Law of identity - Revision history

Conservative at 21:13, March 3, 2019

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Conservative at 21:07, March 3, 2019

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Conservative at 21:05, March 3, 2019

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Conservative at 20:39, March 3, 2019

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Conservative at 20:33, March 3, 2019

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Conservative at 20:30, March 3, 2019

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 ''[[Encyclopedia Britannica]]'' declares:
 :"Laws of thought, traditionally, the three fundamental laws of [[logic]]: (1) the [[Law of Non-Contradiction|law of contradiction]], (2) the [[Law of the excluded middle|law of excluded middle]] (or third), and (3) the principle of identity. That is, (1) for all propositions p, it is impossible for both p and not p to be true, or symbolically ∼(p · ∼p), in which ∼ means “not” and · means “and”; (2) either p or ∼p must be true, there being no third or middle true proposition between them, or symbolically p ∨ ∼p, in which ∨ means “or”; and (3) if a propositional function F is true of an individual variable x, then F is indeed true of x, or symbolically F(x) ⊃ F(x), in which ⊃ means “formally implies.” Another formulation of the principle of identity asserts that a thing is identical with itself, or (∀x) (x = x), in which ∀ means “for every”; or simply that x is x."<ref>[https://www.britannica.com/topic/laws-of-thought Laws of Thought], Encyclopedia Britannica</ref>
 ==References==
 <references/>
 [[Category: Logic]]

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 The law of identity states that if a statement has been determined to be true, then the statement is true. For example, if I make a statement that 'It is snowing,' and it is the truth, then the statement must be true. If we look at the law of identity in more general terms, it says that each thing that exists is made up of its own particular characteristics that are a part of what it is.
-When you apply this to logic, the law of identity essentially means that everything is itself and it cannot be something else. Snow cannot be clouds, and water cannot be a pole. Each thing is something specific that has a particular identity. So when I say that it is snowing, snowing refers to a particular event. Given that 'snowing' refers to a specific thing, if I make this statement while it is actually snowing, then it must be a true statement.
+When you apply this to logic, the law of identity essentially means that everything is itself and it cannot be something else. Snow cannot be clouds, and water cannot be a pole. Each thing is something specific that has a particular identity. So when I say that it is snowing, snowing refers to a particular event. Given that 'snowing' refers to a specific thing, if I make this statement while it is actually snowing, then it must be a true statement.<ref>[https://study.com/academy/lesson/the-three-laws-of-logic.html The Three Laws of Logic], Study.com</ref>}}
 ''[[Encyclopedia Britannica]]'' declares:

← Older revision		Revision as of 21:05, March 3, 2019
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	Identity is the concept that refers to this aspect of existence; the aspect of existing as something in particular, with specific characteristics. An entity without an identity cannot exist because it would be nothing. To exist is to exist as something, and that means to exist with a particular identity.<ref>[http://www.importanceofphilosophy.com/Metaphysics_Identity.html A is A: Aristotle's Law of Identity]</ref>}}		Identity is the concept that refers to this aspect of existence; the aspect of existing as something in particular, with specific characteristics. An entity without an identity cannot exist because it would be nothing. To exist is to exist as something, and that means to exist with a particular identity.<ref>[http://www.importanceofphilosophy.com/Metaphysics_Identity.html A is A: Aristotle's Law of Identity]</ref>}}
		+
		+	Study.com indicates about the law of identity:
		+	{{Cquote\|Law of Identity: X is X
		+
		+	The law of identity states that if a statement has been determined to be true, then the statement is true. For example, if I make a statement that 'It is snowing,' and it is the truth, then the statement must be true. If we look at the law of identity in more general terms, it says that each thing that exists is made up of its own particular characteristics that are a part of what it is.
		+
		+	When you apply this to logic, the law of identity essentially means that everything is itself and it cannot be something else. Snow cannot be clouds, and water cannot be a pole. Each thing is something specific that has a particular identity. So when I say that it is snowing, snowing refers to a particular event. Given that 'snowing' refers to a specific thing, if I make this statement while it is actually snowing, then it must be a true statement.
		+	Law of Non-Contradiction: X is not non-X.<ref>[https://study.com/academy/lesson/the-three-laws-of-logic.html The Three Laws of Logic], Study.com</ref>}}

	''[[Encyclopedia Britannica]]'' declares:		''[[Encyclopedia Britannica]]'' declares:

@@ Line 6: / Line 6: @@
 ''[[Encyclopedia Britannica]]'' declares:
-:"Laws of thought, traditionally, the three fundamental laws of logic: (1) the [[Law of Non-Contradiction|law of contradiction]], (2) the [[Law of the excluded middle|law of excluded middle]] (or third), and (3) the principle of identity. That is, (1) for all propositions p, it is impossible for both p and not p to be true, or symbolically ∼(p · ∼p), in which ∼ means “not” and · means “and”; (2) either p or ∼p must be true, there being no third or middle true proposition between them, or symbolically p ∨ ∼p, in which ∨ means “or”; and (3) if a propositional function F is true of an individual variable x, then F is indeed true of x, or symbolically F(x) ⊃ F(x), in which ⊃ means “formally implies.” Another formulation of the principle of identity asserts that a thing is identical with itself, or (∀x) (x = x), in which ∀ means “for every”; or simply that x is x."<ref>[https://www.britannica.com/topic/laws-of-thought Laws of Thought], Encyclopedia Britannica</ref>
+:"Laws of thought, traditionally, the three fundamental laws of [[logic]]: (1) the [[Law of Non-Contradiction|law of contradiction]], (2) the [[Law of the excluded middle|law of excluded middle]] (or third), and (3) the principle of identity. That is, (1) for all propositions p, it is impossible for both p and not p to be true, or symbolically ∼(p · ∼p), in which ∼ means “not” and · means “and”; (2) either p or ∼p must be true, there being no third or middle true proposition between them, or symbolically p ∨ ∼p, in which ∨ means “or”; and (3) if a propositional function F is true of an individual variable x, then F is indeed true of x, or symbolically F(x) ⊃ F(x), in which ⊃ means “formally implies.” Another formulation of the principle of identity asserts that a thing is identical with itself, or (∀x) (x = x), in which ∀ means “for every”; or simply that x is x."<ref>[https://www.britannica.com/topic/laws-of-thought Laws of Thought], Encyclopedia Britannica</ref>
 ==References==
 <references/>
 [[Category: Logic]]

@@ Line 6: / Line 6: @@
 ''[[Encyclopedia Britannica]]'' declares:
-:"Laws of thought, traditionally, the three fundamental laws of logic: (1) the [[Law of Non-Contradiction|law of contradiction]], (2) the law of excluded middle (or third), and (3) the principle of identity. That is, (1) for all propositions p, it is impossible for both p and not p to be true, or symbolically ∼(p · ∼p), in which ∼ means “not” and · means “and”; (2) either p or ∼p must be true, there being no third or middle true proposition between them, or symbolically p ∨ ∼p, in which ∨ means “or”; and (3) if a propositional function F is true of an individual variable x, then F is indeed true of x, or symbolically F(x) ⊃ F(x), in which ⊃ means “formally implies.” Another formulation of the principle of identity asserts that a thing is identical with itself, or (∀x) (x = x), in which ∀ means “for every”; or simply that x is x."<ref>[https://www.britannica.com/topic/laws-of-thought Laws of Thought], Encyclopedia Britannica</ref>
+:"Laws of thought, traditionally, the three fundamental laws of logic: (1) the [[Law of Non-Contradiction|law of contradiction]], (2) the [[Law of the excluded middle|law of excluded middle]] (or third), and (3) the principle of identity. That is, (1) for all propositions p, it is impossible for both p and not p to be true, or symbolically ∼(p · ∼p), in which ∼ means “not” and · means “and”; (2) either p or ∼p must be true, there being no third or middle true proposition between them, or symbolically p ∨ ∼p, in which ∨ means “or”; and (3) if a propositional function F is true of an individual variable x, then F is indeed true of x, or symbolically F(x) ⊃ F(x), in which ⊃ means “formally implies.” Another formulation of the principle of identity asserts that a thing is identical with itself, or (∀x) (x = x), in which ∀ means “for every”; or simply that x is x."<ref>[https://www.britannica.com/topic/laws-of-thought Laws of Thought], Encyclopedia Britannica</ref>
 ==References==
 <references/>
 [[Category: Logic]]

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	==References==		==References==
	<references/>		<references/>
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		+	[[Category: Logic]]

← Older revision		Revision as of 20:29, March 3, 2019
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	Identity is the concept that refers to this aspect of existence; the aspect of existing as something in particular, with specific characteristics. An entity without an identity cannot exist because it would be nothing. To exist is to exist as something, and that means to exist with a particular identity.<ref>[http://www.importanceofphilosophy.com/Metaphysics_Identity.html A is A: Aristotle's Law of Identity]</ref>}}		Identity is the concept that refers to this aspect of existence; the aspect of existing as something in particular, with specific characteristics. An entity without an identity cannot exist because it would be nothing. To exist is to exist as something, and that means to exist with a particular identity.<ref>[http://www.importanceofphilosophy.com/Metaphysics_Identity.html A is A: Aristotle's Law of Identity]</ref>}}
		+	==References==
		+	<references/>