Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Ordinatio' and 'Letters'

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15 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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
A universal is not a real feature of objects, but only a thought-object in the mind [William of Ockham]
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]
18. Thought / E. Abstraction / 2. Abstracta by Selection
A universal is the result of abstraction, which is only a kind of mental picturing [William of Ockham]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Virtues and vices are like secondary qualities in perception, found in observers, not objects [Hume]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
All virtues benefit either the public, or the individual who possesses them [Hume]
26. Natural Theory / C. Causation / 3. Final causes
The idea of a final cause is very uncertain and unphilosophical [Hume]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
That events could be uncaused is absurd; I only say intuition and demonstration don't show this [Hume]