By S. Lapointe, Michael Beaney
The 1st publication in English to provide a scientific survey of Bolzano’s philosophical common sense and concept of information, it deals a reconstruction of Bolzano’s perspectives on a chain of key matters: the research of which means, generality, analyticity, logical outcome, mathematical demonstration and information through advantage of which means.
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Extra resources for Bolzano's Theoretical Philosophy: An Introduction (History of Analytic Philosophy)
For this concept arises when the concept “triangle” is connected with the proposition: “which is equilateral”. Now it is obvious that the concept of equiangularity occurs neither in the concept “triangle” nor in the concept “which is equilateral”, therefore certainly no more in the whole which is indeed composed of nothing else but these two parts [. ] Otherwise one would merely have to say that it is in itself impossible to connect the concept “triangle” and the propositions “which is equilateral” without enclosing a number of other parts and among others also those which entail the concept of equiangularity.
Simple ideas are treated as unstructured. (Cf. e. of the form ‘Something which has b’ where ‘which has’ is a name-forming operator (cf. ). If, for instance, the subject-idea ‘A’ of a proposition ‘A has b’ is complex, Bolzano proposes that we analyse it according to the following pattern: ‘Something which has a, has b’, and so forth. (Cf. ) • A property-idea, if it is complex, is typically “conjunctive”. Such is the predicate-idea ‘b, b , b ’ in ‘A which has b, b , b ’. (Cf. ) Furthermore, as we have already discussed, Bolzano makes use of what he calls “determinations” in order to specify the conditions under which a sentence utterance is true immutably.
Pˇríhonský 1850, 69) The chapters that follow flesh out Bolzano’s views on analysis, quantification, analyticity, deductive knowledge and demonstration. They aim at providing an overall picture of Bolzano’s philosophy of logic and theory of knowledge, and with it a broad picture of what should be considered to have been the most important development of the discipline since Aristotle. com - licensed to Universitetsbiblioteket i Tromso - PalgraveConnect - 2011-04-02 Conversely, the content of an idea can be decreased without implying that the extension increases: 3 We say of a sentence or a sentence utterance that it is context-sensitive when its truth or falsehood depends on certain elements that only the context of utterance can reveal.