Manuscript | Posted 21/08/2017
Peirce, Charles S. (1903 [c.]). Topics. Chapter I. Singular Systems. MS [R] 151
Robin Catalogue:
A. MS., n.p., n.d., 3 pp.
Firstness, or qualities, are positive albeit vague determinations. Vagueness and generality discriminated.
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Dictionary Entry | Posted 09/08/2017
Quote from "Letters to William James"
…Definition, which is the end of Logical Analysis, is the first step, (after general familiarity in use,) toward making Ideas clear.
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Dictionary Entry | Posted 20/11/2015
Quote from "Sketch of Dichotomic Mathematics"
As Aristotle well says (and his authority is well-nigh absolute upon a question of logical terminology), a definition asserts the existence of nothing. A definition would... |
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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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Dictionary Entry | Posted 25/09/2014
Quote from "Lowell Lectures. 1903. Lecture 3. 1st draught"
By a definition I do not mean a statement conveying the exact sense of a word, although that will naturally be involved in a definition. But what I mean is the... |
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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 25/09/2014
Peirce, Charles S. (1903). Lowell Lectures. Lecture 2. Vol. 2. MS [R] 456
Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 40-66.
The second of a three-part introduction to the alpha and beta parts of existential graphs. For the first and third... Beta Graph, Alphapermissible Transformation, Alpha-sign, Blot, Permissible Transformation, Scroll, True Graph, Definition, Corollary, Euclid, Observation, Corollarial Consequence, Theorematic Consequence, Double Enclosure, Blank, Principle of Contraposition, Modus Ponens, Pseudograph, Rule of Erasure and Insertion, Rule of Iteration and Deiteration, Rule of Insignificants and the Pseudograph
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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 08/09/2014
Peirce, Charles S. (1895 [c.]). Logic of Quantity. MS [R] 18
Robin Catalogue:
A. MS., n.p., n.d., pp. 3-4.
Defense of a modified version of Benjamin Peirce’s definition of “mathematics.” Cf. MS. 78.
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Manuscript | Posted 08/09/2014
Peirce, Charles S. (1895 [c.]). On the Logic of Quantity. MS [R] 17
Robin Catalogue:
A. MS., n.p., [c.1895], pp. 1-9; 7-10 of another draft.
This manuscript should be compared with MS. 16, to which it bears a special similarity. See also MS. 250... Quantity, Mathematics, Hypothesis, Diagram, Scale of Quantity, Aristotle, Augustus De Morgan, William Hamilton, Euclid, Time, Space, Kant, Benjamin Peirce, George Chrystal, Perfect Knowledge, Definition, Science, Experience, Mathematical Hypothesis, Physical Hypothesis, Deductive Reasoning, Cognitive Experience, Emotional Experience, Probability, Feeling, Sensation, Precept, Observation, Relation, Intuition, Vividness, Instantaneous Photograph, Index, Assertion, Intuitional Diagram
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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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Manuscript | Posted 31/08/2014
Peirce, Charles S. (1904). On the Foundations of Mathematics. MS [R] 7
Robin Catalogue:
A. MS., n.p., [c.1903?], pp. 1-16, with 3 rejected pages; 17-19 of another draft.
Mathematics as dealing essentially with signs. The MSS. below (Nos. 8-11) are... Mathematics, Sign, Replica, Interpretant, Consciousness, Real Object, Falsity, Truth, Definition, Imagination, Experimentation, Quality, Ground, Meaning, Icon, Index, Proposition, Information, Symbol, Argument, Argumentation, Schema, Term
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Manuscript | Posted 31/08/2014
Peirce, Charles S. (1904). Dichotomic Mathematics. MS [R] 5
From the Robin Catalogue:
A. MS., n.p., [c.1903?], pp. 1-4, 1-3, 2-9, 6-11, 6-8, 10, 16-7, 45-46, with 22 pp. belonging to other drafts.
Similar in content to MS. 4,... Symbol, Replica, Transformation, Equivalence, Dichotomic Mathematics, Scholium, Definition, Postulate, Hypothesis, Axiom, Corollary, Theorem, Demonstration, Problem, Solution, Augmentation, Curtailment, Entire Replica, Partial Replica, Entitative Method, Existential Method, Quality, Form, Definiteness, Generality, Quoddam, Matter, Individuality, Vagueness, Ecthesis, Singularity, Insertion, Omission, Sign, Entelechy, Knowledge, Communication, Fact, Fancy, Strong Sign, Weak Sign
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Manuscript | Posted 28/08/2014
Peirce, Charles S. (1904). Sketch of Dichotomic Mathematics. MS [R] 4
A. MS., n.p., [c.1903?], pp. 1-52 (p. 25 missing), with 11 pp. of variants.
Nominal and real definitions; definition of terms, e.g., “postulate,” “axiom,” “corrollary,” “theorem,” which are... Definition, Postulate, Sign, Convention, Axiom, Corollary, Theorem, Mathematics, Problem, Speculative Rhetoric, Blank, Sheet, Matter, Form, Vagueness, Quoddam, Generality, Definiteness, Individuality, Entelechy, Nominalism, Individualism, Seven Schools of Philosophy, Aristotle, Kant, Signification, Replica, Interpretation, Belief, Quality
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Dictionary Entry | Posted 16/04/2013
Quote from "A Sketch of Logical Critics"
The definition and the utility of a definition require it to specify everything essential, and to omit all that is inessential, to its definitum: though it may be pardoned for calling... |
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Dictionary Entry | Posted 16/04/2013
Quote from "New Elements (Kaina stoiceia)"
A definition is the logical analysis of a predicate in general terms. It has two branches, the one asserting that the definitum is applicable to whatever there may... |
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