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Contents


b) Ἐμπειρία. The referential connection: as soon as-then. Its temporal character. 49
c) Τέχνη. The modifications of the referential connection. The extraction of the εἶδος. If-then. Because-therefore. Τέχνη and ἐμπειρία. Καθόλου and καθ᾽ ἕκαστον. 51
§ 12. Excursus: καθόλου und καθ᾽ ἕκαστον. The way of philosophy (especially: Met. V, 26; Top. VI, 4; Phys. I, 1) 54
a) The manifold meanings of ὅλον. Καθόλου as ὅλον λεγόμενον (Met. V, 26) 54
b) The mode of access as distingens between καθ᾽ ἕκαστον and καθόλου. Αἴσθησις and λόγος. Πρὸς ἡμᾶς γνωριμώτερον and ἀπλῶς γνωριμώτερον. The way of philosophy (according to Top. VI, 4 and Met VII, 3): from καθ᾽ ἕκαστον to καθόλου. 57
c) The way of philosophy (Phys. Ι, 1). From the καθόλου τo the καθ᾽ ἕκαστον. Resolution of the supposed contradiction between Topics VI, 4 und Physics I, 1. 59
§ 13. Continuation: τέχνη αnd ἐπιστήμη (Met. 1,1). The tendency residing in τέχνη toward an "autonomous" ἐπιστήμη. The further development of ἐπιστήμη. 62
§ 14. Σοφία (Met. I, 2). The four essential moments of σοφία (πάντα, χαλεπώτατα, ἀκριβέστατα, αὐτῆς ἕνεκεν). Clarifying reduction of the first three essential moments to the μάλιστα καθόλου. 65
§ 15. Excursus: General orientation regarding the essence of mathematics according to Aristotle. 69
a) Fundamental issues in mathematics in general (Phys. II, 2). Χωρίζειν as the basic act of mathematics. Critique of the χωρισμός in Plato's theory of Ideas. 69
b) The distinction between geometry and arithmetic. The increasing "abstraction" from the φύσει ὄν : στιγμή = οὐσία θετός; μονάς = οὐσία ἄθετος. 71
α) Τόπος and θέσις (according to Phys. V, 1-5). The absolute determinateness (φύσει) of τόπος; the relative determinateness (πρὸς ἡμᾶς) of θέσις. The essence of τόπος: limit (πέρας) and possibility (δύναμις) of the proper Being of a being. 72
β) The genesis of geometry and arithmetic from τόπος. The acquisition of geometrical objects by extraction of the πέρατα (τόπος) of the φύσει ὄντα. The determination of their site (θέσις). Analysis situs. Μονάς: οὐσία ἄθετος. 75
γ) The structure of the connection of the manifold in geometry and arithmetic; συνεχές αnd ἐφεξῆς. 77
αα) The phenomena of co-presence as regards φύσει ὄντα (Phys. V, 3) 77
ββ) The structures of connection in the geometrical and the arithmetical: συνεχές αnd ἐφεξῆς. 79
γγ) Consequences for the connecting of the manifold in geometry and arithmetic (Cat. 6). 81