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Titlebook: Spinoza’s Epistemology through a Geometrical Lens; Matthew Homan Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusiv

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978-3-030-76741-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Introduction,knowledge, via an interrogation of the ontology of mathematical entities. I provide relevant background regarding the “mathematization of nature” in the seventeenth century, contrasting different forms of mathematical realism and antirealism, and canvassing the respective views of Descartes, Galileo
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Reason and Imagination in Spinozan Science, I address a number of interpretive issues pertaining to reason, including the nature, origin, and adequacy of common notions. I also address the issue of the adequacy of the findings of Spinozan science raised by the role of the imagination therein. Ultimately, I argue for a hypothetico-deductive i
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,Spinoza’s Notions of Essence, distinguishing between common essences at the level of attribute and infinite mode at one extreme, singular essences at the level of finite individuals at the other extreme, and species essences in the middle (which, I argue, exist only as beings of reason). I also clarify Spinoza’s notions of form
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Intuitive Knowledge: The Perfection of Reason,f which it is capable. With the help of a geometrical example modeled on, but more suggestive than, Spinoza’s fourth proportional example, I argue for a “method interpretation” of the distinction between reason and intuitive knowledge, according to which they differ only in their respective methods
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Introduction,he seventeenth century, contrasting different forms of mathematical realism and antirealism, and canvassing the respective views of Descartes, Galileo, Gassendi, and Hobbes as representative of the intellectual landscape. I outline my argument for attributing a geometrical realist position to Spinoza and overview the chapters of the book.
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