Charles Peirce's diagrammatic logic — the Existential Graphs — is presented as a tool for illuminating how we know necessity, in answer to Benacerraf's famous challenge that most ‘semantics for mathematics’ do not ‘fit an acceptable epistemology’. It is suggested that necessary reasoning is in essence a recognition that a certain structure has the particular structure that it has. This means that, contra Hume and his contemporary heirs, necessity is observable. One just needs to pay attention, not merely to individual (...) things but to how those things are related in larger structures, certain aspects of which relations force certain other aspects to be a certain way. (shrink)

Kant posits the schema as a hybrid bridging the generality of pure concepts and the particularity of sensible intuitions. However, I argue that countenancing such schemata leads to a third-man regress. Siding with those who think that the mid-way posit of the Critique of Pure Reason's schematism section is untenable, my diagnosis is that Kant's transcendental inquiry goes awry because it attempts to analyse a form/matter union that is primitive. I therefore sketch a nonrepresentational stance aimed at respecting this primitivity.

In response to the claim that our sense of will is illusory, some philosophers have called for a better understanding of the phenomenology of agency. Although I am broadly sympathetic with the tenor of this response, I question whether the positive-theoretic blueprint it promotes truly heralds a tenable undertaking. Marshaling a Schopenhauerian insight, I examine the possibility that agency might not be amenable to phenomenological description. Framing this thesis in terms of Charles S. Peirce’s semiotic framework, I suggest a way (...) to integrate the idea of streaming experiences with that of bodily strivings, which, owing to their primitive structure, can never be represented. (shrink)