Language is expressed in a consecutive way that is called linearity; it is acceptable to think that language understanding also occurs in a linear way. In this paper, it will be argued that although sentences are expressed in a linear way, they are not understood in the same way, because we develop an understanding of the entwined phrases forming a sentence beyond the single words. Therefore, it is argued that linearity cannot adequately explain sentence understanding. In addition, by introducing the (...) concept of mental work that is based on “the law of less work” or our natural tendency toward less mental effort, we will try to explain sentence understanding based on the ladder model instead of the linear model. (shrink)

Normativism in the theory of meaning and content is the view that linguistic meaning and/or intentional content are essentially normative. As both normativity and its essentiality to meaning/content can be interpreted in a number of different ways, there is now a whole family of views laying claim to the slogan “meaning/content is normative”. In this essay, we discuss a number of central normativist theses, and we begin by identifying different versions of meaning normativism, presenting the arguments that have been put (...) forth for and against them. (shrink)

In order to explain Wittgenstein’s account of the reality of completed infinity in mathematics, a brief overview of Cantor’s initial injection of the idea into set- theory, its trajectory and the philosophic implications he attributed to it will be presented. Subsequently, we will first expound Wittgenstein’s grammatical critique of the use of the term ‘infinity’ in common parlance and its conversion into a notion of an actually existing infinite ‘set’. Secondly, we will delve into Wittgenstein’s technical critique of the concept (...) of ‘denumerability’ as it is presented in set theory as well as his philosophic refutation of Cantor’s Diagonal Argument and the implications of such a refutation onto the problems of the Continuum Hypothesis and Cantor’s Theorem. Throughout, the discussion will be placed within the historical and philosophical framework of the Grundlagenkrise der Mathematik and Hilbert’s problems. (shrink)

Models of memory in cognitive science and philosophy have traditionally explained human remembering in terms of storage and retrieval. This tendency has been entrenched by reliance on computationalist explanations over the course of the twentieth century; even research programs that eschew computationalism in name, or attempt the revision of traditional models, demonstrate tacit commitment to computationalist assumptions. It is assumed that memory must be stored by means of an isomorphic trace, that memory processes must divide into conceptually distinct systems and (...) phases, and that human remembering consists in inner, cognitive processes that are implemented by distinct neural processes. This dissertation draws on recent empirical work, and on philosophical arguments from Ludwig Wittgenstein and others, to demonstrate that this latent computationalism in the study of memory is problematic, and that it can and should be eliminated. Cognitive psychologists studying memory have encountered numerous data in recent decades that belie archival models. In cognitive neuroscience, establishing the neural basis of storage and retrieval processes has proven elusive. A number of revised models on offer in memory science, that have taken these issues into account, fail to sufficiently extricate the archival framework. Several impasses in memory science are products of these underlying computationalist assumptions. Wittgenstein and other philosophers offer a number of arguments against the need for, and the efficacy of, the storage and retrieval of traces in human remembering. A study of these arguments clarifies the ways that these computationalist assumptions are presently impeding the science of memory, and provides ways forward in removing them. We can and should characterize and model human memory without invoking the storage and retrieval of traces. A range of work in connectionism, dynamical systems theory, and recent philosophical accounts of memory demonstrate how the science of memory can proceed without these assumptions, toward non-archival models of remembering. (shrink)

Wittgenstein’s use of the word ‘phenomenology’ to describe his own work in Philosophical Remarks and The Big Typescript has occasioned much puzzlement and confusion. This paper seeks to shed light on what Wittgenstein meant by the word through a close analysis of key passages in those two works. I argue against both the view of Nicholas Gier that Wittgenstein held ‘grammatical’ phenomenological remarks to be synthetic a priori and that expressed by Moritz Schlick that Wittgenstein held grammar to be tautological. (...) I also take issue with the claim by Merrill and Jaakko Hintikka that Tractatus Logico-Philosophicus ought to be regarded as a work of phenomenology. Wittgenstein’s adoption of a variant of Husserlian phenomenology, I argue, lasted no more than a few months, from February to October 1929, during which he conceived of phenomenology as something that sought to establish what one might call ‘analytic a posteriori’ truths through something like the Husserlian method of ‘bracketing’. By the end of 1929, I claim, he had abandoned that in favour of the view expressed in the slogan ‘phenomenology is grammar’, where ‘grammar’ is not confined to the tautological, but is rather intimately linked to Wittgenstein’s notion of ‘the understanding that consists in seeing connections’. (shrink)

In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has ‘not yet made the role of miscalculating clear’ and that ‘the role of the proposition: “I must have miscalculated”…is really the key to an understanding of the “foundations” of mathematics.’ In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a ‘foundation’ for mathematics. Then, by showing how the proposition ‘I must have miscalculated’ differentiates mathematics from the (...) physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics. (shrink)