Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Coherence: The Price is Right' and 'Course of Positive Philosophy'

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17 ideas

1. Philosophy / G. Scientific Philosophy / 2. Positivism
The phases of human thought are theological, then metaphysical, then positivist [Comte, by Watson]
2. Reason / A. Nature of Reason / 6. Coherence
Coherence problems have positive and negative restraints; solutions maximise constraint satisfaction [Thagard]
Coherence is explanatory, deductive, conceptual, analogical, perceptual, and deliberative [Thagard]
Explanatory coherence needs symmetry,explanation,analogy,data priority, contradiction,competition,acceptance [Thagard]
3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude comes from including more phenomena, and revealing what underlies [Thagard]
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]
14. Science / B. Scientific Theories / 1. Scientific Theory
Neither a priori rationalism nor sense data empiricism account for scientific knowledge [Thagard]
14. Science / C. Induction / 6. Bayes's Theorem
Bayesian inference is forced to rely on approximations [Thagard]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The best theory has the highest subjective (Bayesian) probability? [Thagard]