, and none of these laws provide inference rules, such as modus ponens or DeMorgan's Laws.

In its formal representation, the law of identity is written "a = a" or "For all x: x = x", where a or x refer to a term rather than a proposition, and thus the law of identity is not used in propositional logic. It is that which is expressed by the equals sign "=", the notion of identity or equality. It can also be written less formally as A is A. One statement of such a principle is "Rose is a rose is a rose is a rose."

In logical discourse, violations of the law of identity result in the informal logical fallacy known as equivocation.[1] That is to say, we cannot use the same term in the same discourse while having it signify different senses or meanings and introducing ambiguity into the discourse – even though the different meanings are conventionally prescribed to that term. The law of identity also allows for substitution, and is a tautology.

Answered by palak12139
1

Heya mate,

In logic, law of identity states that each thing is identical with itself. It is the first law of the three laws of thought, along with the law of non contradiction, and the law of excluded middle. In logic discourse, violations of the law of identity result in the informal logical fallacy known as equivocation.

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