[Footnote 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.] [Footnote 40: _De monarchia,_ i. c. 3.] [Footnote 41: _La Cena delle ceneri_ (1584) in his _Opere italiane,_ ed. Gentile, i. 62, 107-8.] [Footnote 42: _Logicorum libri très,_ bk. ii. art. 7-10 (in the _Philosophiae rationalis pars secunda,_ Parisiis, 1637, pp. 433-7).] [Footnote 43: _De dignitate et augmentis scientiarum,_ bk. iii. c. 6.] [Footnote 44: _Essay,_ iv. ch. 4, § 6.] [Footnote 45: _Nouveaux essais,_ iv. ch. 4.] [Footnote 46: _Op. cit._ p. 64.] [Footnote 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.] [Footnote 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."] [Footnote 49: G. Papini, _La Novità di Vico_ in _L'Anima,_ Florence, September 1911, pp. 264-6; cf. on this article, _Critica,_ x. 56-8.] [Footnote 50: Papini probably owes this passage to a small anthology of Galileo by Favaro (Florence, Barbèra, 1910), p, 303, which refers to the national edition of his _Opere,_ iv. 631; here the passage occurs in the _Considerazioni sopra il discorso di Colombo_ (1615).] [Footnote 51: G. Papini, _loc. cit._ pp. 265-6.]