- 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 traces the development of an ideal of method that was inspired by Ramon Lull and subsequently found new expressions in many of the proponents of a new science in early modern Europe. It investigates the unravelling of the link between scientific reason and logic and their reweaving in a pattern that integrated scientific reason with mathematics and the discovery of mathematically formulated relationships. It discusses how the transformations of one family of concepts that include proportion, ratio, and measure are implicated in the transition from natural magic to rational mechanics.
Mary Tiles is Professor (emeritus) of Philosophy at the University of Hawaii, Mānoa. She is the author of Bachelard: Science and Objectivity (1984), Introduction to the Philosophy of Set Theory (1989), Mathematics and the Image of Reason (1991), co‐author with James Tiles of The Authority of Knowledge: An Introduction to Historical Epistemology (1993) and with Hans Oberdiek of Living in a Technological Culture: Human Tools and Human Values (1995). Recent research interests include the role of technology in the development of global environmental science.
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