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- Richard Brown (2008). The Semantics of Moral Communication. Dissertation, The Graduate Center, CUNYAdviser: Professor Stefan Baumrin In the first chapter I introduce the distinction between metaethics and normative ethics and argue that metaethics, properly conceived, is a part of cognitive science. For example, the debate between rationalism and sentimentalism can be informed by recent empirical work in psychology and the neurosciences. In the second chapter I argue that the traditional view that one’s theory of semantics determines what one’s theory of justification must be is mistaken. Though it has been the case that there are ‘typical’ combinations of semantic and justificational theories this is by no means forced on one. In the third chapter I examine two current kinds of expressivism; that of Blackburn and Copp. Each gives us an example of different combinations of semantic and justificatory theory. In Blackburn’s case he combines a use theory of meaning with a classic emotivist theory of justification, In Copp’s case it is a neo-Gricean philosophy of language with a realist’s theory of justification. I find both of these wanting as they ultimately collapse into relativistic subjectivism. In the fourth and fifth chapter I turn to developing Emotive Realism. The basic idea behind this view is that when someone says ‘x is wrong/right’ that person has (a) expressed a moral emotion about x and at the same time (b) expressed the belief that the emotion in (a) is the correct one to have. The belief expressed in (b) will be true or false depending on one’s theory of justification. In the fourth chapter I argue that we need separate semantic theories for thoughts and sentences. In the fifth chapter I fill in the details of Emotive Realism as I see it.
In Chapter 1 we argue for identifying a part of meaning, the so-called referential meaning (model-checking), with algorithms. Moreover, we discuss the influence of computational complexity theory on cognitive tasks. We give some arguments to treat as cognitively tractable only those problems which can be computed in polynomial time. Additionally, we suggest that plausible semantic theories of the everyday fragment of natural language can be formulated in the existential fragment of second-order logic.
In Chapter 2 we give an overview of the basic notions of generalized quantifier theory, computability theory, and descriptive complexity theory.
In Chapter 3 we prove that PTIME quantifiers are closed under iteration, cumulation and resumption. Next, we discuss the NP-completeness of branching quantifiers. Finally, we show that some Ramsey quantifiers define NP-complete classes of finite models while others stay in PTIME. We also give a sufficient condition for a Ramsey quantifier to be computable in polynomial time.
In Chapter 4 we investigate the computational complexity of polyadic lifts expressing various readings of reciprocal sentences with quantified antecedents. We show a dichotomy between these readings: the strong reciprocal reading can create NP-complete constructions, while the weak and the intermediate reciprocal readings do not. Additionally, we argue that this difference should be acknowledged in the Strong Meaning hypothesis.
In Chapter 5 we study the definability and complexity of the type-shifting approach to collective quantification in natural language. We show that under reasonable complexity assumptions it is not general enough to cover the semantics of all collective quantifiers in natural language. The type-shifting approach cannot lead outside second-order logic and arguably some collective quantifiers are not expressible in second-order logic. As a result, we argue that algebraic (many-sorted) formalisms dealing with collectivity are more plausible than the type-shifting approach. Moreover, we suggest that some collective quantifiers might not be realized in everyday language due to their high computational complexity. Additionally, we introduce the so-called second-order generalized quantifiers to the study of collective semantics.
In Chapter 6 we study the statement known as Hintikka's thesis: that the semantics of sentences like ``Most boys and most girls hate each other'' is not expressible by linear formulae and one needs to use branching quantification. We discuss possible readings of such sentences and come to the conclusion that they are expressible by linear formulae, as opposed to what Hintikka states. Next, we propose empirical evidence confirming our th
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