Mathematics
Manuscript  Posted 12/05/2015 Peirce, Charles S. (190506 [c.]). Chapter III. The Nature of Logical Inquiry. MS [R] 608 Robin Catalogue: 

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... 

Manuscript  Posted 04/05/2015 Peirce, Charles S. (nd). A Suggested Classification of the Sciences. MS [R] 1339 Robin Catalogue: 

Manuscript  Posted 04/05/2015 Peirce, Charles S. (nd). Philosophy in the Light of the Logic of Relatives. MS [R] 1336 Robin Catalogue: 

Manuscript  Posted 19/01/2015 Peirce, Charles S. (1902 [c.]). Reason's Rules. MS [R] 599 Robin Catalogue: 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, Selfcontradiction, Innocent Selfcontradiction, Vicious Selfcontradiction


Manuscript  Posted 12/01/2015 Peirce, Charles S. (18991900 [c.]). Notes on Topical Geometry. MS [R] 142 A. MS., Gundated16 [c.18991900?], 6 pp., plus 2 pp. each of two other drafts having the same title as above. 

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, 

Manuscript  Posted 08/01/2015 Peirce, Charles S. (1903). Lecture 5,. Vol. 2. MS [R] 470 Robin Catalogue: 

Manuscript  Posted 07/01/2015 Peirce, Charles S. (1903). Useful for 3rd or 4th?. MS [R] 466 Robin Catalogue: 

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...


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...


Article in Journal  Posted 03/11/2014 Schreiber, Christof (2013). Semiotic processes in chatbased problemsolving 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 'MathChat',...


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...


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...


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... 

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


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. 

Manuscript  Posted 25/09/2014 Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. 1st draught. MS [R] 458 Robin Catalogue: Mathematics, Science, Philosophy, Benjamin Peirce, Richard Dedekind, Simplest Mathematics, Mathematics of Existential Graphs, False Graph, True Graph, Mathematics of Logic, Threevalued 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


Manuscript  Posted 23/09/2014 Peirce, Charles S. (1903). Lecture I [R]. MS [R] 453 Robin Catalogue: 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, Selfcontrol, 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


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. 