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Two centuries ago Bernard Bolzano published his Contributions to a more well-founded presentation of mathematics which Goethe praised as “an opusculum of very high value”. Bolzano still seems to accept the traditional principle that that intension and extension of a concept stand in an inverse relation . In particular he claims that the concept of a genus proximum is always a component of the concept of the species which are subordinated to it. However, this does not harmonize with his simultaneous (...) |
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This volume examines the notion of an analytic proof as a natural deduction, suggesting that the proof's value may be understood as its normal form--a concept with significant implications to proof-theoretic semantics. |
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Gerade heute, wo sich die Aufmerksamkeit der führenden Philosophen, Logiker und Mathematiker erneut auf die Grundlagen der systematisch-deduktiven Mathematik richtet, ist dieses Buch von zeitnaher und tiefer Bedeutung. |
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With regard to scientific theory it is important to note that Kant in contrast to many later authors, believes that philosophy is a knowledge. To prove his argument, Kant found scientific examples for philosophical theses. According to his 12 categories of intellect he attempted to prove his view by the construction of 12 logical judgements. His scheme is considerably different to the Aristotelian devision of judgements despite his own view that the logic did make no progress since Aristotle. Kants categorisation (...) |
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