Manuscript | Posted 08/07/2015
Peirce, Charles S. (1903). Lecture VII [R]. MS [R] 474
Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 96-152.
Volume II of the Seventh Lecture. Law, uniformity, and variety. Critical comments on Mill’s views on the uniformity of... Uniformity of Nature, John Stuart Mill, Law, Nominalism, Scholastic Realism, Variety, Induction, Pooh-pooh Argument, Joseph Gratry, Pierre Simon Laplace, Number
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Manuscript | Posted 28/09/2014
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. MS [R] 459
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... 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
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Manuscript | Posted 21/09/2014
Peirce, Charles S. (1912). Secundal Computation, Rules. MS [R] 54
Robin Catalogue:
A. MS., n.p., [early 1912], 8 pp., with 3 rejected pages; plus 1 folded sheet (“rules for addition and subtraction”).
Notational explanation and accompanying... |
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Manuscript | Posted 17/09/2014
Peirce, Charles S. (1906 [c.]). Numeration. MS [R] 48
Robin Catalogue:
A. MS., n.p., n.d., pp. 1-20, with 44 pp., some of which belong to different drafts but many of which are rejected pages.
Definitions of “number” and “series.”... Numeration, Arithmetical Notation, Number, Series, Collection, Multitude, Vagueness, Indefiniteness, Precision, Certainty, Ens Rationis, Real, Information, Experience, Enumerable Series, Simple Denumeral Series, Achilles and the Tortoise, Zeno, Cardinal Numerals, Indeterminacy, Whole, Partian Being, Totan Being, Abstraction
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Manuscript | Posted 15/09/2014
Peirce, Charles S. (1905 [c.]). First Definition of Ordinals. MS [R] 44
Robin Catalogue:
A. MS., G-c.1905-3 [G-1904-3], pp. 26-49, with 10 pp. of rejects and/or alternatives.
Published, in part, as 4.331-340. Omitted: an attempt to define formally a... |
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Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). Cardinal and Ordinal Number [R]. MS [R] 42
Robin Catalogue:
A. MS., n.p., n.d., 10 pp.
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Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). The Axioms of Number. MS [R] 41
Robin Catalogue:
TS., n.p., n.d., 2 pp.
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Manuscript | Posted 15/09/2014
Peirce, Charles S. (1881 [c.]). Axioms of Number. MS [R] 40
Robin Catalogue:
A. MS., n.p., [C.1881?], 4 pp.
Fifteen axioms (or assumptions) of arithmetic which provide a definition of “positive, discrete number” and from which, CSP... |
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Manuscript | Posted 15/09/2014
Peirce, Charles S. (nd). Logic of Number. MS [R] 39
Robin Catalogue:
A. MS., n.p., n.d., 18 pp.
Fundamental premises concerning number.
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Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). Fragments on Collections [R]. MS [R] 36
Robin Catalogue:
A. MS., n.p., n.d., 14 pp.
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Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). Collections and the Fermatian Inference [R]. MS [R] 34
Robin Catalogue:
A. MS., n.p., n.d., 26 pp. of discontinuous fragments (nn. except for 67).
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Manuscript | Posted 11/09/2014
Peirce, Charles S. (nd). On Multitudes [R]. MS [R] 29
Robin Catalogue:
A. MS., n.p., n.d., 10 pp.
Innumerable and inenumerable multitude. Generality and infinity.
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Manuscript | Posted 11/09/2014
Peirce, Charles S. (1897 [c.]). On Multitudes [R]. MS [R] 28
Robin Catalogue:
A. MS., n.p., [c.1897?], pp. 23-48.
Abnumeral collection; first, second, and third denumeral multitude; princi, secundo, and tertio post-numeral multitude.... Denumerable Collection, Fermatian Inference, Georg Cantor, First Abnumeral Multitude, Second Abnumeral Multitude, Mathematics, Third Abnumeral Multitude, Supermultitudinous Collection, Continuity, Order of Magnitude, Arithm, Infinity, Number, Limit, Assignable Quantity, Primipostnumeral Collection, Simon Newcomb, Euclid, Primipostnumeral Multitude, Secundipostnumeral Multitude, Tertiopostnumeral Multitude, Continuum, Pedagogy, Line
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Manuscript | Posted 09/09/2014
Peirce, Charles S. (nd). Logic of Number [R]. MS [R] 23
Robin Catalogue:
A draft of G-1881-7 (for annotated reprint of, see MS. 38). Unlimited and limited discrete simple quantity.
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Manuscript | Posted 08/09/2014
Peirce, Charles S. (1895 [c.]). On the Logic of Quantity, and especially of Infinity. MS [R] 16
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... 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
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Manuscript | Posted 01/09/2014
Peirce, Charles S. (1895 [c.]). On Quantity, with special reference to Collectional and Mathematical Infinity. MS [R] 14
Robin Catalogue:
The nature of mathematics, pure and applied. In general, mathematics is concerned with the substance of hypotheses, drawing necessary conclusions from them; pure... Mathematics, Quantity, Continuity, Infinity, Definition, Pure Mathematics, Applied Mathematics, Deductive Reasoning, Transitive Relation, Cyclical Relation, Negation, Singularity, Addition, Rational Quantity, Real Quantity, Endless Series, Direct Convergence, Limit, Imaginary Quantity, Quaternion, Quasi-continuum, Topics, Graphics, Metrics, Multitude, Number, Counting, Cardinal Numerals, Enumerable Collection, Denumerable Collection, Innumerable Collection, Georg Cantor, Abnumeral Collection, General, Individual, Time, Space, Reasoning, Moment, Presence, Continuum
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Article in Journal | Posted 29/07/2014
Peirce, Charles S. (1881). On the Logic of Number
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Monograph | Posted 30/04/2014
Buckley, Benjamin L. (2012). The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals
The topic of this book is the historical struggle to define and defend a realnumber continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical... |
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Manuscript | Posted 25/11/2012
Peirce, Charles S. (1897). Multitude and Number. MS [R] 25
From the Robin Catalogue:
A. MS., G-1897-1, pp. 1-82, with rejected or alternative pages running brokenly from p. 7 to p. 71.
Most of manuscript was published (4.170-... Collection, Universe of Discourse, Experience, Time, Space, Multitude, Discrete Collection, Multiplicity, Mathematics, Philosophy, Enumerable Collection, Finite Collection, Augustus De Morgan, Syllogism of Transposed Quantity, Inenumerable Collection, Fundamental Theorem of Arithmetic, Denumerable Collection, Multiplication, Free Multiplication, Dominated Multiplication, Georg Cantor, Number, Generating Relation, First Abnumeral Multitude, Primipostnumeral Multitude, Achilles and the Tortoise, Fermatian Syllogism, Primipostnumeral Syllogism, Secundopostnumeral Collection, Arithm, Metrics, Graphics, Topics, Geometry, Absolute, Plane, Singularity, Continuity, Chorisis, Cyclosis, Euler's Theorem, Product of a Collection, Vagueness, Generality, Euclid, Non-Euclidean Geometry
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