The Architecture of Theories (1891)
Context: Three conceptions are perpetually turning up at every point in every theory of logic, and in the most rounded systems they occur in connection with one another. They are conceptions so very broad and consequently indefinite that they are hard to seize and may be easily overlooked. I call them the conceptions of First, Second, Third. First is the conception of being or existing independent of anything else. Second is the conception of being relative to, the conception of reaction with, something else. Third is the conception of mediation, whereby a first and second are brought into relation.
“Is it always permissible to speak of the extension of a concept, of a class? And if not, how do we recognize the exceptional cases? Can we always infer from the extension of one concept's coinciding with that of a second, that every object which falls under the first concept also falls under the second?”
Vol. 2, p. 127. Replying to Bertrand Russell's letter about Russell's Paradox; quoted in The Stanford Encyclopedia of Philosophy http://plato.stanford.edu/entries/russell-paradox/
Grundgesetze der Arithmetik, 1893 and 1903
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Gottlob Frege 22
mathematician, logician, philosopher 1848–1925Related quotes
Kant's Inaugural Dissertation (1770), Section V On The Method Respecting The Sensuous And The Intellectual In Metaphysics
The Architecture of Theories (1891)
Context: The origin of things, considered not as leading to anything, but in itself, contains the idea of First, the end of things that of Second, the process mediating between them that of Third. A philosophy which emphasises the idea of the One, is generally a dualistic philosophy in which the conception of Second receives exaggerated attention: for this One (though of course involving the idea of First) is always the other of a manifold which is not one. The idea of the Many, because variety is arbitrariness and arbitrariness is repudiation of any Secondness, has for its principal component the conception of First. In psychology Feeling is First, Sense of reaction Second, General conception Third, or mediation. In biology, the idea of arbitrary sporting is First, heredity is Second, the process whereby the accidental characters become fixed is Third. Chance is First, Law is Second, the tendency to take habits is Third. Mind is First, Matter is Second, Evolution is Third.
Harijan (June 1942)
1940s
"The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 164. Reported in Moritz (1914)
Journals
Source: Meaning And Necessity (1947), p. 124 as cited in: E. Cornell Way (1991) Knowledge Representation and Metaphor. p. 183
Peter Coad & Ed Yourdon (1991, p. 1); cited in: Sten Carlsson and Benneth Christiansson. (1999) " The Concept of Object and its Relation to Human Thinking: Some Misunderstandings Concerning the Connection between Object-Orientation and Human Thinking http://www.vits.org/publikationer/dokument/289.pdf." Informatica, Lith. Acad. Sci. 10.2. p. 147-160.
Source: Object-oriented design (1991), p. 1; cited in: Sten Carlsson and Benneth Christiansson. (1999) " The Concept of Object and its Relation to Human Thinking: Some Misunderstandings Concerning the Connection between Object-Orientation and Human Thinking http://www.vits.org/publikationer/dokument/289.pdf." Informatica, Lith. Acad. Sci. 10.2. p. 147-160.