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Aristote et la hiérarchie des sciences

digital Aristote et la hiérarchie des sciences
fascicolo RIVISTA DI FILOSOFIA NEO-SCOLASTICA - 2019 - 4. Franz Brentano The Origin and Originality of his Thought and School
titolo Aristote et la hiérarchie des sciences
Aristotle and the Hierarchy of Sciences
editore Vita e Pensiero
formato Articolo | Pdf
online da 02-2020
doi 10.26350/001050_000154
issn 00356247 (stampa) | 18277926 (digitale)
€ 6,00

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«You cannot prove anything by crossing from another kind – e.g. something geometrical by arithmetic. There are three things involved in demonstration: one, what is being demonstrated, or the conclusion (this is what holds of some kind in itself); one, the axioms (axioms are the items from which the demonstrations proceed); third, the underlying kind whose attributes – i.e. the items incidental to it in itself – the demonstrations make plain» (Aristotle, Posterior Analytics 75a38-b2). However, Aristotle accepts an exception: the case of the sciences having a hierarchical relationship, such that one falls under the other. In this case it is possible to prove by crossing from another kind. Throughout Posterior Analytics Aristotle presents several examples of sciences having this relationship. My goal is to analyse such examples in order to show the importance and coherence of the Aristotelian theory of the hierarchy of sciences.


Posterior Analytics, Hierarchy of Mathematical Sciences, Underlying Kind, Axioms, Predicate of Conclusion

Biografia dell'autore

Università degli Studi di Bergamo. Email: