JF wonders is there is just one way to grasp a mode of presentation (MOP), as one would indeed expect, given one is said to have as many ways of thinking about a referent as concepts of that referent, and so (since those ‘ways’ can harmlessly, or so it seems, identified w/MOPs), that concepts identity is a question of MOP identity.
Now JF draws a (to my mind, useful) distinction between a sense and a diagram , say, of a triangle (which I use, supposedly, to think about a trigonometry problem): the difference is the diagram doesn't individuate shit; it can be used to think about/present triangles, closed figures etc. Now if a MOP is really a diagram, and not a sense, (since diagrams must differ from senses on pain of senses failing to individuate concepts, as JF puts it) then (any given reasoner's) concept (must) = MOP + ‘way’ (viz. how the MOP is entertained, a distinction one doesn't make w/senses--because one can't) of thinking.
That's nice. JF's explanation of why that's a problem for Frege doesn't work though. He says that MOPs were sent to individuate concepts. While that's true, it's not that every single MOP does that, but all of them (for a given concept) (see p. 19). Otherwise senses (which JF identifies w/MOPs, see bottom p. 17, when Frege clearly says the one is “included” ( enthalten ) in the other) can't even determine referents for the exact same reason (many senses, one referent)! In passing, it's not true that we don't have a metaphysics of MOPs: we have tropes!
If you want the MOP of a concept, then you'll need an odd MOP: viz. the only MOP in the game for that concept (i.e. a MOP that caught what John Bacon called 'syntropy'). But given that MOPs come in packs, you don't get to simply P your concepts through MOs. That's where the whole ‘horse’ paradox from “Concepts and Object” came from (nowhere discussed by JF mind you).
Bacon's (1995, p. 21) example of syntropy is helpful here to make sense of the difference of causal power between what senses do to what they are senses of as part of their determination function, and causal relationships in metaphysics: blood type is a syntropic property because there's only one way for you to have yours, BUT it's obvious enough one's (uniquely) having one's blood type can manifest itself in a variety of ways (and so many MOPs), just as ‘walking’ admits of adverbial modifications (slow, fast etc.). These two are different cases of there being different ways for some thing(s) to be in different ways themselves. Senses seem to introduce differences at levels deeper than just properties and all the sorts of things that actually can enter in causal relations w/other things.
Ref
BACON John, Universals and Property Instances. The Alphabet of Being , (Oxford: Blackwell, 1995)