Mathematics

Keyword: Mathematics

Manuscript \| Posted 12/05/2015 Peirce, Charles S. (1905-06 [c.]). Chapter III. The Nature of Logical Inquiry. MS [R] 608 Robin Catalogue: A. MS., n.p., [1905-06?], pp. 1-3. Dedekind and Benjamin Peirce on the relationship between logic and mathematics. Is logic mathematics? Mathematics, Logic, Richard Dedekind, Benjamin Peirce	preview
Dictionary Entry \| Posted 04/05/2015 Quote from "A Suggested Classification of the Sciences" I divide the sciences of discovery into, 1, Mathematics, which traces out the consequences of hypotheses without concerning itself with their truth, and as the...	preview
Manuscript \| Posted 04/05/2015 Peirce, Charles S. (nd). A Suggested Classification of the Sciences. MS [R] 1339 Robin Catalogue: A. MS., n.p., n.d., pp. 1-13; 1-6. Some of the ways in which CSP’s scheme differs from other schemes. CSP’s point of departure is Comte. Division of science... Classification of Sciences, Auguste Comte, Science of Review, Science of Discovery, Mathematics, Philosophy, Idioscopy, Psychical Science, Physical Science, Phenomenology, Normative Science, Metaphysics, Logic, Ethics, Esthetics, Self-control, Ideal, Theoretical Science, Practical Science	preview
Manuscript \| Posted 04/05/2015 Peirce, Charles S. (nd). Philosophy in the Light of the Logic of Relatives. MS [R] 1336 Robin Catalogue: A. MS., n.p., n.d., pp. 1-13, unfinished. Classification of the sciences. Some of the ways in which CSP’s classification differs from Comte’s. The relationship... Philosophy, Mathematics, Classification of Sciences, Logic, Metaphysics, Auguste Comte, Aristotle, Herbert Spencer, John Stuart Mill, Uniformity of Nature, Experience, Formal Logic	preview
Manuscript \| Posted 19/01/2015 Peirce, Charles S. (1902 [c.]). Reason's Rules. MS [R] 599 Robin Catalogue: A. MS., n.p., [c.1902], pp. 4-45, 31-42, and 8 pp. of fragments. The nature of a sign. Propositions as the significations of signs which represent that some... Truth, Opinion, Falsity, Assertion, Judgment, Proposition, Sentence, Command, Meaning, Subject, Reality, Mathematics, Absurdity, Emptiness, Insolubilia, Logic, Idealism, Berkeley, Value, Sign, Object, Thomas Aquinas, Port Royal Grammar, Consciousness, Eduard von Hartmann, Unconscious, Endless Series of Signs, Achilles and the Tortoise, Understanding, Reasonableness, Interpretant, Icon, Index, Symbol, Indeterminacy, Logical Possibility, Possibility, Self-contradiction, Innocent Self-contradiction, Vicious Self-contradiction	preview
Manuscript \| Posted 12/01/2015 Peirce, Charles S. (1899-1900 [c.]). Notes on Topical Geometry. MS [R] 142 A. MS., G-undated-16 [c.1899-1900?], 6 pp., plus 2 pp. each of two other drafts having the same title as above. Published, in part, as 8.368n23. Omitted from publication are definitions of “... Thing, Act, Law, Hope, Law of Excluded Middle, Mathematics, Identity of Indiscernibles, Collection, Isaac Newton, Character, Ens Rationis, Sign, Icon, Index, Symbol, Designation, Reagent, Term, Proposition, Argument, Correspondence, Individual, Indeterminacy	preview
Dictionary Entry \| Posted 08/01/2015 Quote from "Lecture 5,. Vol. 2" Mathematics, in general, is the science of the logical possibility & impossibility of hypotheses,	preview
Manuscript \| Posted 08/01/2015 Peirce, Charles S. (1903). Lecture 5,. Vol. 2. MS [R] 470 Robin Catalogue: A. MS., notebook, n.p., 1903, pp. 76-158. At the beginning CSP offers the following plan for his lecture series: “1. What makes a reasoning sound, 2.... Collection, Augustus De Morgan, Syllogism of Transposed Quantity, Enumerable Collection, Denumeral Collection, Pierre de Fermat, First Ultranumerable Multitude, Second Ultranumerable Multitude, Continuity, Gamma Graph, Mathematics, Pure Mathematics, Herbert Spencer, Philosophy, Evolutionism	preview
Manuscript \| Posted 07/01/2015 Peirce, Charles S. (1903). Useful for 3rd or 4th?. MS [R] 466 Robin Catalogue: A. MS., notebook, n.p., 1903, pp. 1-28, unfinished, with two p. 19’s, both of which leave text intact. Mathematics and logic; existential graphs introduced... Mathematics, Richard Dedekind, Logic, Necessary Reasoning, Assertion, Dyadic Mathematics, Existential Graph, Pure Mathematics, Multitude, Ordinal Number, Collection, Bernard Bolzano, Possibility, Quality, Relation	preview
Article in Journal \| Posted 17/11/2014 Campos, Daniel G. (2009). Imagination,Concentration, and Generalization: Peirce on the Reasoning Abilities of the Mathematician The article focuses on the mathematical theories of American mathematician and philosopher Charles Sanders Peirce, focusing on ideas related to imagination, concentration, and generalization in the... Mathematical Reasoning, Mathematics	preview
Article in Journal \| Posted 03/11/2014 Otte, Michael F. (2006). Proof and Explanation from a Semiotical Point of View A distinction between proofs that prove and proofs that explain has over and again played an important role within recent discussions in epistemology and mathematics education. The distinction goes... Mathematics Education, Proof, Explanation, Mathematics	preview
Article in Journal \| Posted 03/11/2014 Schreiber, Christof (2013). Semiotic processes in chat-based problem-solving situations This article seeks to illustrate the analysis of episodes of chat sessions based on Charles Sanders Peirce's triadic sign relation. The episodes are from a project called 'Math-Chat',... Learning, Mathematics	preview
Article in Journal \| Posted 03/11/2014 Berger, Margot (2010). A Semiotic View of Mathematical Activity with a Computer Algebra System I argue that a semiotic framework enables a rich understanding of how the use of a computer algebra system (CAS) may enable, or constrain, mathematical activity. This argument is rooted in a... Computer Algebra System, Mathematics	preview
Article in Journal \| Posted 31/10/2014 Legg, Cathy (2014). “Things Unreasonably Compulsory”: A Peircean Challenge to a Humean Theory of Perception, Particularly With Respect to Perceiving Necessary Truths Much mainstream analytic epistemology is built around a sceptical treatment of modality which descends from Hume. The roots of this scepticism are argued to lie in Hume’s (nominalist) theory of... Hume, Perception, Scepticism, Mathematics	preview
Dictionary Entry \| Posted 28/09/2014 Quote from "Lowell Lectures. 1903. Lecture 3" …if we conceive a science, not as a body of ascertained truth, but, as the living business which a group of investigators are engaged upon, which I think is the only sense which gives a natural...	preview
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	preview
Dictionary Entry \| Posted 25/09/2014 Quote from "Lowell Lectures. 1903. Lecture 3. 1st draught" Mathematics is the science of hypotheses, – the science of what is supposable. Supposable does not mean directly imaginable, it means what makes sense.	preview
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	preview
Manuscript \| Posted 23/09/2014 Peirce, Charles S. (1903). Lecture I [R]. MS [R] 453 Robin Catalogue: A. MS., notebook, n.p., 1903, pp. 1-37. Science hampered by the false notion that there is no distinction between good and bad reasoning. This notion related to... Reasoning, Fallacy, Morals, Motive, Pleasure, Necessitarianism, Ideal of Conduct, Poetical Ideal, Resolution, Determination, Conduct, Conscience, Judgment, Quality of Feeling, Satisfaction, Hedonism, Jeremy Bentham, Agency, Logic, Ethics, Self-control, Logica Utens, Logical Synderesis, Truth, Inference, Necessary Reasoning, Logical Feeling, Norm, Utilitarianism, Logical Ideal, Ideal, Logical Criticism, Wilhelm Wundt, Human Sciences, Mathematics, Philosophy, Pragmatism, Doubt, Inquiry, Certainty, German Thought, Historical Method, Isaac Newton, Progress of Science	preview
Dictionary Entry \| Posted 21/09/2014 Quote from "Notes on B. Peirce's Linear Associative Algebra" In short, logic is the theory of all reasoning, while mathematics is the practice of a particular kind of reasoning.	preview

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