Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Abstract Entities' and 'Letter to Pythocles'

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16 ideas

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]
7. Existence / A. Nature of Existence / 4. Abstract Existence
Some abstract things have a beginning and end, so may exist in time (though not space) [Swoyer]
7. Existence / D. Theories of Reality / 1. Ontologies
Ontologists seek existence and identity conditions, and modal and epistemic status for a thing [Swoyer]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Can properties exemplify other properties? [Swoyer]
9. Objects / A. Existence of Objects / 5. Simples
Quantum field theory suggests that there are, fundamentally, no individual things [Swoyer]
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]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
We should accept as explanations all the plausible ways in which something could come about [Epicurus]
27. Natural Reality / E. Cosmology / 1. Cosmology
A cosmos is a collection of stars and an earth, with some sort of boundary, movement and shape [Epicurus]
28. God / C. Attitudes to God / 3. Deism
God does not intervene in heavenly movements, but is beyond all action and perfectly happy [Epicurus]