Conceptual role semanticists argue that concepts are individuated in terms of their roles in cognition. Some prominent conceptual role semanticists argue for the further claim that concepts are individuated in terms of their rational roles in cognition. This further claim places substantive normative constraints on concept-constitutive roles. I argue that conceptual role semanticists can and should resist the claim that conceptual roles must be specified in inherently normative terms.

So-called 'Frege cases' pose a challenge for anyone who would hope to treat the contents of beliefs (and similar mental states) as Russellian propositions: It is then impossible to explain people's behavior in Frege cases without invoking non-intentional features of their mental states, and doing that seems to undermine the intentionality of psychological explanation. In the present paper, I develop this sort of objection in what seems to me to be its strongest form, but then offer a response to it. (...) I grant that psychological explanation must invoke non-intentional features of mental states, but it is of crucial importance which such features must be referenced. -/- It emerges from a careful reading of Frege's own view that we need only invoke what I call 'formal' relations between mental states. I then claim that referencing such 'formal' relations within psychological explanation does not undermine its intentionality in the way that invoking, say, neurological features would. The central worry about this view is that either (a) 'formal' relations bring narrow content in through back door or (b) 'formal' relations end up doing all the explanatory work. Various forms of each worry are discussed. The crucial point, ultimately, is that the present strategy for responding to Frege cases is not available either to the 'psycho-Fregean', who would identify the content of a belief with its truth-value, nor even to someone who would identify the content of a belief with a set of possible worlds. It requires the sort of rich semantic structure that is distinctive of Russellian propositions. There is therefore no reason to suppose that the invocation of 'formal' relations threatens to deprive content of any work to do. (shrink)

Recognitional concepts have the following characteristic property: thinkers are disposed to apply them to objects merely on the basis of undergoing certain perceptual experiences. I argue that a prominent strategy for defending the existence of constitutive connections among concepts, which appeals to thinkers’ semantic-cum-conceptual intuitions, cannot be used to defend the existence of recognitional concepts. I then outline and defend an alternative argument for the existence of recognitional concepts, which appeals to certain psychological laws.

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

In the light of partial understanding, we examine the thesis that concepts are individuated in terms of possession conditions and show that adherents face a fatal dilemma: Either concept-individuating possession conditions include cases of partially understood concepts or not. If yes, possession conditions do not individuate concepts. If no, the thesis is too restricted and lacks a minimally satisfactory level of generalization.

It has been over thirty years since the publication of Jerry Fodor’s landmark book The Language of Thought (LOT 1). In LOT 2: The Language of Thought Revisited, Fodor provides an update on his thoughts concerning a range of topics that have been the focus of his work in the intervening decades. The Representational Theory of Mind (RTM), the central thesis of LOT 1, remains intact in LOT 2: mental states are relations between organisms and syntactically-structured mental representations, and mental (...) processes are computations defined over such representations. The differences between LOT 1 and LOT 2 are mostly differences of focus. Whereas LOT 1 had a number of targets—e.g. reductionism, behaviorism, empiricism, and operationalism—LOT 2 identifies “pragmatism” as the main enemy of the “Cartesian” kind of mentalism Fodor favors (pp. 11-12). Moreover, unlike LOT 1, a main aim of LOT 2 is to defend a theory of concepts that is atomistic and referentialist: lexical concepts lack structure, and their meaning is determined by their relation to the world and not by their relations to other concepts (pp. 16-20). In addition to new discussions of concepts and content, LOT 2 treats us to Fodor’s latest thoughts on compositionality, computationalism, nativism, nonconceptual content, and the causal theory of reference. Although those familiar with Fodor’s work over the last thirty years will find its main conclusions unsurprising, LOT 2 is nevertheless an exciting, breezily written book that’s full of stimulating arguments and (in standard Fodor style) immensely interesting digressions. In the Introduction, Fodor bundles together a number of distinct doctrines under “pragmatism”—e.g., that “knowing how is the paradigm cognitive state and it is prior to knowing that in the order of intentional explanation” (p. 10), and that “the distinctive function of the mind is guiding action” (p. 13). But it’s clear by Chapter 2 that his main target is “concept pragmatism,” according to which concepts are individuated by their inferential properties. Fodor’s “Cartesianism,” in contrast, has it that none of the epistemic properties of concepts are constitutive.. (shrink)

In the light of partial (mis)understanding, we examine the thesis that concepts are individuated in terms of possession conditions and show that adherents face a fatal dilemma: Either concept‐individuating possession conditions include cases of partially (mis)understood concepts or not. If yes, possession conditions do not individuate concepts. If no, the thesis is too restricted and lacks a minimally satisfactory level of generalization.

The core of the language of thought program is the claim that thinking is the manipulation of symbols according to rules. Yet LOT has said little about symbol natures, and existing accounts are highly controversial. This is a major flaw at the heart of the LOT program: LOT requires an account of symbol natures to naturalize intentionality, to determine whether the brain even engages in symbol manipulations, and to understand how symbols relate to lower-level neurocomputational states. This paper provides the (...) much-needed theory of symbols, and in doing so, alters the LOT program in significant respects. (shrink)