“When Galileo said 'the book of nature is written in mathematics' he wasn't whistling Dixie.” — Wayfarer
What Galileo said, if I’m not wrong, was something more like, mechanics is the language in which god wrote nature. Anyway, he said it in scholastic Latin intelligible to his dear friend the Pope. Math didn’t mean quite the same thing in the medieval world, remember, music was “math in time”. By the way, the reason for Galileo's difficulty was that vacuums are outliers, no one wanted to let in the doctrine of inertia because it was outrageously illogical! It played the outlier, a claim to a pure vacuum, against all experience of human beings at all times. You will admit, I’m sure, that still plays a role, since there is no real vacuum, but the ‘paradigm’ is still the model for thinking.
One needs to ask, what does Newton mean by
hypothesis non fingo? This is prefigured by Galileo's thought experiment. And, empirically, it is the result of the telescope seeing the falsehood of the view that the perfect circle moves on the vault or ceiling of the heaven, which was not a metaphor.
“The 'order of nature' is a given, but why it is, is a completely different kind of question to what can be discovered, given that the order exists. That is what I think Wittgenstein is commenting on.”
He doesn't know how to distinguish between the Scholastics and the ancients. The medievals gave the Why, in god’s intellect. This is impossible in ancient thought, because
phusis is said in contradistinction to
nomos or law. The Greek, and now universally powerful idea of nature was modified by the Christians, and now has become Positivism.
Phusis, also, is said in contradistinction to art, in the sense of not blind
phusis, but knowingly making shoes. God’s art is a third step here.
“role formerly assigned to the Divine Intelligence”
This wouldn’t be intelligence. Thomas speaks of God’s
sapientiae, wisdom, science skill.
Phusis is wholly blind, man has art, e.g., shoemaking, God is sapient: he brings forward the good
telos. Nature is blind for the medievals, it is that which is, but not that by which it is. Only the “person” has intelligence. It is removal of the intelligence or person. Persona
Dei Verbi = logos! Math has no logos, no Word. No Christ =
persona verbi! Ergo, this “intelligence”, as ‘rational’ ordering, is not properly rational ordering. It’s not Good, but blind.
“Aristotle rejected the idea that the forms were real in any sense other than the manifest -”
This is misleading. What Aristotle does is say, I see the accidents, the counters of the pink fingernails, the fingers, the hand, these belong to the man. He rejects the view that the man, substance, or idea in the abstract doctrinal sense is prior, he denies the changes are first, i.e., the long and short finger nail point to the fingernail as the place where the change happens. He says, there must be a ground for both, the
hule, hyle, material! It is not at all what horribly silly people like Russel think. Wittgenstein was forced to kiss up to Russell you know, by imitating his trashy work at first. There’s no reality in Aristotle, there is
ousia (as material, as true and false, as being and not being, etc.) which becomes
hypostasis or foundation as
“suppositum” in the medievals, and when it is qualified, it can be intelligent and “free” as person of god.
“ not sure if you have any questions; but, I'm still interested in entertaining this topic if you wish.” — Posty McPostface
“ Platonic interpretation of God as an abstract concept”
I think you place too much emphases on one part of Plato's "teaching". Was it teaching or open investigation? This latter is the only thing that makes sense, since who would want to merely "contemplate" concepts? How could that be a highest
telos? No, living
eidoi, which were open to thought!
Eidos and
idea refer to ordinary experience (still too, in modern Greek, if I am not mistaken), I see a Plane tree, and another, then a third. A pattern! This is direct experience.
Idea ( ἰδέα) means, literally, straightforwardly:
species (and not understood as mere taxonomic formalism). That is the Latin for
idea. It's as though one would say tigers are “abstract”, but, tell it to someone who sees a tiger put its head and shoulders silently above the thick jungle!!! Species does not mean primarily the “tigerlyness”, instead of the tiger. That’s the subject of science, or knowledge. Reread the 7th letter without presupposing the “more-perfect” circle interpretation. He means, rather, the knowledge too, the tigerness, is through the
idea. As is the tiger.