Book contents
- Frontmatter
- Contents
- Acknowledgements
- Introduction
- 1 Spinoza and Relational Immanence
- 2 Diagrams of Structure: Categories and Functors
- 3 Peirce and Semiotic Immanence
- 4 Diagrams of Variation: Functor Categories and Presheaves
- 5 Deleuze and Expressive Immanence
- 6 Diagrams of Difference: Adjunctions and Topoi
- Conclusion
- Bibliography
- Index
- Frontmatter
- Contents
- Acknowledgements
- Introduction
- 1 Spinoza and Relational Immanence
- 2 Diagrams of Structure: Categories and Functors
- 3 Peirce and Semiotic Immanence
- 4 Diagrams of Variation: Functor Categories and Presheaves
- 5 Deleuze and Expressive Immanence
- 6 Diagrams of Difference: Adjunctions and Topoi
- Conclusion
- Bibliography
- Index
Summary
Now, in its turn, consider also how the intelligible section should be cut.
How?
Like this: in one part of it a soul, using as images the things that were previously imitated, is compelled to investigate on the basis of hypotheses and makes its way not to a beginning but to an end; while in the other part it makes its way to a beginning that is free from hypotheses; starting out from hypothesis and without the images used in the other part, by means of forms themselves it makes its inquiry through them.
Plato, RepublicI could talk talk talk talk talk myself to death / but I believe I would only waste my breath / ooh show me …
Roxy Music, ‘Re-Make/Re-Model’The present book develops an immanent ontology of relations based on the dynamics of formal diagrams. Elements of Spinoza's metaphysics of immanence, Peirce's semiotics and Deleuze's philosophy of difference are here integrated in an ontology of diagrammatic relations expressed formally in the framework of elementary category theory. The book has three broad goals: to outline an integrative approach to the problem of immanence in Spinoza, Peirce and Deleuze; to develop a model of ontology based on diagrammatic relations; and to introduce some of the most important constructions and basic techniques of category theory to a philosophically but not necessarily mathematically informed audience. The book thus brings together a philosophical concept (immanence), an experimental methodology (diagrams) and a contemporary field of mathematics (categories). Throughout the text the relations and overlaps across these areas are emphasised and the connections among them foregrounded. The three areas correlate roughly to three central theses:
• Immanent metaphysics entails relational ontology.
• Diagrams are the appropriate method for investigating immanence immanently.
• Category theory is the appropriate mathematics for modelling and investigating diagrams.
The book's overarching aim is to show the inner coherence of these three claims and to suggest something of why contemporary philosophy ought to care about them. The remainder of this introduction offers a synopsis of each thesis, some general remarks to place the overall argument in context, and an outline of the topics treated in each chapter.
- Type
- Chapter
- Information
- Diagrammatic ImmanenceCategory Theory and Philosophy, pp. 1 - 19Publisher: Edinburgh University PressPrint publication year: 2015