Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Precepts for Advancing Science and Arts' and 'How to Russell a Frege-Church'

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14 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 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
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
11989 For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 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
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 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
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
11990 'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
9668 'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
11991 If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
19392 I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz]