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# Bibliography

Lowell Lectures. 1903. Lecture 3. 1st draught

## Htabs

Type:

Manuscript

Title:

Lowell Lectures. 1903. Lecture 3. 1st draught

Id:

MS [R] 458

Year:

1903

Description:

**Robin Catalogue:**

Science, mathematics, and quantity. Pure mathematics (the science of hypotheses) is divided in accordance with the complexity of its hypotheses. Simplest mathematics is the system of existential graphs. Doctrine of multitude: Cantor’s work on collections. Understanding requires some reference to the future to an endless series of possibilities. Achilles and the Tortoise Paradox.

Keywords:

Mathematics, Science, Philosophy, Benjamin Peirce, Richard Dedekind, Simplest Mathematics, Mathematics of Existential Graphs, False Graph, True Graph, Mathematics of Logic, Three-valued Mathematics, Theory of Numbers, Higher Arithmetic, Multitude, Maniness, Georg Cantor, Bernard Bolzano, Euclid, Infinity, Whole, Collection, Definition, Dyad, Duette, Ordered Pair, Ens Rationis, Nothing, Possible, Identity, Augustus De Morgan, Syllogism of Transposed Quantity, Existence, Experience, Knowledge, Possibility, Idea, Achilles and the Tortoise, Convenient Fiction

Language:

English

Peirce, C. S. (1903).

*Lowell Lectures. 1903. Lecture 3. 1st draught*. MS [R] 458.The entry in BibTeX format.

author = "Charles S. Peirce",

title = "{Lowell Lectures. 1903. Lecture 3. 1st draught. MS [R] 458}",

year = 1903,

abstract = "{Robin Catalogue: Science, mathematics, and quantity. Pure mathematics (the science of hypotheses) is divided in accordance with the complexity of its hypotheses. Simplest mathematics is the system of existential graphs. Doctrine of multitude: Cantor’s work on collections. Understanding requires some reference to the future to an endless series of possibilities. Achilles and the Tortoise Paradox. }",

keywords = "Mathematics, Science, Philosophy, Benjamin Peirce, Richard Dedekind, Simplest Mathematics, Mathematics of Existential Graphs, False Graph, True Graph, Mathematics of Logic, Three-valued Mathematics, Theory of Numbers, Higher Arithmetic, Multitude, Maniness, Georg Cantor, Bernard Bolzano, Euclid, Infinity, Whole, Collection, Definition, Dyad, Duette, Ordered Pair, Ens Rationis, Nothing, Possible, Identity, Augustus De Morgan, Syllogism of Transposed Quantity, Existence, Experience, Knowledge, Possibility, Idea, Achilles and the Tortoise, Convenient Fiction",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1903-lowell-lectures-1903-lecture-3-1st-draught-ms-r-458}"

}

title = "{Lowell Lectures. 1903. Lecture 3. 1st draught. MS [R] 458}",

year = 1903,

abstract = "{Robin Catalogue: Science, mathematics, and quantity. Pure mathematics (the science of hypotheses) is divided in accordance with the complexity of its hypotheses. Simplest mathematics is the system of existential graphs. Doctrine of multitude: Cantor’s work on collections. Understanding requires some reference to the future to an endless series of possibilities. Achilles and the Tortoise Paradox. }",

keywords = "Mathematics, Science, Philosophy, Benjamin Peirce, Richard Dedekind, Simplest Mathematics, Mathematics of Existential Graphs, False Graph, True Graph, Mathematics of Logic, Three-valued Mathematics, Theory of Numbers, Higher Arithmetic, Multitude, Maniness, Georg Cantor, Bernard Bolzano, Euclid, Infinity, Whole, Collection, Definition, Dyad, Duette, Ordered Pair, Ens Rationis, Nothing, Possible, Identity, Augustus De Morgan, Syllogism of Transposed Quantity, Existence, Experience, Knowledge, Possibility, Idea, Achilles and the Tortoise, Convenient Fiction",

language = "English",

note = "From the Commens Bibliography | \url{http://www.commens.org/bibliography/manuscript/peirce-charles-s-1903-lowell-lectures-1903-lecture-3-1st-draught-ms-r-458}"

}

Commens Dictionary entries from ‘Lowell Lectures. 1903. Lecture 3. 1st draught’

1903 | MS [R] 458:16-17
The definition […] of a collection is that it is a real individual object whose being consists in the being of whatever may actually exist that possesses a certain character. |

1903 | MS [R] 458:14
By a |

1903 | MS [R] 458:3-4
Mathematics is the science of hypotheses, – the science of what is supposable. Supposable does not mean directly imaginable, it means what makes sense. |