Article in Journal | Posted 29/11/2014
Niiniluoto, Ilkka (2011). Abduction, tomography, and other inverse problems
Charles S. Peirce introduced in the late 19th century the notion of abduction as inference from effects to causes, or from observational data to explanatory theories. Abductive reasoning has become a...
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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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Dictionary Entry | Posted 04/09/2014
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"
…the distinguishing characteristic of mathematics is that it is the scientific study of hypotheses which it first frames and then traces to their consequences. Mathematics is either applied... |
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Dictionary Entry | Posted 04/09/2014
Quote from "On Quantity, with special reference to Collectional and Mathematical Infinity"
There is pure mathematics and applied mathematics. Pure mathematicians should strenuously object to a definition which should limit their hypotheses to such as are subservient to... |
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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 05/05/2013
Peirce, Charles S. (1893-1895 [c.]). Division III. Substantial Study of Logic. Chapter VI. The Essence of Reasoning. MS [R] 409
From the Robin Catalogue:
A. MS., G-1893-5, pp. 85-141 (pp. sog, 130 missing), with 8 pp. of variants.
Published, in part, as 4.53-56 (but not all of 56) and 4.61-79 (... Term, Concept, Proposition, Judgment, Belief, Inference, Assertion, Symbol, Index, Subject, Predicate, Meaning, Selective, Grammar, Hieroglyphs, Monstrative Sign, Reasoning, Leading Principle, Knowledge, Perfect Knowledge, Sure Knowledge, Practically Perfect Belief, Information, Essential Possibility, Substantial Possibility, Informationally Possible, Informationally Necessary, Informationally Contingent, Nominalism, Realism, Essential Necessity, Substantial Necessity, Laboratory Philosopher, Seminary Philosopher, Descartes, Imaginative Reasoning, Experiential Reasoning, Nota Notae, Mathematics, Applied Mathematics
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Manuscript | Posted 04/02/2013
Peirce, Charles S. (1895 [c.]). On Quantity, with special reference to Collectional and Mathematical Infinity. MS [R] 15
From the Robin Catalogue:
A. MS., n.p., [c.1895], pp. 1-29, incomplete.
Same questions raised as in MS. 14. “Mathematics” defined, with extended comments on the divisions of the... Anthropology, Applied Mathematics, Aristotle, Association, Astronomy, Augustus De Morgan, Benjamin Peirce, Biography, Biology, Blank, Chemistry, Collectional Quantity, Consequentia Simplex De Inesse, Continuity, Deductive Reasoning, Dyad, Dynamics, Ethics, Ethnological Psychics, Experience, General History, Geography, Geology, George Chrystal, History of Intellectual Products, Hypothesis, Inference by Deiteration, Inference by Excluded Middle, Inference by Insertion, Inference by Iteration, Inference by Omission, Inference from Contradiction, Kant, Limit, Logic, Logical Relation, Mathematical Infinity, Mathematical Relation, Mathematics, Medad, Metaphysics, Meteorology, Molecular Physics, Monad, Multitude, Negative Logical Graph, Nomological Sociology, Philonian Conditional, Physical Geometry, Physics, Physics of Ether, Possibility, Postulate, Practical Sciences, Psychics, Psychology, Pure Mathematics, Quantity, Religion, Science of Gravitation, Science of Space, Science of Time, Space, Time, Triad, Verb, Will, William Hamilton, Zero Proposition, Inference by Commutation
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