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# Bibliography

Lowell Lectures. 1903. Lecture 3

## Htabs

Type:

Manuscript

Title:

Lowell Lectures. 1903. Lecture 3

Id:

MS [R] 459

Year:

1903

Description:

**Robin Catalogue:**

A. MS., notebook, n.p., 1903, pp. 1-41.

The words “Won’t do” (by CSP) appear on the cover of the notebook. Definition of “mathematics.” Denial that mathematics is reducible to logic. Alternative positions considered. Existential graphs; qualities; collection; multitude (Whitehead and Russell); substantive possibility.

Keywords:

Mathematics, Benjamin Peirce, Science, Natural Classification of Sciences, Mathematical Hypothesis, Applied Mathematics, Pure Mathematics, Boëthius, Philosophy, Quantity, Richard Dedekind, Logic, Mathematical Reasoning, Necessary Reasoning, Existential Graph, Simplest Mathematics, Number, Georg Cantor, Cardinal Number, Ordinal Number, Multitude, Maniness, Posteriority, Ernst Schröder, Bertrand Russell, Alfred North Whitehead, Inclusion of Correlates, Substantive Possibility, Quality, Epistemology, Metaphysics, Psychology, Identity, Relation, Existence, Phenomenology, Phenomenon, Ens Rationis, Essence, Nothing, Nonsense

Language:

English

Peirce, C. S. (1903).

*Lowell Lectures. 1903. Lecture 3*. MS [R] 459.The entry in BibTeX format.

author = "Charles S. Peirce",

title = "{Lowell Lectures. 1903. Lecture 3. MS [R] 459}",

year = 1903,

abstract = "{Robin Catalogue: A. MS., notebook, n.p., 1903, pp. 1-41. The words “Won’t do” (by CSP) appear on the cover of the notebook. Definition of “mathematics.” Denial that mathematics is reducible to logic. Alternative positions considered. Existential graphs; qualities; collection; multitude (Whitehead and Russell); substantive possibility. }",

keywords = "Mathematics, Benjamin Peirce, Science, Natural Classification of Sciences, Mathematical Hypothesis, Applied Mathematics, Pure Mathematics, Boëthius, Philosophy, Quantity, Richard Dedekind, Logic, Mathematical Reasoning, Necessary Reasoning, Existential Graph, Simplest Mathematics, Number, Georg Cantor, Cardinal Number, Ordinal Number, Multitude, Maniness, Posteriority, Ernst Schröder, Bertrand Russell, Alfred North Whitehead, Inclusion of Correlates, Substantive Possibility, Quality, Epistemology, Metaphysics, Psychology, Identity, Relation, Existence, Phenomenology, Phenomenon, Ens Rationis, Essence, Nothing, Nonsense",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1903-lowell-lectures-1903-lecture-3-ms-r-459}"

}

title = "{Lowell Lectures. 1903. Lecture 3. MS [R] 459}",

year = 1903,

abstract = "{Robin Catalogue: A. MS., notebook, n.p., 1903, pp. 1-41. The words “Won’t do” (by CSP) appear on the cover of the notebook. Definition of “mathematics.” Denial that mathematics is reducible to logic. Alternative positions considered. Existential graphs; qualities; collection; multitude (Whitehead and Russell); substantive possibility. }",

keywords = "Mathematics, Benjamin Peirce, Science, Natural Classification of Sciences, Mathematical Hypothesis, Applied Mathematics, Pure Mathematics, Boëthius, Philosophy, Quantity, Richard Dedekind, Logic, Mathematical Reasoning, Necessary Reasoning, Existential Graph, Simplest Mathematics, Number, Georg Cantor, Cardinal Number, Ordinal Number, Multitude, Maniness, Posteriority, Ernst Schröder, Bertrand Russell, Alfred North Whitehead, Inclusion of Correlates, Substantive Possibility, Quality, Epistemology, Metaphysics, Psychology, Identity, Relation, Existence, Phenomenology, Phenomenon, Ens Rationis, Essence, Nothing, Nonsense",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1903-lowell-lectures-1903-lecture-3-ms-r-459}"

}

Commens Dictionary entries from ‘Lowell Lectures. 1903. Lecture 3’

1903 | MS [R] 459:36-37
A According to this definition, a |

1903 | MS [R] 459:10-11
…a necessary reasoning is one which |

1903 | MS [R] 459:1-2
…if we conceive a science, not as a body of ascertained truth, but, as the living business which a group of investigators are engaged upon, which I think is the only sense which gives a natural classification of sciences, then we must include under mathematics everything that is an indispensible part of the mathematician’s business; and therefore must include the |

1903 | MS [R] 459:16
I shall always use the word |

1903 | MS [R] 459:29-30
These substantive possibilities, – that is, qualities, relations, and the like, – are |

1903 | MS [R] 459:4
…I would define Pure Mathematics as the science of pure hypotheses perfectly definite in all respects which can create or destroy forms of necessary consequences from them and entirely indeterminate in other respects. |