[39] The passages of Cassiodorus, Albertus and St. Thomas may be found collected in Mariétan, Problème de la classification des sciences d'Aristote à saint Thomas (Paris, 1901), see pp. 80, 168-9, 182-3, 185-6.

[40] De monarchia, i. c. 3.

[41] La Cena delle ceneri (1584) in his Opere italiane, ed. Gentile, i. 62, 107-8.

[42] Logicorum libri très, bk. ii. art. 7-10 (in the Philosophiae rationalis pars secunda, Parisiis, 1637, pp. 433-7).

[43] De dignitate et augmentis scientiarum, bk. iii. c. 6.

[44] Essay, iv. ch. 4, § 6.

[45] Nouveaux essais, iv. ch. 4.

[46] Op. cit. p. 64.

[47] Metaphys. viii. 1051 b. I append the passage: εὑρἰσκεται δὲ καὶ τὰ διαγράμματα ἐνεργεἰᾳ · διαιροῡντες γὰρ εὑρἰσκουσις. εὶ δ' ἧν διῃρημένα φανερὰ ἂν ἧν · νῦν δ' ἐνυπάρχει δυνάμει. διὰ τί δύο ὀρθαὶ τò τρίγωνον ὃτι αἱ περἱ μἱαν στιγμὴν γωνίαι ἲσαι δύο ὀρθαῑς. εὶ oὖν ἀνῆκτο ἡ παρὰ τἡν πλευρὰν ἰδόντι ἂν ἧν εὐθὺς δῆλον. διὰ τί ἐν ἡμικυκλίῳ ὀρΘὴ καΘόλου; διὀτι ἐὰν τρεῑς, ἤ τε βάσις δύο καὶ ἡ ἐκ μέσου ἐπισταΘεῑα ὀρΘὴ, ἰδόντι δῆλον τῷ ἐκεῑνο εἰδὀτι. ὤστε φανερòv ὄτι τὰ δυνάμει ὄντα εἰς ἐνέργεἰαν ἀναγόμενα εὑρἰσκεται. αἴτιον δ' ὄτι νὀησις ἡ ἐνεργεἰᾳ · ὤστ ἐξ ἐνεργεἰας ἡ δυνάμις. καὶ διὰ τοῡτο ποιοῡντες γιγνώσκουσιν.

[48] Scritti filosofici, ed. Papini, p. 7. In a passage of the Arte di ben pensare (Scritti, p. 72) Sarpi returns to mathematics and, while agreeing that it is less uncertain than the other sciences because in it "the mode and the proposition" are more clearly shown, goes on to say "it is also made in the same manner (as the others): it is not free from the suspicion of being not quite true." But clearly he is here speaking of the application of mathematics, of the act of counting and measuring physical objects: "this alone is certain: I count and reason in this manner, just as in eating honey I feel the effect which I call sweet; where I may be in error is the question whether this effect comes from the object or from the disposition of my taste: and there is no science where there are number and measurement, for all we can know is that we measure or count like this, and that the measure comes in or is used as many times as the thing seems to be equal to one such part and that equality is a concept of ours by which we express what then seems to happen."