Are there universal properties grounding our sense of resemblance or qualitative identity among a number of distinct things or events which appear to form a class, a type or a kind of some other sort? Do universals such as humanness, triangularity, or being an Oak exist? Is being a laptop computer a universal, which has only recently come into existence? Do predicate expressions, adjectives or abstract nouns refer to objective properties or cognitive contents called concepts? The problem of universals has (...) been at the centre of ancient, medieval, Western, and Indian metaphysics. After the logico-linguistic turn in philosophy, this problem re-surfaced in the discourse on the meaning of predicate expressions on the one hand and in the theories of concepts on the other. (shrink)

Alex Oliver has offered a variety of counterexamples to Crispin Wright's Reference Principle. I suggest that these counterexamples rely on too simple a notion of substitution to be compelling. However, this is not a satisfactory place to leave the discussion: we need some alternative account of substitution in English. In his recent paper, Dolby has attempted to give just such an account. I argue that Dolby's account is viciously circular. I then draw some morals from the discussion.

Frege held that singular terms can refer only to objects, not to concepts. I argue that the counter-intuitive consequences of this claim ('the concept paradox') arise from Frege's mirroring principle that an incomplete expression can only express an incomplete sense and stand for an incomplete reference. This is not, as is sometimes thought, merely because predicates and singular terms cannot be intersubstituted salva veritate ( congruitate ). The concept paradox, properly understood, poses therefore a different, harder, challenge. An investigation of (...) the foundations of the mirroring principle also sheds light on the role which language plays in Frege's epistemology of logic. (shrink)

This paper provides a new solution to the concept horse paradox. Frege argued no name co-refers with a predicate because no name can be inter-substituted with a predicate. This led Frege to embrace the paradox of the concept horse. But Frege got it wrong because predicates are impurely referring expressions and we shouldn’t expect impurely referring expressions to be intersubstitutable even if they co-refer, because the contexts in which they occur are sensitive to the extra information they carry about their (...) referents. (shrink)

I articulate and defend a necessary and sufficient condition for predication. The condition is that a term or term-occurrence stands in the relation of ascription to its designatum, ascription being a fundamental semantic relation that differs from reference. This view has dramatically different semantic consequences from its alternatives. After outlining the alternatives, I draw out these consequences and show how they favour the ascription view. I then develop the view and elicit a number of its virtues.

How are philosophical questions about what kinds of things there are to be understood and how are they to be answered? This paper defends broadly Fregean answers to these questions. Ontological categories—such as object , property , and relation —are explained in terms of a prior logical categorization of expressions, as singular terms, predicates of varying degree and level, etc. Questions about what kinds of object, property, etc., there are are, on this approach, reduce to questions about truth and logical (...) form: for example, the question whether there are numbers is the question whether there are true atomic statements in which expressions function as singular terms which, if they have reference at all, stand for numbers, and the question whether there are properties of a given type is a question about whether there are meaningful predicates of an appropriate degree and level. This approach is defended against the objection that it must be wrong because makes what there depend on us or our language. Some problems confronting the Fregean approach—including Frege’s notorious paradox of the concept horse—are addressed. It is argued that the approach results in a modest and sober deflationary understanding of ontological commitments. (shrink)

How are philosophical questions about what kinds of things there are to be understood and how are they to be answered? This paper defends broadly Fregean answers to these questions. Ontological categories—such as object, property, and relation—are explained in terms of a prior logical categorization of expressions, as singular terms, predicates of varying degree and level, etc. Questions about what kinds of object, property, etc., there are are, on this approach, reduce to questions about truth and logical form: for example, (...) the question whether there are numbers is the question whether there are true atomic statements in which expressions function as singular terms which, if they have reference at all, stand for numbers, and the question whether there are properties of a given type is a question about whether there are meaningful predicates of an appropriate degree and level. This approach is defended against the objection that it must be wrong because makes what there depend on us or our language. Some problems confronting the Fregean approach—including Frege’s notorious paradox of the concept horse—are addressed. It is argued that the approach results in a modest and sober deflationary understanding of ontological commitments. (shrink)

This paper defends a deflationary conception of properties, according to which a property exists if and only if there could be a predicate with appropriate satisfaction conditions. I argue that purely general properties and relations necessarily exist and discuss the bearing of this conception of properties on the interpretation of higher-order logic and on Quine's charge that higher-order logic is ‘set theory in sheep's clothing’. On my approach, the usual semantics involves a false assimilation of the logic to set theory. (...) I conclude with remarks about implications for the programme of founding mathematical theories in higher-order logic plus abstraction principles. (shrink)

If we make the basic assumption that the components of a proposition have reference on the model of proper name and bearer, we face the problem of distinguishing the proposition from a mere list' of names. We neutralize the problem posed by that assumption of we first of all follow Wiggins and distinguish, in every predicate, a strictly predicative element (the copula), and a strictly non-predicative conceptual component (available to be quantified over). If we further allow the copula itself to (...) conform to the basic assumption, a regress ( Bradley's regress') arises: the referent of the copula will be instantiation, the instantiation of instantiation etc. To avert the regress, Wiggins simply legislates that the basic assumption is to fail for the copula. But we are entitled to regard the regress as constitution not a difficulty, but the solution: the infinitism it imports (capturable in a finitistic theory of meaning) is just what the unity of the proposition "is". (edited). (shrink)

Translation of Frege's 'Über Begriff und Gegenstand' (1892). Translation by Peter Geach, revised by Max Black.

[Translation of Frege's 'Gedankengefüge' (1923)].

It is often maintained that co-referential terms can be substituted for one another whilst preserving truth-value in extensional contexts, and preserving grammaticality in all contexts. Crispin Wright calls this claim ‘The Reference Principle’ . Since Wright defines extensional contexts as those in which truth-value is determined only by reference, it is the assertion about substitution salva congruitate that is significant. Wright argues that RP is the key to understanding how Frege came to hold, paradoxically, that the concept horse is not (...) a concept, and to providing a resolution to the paradox .RP and Wright's application of it to Frege's Paradox have recently been criticized by Oliver . 1 Oliver argues that the syntax of natural languages is too complicated for the failure of two terms to fit into the same forms of speech to indicate a difference in semantic significance: RP is, he claims, an empirical falsehood.I shall argue that, although Oliver's arguments show that RP is false as it stands, a revised version of the principle, employing a more robust notion of substitution, is nevertheless correct. I shall end by outlining the implications of this revision for the appeal to RP and for Wright's resolution of Frege's Paradox.1. Referring terms and referential positionOliver's case against RP appeals to an impressive array of counter-examples. For our purposes it will be useful to regard these as being of three sorts. The first sort can be dealt with relatively swiftly: examples of the second and third sorts are more challenging.The first sort of counter-example involves referring terms that feature as parts of complex referring expressions. Oliver's examples include ‘William’ in the complex expression ‘William the Conqueror’ . The substitution of expressions co-referential with ‘William’ into sentences employing the complex referring expression often results in ungrammatical …. (shrink)

Can we quantify over everything: absolutely, positively, definitely, totally, every thing? Some philosophers have claimed that we must be able to do so, since the doctrine that we cannot is self-stultifying. But this treats restrictivism as a positive doctrine. Restrictivism is much better viewed as a kind of militant quietism, which I call dadaism. Dadaists advance a hostile challenge, with the aim of silencing everyone who holds a positive position about ‘absolute generality’.

Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things--not in meanings or concepts.

Here, Bob Hale and Crispin Wright assemble the key writings that lead to their distinctive neo-Fregean approach to the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the program and the contributions made to it by the various papers; a section explaining which issues most require further attention; and bibliographies of references and further useful sources. It will be recognized as the (...) most powerful presentation yet of a neo-Fregean program. (shrink)

Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things--not in meanings or concepts.

This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of ...

This is the first single-volume edition and translation of Frege's philosophical writings to include his seminal papers as well as substantial selections from ...