Article in Journal | Posted 02/10/2017
Myrvold, Wayne C. (1995). Peirce on Cantor's Paradox and the Continuum
Traces the development of Charles Sanders Peirce's ideas on set theory, a particular area of mathematics. Role of Peirce's conception in set theory in his conception of the continuum;...
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Manuscript | Posted 22/08/2015
Peirce, Charles S. (1893). How to Reason: A Critick of Arguments. Advertisement [R]. MS [R] 398
A. MS., G-1893-5, pp. 1-11.
Only the last 4 paragraphs (pp. 10-11) published: Collected Papers, Vol. 8, pp. 278-279. Unpublished: a summary of CSP’s work in philosophy and logic which is... Logic of Relations, Syllogism, Inference, Reasoning, Diagram, Hegel, Objective Logic, Dialectic, Continuity, Georg Cantor, Infinitesimal, Probability, Proposition, Logical Proposition, Real Proposition, Long Run, Deduction, Abduction, Induction, Felix Klem, William James, Discontinuity, Francis Ellingwood Abbott, Realism
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Manuscript | Posted 22/08/2015
Peirce, Charles S. (1893). How to Reason: A Critick of Arguments. Advertisement. MS [R] 397
Robin Catalogue:
A. MS., G-1893-5, pp. 1-12.
Only the 1st paragraph of p. 1 was published: Collected Papers, Vol. 8, p. 278. Unpublished: a general summary of CSP’s work in... Continuity, Political Economy, Inference, Reasoning, Diagram, Nota Notae, Doctrine of Relations, Logical Machine, Syllogism, Kant, Logic of Relatives, Deductive Reasoning, Hegel, Georg Cantor
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Manuscript | Posted 11/01/2015
Peirce, Charles S. (1903). Lecture V [R]. MS [R] 471
Robin Catalogue:
A. MS., notebook, n.p., 1903, 10 pp.
On multitude and collection.
Continuity, Multitude, Bernard Bolzano, Collection, Georg Cantor, Possibility, Generality, Indefiniteness, Discrete Object, Definiteness, Irrationals
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Manuscript | Posted 08/01/2015
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 5. Vol. 1. MS [R] 469
Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 2-74.
Doctrine of multitudes. Breadth and depth. Reference to Bertrand Russell’s Principles of Mathematics in connection with... Cardinal Number, Ordinal Number, Doctrine of Multitude, Collection, Multitude, Ens Rationis, Existence, Proper Name, Sam, Gath, Being, Essence, Breadth, Imputed Firstness, Pure Secondness, Regulative Principle, Quality, Bertrand Russell, Scientific Vocabulary, Relation, Georg Cantor, Achilles and the Tortoise, Cantorian Succession, Bernard Bolzano, Definition, Enumerable Collection, Denumeral Collection, Syllogism of Transposed Quantity, Depth
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Article in Journal | Posted 03/11/2014
Moore, Matthew E. (2009). Peirce on Perfect Sets, Revised
The article examines philosopher Charles S. Peirce's definition of continuity in the "Century Dictionary" as it was reprinted in the "Collected Papers." The definition of...
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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 25/09/2014
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. 1st draught. MS [R] 458
Robin Catalogue:
Science, mathematics, and quantity. Pure mathematics (the science of hypotheses) is divided in accordance with the complexity of its hypotheses. Simplest mathematics... 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
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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 14/09/2014
Peirce, Charles S. (nd). Fermatian Inference [R]. MS [R] 35
Robin Catalogue:
A. MS., n.p., n.d., 5 pp.
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Manuscript | Posted 14/09/2014
Peirce, Charles S. (nd). On Collections [R]. MS [R] 32
Robin Catalogue:
A. MS., n.p., n.d., pp. 1-2, incomplete.
“Collection” defined; collection and quota distinguished.
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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 10/09/2014
Peirce, Charles S. (1905-07 [c.]). Considerations concerning the Doctrine of Multitude. MS [R] 27
Robin Catalogue:
A. MS., n.p., [c.1905-07?], pp. 1-5; 23, 24, 27, 29, 30.
The nature of definition; “collection” defined; first- and second-intentional collection.
Doctrine of Multitude, Mathematics, Georg Cantor, Bernard Bolzano, Whitehead, Definition, Mathematical Definition, Collection, Dyadic Relation, Triadic Relation, Multitude, Whole, Integral Whole, Member, Identity, Nothing, Thought, Purpose, Counting, Essence, Existence, Second Intention
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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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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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Manuscript | Posted 25/11/2012
Peirce, Charles S. (1908). The Bed-Rock Beneath Pragmaticism. MS [R] 300
From the Robin Catalogue:
A. MS., G-1905-1e, pp. 1-65; 33-40; 38-41; 37-38; 40-43.7; plus 64 pp. of fragments running brokenly from p. 1 to p. 60.
This was to have... Pragmatism, Protagoras, Truth, F. C. S. Schiller, William James, James Mill, Indefiniteness, Protagoreanism, Plato, Vagueness, Generality in Depth, Positivism, Pragmaticism, Ethics of Terminology, Existential Graph, Chemical Graph, Chemistry, Ligature, Selective, Proper Name, Spot, Identity, Iconicity, Logical Depth, Logical Breadth, Phemic Sheet, Universe of Discourse, Nota Notae, Continuity, Line of Identity, Personal Identity, Tree of Porphyry, Concept, Teridentity, Generalized Icon, Composition, Compositionality, Icon, Sequence, Negation, Time, Reasoning, Richard Whately, Pragmaticistic Interpretation, Ground, Augustus De Morgan, Entitative Graph, Sign, Representamen, Euler's Diagrams, Friedrich Albert Lange, John Venn, Graphist, Interpreter, Universe of Real Capacities, Universe of Actual Fact, Universe of Tendencies, Modality, Information, Actual, Possible, Necessary, Tincture, Logical Universe, Oscar Howard Mitchell, Assertion, Feeling, Reason, Material Part, Essence, Alfred Bray Kempe, Connexion, Pseudo-continuity, Bernard Bolzano, Nominalism, Pseudo-continuum, Georg Cantor, Proof of Pragmatism, Proof of Pragmaticism, Limit, Quasi-continuity, Richard Dedekind, Betweenness, Relative, Existential Relation
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