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# Bibliography

On the Logic of Quantity, and especially of Infinity

## Htabs

Type:

Manuscript

Title:

On the Logic of Quantity, and especially of Infinity

Id:

MS [R] 16

Year:

1895 [c.]

Description:

**Robin Catalogue:**

A. MS, n.p., [c.1895], pp. 1, 5-9, 7-18, 18-20.

Several definitions of “mathematics,” including Aristotle’s and CSP’s. Mathematical proof and probable reasoning; the system and scale of quantity; the importance of quantity for mathematics. But to grasp the nature of mathematics is to grasp the three elements, which, with regard to consciousness, are feeling, consciousness of opposition, and consciousness of the clustering of ideas into sets. Recognition of the three elements in the three kinds of signs logicians employ. An analysis of the syllogism.

Keywords:

Mathematics, Aristotle, Mathematical Hypothesis, Diagrammatic Embodiment, Diagram, Inherential Diagram, Imputational Diagram, Probable Reasoning, Probability, Experience, Deductive Reasoning, Syllogism, Scale of Quantity, Hume, Contguity, Idea, Vividness, Dimness, Clustering of Ideas, Feeling, Consciousness of Duality, Perception, Imagination, Attention, Desire, Suggestiveness, Inner World, Outer World, Nature, Resemblance, Reason, Evolution of Forms, Metaphysics, Quality, Dual Relation, Mediation, Plural Relation, Sign, Representamen, Icon, Noumenon, Index, Symbol, Assertion, Definition, Familiarity, Clearness, Distinctness, Proper Name, Number, Will, Intuition

Published in:

Language:

English

Peirce, C. S. (1895 [c.]).

*On the Logic of Quantity, and especially of Infinity*. MS [R] 16.The entry in BibTeX format.

author = "Charles S. Peirce",

title = "{On the Logic of Quantity, and especially of Infinity. MS [R] 16}",

year = 1895 [c.],

abstract = "{Robin Catalogue: A. MS, n.p., [c.1895], pp. 1, 5-9, 7-18, 18-20. Several definitions of “mathematics,” including Aristotle’s and CSP’s. Mathematical proof and probable reasoning; the system and scale of quantity; the importance of quantity for mathematics. But to grasp the nature of mathematics is to grasp the three elements, which, with regard to consciousness, are feeling, consciousness of opposition, and consciousness of the clustering of ideas into sets. Recognition of the three elements in the three kinds of signs logicians employ. An analysis of the syllogism. }",

keywords = "Mathematics, Aristotle, Mathematical Hypothesis, Diagrammatic Embodiment, Diagram, Inherential Diagram, Imputational Diagram, Probable Reasoning, Probability, Experience, Deductive Reasoning, Syllogism, Scale of Quantity, Hume, Contguity, Idea, Vividness, Dimness, Clustering of Ideas, Feeling, Consciousness of Duality, Perception, Imagination, Attention, Desire, Suggestiveness, Inner World, Outer World, Nature, Resemblance, Reason, Evolution of Forms, Metaphysics, Quality, Dual Relation, Mediation, Plural Relation, Sign, Representamen, Icon, Noumenon, Index, Symbol, Assertion, Definition, Familiarity, Clearness, Distinctness, Proper Name, Number, Will, Intuition",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1895-c-logic-quantity-and-especially-infinity-ms-r-16}"

}

title = "{On the Logic of Quantity, and especially of Infinity. MS [R] 16}",

year = 1895 [c.],

abstract = "{Robin Catalogue: A. MS, n.p., [c.1895], pp. 1, 5-9, 7-18, 18-20. Several definitions of “mathematics,” including Aristotle’s and CSP’s. Mathematical proof and probable reasoning; the system and scale of quantity; the importance of quantity for mathematics. But to grasp the nature of mathematics is to grasp the three elements, which, with regard to consciousness, are feeling, consciousness of opposition, and consciousness of the clustering of ideas into sets. Recognition of the three elements in the three kinds of signs logicians employ. An analysis of the syllogism. }",

keywords = "Mathematics, Aristotle, Mathematical Hypothesis, Diagrammatic Embodiment, Diagram, Inherential Diagram, Imputational Diagram, Probable Reasoning, Probability, Experience, Deductive Reasoning, Syllogism, Scale of Quantity, Hume, Contguity, Idea, Vividness, Dimness, Clustering of Ideas, Feeling, Consciousness of Duality, Perception, Imagination, Attention, Desire, Suggestiveness, Inner World, Outer World, Nature, Resemblance, Reason, Evolution of Forms, Metaphysics, Quality, Dual Relation, Mediation, Plural Relation, Sign, Representamen, Icon, Noumenon, Index, Symbol, Assertion, Definition, Familiarity, Clearness, Distinctness, Proper Name, Number, Will, Intuition",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1895-c-logic-quantity-and-especially-infinity-ms-r-16}"

}

Commens Dictionary entries from ‘On the Logic of Quantity, and especially of Infinity’

1895 [c.] | MS [R] 16:7, PM 48
Mathematical hypotheses are arbitrary creations of the mind. As such, their substance is not |

1895 [c.] | MS [R] 16:1
Mathematics may be defined as the study of the substance of exact hypotheses. It comprehends |

1895 [c.] | MS [R] 16:12, PM 52
A sign, or representamen, involves a plural relation, for it may be defined as something in which an element of cognition is so embodied as to convey that cognition from the thought of the deliverer of the sign, in which that cognition was embodied, to the thought of the interpreter of the sign, in which that cognition is to be embodied. |

1895 [c.] | MS [R] 16:12, PM 52
A sign, or representamen, involves a plural relation, for it may be defined as something in which an element of cognition is so embodied as to convey that cognition from the thought of the deliverer of the sign, in which that cognition was embodied, to the thought of the interpreter of the sign, in which that cognition is to be embodied. |