Thomas Aquinas in the Summa Theologiae discusses about the truth and falsehood and concludes: "Abstraction does not admit falsehood".
Thomas de Aquinas in Q 17 A 1 expresses: "a thing is false if that is made in such a way that it has a false opinion", the theologian also expresses: "and because we are innate to judge by appearances, since the origin of our knowledge is in our senses, which the first and immediate that they capture is the external, we call false those things that by their appearances have certain resemblance with others, for which those are called false. Example: the bile is false honey, the tin is false silver. ", continues and defines:" false things are called those things that are made to look like what they are not or how they are not ".
Every process of abstraction works on the ideas, the essence of the objects, the species, the genres, the universals, that is to say, the ultimate and constitutive elements of the objects, eliminating all superfluous elements, that is why the falsehood can not occur.
On the ideas Thomas Aquinas explains in Q 15 A1: "In all those things that are not generated by chance, it is necessary that the form (idea) is the end of engendering each thing, example: man begets man; the fire to the fire. But in some, the form pre-exists as an intelligible being, as in those who act by knowledge. Example: the house preexists in the mind of the builder".
The teaching of Thomas Aquinas has application in the scientific method, and in the sciences in general, the sciences work with ideas, with abstractions. And in particular this is true in the hard sciences, mathematics, geometry and physics.