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Kaina Stoicheia (Καινα στοιχεια) or “New Elements” is the title of several manuscript drafts of a document that Charles Sanders Peirce wrote circa 1904, intended as a preface to a book on the foundations of mathematics. It presents a consummate integration of his ideas on the interrelations of logic, mathematics, and semeiotic, or the theory of signs.
Kaina Stoicheia (Καινα στοιχεια) or “New Elements” is the title of several manuscript drafts of a document that Charles Sanders Peirce wrote circa 1904, intended as a preface to a book on the foundations of mathematics. It presents a consummate integration of his ideas on the interrelations of logic, mathematics, and semeiotic, or the theory of signs.
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<p>Logic is the study of the essential nature of signs.<p>
<p>Logic is the study of the essential nature of signs.</p>
<p>A sign is something that exists in replicas. Whether the sign "it is raining" or "all pairs of particles of matter have component accelerations toward one another inversely proportional to the square of the distance" happens to have a replica in writing, in oral speech, or in silent thought, is a distinction of the very minutest interest to logic, which is a study, not of replicas, but of signs.</p>
<p>A sign is something that exists in replicas. Whether the sign "it is raining" or "all pairs of particles of matter have component accelerations toward one another inversely proportional to the square of the distance" happens to have a replica in writing, in oral speech, or in silent thought, is a distinction of the very minutest interest to logic, which is a study, not of replicas, but of signs.</p>
==References==
==References==
Peirce, C.S. (c. 1904), Καινα στοιχεια (“New Elements”), MS 517, pp. 235–263 in Carolyn Eisele (ed.), ''The New Elements of Mathematics by Charles S. Peirce, Volume 4, Mathematical Philosophy'', Mouton, The Hague, 1976. Cf. “New Elements”, pp. 300–324 in ''The Essential Peirce, Volume 2 (1893–1913)'', Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1998. [http://www.cspeirce.com/menu/library/bycsp/stoicheia/stoicheia.htm Online].
Peirce, C.S. (c. 1904), Καινα στοιχεια (“New Elements”), MS 517, pp. 235–263 in Carolyn Eisele (ed.), ''The New Elements of Mathematics by Charles S. Peirce, Volume 4, Mathematical Philosophy'', Mouton, The Hague, 1976. Cf. “New Elements”, pp. 300–324 in ''The Essential Peirce, Volume 2 (1893–1913)'', Peirce Edition Project (eds.), Indiana University Press, Bloomington, IN, 1998. [http://www.cspeirce.com/menu/library/bycsp/stoicheia/stoicheia.htm Online].
==Bibliography==
==Bibliography==
