Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Frege on Knowing the Third Realm' and 'New system of communication of substances'

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15 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz]
I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
9. Objects / A. Existence of Objects / 5. Simples
The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substance must necessarily involve progress and change [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]