Quantity - Revision history

Lfox at 03:44, 4 February 2025

2025-02-04T03:44:28Z

← Older revision		Revision as of 03:44, 4 February 2025
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	'''Number''' is the basically the same concept as quantity. There is, however, a difference in emphasis between these two concepts. Quantity emphasizes the existence part, number emphasizes the consciousness part. Animals can perceive quantity, but only humans can perceive number.		'''Number''' is the basically the same concept as quantity. There is, however, a difference in emphasis between these two concepts. Quantity emphasizes the existence part, number emphasizes the consciousness part. Animals can perceive quantity, but only humans can perceive number.

			Harry's definition of number: "an identification of a quantity by means of a symbol whose position in a fixed sequence of those symbols is the same amount as what you are identifying."

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]

Lfox at 01:41, 2 July 2024

2024-07-02T01:41:35Z

← Older revision		Revision as of 01:41, 2 July 2024
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	"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.		"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.

	'''Number''' is the basically the same concept as quantity. There is, however, a difference in emphasis between these two concepts. Quantity emphasizes the existence part, number emphasizes the consciousness part.		'''Number''' is the basically the same concept as quantity. There is, however, a difference in emphasis between these two concepts. Quantity emphasizes the existence part, number emphasizes the consciousness part. Animals can perceive quantity, but only humans can perceive number.

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]

Lfox at 01:41, 2 July 2024

2024-07-02T01:41:00Z

← Older revision		Revision as of 01:41, 2 July 2024
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	When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.		When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.

	Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [~~TODO really? think about it~~].		Quantity is perhaps the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] and [[identity]] and [[set]].

	We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a ''multitude'', when there is some restriction on how it could be divided into parts. A quantity is said to be a ''magnitude'', when there is no restriction on how it could be divided into parts.<ref>Aristotle, ''Metaphysics'', Book V, Ch. 11-14 </ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.		We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a ''multitude'', when there is some restriction on how it could be divided into parts. A quantity is said to be a ''magnitude'', when there is no restriction on how it could be divided into parts.<ref>Aristotle, ''Metaphysics'', Book V, Ch. 11-14 </ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.
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	"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.		"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.

	'''Number''' is the concept ~~which measures~~ quantity.		'''Number''' is the basically the same concept as quantity. There is, however, a difference in emphasis between these two concepts. Quantity emphasizes the existence part, number emphasizes the consciousness part.

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]

Lfox at 02:57, 11 February 2024

2024-02-11T02:57:45Z

← Older revision		Revision as of 02:57, 11 February 2024
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	[TODO under construction]		[TODO under construction]

	'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.		"'''Quantity'''" is a concept identifying an irreducible primary attribute of [[Existent\|existents]], and therefore it admits only an ostensive definition.

	When one says that there is ''more'' or ''as much'' or ''less'' of A than there is of B, he is comparing the quantity of A to the quantity of B.		When one says that there is ''more'' or ''as much'' or ''less'' of A than there is of B, he is comparing the quantity of A to the quantity of B.

Lfox: /* References */

2024-01-25T23:46:29Z

References

← Older revision		Revision as of 23:46, 25 January 2024
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	Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].		Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].

	We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a ''multitude'', when there is some restriction on how it could be divided into parts. A quantity is said to be a ''magnitude'', when there is no restriction on how it could be divided into parts.<ref>~~[TODO I got these from~~ Aristotle, ''Metaphysics'', Book V, Ch. 11-14 ]</ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.		We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a ''multitude'', when there is some restriction on how it could be divided into parts. A quantity is said to be a ''magnitude'', when there is no restriction on how it could be divided into parts.<ref>Aristotle, ''Metaphysics'', Book V, Ch. 11-14 </ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.

	"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.		"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.

Lfox at 06:19, 24 January 2024

2024-01-24T06:19:33Z

← Older revision		Revision as of 06:19, 24 January 2024
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	"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.		"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.

	Number is the concept which measures quantity.		'''Number''' is the concept which measures quantity.

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]

Lfox at 00:46, 22 January 2024

2024-01-22T00:46:32Z

← Older revision		Revision as of 00:46, 22 January 2024
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	'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.		'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.

	When one says ~~of A~~ that there is ''more'' or ''as much'' or ''less'' than there is of B, he is comparing the quantity of A to the quantity of B.		When one says that there is ''more'' or ''as much'' or ''less'' of A than there is of B, he is comparing the quantity of A to the quantity of B.

	When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.		When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.
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	Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].		Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].

	We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a multitude, when there is some restriction on how it could be divided into parts. A quantity is said to be a magnitude, when there is no restriction on how it could be divided into parts.<ref>[TODO I got these from Aristotle, ''Metaphysics'', Book V, Ch. 11-14 ]</ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.		We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a ''multitude'', when there is some restriction on how it could be divided into parts. A quantity is said to be a ''magnitude'', when there is no restriction on how it could be divided into parts.<ref>[TODO I got these from Aristotle, ''Metaphysics'', Book V, Ch. 11-14 ]</ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.

			"Few" and "many" describe multitudes; "less" and "more" describe magnitudes.

	Number is the concept which measures quantity.		Number is the concept which measures quantity.

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [~~todo~~ what about like differences, or <math>\sqrt{2}</math>? ~~don~~'t both of those things also measure quantity?]		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [TODO that's not exactly right. Like what about like differences, or <math>\sqrt{2}</math>? Don't both of those things also measure quantity?]

	== Examples ==		== Examples ==

Lfox at 00:26, 22 January 2024

2024-01-22T00:26:22Z

← Older revision		Revision as of 00:26, 22 January 2024
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	'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.		'''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.

	When one says that there is ''more'' or ''as much'' or ''less'' ~~of A~~ than there is of B, he is comparing the quantity of A to the quantity of B.		When one says of A that there is ''more'' or ''as much'' or ''less'' than there is of B, he is comparing the quantity of A to the quantity of B.

	When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.		When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.

Lfox at 00:25, 22 January 2024

2024-01-22T00:25:23Z

← Older revision		Revision as of 00:25, 22 January 2024
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	Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].		Quantity is the most fundamental concept of math. Other concepts almost as fundamental are [[shape]] and [[likelihood]] [TODO really? think about it].

	We observe that quantity comes in two forms.		We observe that quantity comes in two forms: multitudes and magnitudes. A quantity is said to be a multitude, when there is some restriction on how it could be divided into parts. A quantity is said to be a magnitude, when there is no restriction on how it could be divided into parts.<ref>[TODO I got these from Aristotle, ''Metaphysics'', Book V, Ch. 11-14 ]</ref> In Objective Mathematics, the notion of a "continuous quantity" is used interchangeably with magnitude, and the notion of "discrete quantity" is used interchangeably with multitude.

	~~There are quantities which are discrete, where there~~ is ~~some restriction on~~ which ~~values it is possible for them to take~~.		Number is the concept which measures quantity.

	~~There are quantities which are continuous, where there is no restriction on which values it is possible for them to take.~~		Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]]. [todo what about like differences, or <math>\sqrt{2}</math>? don't both of those things also measure quantity?]

	~~Number is the concept which measure quantity.~~

	~~Discrete <-> multitude~~

	~~Continuous <-> magnitude~~

	Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[Fractions\|fractional numbers]].

	== Examples ==		== Examples ==
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	The distance to the sun		The distance to the sun

			== References ==

Lfox at 00:08, 22 January 2024

2024-01-22T00:08:11Z

@@ Line 1: / Line 1: @@
 '''Quantity''' is an irreducible attribute of existents, and therefore it admits only an ostensive definition.
 When one says that there is ''more'' or ''as much'' or ''less'' of A than there is of B, he is comparing the quantity of A to the quantity of B.
-We observe that quantity comes in two forms: there are quantities which are discrete, and quantities which are continuous.
+When one talks about ''adding to'' or ''subtracting from'' A, he is talking about a change in the quantity of A.
-Numbers are concepts that measure quantity.
+The weight of a bag of rice
-Discrete quantities are measured by [[natural numbers]]. Continuous quantities are measured by [[fractions]] (fractional numbers).
+The distance to the sun