- Notes on Contributors
- Essences and Kinds
- From Causes to Laws
- Space and Time
- The Mechanical Philosophy
- Machines, Souls, and Vital Principles
- The Soul
- Qualities and Sensory Perception
- The Passions
- Language and Semiotics
- Form, Reason, and Method
- Instruments of Knowledge
- Picturability and Mathematical Ideals of Knowledge
- Virtue and Vice
- Egoism and Morality
- Realism and Relativism in Ethics
- The Free Will Problem
- The Equality of Men and Women
- Natural Law as Political Philosophy
- Sovereignty and Obedience
- Conceptions of God
- The Epistemology of Religious Belief
- Religious Toleration
Abstract and Keywords
This article examines the role of picturability in mathematical demonstration in the seventeenth and eighteenth centuries and draws attention to the general question of the role that picturability places in cognitive grasp. It suggests that mathematical demonstration is particularly applicable in cognitive grasp it allows the problematic to be identified with some precision. It also discusses infinitesimal analysis and the question of direct proof and evaluates the role of picturability in the analysis of human cognitive capacities.
Stephen Gaukroger was educated at the universities of London and Cambridge. He moved to Australia in 1978, and is Professor of History of Philosophy and History of Science at the University of Sydney. Since 1995 he has been working on a long-term project on the emergence of a scientific culture in the West. To date, two volumes (of a projected five) have appeared: The Emergence of a Scientific Culture: Science and the Shaping of Modernity, 1210–1685 (Oxford, 2006) and The Collapse of Mechanism and the Rise of Sensibility: Science and the Shaping of Modernity, 1680–1760 (Oxford, 2010). He is presently at work on a third volume, The Naturalization of the Human and the Humanization of Nature: Science and the Shaping of Modernity, 1750–1830.
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