There are so many different styles of “teleology”. Why don’t you synthesise your own, more solid version of it, from the best components of the imperfect versions we have been served up with? As for logic, it is far bigger than usually supposed.
Etienne Gilson proposed Methodical Realism as antidote to both metaphysical idealism, and nominalistic materialism (both of which lead to literalism and fundamentalism).
C S Peirce, Thomas Sebeok and Roland Barthes contributed to semiotics. M A K Halliday commented on Shannon’s and Wheeler’s tentative thoughts on matter as a special case of meaning. The anthropic principle is at any rate not disproven by humankind’s apparent presence hereabouts!
Einstein suggested the existence of gravity waves which was politely ignored for a century. Most branches of history, cosmology and sciences of living forms have been hampered by the repeated censorship and destruction of formerly known lore.
We know what a wave does, but not what it “is”. Combustion mostly depends on oxygen, so the concept of phlogiston has receded, but we still don’t know much about the “why”.
Almost all etymology seems to have been metaphorical or euphemistic in origin.
Aristotle’s Nicomachean Ethics strike me as nice and practical, especially the mental virtues. In Kant, “consider everyone - including yourself - an end in themselves, not a means only” is what I call a principle (even if he got lost attempting to develop it).
I too, highly commend Newman’s Grammar Of Assent.
On the topic of Washington on the Potomac we are high on verification / falsification and relatively low on broad-brush general inference because more evidence fills out a picture that is largely roughly similar to what we have already. (Diaries, camp records, finds in the ground.) One might say something startling about the role of a particular general, or move a skirmish by some hundreds of yards or some hours, or be able to document the activities of civilians.
In personal religious belief on the other hand we have to be high on inference from evidence of God’s action in providence and in the growth of personalities amidst individuals’ ups & downs, and low in verification / falsification as it is usually regarded (i.e tentativeness). This is because Holy Spirit “sixth sense” (especially in others’ specifics) isn’t given to all simultaneously.
Hence Newman’s “assent to degrees of inference” applies, in different ways, to all fields of science and scholarship as well as religious belief. Working hypotheses are extremely respectable, as are “notions” from which we may propose ever increasing amounts of tentative and potential parallel hypotheses. These should not be regarded as knocking each other out, or judged prematurely.
Your inference - your degrees - your assent - your pidgin. Have you got compassion for the uniqueness of the next person? For your own uniqueness?