Many historical and philosophical studies treat infinity as an exclusively quantitative notion, whose proper domain of application is mathematics and physics. The main aim of this paper is to disentangle, by critically examining, three notions of infinity in the early modern period, and to argue that one—but only one—of them is quantitative. One of these non-quantitative notions concerns being or reality, while the other concerns a particular iterative property of an aggregate. These three notions will emerge through examination of three (...) central figures in the period: Locke, Descartes, and Leibniz. (shrink)

One question that has created controversy among interpreters is just how much is in doubt at the end of the Dream Argument in Meditation I. I argue that there is doubt about the existence of composite bodies not yet about the existence of a physical world. I also caution against using later parts of the Meditations to interpret the First Meditation on account of the order of reasons in this work. I connect the Omnipotent God argument to Descartes's views about (...) innate ideas and analyze the First Meditation in relation to Descartes's anti-aristotelian purposes. (shrink)

The idea of the missing shade of blue presents a difficulty for Hume's first principle that ‘all our simple ideas in their first appearance are deriv'd from simple impressions, which are correspond...

Some opponents of the incommensurability thesis, such as Davidson and Rorty, have argued that the very idea of incommensurability is incoherent and that the existence of alternative and incommensurable conceptual schemes is a conceptual impossibility. If true, this refutes Kuhnian relativism and Kantian scepticism in one fell swoop. For Kuhnian relativism depends on the possibility of alternative, humanly accessible conceptual schemes that are incommensurable with one another, and the Kantian notion of a realm of unknowable things-in-themselves gives rise to the (...) possibility of humanly inaccessible schemes that are incommensurable with even our best current or future science. In what follows we argue that the possibility of incommensurability of either the Kuhnian or the Kantian variety is inescapable and that this conclusion is forced upon us by a simple consideration of what is involved in acquiring a concept. It turns out that the threats from relativism and scepticism are real, and that anyone, including Davidson himself, who has ever defended an account of concept acquisition is committed to one or the other of these two possibilities.1. (shrink)

In this paper I argue against the received view that the anti‐nativist arguments of Book I of Locke's Essay conclusively challenge nativism. I begin by reconstructing the chief argument of Book I and its corollary arguments. I call attention to their dependence on (what I label) “the Awareness Principle”, viz., the view that there are no ideas in the mind of which the mind either isn't currently aware or hasn't been aware in the past. I then argue that the arguments' (...) dependence on this principle is question begging on two counts. Unless this principle is defended, Locke's arguments beg the question against Descartes and Leibniz because their nativism implies the denial of the Awareness Principle. And even when Locke defended the principle, his arguments remain question begging because they presuppose the empiricism they aim to prove. The disclosure of the question‐begging status of these arguments debunks a seemingly powerful way of attacking nativism. (shrink)

Descartes maintained that sensations of color and the like misrepresent the material world in normal circumstances. Some prominent scholars have argued that, to explain this Cartesian view, we must attribute to Descartes a causal account of sensory representation. I contend that neither the arguments motivating this reading nor the textual evidence offered in its support is sufficient to justify such attribution. Both textual and theoretical reasons point in the direction of an (at least partial) internalist account of Descartes' views on (...) sensory representation. (shrink)

A survey of innateness in cognitive science, focusing on (1) what innateness might be, and (2) whether concepts might be innate.

Philosophers have often claimed that general ideas or representations have their origin in abstraction, but it remains unclear exactly what abstraction as a psychological process consists in. We argue that the Lockean aspiration of using abstraction to explain the origins of all general representations cannot work and that at least some general representations have to be innate. We then offer an explicit framework for understanding abstraction, one that treats abstraction as a computational process that operates over an innate quality space (...) of fine-grained general representations. We argue that this framework has important philosophical implications for the nativism-empiricism dispute, for questions about the acquisition of unstructured representations, and for questions about the relation between human and animal minds. (shrink)

The problem of philosophical skepticism relates to the difficulty involved in underwriting the claim that we know anything of spatio-temporal reality. It is often claimed, in fact, that proper philosophical scrutiny reveals quite the opposite from what common sense suggests. Knowledge of external reality is thought to be even quite obviously denied to us as a result of the alleged fact that we all fail to know that certain skeptical scenarios do not obtain. A skeptical scenario is one in which (...) we have neurological occurrences just like any normal situation in which we actually perceive spatio-temporal objects, but where we are deceived in some sense as a result of the manipulation of our brains from some outside source. In this work I attempt to address the problem of philosophical skepticism by claiming that most of us are able to come to know plenty about external reality, since we can come to realize that a certain philosophical theory of perception is correct. The theory I have in mind is what I call a non-cognitive theory of perception. According to this view, perceptual experience is defined by continuous, sensitive behavioral interaction with spatio-temporal objects of the appropriate size, shape, hardness, speed, etc. Knowing that this theory of perception is correct is equivalent to knowing that we know plenty about external reality. This is ultimately because by knowing that a non-cognitive theory of perception is true, we know that any skeptical scenario must fail to obtain. The structure of the work proceeds by first discussing the significance of the problem of philosophical skepticism in some detail. Chapter 1 lays out how the problem does indeed forcefully arise if it is conceded that we fail to know that the skeptical scenarios fail to obtain. Chapter 2 develops the sort of view of our epistemological situation that falls out of accepting without qualification that the problem exists. Chapter 3 examines and criticizes certain popular responses to the skeptical problem. The main goal of these first three preliminary chapters is to indicate that once it is admitted that we fail to know that the skeptical scenarios fail to obtain, the problem of philosophical skepticism forcefully presents itself. Chapter 4, however, attacks the idea that we fail to know that the skeptical scenarios fail to obtain. In this chapter I argue that this idea is wedded to the position that a certain theory of perception is correct. The theory in question is what I call a conjunctive theory of veridical experience. According to this view, normal experience of spatio-temporal objects occurs when a subject has a certain perceptual experience, and that experience also happens to match up with and/or be satisfied by what is really the case. Only when a theory of this sort is assumed, I argue, is the claim that we fail to know that the skeptical scenarios fail to obtain found to be obvious. In chapter 5 I argue that, in fact, a non-cognitive theory, rather than a conjunctive theory, is the correct view to maintain. In the final chapter 6 I develop the epistemological position that falls out of accepting a non-cognitive theory. (shrink)