Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'A Thousand Small Sanities' and 'The Limits of Contingency'

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39 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
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]
9. Objects / A. Existence of Objects / 4. Impossible objects
A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
10. Modality / A. Necessity / 5. Metaphysical Necessity
'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
10. Modality / A. Necessity / 6. Logical Necessity
Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
10. Modality / B. Possibility / 3. Combinatorial possibility
Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
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]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Most good social changes are incremental, rather than revolutionary [Gopnik]
24. Political Theory / D. Ideologies / 3. Conservatism
Conservatives often want peace, prosperity and tolerance, but not social fairness [Gopnik]
Conservatives believe obedience and rank are essential to social order [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
The opposite of liberalism is dogmatism [Gopnik]
People are fallible, so liberalism tries to distribute power [Gopnik]
Liberals have tried very hard to build a conscience into their institutions [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Left-wingers are inconsistent in their essentialist descriptions of social groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberal community is not blood ties or tradition, but shared choices, and sympathy for the losers [Gopnik]
Liberal community includes flight from the family, into energetic reforming groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Modern left-wingers criticise liberalism's control of culture [Gopnik]
Right-wingers attack liberal faith in reason, left-wingers attack its faith in reform [Gopnik]
Cosmopolitan liberals lack national loyalty, and welcome excessive immigration [Gopnik]
Liberalism's attempt to be neutral and colour-blind erases cultural identities [Gopnik]
24. Political Theory / D. Ideologies / 9. Communism
Classic Marxists see liberalism as the ideology of the bourgeoisie [Gopnik]
24. Political Theory / D. Ideologies / 11. Capitalism
Environmental disasters result not from capitalism, but from a general drive for growth [Gopnik]
24. Political Theory / D. Ideologies / 14. Nationalism
Popular imperialism gives the poor the belief that their acts have world historical meaning [Gopnik]
Patriots love their place, but nationalists have a paranoid ethnic hostility [Gopnik]
25. Social Practice / A. Freedoms / 3. Free speech
Liberal free speech is actually paid speech [Gopnik]
25. Social Practice / A. Freedoms / 4. Free market
A 'free' society implies a free market, which always produces predatory capitalism and inequalities [Gopnik]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]