Pure Mathematics
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Dictionary Entry | Posted 19/05/2015 Quote from "L [R]" … pure Mathematics […] is simply the science of the necessary and definite results that would flow from the truth of propositions, as to whose actual truth the group of... |
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Dictionary Entry | Posted 08/01/2015 Quote from "Lecture 5,. Vol. 2" Pure mathematics differs from mathematics in general in not admitting into its hypotheses any element that does affect their logical possibility or impossibility... |
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Manuscript | Posted 08/01/2015 Peirce, Charles S. (1903). Lecture 5,. Vol. 2. MS [R] 470 Robin Catalogue: |
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Dictionary Entry | Posted 07/01/2015 Quote from "Useful for 3rd or 4th?" I […] define Pure Mathematics as that Mathematics which leaves its assumptions entirely indeterminate in respects which have no bearing upon the manner in which... |
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Manuscript | Posted 07/01/2015 Peirce, Charles S. (1903). Useful for 3rd or 4th?. MS [R] 466 Robin Catalogue: |
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Dictionary Entry | Posted 28/09/2014 Quote from "Lowell Lectures. 1903. Lecture 3" …I would define Pure Mathematics as the science of pure hypotheses perfectly definite in all respects which can create or destroy forms of necessary consequences from them... |
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Manuscript | Posted 28/09/2014 Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. MS [R] 459 Robin Catalogue: 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... |
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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: 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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Dictionary Entry | Posted 29/08/2014 Quote from "Truth and Falsity and Error" Projective geometry is not pure mathematics, unless it be recognized that whatever is said of rays holds good of every family of curves of which there is one and one only through any two points,... |
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Dictionary Entry | Posted 28/08/2014 Quote from "On Dyadics: the Simplest Possible Mathematics" Mathematics will here be understood to be the science which sets up hypotheses with a view to doing what it proceeds to do, namely, to deduce their consequences, and to study the methods of doing... |
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Manuscript | Posted 28/08/2014 Peirce, Charles S. (1903 [c.]). On Dyadics: the Simplest Possible Mathematics. MS [R] 3 A. MS., n.p., [c.1903?], pp. s-2, incomplete. |
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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: 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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