As usual, I go straight to the Oxford Dictionary of the English Language for definitions: Nominalism is the view which regards universals or abstract concepts as mere names without any corresponding reality.
Which would instantly take geometry, algorithms, formulae of every description (e.g., even culinary recipes), universal laws, logic, human languages, scientific theories, etc., etc., right off the table not to mention soul and spirit. Which to me is not an inviting prospect, assuming we-all are the least bit interested in studying Nature, or the universe, which seemingly includes objects of this kind.
The problem is, they are not tangible objects, such that you could physically measure. Yet science has no method and no language without these intangible objects.
So all Ive got to say is, it doesnt pay to be a nominalist. :^)
This recalls Tegmarks observations respecting the birds-eye view, and the frogs view the bird hanging outside the 4D spacetime block that conditions human perception and explanation, and the frog moving along his path in 4D spacetime; and how Tegmark thinks this contrast is the same that obtains between Plato and Aristotle respectively, both of whom had valid approaches and methods to deal with the problem of revealing the laws of the Cosmos. Clearly, Plato was no nominalist; he is said to be the founder of philosophical realism. Aristotle, of course, was no nominalist either: He is often thought of as the first genuine scientist. Within that framework, one would have to place the nominalist as off the scale altogether: For in all probability, neither Plato nor Aristotle could give him hospitality: For the nominalist has no way to account for nor explain the empirical reality of his own existence and experience. And the reason for this is: He has detached his thinking from his experience. This strikes me as being a very dangerous procedure.
FWIW. Must get back to work. Meanwhile, Im lurking away whenever I can, very much enjoying your conversations with js1138, StJacques, PatrickHenry, Nebullis. Ill jump back in as soon as I can.
Thank you so much for your brilliant posts, A-G! Clearly, you are no nominalist.