Download PDF by S. Lapointe, Michael Beaney: Bolzano's Theoretical Philosophy: An Introduction (History

By S. Lapointe, Michael Beaney

ISBN-10: 0230201490

ISBN-13: 9780230201491

The 1st booklet in English to supply a scientific survey of Bolzano’s philosophical common sense and conception of data, it deals a reconstruction of Bolzano’s perspectives on a sequence of key concerns: the research of that means, generality, analyticity, logical outcome, mathematical demonstration and information through advantage of which means.

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Extra info for Bolzano's Theoretical Philosophy: An Introduction (History of Analytic Philosophy)

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Com - licensed to Universitetsbiblioteket i Tromso - PalgraveConnect - 2011-04-02 Decomposition 24 Bolzano’s Theoretical Philosophy (1) If β1 & β2 & . . & βn are essential properties of object α, then the concepts [β1 ] & [β2 ] & . . e. [α] = {[β1 ] & [β2 ] & . . & [βn ]} The question whether we should take only the essential properties or all properties into consideration is not inconsequential. The latter is the case in Leibniz whom Bolzano takes to be the paradigm in this respect (cf. 1837, §64, 272).

Arnauld and Nicole are assuming (i) and (ii) when they describe the relation between two concepts that are situated at different “levels”. com - licensed to Universitetsbiblioteket i Tromso - PalgraveConnect - 2011-04-02 22 23 concept or genus “comprises” the inferior concept. This amounts to saying in agreement with what the method of division predicts that the superior concept subordinates the inferior one. On the other hand, from the standpoint of the content, the inferior concept or species “includes” the superior: the superior concept is a component of the inferior one and is therefore “less determined” than the latter (cf.

From which no new property of the object represented follows [. ] Thus the content of the concept of a round sphere is greater than the concept of a sphere in general though the extension of both concepts is the same. com - licensed to Universitetsbiblioteket i Tromso - PalgraveConnect - 2011-04-02 equilateral tells us nothing about the triangle except that it is equilateral. This is what Bolzano meant when he wrote: 28 Bolzano’s Theoretical Philosophy But as we have already seen in §64 the objects that fall under a given idea A can have properties whose idea do not appear as components in the idea of an A.

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Bolzano's Theoretical Philosophy: An Introduction (History of Analytic Philosophy) by S. Lapointe, Michael Beaney

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