Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'A Thousand Plateaus' and 'De Legibus Naturae'

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16 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
If a decision is in accord with right reason, everyone can agree with it [Cumberland]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Natural law is supplied to the human mind by reality and human nature [Cumberland]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland]
The happiness of all contains the happiness of each, and promotes it [Cumberland]
24. Political Theory / D. Ideologies / 1. Ideology
Political theory should not focus on the state or economy, but on the small scale of power [Deleuze/Guattari, by May]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law is immutable truth giving moral truths and duties independent of society [Cumberland]