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Extra resources for Syllabus Of A Proposed System Of Logic
Example text
The concepts of triangle and equilateral are traits of the concept of equilateral triangle, whereas the concepts of round and rectangle are traits of the concept of round rectangle. All equilateral triangles fall under the first compound concept, whereas nothing falls under the second compound concept. Incidentally, as Frege stresses,10 if we could not form concepts from traits, that is, by combining different concepts to form a compound one, we could never negate existence and, thus, the assertion of existence would loose its content.
4 Grundlagen der Arithmetik: Second Part (§§46-109) 37 are neither ultraproducts nor reduced products makes no relevant difference: both statements express the subordination of a concept under another concept. Frege considers that when we acknowledge that numbers occur in predications about concepts, the difficulties that surround other views on numbers disappear. Thus, the presumed fact that different numbers can correspond to the same thing was based on the mistaken assumption that objects are the bearers of numbers.
P. 9. , p. 10. 9 A Critical Introduction to the Philosophy of Gottlob Frege 20 (1) (2) (3) We should clearly distinguish the psychological from the logical, the subjective from the objective. We should ask for the meaning of words only in the context of sentences. We should always have present the difference between concept and object. In order not to violate the first principle, Frege will always use the word ‘representation’ [in German: Vorstellung] in a psychological sense, and he will clearly distinguish representations both from concepts and objects.