Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Could a computer ever understand?' and 'Evil and Omnipotence'

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12 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]
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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Is evil an illusion, or a necessary contrast, or uncontrollable, or necessary for human free will? [Mackie, by PG]
The propositions that God is good and omnipotent, and that evil exists, are logically contradictory [Mackie, by PG]